{ "schema": 1, "provenance": { "date": "2026-09-12", "node": "v24.14.0", "platform": "darwin", "arch": "arm64", "jsSha256": "43bb9bd520a8c798f5454ead7615f21f8e74ef13fd4f827f96f9ceac07b32014" }, "plane": { "version": 164, "parameters": { "geometry": "plane", "q": "1", "a": "1", "gap": "1", "Q": "0", "farRatio": "2", "order": "4", "angle": "45" }, "model": { "geometry": "plane", "q": 1, "a": 1, "gap": 1, "d": 1, "Q": 0, "qp": -1, "b": -1, "q0": 0, "sources": [ { "role": "real", "q": 1, "z": 1 }, { "role": "image", "q": -1, "z": -1 } ], "surfacePotential": 0, "surfaceCharge": -1, "physicalDomain": "z>0，平面上V=0，远处V趋于0" }, "boundary": [ { "coordinate": 0, "angle": null, "x": 0, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -2, "terms": [ { "role": "real", "distance": 1, "potential": 1, "ex": 0, "ez": -1 }, { "role": "image", "distance": 1, "potential": -1, "ex": 0, "ez": -1 } ], "normalField": -2, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -2, "normalResidual": 0, "density": -0.15915494309189535, "expectedDensity": -0.15915494309189535, "capCharge": 0 }, { "coordinate": 0.125, "angle": null, "x": 0.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.9540241264515308, "terms": [ { "role": "real", "distance": 1.0077822185373186, "potential": 0.9922778767136677, "ex": 0.12212650790322067, "ez": -0.9770120632257654 }, { "role": "image", "distance": 1.0077822185373186, "potential": -0.9922778767136677, "ex": -0.12212650790322067, "ez": -0.9770120632257654 } ], "normalField": -1.9540241264515308, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.9540241264515303, "normalResidual": -4.440892098500626e-16, "density": -0.15549629932279194, "expectedDensity": -0.1554962993227919, "capCharge": -0.007722123286332351 }, { "coordinate": 0.25, "angle": null, "x": 0.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.8261505885088603, "terms": [ { "role": "real", "distance": 1.0307764064044151, "potential": 0.9701425001453319, "ex": 0.22826882356360753, "ez": -0.9130752942544301 }, { "role": "image", "distance": 1.0307764064044151, "potential": -0.9701425001453319, "ex": -0.22826882356360753, "ez": -0.9130752942544301 } ], "normalField": -1.8261505885088603, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.8261505885088598, "normalResidual": -4.440892098500626e-16, "density": -0.14532044649567943, "expectedDensity": -0.14532044649567938, "capCharge": -0.029857499854668103 }, { "coordinate": 0.375, "angle": null, "x": 0.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.6417826675183251, "terms": [ { "role": "real", "distance": 1.0680004681646913, "potential": 0.9363291775690445, "ex": 0.30783425015968596, "ez": -0.8208913337591626 }, { "role": "image", "distance": 1.0680004681646913, "potential": -0.9363291775690445, "ex": -0.30783425015968596, "ez": -0.8208913337591626 } ], "normalField": -1.6417826675183251, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.6417826675183251, "normalResidual": 0, "density": -0.1306489135090696, "expectedDensity": -0.1306489135090696, "capCharge": -0.06367082243095548 }, { "coordinate": 0.5, "angle": null, "x": 0.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.4310835055998652, "terms": [ { "role": "real", "distance": 1.118033988749895, "potential": 0.8944271909999159, "ex": 0.3577708763999663, "ez": -0.7155417527999326 }, { "role": "image", "distance": 1.118033988749895, "potential": -0.8944271909999159, "ex": -0.3577708763999663, "ez": -0.7155417527999326 } ], "normalField": -1.4310835055998652, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.4310835055998652, "normalResidual": 0, "density": -0.11388200694674831, "expectedDensity": -0.11388200694674831, "capCharge": -0.10557280900008412 }, { "coordinate": 0.625, "angle": null, "x": 0.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.2195930664342842, "terms": [ { "role": "real", "distance": 1.1792476415070754, "potential": 0.847998304005088, "ex": 0.3811228332607138, "ez": -0.6097965332171421 }, { "role": "image", "distance": 1.1792476415070754, "potential": -0.847998304005088, "ex": -0.3811228332607138, "ez": -0.6097965332171421 } ], "normalField": -1.2195930664342842, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.2195930664342842, "normalResidual": 0, "density": -0.09705213254180932, "expectedDensity": -0.09705213254180932, "capCharge": -0.15200169599491206 }, { "coordinate": 0.75, "angle": null, "x": 0.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -1.024, "terms": [ { "role": "real", "distance": 1.25, "potential": 0.8, "ex": 0.384, "ez": -0.512 }, { "role": "image", "distance": 1.25, "potential": -0.8, "ex": -0.384, "ez": -0.512 } ], "normalField": -1.024, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.024, "normalResidual": 0, "density": -0.08148733086305042, "expectedDensity": -0.08148733086305042, "capCharge": -0.2 }, { "coordinate": 0.875, "angle": null, "x": 0.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.8524762559511535, "terms": [ { "role": "real", "distance": 1.3287682265918312, "potential": 0.7525766947068778, "ex": 0.3729583619786297, "ez": -0.42623812797557675 }, { "role": "image", "distance": 1.3287682265918312, "potential": -0.7525766947068778, "ex": -0.3729583619786297, "ez": -0.42623812797557675 } ], "normalField": -0.8524762559511535, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.8524762559511535, "normalResidual": 0, "density": -0.06783790500154892, "expectedDensity": -0.06783790500154892, "capCharge": -0.24742330529312215 }, { "coordinate": 1, "angle": null, "x": 1, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.7071067811865474, "terms": [ { "role": "real", "distance": 1.4142135623730951, "potential": 0.7071067811865475, "ex": 0.3535533905932737, "ez": -0.3535533905932737 }, { "role": "image", "distance": 1.4142135623730951, "potential": -0.7071067811865475, "ex": -0.3535533905932737, "ez": -0.3535533905932737 } ], "normalField": -0.7071067811865474, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.7071067811865474, "normalResidual": 0, "density": -0.056269769759819115, "expectedDensity": -0.056269769759819115, "capCharge": -0.2928932188134525 }, { "coordinate": 1.125, "angle": null, "x": 1.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.5864729060015843, "terms": [ { "role": "real", "distance": 1.505199322349037, "potential": 0.6643638388299198, "ex": 0.3298910096258912, "ez": -0.29323645300079215 }, { "role": "image", "distance": 1.505199322349037, "potential": -0.6643638388299198, "ex": -0.3298910096258912, "ez": -0.29323645300079215 } ], "normalField": -0.5864729060015843, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.5864729060015843, "normalResidual": 0, "density": -0.04667003098981032, "expectedDensity": -0.04667003098981032, "capCharge": -0.33563616117008027 }, { "coordinate": 1.25, "angle": null, "x": 1.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.4875668663839409, "terms": [ { "role": "real", "distance": 1.6007810593582121, "potential": 0.6246950475544243, "ex": 0.3047292914899631, "ez": -0.24378343319197046 }, { "role": "image", "distance": 1.6007810593582121, "potential": -0.6246950475544243, "ex": -0.3047292914899631, "ez": -0.24378343319197046 } ], "normalField": -0.4875668663839409, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.4875668663839409, "normalResidual": 0, "density": -0.03879933843641493, "expectedDensity": -0.03879933843641493, "capCharge": -0.37530495244557577 }, { "coordinate": 1.375, "angle": null, "x": 1.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.40695122866165345, "terms": [ { "role": "real", "distance": 1.7001838135919305, "potential": 0.5881716976750462, "ex": 0.27977896970488675, "ez": -0.20347561433082673 }, { "role": "image", "distance": 1.7001838135919305, "potential": -0.5881716976750462, "ex": -0.27977896970488675, "ez": -0.20347561433082673 } ], "normalField": -0.40695122866165345, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.40695122866165356, "normalResidual": 1.1102230246251565e-16, "density": -0.03238414981941117, "expectedDensity": -0.03238414981941118, "capCharge": -0.41182830232495377 }, { "coordinate": 1.5, "angle": null, "x": 1.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.34135396690783326, "terms": [ { "role": "real", "distance": 1.8027756377319948, "potential": 0.554700196225229, "ex": 0.2560154751808749, "ez": -0.17067698345391663 }, { "role": "image", "distance": 1.8027756377319948, "potential": -0.554700196225229, "ex": -0.2560154751808749, "ez": -0.17067698345391663 } ], "normalField": -0.34135396690783326, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.34135396690783326, "normalResidual": 0, "density": -0.027164085588704465, "expectedDensity": -0.027164085588704465, "capCharge": -0.4452998037747708 }, { "coordinate": 1.625, "angle": null, "x": 1.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.2879161823392053, "terms": [ { "role": "real", "distance": 1.9080421903092186, "potential": 0.5240974256643347, "ex": 0.23393189815060428, "ez": -0.14395809116960265 }, { "role": "image", "distance": 1.9080421903092186, "potential": -0.5240974256643347, "ex": -0.23393189815060428, "ez": -0.14395809116960265 } ], "normalField": -0.2879161823392053, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.2879161823392053, "normalResidual": 0, "density": -0.02291164180771599, "expectedDensity": -0.02291164180771599, "capCharge": -0.47590257433566524 }, { "coordinate": 1.75, "angle": null, "x": 1.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.24425301580644135, "terms": [ { "role": "real", "distance": 2.0155644370746373, "potential": 0.49613893835683387, "ex": 0.21372138883063618, "ez": -0.12212650790322067 }, { "role": "image", "distance": 2.0155644370746373, "potential": -0.49613893835683387, "ex": -0.21372138883063618, "ez": -0.12212650790322067 } ], "normalField": -0.24425301580644135, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.2442530158064413, "normalResidual": -5.551115123125783e-17, "density": -0.019437037415348992, "expectedDensity": -0.01943703741534899, "capCharge": -0.5038610616431662 }, { "coordinate": 1.875, "angle": null, "x": 1.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.2084266232444535, "terms": [ { "role": "real", "distance": 2.125, "potential": 0.47058823529411764, "ex": 0.19539995929167514, "ez": -0.10421331162222675 }, { "role": "image", "distance": 2.125, "potential": -0.47058823529411764, "ex": -0.19539995929167514, "ez": -0.10421331162222675 } ], "normalField": -0.2084266232444535, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.2084266232444535, "normalResidual": 0, "density": -0.016586063680653452, "expectedDensity": -0.016586063680653452, "capCharge": -0.5294117647058824 }, { "coordinate": 2, "angle": null, "x": 2, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.17888543819998315, "terms": [ { "role": "real", "distance": 2.23606797749979, "potential": 0.4472135954999579, "ex": 0.17888543819998315, "ez": -0.08944271909999157 }, { "role": "image", "distance": 2.23606797749979, "potential": -0.4472135954999579, "ex": -0.17888543819998315, "ez": -0.08944271909999157 } ], "normalField": -0.17888543819998315, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.17888543819998315, "normalResidual": 0, "density": -0.014235250868343539, "expectedDensity": -0.014235250868343539, "capCharge": -0.552786404500042 }, { "coordinate": 2.125, "angle": null, "x": 2.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.15439665906579203, "terms": [ { "role": "real", "distance": 2.348536778506992, "potential": 0.4257970363298796, "ex": 0.16404645025740403, "ez": -0.07719832953289602 }, { "role": "image", "distance": 2.348536778506992, "potential": -0.4257970363298796, "ex": -0.16404645025740403, "ez": -0.07719832953289602 } ], "normalField": -0.15439665906579203, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.15439665906579203, "normalResidual": 0, "density": -0.012286495743597449, "expectedDensity": -0.012286495743597449, "capCharge": -0.5742029636701205 }, { "coordinate": 2.25, "angle": null, "x": 2.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.1339838238526838, "terms": [ { "role": "real", "distance": 2.462214450449026, "potential": 0.40613846605344767, "ex": 0.15073180183426926, "ez": -0.0669919119263419 }, { "role": "image", "distance": 2.462214450449026, "potential": -0.40613846605344767, "ex": -0.15073180183426926, "ez": -0.0669919119263419 } ], "normalField": -0.1339838238526838, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1339838238526838, "normalResidual": 0, "density": -0.01066209393025421, "expectedDensity": -0.01066209393025421, "capCharge": -0.5938615339465525 }, { "coordinate": 2.375, "angle": null, "x": 2.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.1168736376645671, "terms": [ { "role": "real", "distance": 2.5769410160110375, "potential": 0.3880570000581328, "ex": 0.13878744472667343, "ez": -0.05843681883228355 }, { "role": "image", "distance": 2.5769410160110375, "potential": -0.3880570000581328, "ex": -0.13878744472667343, "ez": -0.05843681883228355 } ], "normalField": -0.1168736376645671, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.11687363766456707, "normalResidual": -2.7755575615628914e-17, "density": -0.009300508575723487, "expectedDensity": -0.009300508575723484, "capCharge": -0.6119429999418674 }, { "coordinate": 2.5, "angle": null, "x": 2.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.10245260037354582, "terms": [ { "role": "real", "distance": 2.6925824035672523, "potential": 0.37139067635410367, "ex": 0.12806575046693228, "ez": -0.05122630018677291 }, { "role": "image", "distance": 2.6925824035672523, "potential": -0.37139067635410367, "ex": -0.12806575046693228, "ez": -0.05122630018677291 } ], "normalField": -0.10245260037354582, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.10245260037354582, "normalResidual": 0, "density": -0.008152918891034191, "expectedDensity": -0.008152918891034191, "capCharge": -0.6286093236458962 }, { "coordinate": 2.625, "angle": null, "x": 2.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.09023247907282073, "terms": [ { "role": "real", "distance": 2.8090256317805284, "potential": 0.3559953275919879, "ex": 0.11843012878307721, "ez": -0.04511623953641036 }, { "role": "image", "distance": 2.8090256317805284, "potential": -0.3559953275919879, "ex": -0.11843012878307721, "ez": -0.04511623953641036 } ], "normalField": -0.09023247907282073, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.09023247907282073, "normalResidual": 0, "density": -0.00718047253593771, "expectedDensity": -0.00718047253593771, "capCharge": -0.6440046724080124 }, { "coordinate": 2.75, "angle": null, "x": 2.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.0798231972173324, "terms": [ { "role": "real", "distance": 2.9261749776799064, "potential": 0.3417430630867044, "ex": 0.10975689617383205, "ez": -0.0399115986086662 }, { "role": "image", "distance": 2.9261749776799064, "potential": -0.3417430630867044, "ex": -0.10975689617383205, "ez": -0.0399115986086662 } ], "normalField": -0.0798231972173324, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.0798231972173324, "normalResidual": 0, "density": -0.006352128205268839, "expectedDensity": -0.006352128205268839, "capCharge": -0.6582569369132956 }, { "coordinate": 2.875, "angle": null, "x": 2.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.07091170319137081, "terms": [ { "role": "real", "distance": 3.0439489154714803, "potential": 0.3285206249412727, "ex": 0.10193557333759555, "ez": -0.03545585159568541 }, { "role": "image", "distance": 3.0439489154714803, "potential": -0.3285206249412727, "ex": -0.10193557333759555, "ez": -0.03545585159568541 } ], "normalField": -0.07091170319137081, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.07091170319137083, "normalResidual": 1.3877787807814457e-17, "density": -0.005642974042985998, "expectedDensity": -0.005642974042985999, "capCharge": -0.6714793750587271 }, { "coordinate": 3, "angle": null, "x": 3, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.06324555320336757, "terms": [ { "role": "real", "distance": 3.1622776601683795, "potential": 0.31622776601683794, "ex": 0.09486832980505136, "ez": -0.031622776601683784 }, { "role": "image", "distance": 3.1622776601683795, "potential": -0.31622776601683794, "ex": -0.09486832980505136, "ez": -0.031622776601683784 } ], "normalField": -0.06324555320336757, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.06324555320336757, "normalResidual": 0, "density": -0.005032921210448702, "expectedDensity": -0.005032921210448702, "capCharge": -0.6837722339831619 }, { "coordinate": 3.125, "angle": null, "x": 3.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.056620164106363294, "terms": [ { "role": "real", "distance": 3.281101187101672, "potential": 0.3047757271037837, "ex": 0.08846900641619265, "ez": -0.028310082053181647 }, { "role": "image", "distance": 3.281101187101672, "potential": -0.3047757271037837, "ex": -0.08846900641619265, "ez": -0.028310082053181647 } ], "normalField": -0.056620164106363294, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.056620164106363294, "normalResidual": 0, "density": -0.004505689498101013, "expectedDensity": -0.004505689498101013, "capCharge": -0.6952242728962161 }, { "coordinate": 3.25, "angle": null, "x": 3.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.05086890358270668, "terms": [ { "role": "real", "distance": 3.400367627183861, "potential": 0.2940858488375231, "ex": 0.08266196832189836, "ez": -0.02543445179135334 }, { "role": "image", "distance": 3.400367627183861, "potential": -0.2940858488375231, "ex": -0.08266196832189836, "ez": -0.02543445179135334 } ], "normalField": -0.05086890358270668, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.050868903582706695, "normalResidual": 1.3877787807814457e-17, "density": -0.0040480187274263965, "expectedDensity": -0.004048018727426397, "capCharge": -0.7059141511624768 }, { "coordinate": 3.375, "angle": null, "x": 3.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.04585536721374006, "terms": [ { "role": "real", "distance": 3.5200319600821808, "potential": 0.284088329691374, "ex": 0.07738093217318635, "ez": -0.02292768360687003 }, { "role": "image", "distance": 3.5200319600821808, "potential": -0.284088329691374, "ex": -0.07738093217318635, "ez": -0.02292768360687003 } ], "normalField": -0.04585536721374006, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.04585536721374006, "normalResidual": 0, "density": -0.0036490541796803814, "expectedDensity": -0.0036490541796803814, "capCharge": -0.7159116703086261 }, { "coordinate": 3.5, "angle": null, "x": 3.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.04146734005998158, "terms": [ { "role": "real", "distance": 3.6400549446402595, "potential": 0.274721127897378, "ex": 0.07256784510496776, "ez": -0.02073367002999079 }, { "role": "image", "distance": 3.6400549446402595, "potential": -0.274721127897378, "ex": -0.07256784510496776, "ez": -0.02073367002999079 } ], "normalField": -0.04146734005998158, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.04146734005998158, "normalResidual": 0, "density": -0.00329986607370932, "expectedDensity": -0.00329986607370932, "capCharge": -0.7252788721026219 }, { "coordinate": 3.625, "angle": null, "x": 3.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.03761205719348522, "terms": [ { "role": "real", "distance": 3.760402239122831, "potential": 0.26592899812581344, "ex": 0.06817185366319195, "ez": -0.01880602859674261 }, { "role": "image", "distance": 3.760402239122831, "potential": -0.26592899812581344, "ex": -0.06817185366319195, "ez": -0.01880602859674261 } ], "normalField": -0.03761205719348522, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.03761205719348522, "normalResidual": 0, "density": -0.0029930724110991264, "expectedDensity": -0.0029930724110991264, "capCharge": -0.7340710018741865 }, { "coordinate": 3.75, "angle": null, "x": 3.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.034212468124193506, "terms": [ { "role": "real", "distance": 3.881043674065006, "potential": 0.25766265056033233, "ex": 0.06414837773286282, "ez": -0.017106234062096753 }, { "role": "image", "distance": 3.881043674065006, "potential": -0.25766265056033233, "ex": -0.06414837773286282, "ez": -0.017106234062096753 } ], "normalField": -0.034212468124193506, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.034212468124193506, "normalResidual": 0, "density": -0.0027225417086696505, "expectedDensity": -0.0027225417086696505, "capCharge": -0.7423373494396676 }, { "coordinate": 3.875, "angle": null, "x": 3.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.031204279448572216, "terms": [ { "role": "real", "distance": 4.00195264839553, "potential": 0.2498780190217697, "ex": 0.06045829143160867, "ez": -0.015602139724286108 }, { "role": "image", "distance": 4.00195264839553, "potential": -0.2498780190217697, "ex": -0.06045829143160867, "ez": -0.015602139724286108 } ], "normalField": -0.031204279448572216, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.031204279448572216, "normalResidual": 0, "density": -0.0024831576599305552, "expectedDensity": -0.0024831576599305552, "capCharge": -0.7501219809782304 }, { "coordinate": 4, "angle": null, "x": 4, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.02853360294545094, "terms": [ { "role": "real", "distance": 4.123105625617661, "potential": 0.24253562503633297, "ex": 0.05706720589090188, "ez": -0.01426680147272547 }, { "role": "image", "distance": 4.123105625617661, "potential": -0.24253562503633297, "ex": -0.05706720589090188, "ez": -0.01426680147272547 } ], "normalField": -0.02853360294545094, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.028533602945450934, "normalResidual": -6.938893903907228e-18, "density": -0.002270631976494991, "expectedDensity": -0.0022706319764949903, "capCharge": -0.757464374963667 }, { "coordinate": 4.125, "angle": null, "x": 4.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.026155076565093256, "terms": [ { "role": "real", "distance": 4.244481711587412, "potential": 0.23560002562150417, "ex": 0.053944845415504844, "ez": -0.013077538282546628 }, { "role": "image", "distance": 4.244481711587412, "potential": -0.23560002562150417, "ex": -0.053944845415504844, "ez": -0.013077538282546628 } ], "normalField": -0.026155076565093256, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.026155076565093256, "normalResidual": 0, "density": -0.002081354861140791, "expectedDensity": -0.002081354861140791, "capCharge": -0.7643999743784957 }, { "coordinate": 4.25, "angle": null, "x": 4.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.02403035632530333, "terms": [ { "role": "real", "distance": 4.366062299143245, "potential": 0.2290393337255473, "ex": 0.05106450719126957, "ez": -0.012015178162651664 }, { "role": "image", "distance": 4.366062299143245, "potential": -0.2290393337255473, "ex": -0.05106450719126957, "ez": -0.012015178162651664 } ], "normalField": -0.02403035632530333, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.02403035632530333, "normalResidual": 0, "density": -0.0019122749967158093, "expectedDensity": -0.0019122749967158093, "capCharge": -0.7709606662744528 }, { "coordinate": 4.375, "angle": null, "x": 4.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.022126900381903843, "terms": [ { "role": "real", "distance": 4.487830767754061, "potential": 0.22282480150214107, "ex": 0.048402594585414654, "ez": -0.011063450190951922 }, { "role": "image", "distance": 4.487830767754061, "potential": -0.22282480150214107, "ex": -0.048402594585414654, "ez": -0.011063450190951922 } ], "normalField": -0.022126900381903843, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.022126900381903843, "normalResidual": 0, "density": -0.0017608027855409718, "expectedDensity": -0.0017608027855409718, "capCharge": -0.7771751984978588 }, { "coordinate": 4.5, "angle": null, "x": 4.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.020416984265285276, "terms": [ { "role": "real", "distance": 4.609772228646444, "potential": 0.21693045781865614, "ex": 0.045938214596891874, "ez": -0.010208492132642638 }, { "role": "image", "distance": 4.609772228646444, "potential": -0.21693045781865614, "ex": -0.045938214596891874, "ez": -0.010208492132642638 } ], "normalField": -0.020416984265285276, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.020416984265285276, "normalResidual": 0, "density": -0.0016247319844248003, "expectedDensity": -0.0016247319844248003, "capCharge": -0.7830695421813436 }, { "coordinate": 4.625, "angle": null, "x": 4.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.018876899821022322, "terms": [ { "role": "real", "distance": 4.731873307686924, "potential": 0.2113327925275389, "ex": 0.04365283083611412, "ez": -0.009438449910511161 }, { "role": "image", "distance": 4.731873307686924, "potential": -0.2113327925275389, "ex": -0.04365283083611412, "ez": -0.009438449910511161 } ], "normalField": -0.018876899821022322, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.018876899821022326, "normalResidual": 3.469446951953614e-18, "density": -0.0015021759583831085, "expectedDensity": -0.001502175958383109, "capCharge": -0.7886672074724613 }, { "coordinate": 4.75, "angle": null, "x": 4.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.017486300778766423, "terms": [ { "role": "real", "distance": 4.8541219597369, "potential": 0.2060104810498419, "ex": 0.04152996434957025, "ez": -0.008743150389383211 }, { "role": "image", "distance": 4.8541219597369, "potential": -0.2060104810498419, "ex": -0.04152996434957025, "ez": -0.008743150389383211 } ], "normalField": -0.017486300778766423, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.01748630077876642, "normalResidual": -3.469446951953614e-18, "density": -0.0013915156026661677, "expectedDensity": -0.0013915156026661673, "capCharge": -0.7939895189501581 }, { "coordinate": 4.875, "angle": null, "x": 4.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.01622766586519268, "terms": [ { "role": "real", "distance": 4.976507309348596, "potential": 0.2009441437213313, "ex": 0.039554935546407155, "ez": -0.00811383293259634 }, { "role": "image", "distance": 4.976507309348596, "potential": -0.2009441437213313, "ex": -0.039554935546407155, "ez": -0.00811383293259634 } ], "normalField": -0.01622766586519268, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.01622766586519268, "normalResidual": 0, "density": -0.0012913566186445167, "expectedDensity": -0.0012913566186445167, "capCharge": -0.7990558562786685 }, { "coordinate": 5, "angle": null, "x": 5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.015085856549091073, "terms": [ { "role": "real", "distance": 5.099019513592785, "potential": 0.19611613513818402, "ex": 0.03771464137272768, "ez": -0.0075429282745455364 }, { "role": "image", "distance": 5.099019513592785, "potential": -0.19611613513818402, "ex": -0.03771464137272768, "ez": -0.0075429282745455364 } ], "normalField": -0.015085856549091073, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.015085856549091073, "normalResidual": 0, "density": -0.0012004943202815431, "expectedDensity": -0.0012004943202815431, "capCharge": -0.8038838648618158 }, { "coordinate": 5.125, "angle": null, "x": 5.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.014047751292673372, "terms": [ { "role": "real", "distance": 5.221649643551355, "potential": 0.1915103594196486, "ex": 0.03599736268747551, "ez": -0.007023875646336686 }, { "role": "image", "distance": 5.221649643551355, "potential": -0.1915103594196486, "ex": -0.03599736268747551, "ez": -0.007023875646336686 } ], "normalField": -0.014047751292673372, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.014047751292673372, "normalResidual": 0, "density": -0.001117884528777265, "expectedDensity": -0.001117884528777265, "capCharge": -0.8084896405803517 }, { "coordinate": 5.25, "angle": null, "x": 5.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.013101941909146266, "terms": [ { "role": "real", "distance": 5.344389581607988, "potential": 0.18711210788999516, "ex": 0.03439259751150895, "ez": -0.006550970954573133 }, { "role": "image", "distance": 5.344389581607988, "potential": -0.18711210788999516, "ex": -0.03439259751150895, "ez": -0.006550970954573133 } ], "normalField": -0.013101941909146266, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.013101941909146266, "normalResidual": 0, "density": -0.0010426194094717463, "expectedDensity": -0.0010426194094717463, "capCharge": -0.8128878921100047 }, { "coordinate": 5.375, "angle": null, "x": 5.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.012238480539165202, "terms": [ { "role": "real", "distance": 5.46723193215726, "potential": 0.18290791618299246, "ex": 0.03289091644900648, "ez": -0.006119240269582601 }, { "role": "image", "distance": 5.46723193215726, "potential": -0.18290791618299246, "ex": -0.03289091644900648, "ez": -0.006119240269582601 } ], "normalField": -0.012238480539165202, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.012238480539165202, "normalResidual": 0, "density": -0.0009739073368710532, "expectedDensity": -0.0009739073368710532, "capCharge": -0.8170920838170075 }, { "coordinate": 5.5, "angle": null, "x": 5.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.011448668044798927, "terms": [ { "role": "real", "distance": 5.590169943749474, "potential": 0.1788854381999832, "ex": 0.03148383712319705, "ez": -0.0057243340223994636 }, { "role": "image", "distance": 5.590169943749474, "potential": -0.1788854381999832, "ex": -0.03148383712319705, "ez": -0.0057243340223994636 } ], "normalField": -0.011448668044798927, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.011448668044798927, "normalResidual": 0, "density": -0.000911056055573987, "expectedDensity": -0.000911056055573987, "capCharge": -0.821114561800017 }, { "coordinate": 5.625, "angle": null, "x": 5.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.01072487642117726, "terms": [ { "role": "real", "distance": 5.71319744101322, "potential": 0.17503333471749452, "ex": 0.030163714934561044, "ez": -0.00536243821058863 }, { "role": "image", "distance": 5.71319744101322, "potential": -0.17503333471749452, "ex": -0.030163714934561044, "ez": -0.00536243821058863 } ], "normalField": -0.01072487642117726, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.01072487642117726, "normalResidual": 0, "density": -0.0008534585482400384, "expectedDensity": -0.0008534585482400384, "capCharge": -0.8249666652825054 }, { "coordinate": 5.75, "angle": null, "x": 5.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.010060399251449408, "terms": [ { "role": "real", "distance": 5.836308764964376, "potential": 0.17134117475124774, "ex": 0.02892364784791705, "ez": -0.005030199625724704 }, { "role": "image", "distance": 5.836308764964376, "potential": -0.17134117475124774, "ex": -0.02892364784791705, "ez": -0.005030199625724704 } ], "normalField": -0.010060399251449408, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.010060399251449408, "normalResidual": 0, "density": -0.0008005811351730885, "expectedDensity": -0.0008005811351730885, "capCharge": -0.8286588252487522 }, { "coordinate": 5.875, "angle": null, "x": 5.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.009449325363040186, "terms": [ { "role": "real", "distance": 5.959498720530108, "potential": 0.16779934804836205, "ex": 0.027757393253930545, "ez": -0.004724662681520093 }, { "role": "image", "distance": 5.959498720530108, "potential": -0.16779934804836205, "ex": -0.027757393253930545, "ez": -0.004724662681520093 } ], "normalField": -0.009449325363040186, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.009449325363040186, "normalResidual": 0, "density": -0.0007519534202057321, "expectedDensity": -0.0007519534202057321, "capCharge": -0.832200651951638 }, { "coordinate": 6, "angle": null, "x": 6, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.008886431746235534, "terms": [ { "role": "real", "distance": 6.0827625302982185, "potential": 0.16439898730535732, "ex": 0.026659295238706603, "ez": -0.004443215873117767 }, { "role": "image", "distance": 6.0827625302982185, "potential": -0.16439898730535732, "ex": -0.026659295238706603, "ez": -0.004443215873117767 } ], "normalField": -0.008886431746235534, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.008886431746235534, "normalResidual": 0, "density": -0.0007071597694310643, "expectedDensity": -0.0007071597694310643, "capCharge": -0.835601012694643 }, { "coordinate": 6.125, "angle": null, "x": 6.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.00836709251905699, "terms": [ { "role": "real", "distance": 6.206095793653205, "potential": 0.16113189890215215, "ex": 0.02562422083961203, "ez": -0.004183546259528495 }, { "role": "image", "distance": 6.206095793653205, "potential": -0.16113189890215215, "ex": -0.02562422083961203, "ez": -0.004183546259528495 } ], "normalField": -0.00836709251905699, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.008367092519056988, "normalResidual": -1.734723475976807e-18, "density": -0.0006658320668575692, "expectedDensity": -0.0006658320668575691, "capCharge": -0.8388681010978478 }, { "coordinate": 6.25, "angle": null, "x": 6.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.00788720130329724, "terms": [ { "role": "real", "distance": 6.329494450586082, "potential": 0.15799050110667284, "ex": 0.024647504072803875, "ez": -0.00394360065164862 }, { "role": "image", "distance": 6.329494450586082, "potential": -0.15799050110667284, "ex": -0.024647504072803875, "ez": -0.00394360065164862 } ], "normalField": -0.00788720130329724, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.00788720130329724, "normalResidual": 0, "density": -0.0006276435372902974, "expectedDensity": -0.0006276435372902974, "capCharge": -0.842009498893327 }, { "coordinate": 6.375, "angle": null, "x": 6.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.007443104845098358, "terms": [ { "role": "real", "distance": 6.452954749570154, "potential": 0.15496776884521193, "ex": 0.023724896693751017, "ez": -0.003721552422549179 }, { "role": "image", "distance": 6.452954749570154, "potential": -0.15496776884521193, "ex": -0.023724896693751017, "ez": -0.003721552422549179 } ], "normalField": -0.007443104845098358, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.007443104845098358, "normalResidual": 0, "density": -0.0005923034640243198, "expectedDensity": -0.0005923034640243198, "capCharge": -0.8450322311547881 }, { "coordinate": 6.5, "angle": null, "x": 6.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.007031546092667799, "terms": [ { "role": "real", "distance": 6.576473218982952, "potential": 0.15205718425394113, "ex": 0.022852524801170348, "ez": -0.0035157730463338996 }, { "role": "image", "distance": 6.576473218982952, "potential": -0.15205718425394113, "ex": -0.022852524801170348, "ez": -0.0035157730463338996 } ], "normalField": -0.007031546092667799, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.007031546092667799, "normalResidual": 0, "density": -0.0005595526591132913, "expectedDensity": -0.0005595526591132913, "capCharge": -0.8479428157460591 }, { "coordinate": 6.625, "angle": null, "x": 6.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.006649615251739137, "terms": [ { "role": "real", "distance": 6.700046641628698, "potential": 0.14925269233005106, "ex": 0.02202685052138589, "ez": -0.0033248076258695683 }, { "role": "image", "distance": 6.700046641628698, "potential": -0.14925269233005106, "ex": -0.02202685052138589, "ez": -0.0033248076258695683 } ], "normalField": -0.006649615251739137, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.006649615251739137, "normalResidual": 0, "density": -0.0005291595684867709, "expectedDensity": -0.0005291595684867709, "capCharge": -0.850747307669949 }, { "coordinate": 6.75, "angle": null, "x": 6.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.006294707590419857, "terms": [ { "role": "real", "distance": 6.823672031978091, "potential": 0.14654866108946232, "ex": 0.021244638117667018, "ez": -0.0031473537952099286 }, { "role": "image", "distance": 6.823672031978091, "potential": -0.14654866108946232, "ex": -0.021244638117667018, "ez": -0.0031473537952099286 } ], "normalField": -0.006294707590419857, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.006294707590419859, "normalResidual": 1.734723475976807e-18, "density": -0.000500916914166697, "expectedDensity": -0.0005009169141666971, "capCharge": -0.8534513389105376 }, { "coordinate": 6.875, "angle": null, "x": 6.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.00596448697034839, "terms": [ { "role": "real", "distance": 6.9473466157951265, "potential": 0.14393984571411075, "ex": 0.020502923960572593, "ez": -0.002982243485174195 }, { "role": "image", "distance": 6.9473466157951265, "potential": -0.14393984571411075, "ex": -0.020502923960572593, "ez": -0.002982243485174195 } ], "normalField": -0.00596448697034839, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.00596448697034839, "normalResidual": 0, "density": -0.00047463879216907463, "expectedDensity": -0.00047463879216907463, "capCharge": -0.8560601542858892 }, { "coordinate": 7, "angle": null, "x": 7, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.005656854249492379, "terms": [ { "role": "real", "distance": 7.0710678118654755, "potential": 0.1414213562373095, "ex": 0.019798989873223326, "ez": -0.0028284271247461896 }, { "role": "image", "distance": 7.0710678118654755, "potential": -0.1414213562373095, "ex": -0.019798989873223326, "ez": -0.0028284271247461896 } ], "normalField": -0.005656854249492379, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.00565685424949238, "normalResidual": 8.673617379884035e-19, "density": -0.000450158158078553, "expectedDensity": -0.00045015815807855305, "capCharge": -0.8585786437626903 }, { "coordinate": 7.125, "angle": null, "x": 7.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.005369919840519211, "terms": [ { "role": "real", "distance": 7.19483321557908, "potential": 0.13898862837218867, "ex": 0.01913033943184969, "ez": -0.0026849599202596057 }, { "role": "image", "distance": 7.19483321557908, "potential": -0.13898862837218867, "ex": -0.01913033943184969, "ez": -0.0026849599202596057 } ], "normalField": -0.005369919840519211, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.005369919840519212, "normalResidual": 8.673617379884035e-19, "density": -0.0004273246433129374, "expectedDensity": -0.00042732464331293746, "capCharge": -0.8610113716278112 }, { "coordinate": 7.25, "angle": null, "x": 7.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.00510197982308634, "terms": [ { "role": "real", "distance": 7.318640584152223, "potential": 0.13663739713703102, "ex": 0.018494676858687983, "ez": -0.00255098991154317 }, { "role": "image", "distance": 7.318640584152223, "potential": -0.13663739713703102, "ex": -0.018494676858687983, "ez": -0.00255098991154317 } ], "normalField": -0.00510197982308634, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.00510197982308634, "normalResidual": 0, "density": -0.00040600265419965233, "expectedDensity": -0.00040600265419965233, "capCharge": -0.8633626028629691 }, { "coordinate": 7.375, "angle": null, "x": 7.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.004851495103136247, "terms": [ { "role": "real", "distance": 7.4424878233020975, "potential": 0.13436367297357807, "ex": 0.01788988819281491, "ez": -0.0024257475515681234 }, { "role": "image", "distance": 7.4424878233020975, "potential": -0.13436367297357807, "ex": -0.01788988819281491, "ez": -0.0024257475515681234 } ], "normalField": -0.004851495103136247, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.004851495103136247, "normalResidual": 0, "density": -0.0003860697135251291, "expectedDensity": -0.0003860697135251291, "capCharge": -0.865636327026422 }, { "coordinate": 7.5, "angle": null, "x": 7.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.004617073190952593, "terms": [ { "role": "real", "distance": 7.566372975210777, "potential": 0.13216372009101796, "ex": 0.017314024466072223, "ez": -0.0023085365954762967 }, { "role": "image", "distance": 7.566372975210777, "potential": -0.13216372009101796, "ex": -0.017314024466072223, "ez": -0.0023085365954762967 } ], "normalField": -0.004617073190952593, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.004617073190952593, "normalResidual": 0, "density": -0.00036741501047858784, "expectedDensity": -0.00036741501047858784, "capCharge": -0.8678362799089822 }, { "coordinate": 7.625, "angle": null, "x": 7.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.0043974522352506805, "terms": [ { "role": "real", "distance": 7.690294207636013, "potential": 0.1300340368001862, "ex": 0.01676528664689322, "ez": -0.0021987261176253403 }, { "role": "image", "distance": 7.690294207636013, "potential": -0.1300340368001862, "ex": -0.01676528664689322, "ez": -0.0021987261176253403 } ], "normalField": -0.0043974522352506805, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.004397452235250681, "normalResidual": 8.673617379884035e-19, "density": -0.000349938130125325, "expectedDensity": -0.00034993813012532506, "capCharge": -0.8699659631998136 }, { "coordinate": 7.75, "angle": null, "x": 7.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.00419148700528792, "terms": [ { "role": "real", "distance": 7.814249804043891, "potential": 0.1279713376301968, "ex": 0.016242012145490693, "ez": -0.00209574350264396 }, { "role": "image", "distance": 7.814249804043891, "potential": -0.1279713376301968, "ex": -0.016242012145490693, "ez": -0.00209574350264396 } ], "normalField": -0.00419148700528792, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.00419148700528792, "normalResidual": 0, "density": -0.00033354793789850887, "expectedDensity": -0.00033354793789850887, "capCharge": -0.8720286623698034 }, { "coordinate": 7.875, "angle": null, "x": 7.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.003998136558793084, "terms": [ { "role": "real", "distance": 7.938238154653713, "potential": 0.1259725370438477, "ex": 0.015742662700247767, "ez": -0.001999068279396542 }, { "role": "image", "distance": 7.938238154653713, "potential": -0.1259725370438477, "ex": -0.015742662700247767, "ez": -0.001999068279396542 } ], "normalField": -0.003998136558793084, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.003998136558793084, "normalResidual": 0, "density": -0.00031816159824416977, "expectedDensity": -0.00031816159824416977, "capCharge": -0.8740274629561524 }, { "coordinate": 8, "angle": null, "x": 8, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -0.003816453371975646, "terms": [ { "role": "real", "distance": 8.06225774829855, "potential": 0.12403473458920847, "ex": 0.015265813487902584, "ez": -0.001908226685987823 }, { "role": "image", "distance": 8.06225774829855, "potential": -0.12403473458920847, "ex": -0.015265813487902584, "ez": -0.001908226685987823 } ], "normalField": -0.003816453371975646, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.003816453371975645, "normalResidual": -8.673617379884035e-19, "density": -0.000303703709614828, "expectedDensity": -0.00030370370961482795, "capCharge": -0.8759652654107917 } ], "quadrature": [ { "index": 0, "value": -0.007722123286332003, "estimatedError": 1.290878606445845e-12, "evaluations": 41, "converged": true, "leaves": [ { "a": 0, "b": 0.015625, "fa": 0, "fm": -0.007811784798828492, "fb": -0.01561927969983415, "fl": -0.0039061605947381087, "fr": -0.011716336426208738, "whole": -0.00012204796587278155, "left": -0.000030516181221068913, "right": -0.0000915317841191375, "delta": 5.325751368774959e-13, "corrected": -0.00012204796530470141, "estimatedError": 3.550500912516639e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.015625, "b": 0.03125, "fa": -0.01561927969983415, "fm": -0.02341820134703257, "fb": -0.031204279448572216, "fl": -0.019520079455804463, "fr": -0.027313112046303458, "whole": -0.0003658759493138975, "left": -0.00015249713394542262, "right": -0.00021337881377710754, "delta": 1.591367337384908e-12, "corrected": -0.00036587594761643903, "estimatedError": 1.0609115582566053e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.03125, "b": 0.046875, "fa": -0.031204279448572216, "fm": -0.03897326326003716, "fb": -0.04672092800950276, "fl": -0.03509117287235119, "fr": -0.04285002337703084, "whole": -0.0006089017200474573, "left": -0.00027414353411199754, "right": -0.00033475818330424905, "delta": 2.631210679025775e-12, "corrected": -0.0006089017172408326, "estimatedError": 1.75414045268385e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.046875, "b": 0.0625, "fa": -0.04672092800950276, "fm": -0.05444308124537591, "fb": -0.06213556908842884, "fl": -0.050585454160660695, "fr": -0.05829329128302792, "whole": -0.0008505958908318626, "left": -0.00039518987747073106, "right": -0.0004554060097212453, "delta": 3.639886243973767e-12, "corrected": -0.0008505958869493173, "estimatedError": 2.4265908293158445e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.0625, "b": 0.078125, "fa": -0.06213556908842884, "fm": -0.06979428236990609, "fb": -0.07741516263813585, "fl": -0.0659694024606913, "fr": -0.0736097031414986, "whole": -0.001090437138557784, "left": -0.0005153742985691407, "right": -0.0005750628353828599, "delta": 4.605783419583953e-12, "corrected": -0.0010904371336449485, "estimatedError": 3.070522279722635e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.078125, "b": 0.09375, "fa": -0.07741516263813585, "fm": -0.08499420801671595, "fb": -0.09252747889805582, "fl": -0.08121016243905854, "fr": -0.08876680891058467, "whole": -0.0013279152958412903, "left": -0.0006344401307436016, "right": -0.0006934751595795708, "delta": 5.518117863687055e-12, "corrected": -0.0013279152899552979, "estimatedError": 3.678745242458037e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.09375, "b": 0.1015625, "fa": -0.09252747889805582, "fm": -0.0962757361622775, "fb": -0.10001110345684502, "fl": -0.09440318905750089, "fr": -0.0981450607006983, "whole": -0.0007521374049531391, "left": -0.0003687603979754797, "right": -0.0003833770067851014, "delta": 1.9255799212081204e-13, "corrected": -0.0007521374047477439, "estimatedError": 1.2837199474720802e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1015625, "b": 0.109375, "fa": -0.10001110345684502, "fm": -0.10373310826723298, "fb": -0.10744128296886861, "fl": -0.1018738055155345, "fr": -0.105588953412915, "whole": -0.0008103969003836531, "left": -0.0003979423397045677, "right": -0.00041245456047380303, "delta": 2.0528229723731917e-13, "corrected": -0.0008103969001646853, "estimatedError": 1.3685486482487944e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.109375, "b": 0.1171875, "fa": -0.10744128296886861, "fm": -0.11113516498174864, "fb": -0.11481429692150658, "fl": -0.10929003927144434, "fr": -0.11297660309027972, "whole": -0.0008682242705955334, "left": -0.0004269118522372361, "right": -0.0004413124181408686, "delta": 2.1742872259589152e-13, "corrected": -0.0008682242703636094, "estimatedError": 1.4495248173059436e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1171875, "b": 0.125, "fa": -0.11481429692150658, "fm": -0.11847822674684118, "fb": -0.12212650790322067, "fl": -0.11664819013838944, "fr": -0.1203043511001299, "whole": -0.0009255907705886615, "left": -0.000455654481915303, "right": -0.000469936288444389, "delta": 2.289694042006962e-13, "corrected": -0.0009255907703444275, "estimatedError": 1.5264626946713083e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.007722123286332003, "estimatedCumulativeError": 1.290878606445845e-12, "exactCap": -0.007722123286332351, "actualError": 3.478120569333498e-16 }, { "index": 1, "value": -0.022135376568335738, "estimatedError": 3.1150173586402817e-13, "evaluations": 65, "converged": true, "leaves": [ { "a": 0.125, "b": 0.1328125, "fa": -0.12212650790322067, "fm": -0.12575869946278187, "fb": -0.12937436626034843, "fl": -0.12394464221705714, "fr": -0.12756862542589467, "whole": -0.0009824683229358027, "left": -0.00048415610431916086, "right": -0.0004983122183767636, "delta": 2.398782127793764e-13, "corrected": -0.0009824683226799325, "estimatedError": 1.5991880851958427e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1328125, "b": 0.140625, "fa": -0.12937436626034843, "fm": -0.13297307902549382, "fb": -0.13655441451058364, "fl": -0.1311758684925828, "fr": -0.13476594514234, "whole": -0.0010388295532199315, "left": -0.0005124029422240714, "right": -0.0005264266107457275, "delta": 2.501325969267443e-13, "corrected": -0.0010388295529531234, "estimatedError": 1.667550646178295e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.140625, "b": 0.1484375, "fa": -0.13655441451058364, "fm": -0.14011795561473123, "fb": -0.14366329150360954, "fl": -0.13833843518566857, "fr": -0.1418929246402468, "whole": -0.001094647823532706, "left": -0.0005403815825963471, "right": -0.0005542662406766459, "delta": 2.597130410036952e-13, "corrected": -0.0010946478232556787, "estimatedError": 1.731420273357968e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1484375, "b": 0.15625, "fa": -0.14366329150360954, "fm": -0.14719001772506365, "fb": -0.1506977363204731, "fl": -0.1454290058486464, "fr": -0.14894627759182683, "whole": -0.0011498972639639809, "left": -0.0005680789925932675, "right": -0.000581818271102112, "delta": 2.6860133041373135e-13, "corrected": -0.0011498972636774729, "estimatedError": 1.7906755360915423e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.15625, "b": 0.1640625, "fa": -0.1506977363204731, "fm": -0.1541860559318205, "fb": -0.1576545919044233, "fl": -0.15244434519835562, "fr": -0.1559228206493141, "whole": -0.0012045528020210657, "left": -0.0005954825345349714, "right": -0.0006090702672093101, "delta": 2.7678423789034845e-13, "corrected": -0.0012045528017258292, "estimatedError": 1.845228252602323e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1640625, "b": 0.171875, "fa": -0.1576545919044233, "fm": -0.16110296638529292, "fb": -0.16453080841708947, "fl": -0.15938132267884605, "fr": -0.16281947687031953, "whole": -0.0012585901899253703, "left": -0.000622579979821029, "right": -0.0006360102098200914, "delta": 2.8424983720964914e-13, "corrected": -0.0012585901896221706, "estimatedError": 1.894998914730994e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.171875, "b": 0.1796875, "fa": -0.16453080841708947, "fm": -0.1679377540276446, "fb": -0.17132344631502766, "fl": -0.16623691574806795, "fr": -0.16963327886468774, "whole": -0.001311986029743093, "left": -0.000649359521768884, "right": -0.0006626265076832183, "delta": 2.90990538956426e-13, "corrected": -0.001311986029432703, "estimatedError": 1.9399369263761735e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1796875, "b": 0.1875, "fa": -0.17132344631502766, "fm": -0.1746875355281404, "fb": -0.17802967914282056, "fl": -0.17300821288387053, "fr": -0.17636137165875362, "whole": -0.0013647177963156379, "left": -0.000675809787355892, "right": -0.0006889080086627445, "delta": 2.9700135580068565e-13, "corrected": -0.0013647177959988364, "estimatedError": 1.9800090386712377e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1875, "b": 0.1953125, "fa": -0.17802967914282056, "fm": -0.18134954193345032, "fb": -0.18464679604005976, "fl": -0.1796924163057778, "fr": -0.18300101527404253, "whole": -0.0014167638579644292, "left": -0.0007019198478511601, "right": -0.0007148440098109898, "delta": 3.022794688167796e-13, "corrected": -0.0014167638576419977, "estimatedError": 2.0151964587785307e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.1953125, "b": 0.203125, "fa": -0.18464679604005976, "fm": -0.18792112103092615, "fb": -0.19117220396067255, "fl": -0.18628684441015814, "fr": -0.1895495870185936, "whole": -0.0014681034949536938, "left": -0.0007276792283278766, "right": -0.0007404242663189928, "delta": 3.068242274834043e-13, "corrected": -0.0014681034946264146, "estimatedError": 2.0454948498893622e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.203125, "b": 0.2109375, "fa": -0.19117220396067255, "fm": -0.19439973942387095, "fb": -0.19760342960416352, "fl": -0.19278893391752644, "fr": -0.19600458349020333, "whole": -0.0015187169157035415, "left": -0.000753077916051204, "right": -0.0007656389993416978, "delta": 3.106395349283808e-13, "corrected": -0.0015187169153721926, "estimatedError": 2.070930232855872e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2109375, "b": 0.21875, "fa": -0.19760342960416352, "fm": -0.20078298431891636, "fb": -0.2039381210594247, "fl": -0.19919624173182507, "fr": -0.2023636222919737, "whole": -0.0015685852707542365, "left": -0.0007781063677411329, "right": -0.0007904789026993722, "delta": 3.1373146268387497e-13, "corrected": -0.0015685852704195897, "estimatedError": 2.0915430845591664e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.21875, "b": 0.2265625, "fa": -0.2039381210594247, "fm": -0.20706856502669335, "fb": -0.21017404916282062, "fl": -0.20550644651260255, "fr": -0.20862444346161377, "whole": -0.0016176906644909097, "left": -0.0008027555157138856, "right": -0.0008149351484609173, "delta": 3.161067328033562e-13, "corrected": -0.0016176906641537292, "estimatedError": 2.1073782186890415e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2265625, "b": 0.234375, "fa": -0.21017404916282062, "fm": -0.21325431417801252, "fb": -0.21630910857326752, "fl": -0.21171734996205413, "fr": -0.21478491061695998, "whole": -0.0016660161646460134, "left": -0.0008270167729095376, "right": -0.0008389993914186979, "delta": 3.1777792203202537e-13, "corrected": -0.0016660161643070504, "estimatedError": 2.1185194802135023e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.234375, "b": 0.2421875, "fa": -0.21630910857326752, "fm": -0.2193381886587639, "fb": -0.22234131856799488, "fl": -0.21782687782988777, "fr": -0.22084301182117091, "whole": -0.0017135458096045806, "left": -0.0008508820368174365, "right": -0.000862663772468387, "delta": 3.187569565937798e-13, "corrected": -0.0017135458092645732, "estimatedError": 2.125046377291865e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2421875, "b": 0.25, "fa": -0.22234131856799488, "fm": -0.22531827026769585, "fb": -0.22826882356360756, "fl": -0.22383308063994378, "fr": -0.2267968601719822, "whole": -0.0017602646135447732, "left": -0.0008743436923147564, "right": -0.0008859209209109584, "delta": 3.1905858163816525e-13, "corrected": -0.0017602646132044441, "estimatedError": 2.1270572109211016e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.029857499854667742, "estimatedCumulativeError": 1.6023803423098732e-12, "exactCap": -0.029857499854668103, "actualError": 3.608224830031759e-16 }, { "index": 2, "value": -0.03381332257628737, "estimatedError": 3.1180636776243867e-13, "evaluations": 65, "converged": true, "leaves": [ { "a": 0.25, "b": 0.2578125, "fa": -0.22826882356360756, "fm": -0.23119276610213313, "fb": -0.23408989336793604, "fl": -0.22973413414340574, "fr": -0.23264469412029923, "whole": -0.001806158569453224, "left": -0.0008973946134370857, "right": -0.000908763955697439, "delta": 3.1869927703820355e-13, "corrected": -0.001806158569113278, "estimatedError": 2.124661846921357e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2578125, "b": 0.265625, "fa": -0.23408989336793604, "fm": -0.2369600086775406, "fb": -0.23980292316899146, "fl": -0.23552833950430443, "fr": -0.23838487752424195, "whole": -0.001851214650061315, "left": -0.0009200281641033166, "right": -0.0009311864856402994, "delta": 3.1769899211386843e-13, "corrected": -0.0018512146497224361, "estimatedError": 2.1179932807591228e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.265625, "b": 0.2734375, "fa": -0.23980292316899146, "fm": -0.24261845578763705, "fb": -0.24540643326809883, "fl": -0.24121412322382513, "fr": -0.24401589944552862, "whole": -0.0018954208067547375, "left": -0.0009422381978202663, "right": -0.0009531826086183921, "delta": 3.160789772277406e-13, "corrected": -0.0018954208064175867, "estimatedError": 2.1071931815182705e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2734375, "b": 0.28125, "fa": -0.24540643326809883, "fm": -0.24816669011249703, "fb": -0.2508990685649981, "fl": -0.24679003681067654, "fr": -0.24953637369582068, "whole": -0.0019387659665144337, "left": -0.0009640190563953789, "right": -0.0009747469098051938, "delta": 3.1386091642326974e-13, "corrected": -0.0019387659661796487, "estimatedError": 2.092406109488465e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.28125, "b": 0.2890625, "fa": -0.2508990685649981, "fm": -0.2536034185827601, "fb": -0.2562795978033453, "fl": -0.25225475620547755, "fr": -0.2549450381412986, "whole": -0.0019812400269523227, "left": -0.0009853655676885862, "right": -0.0009958744589526692, "delta": 3.110671442652091e-13, "corrected": -0.001981240026620518, "estimatedError": 2.0737809617680605e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.2890625, "b": 0.296875, "fa": -0.2562795978033453, "fm": -0.2589274715086796, "fb": -0.26154691258563295, "fl": -0.2576070809677458, "fr": -0.26024075377435224, "whole": -0.0020228338495100217, "left": -0.0010062730424368544, "right": -0.0010165608067654436, "delta": 3.077238984461328e-13, "corrected": -0.002022833849181783, "estimatedError": 2.0514926563075518e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.296875, "b": 0.3046875, "fa": -0.26154691258563295, "fm": -0.26413780148330107, "fb": -0.26670002616707156, "fl": -0.26284593323464395, "fr": -0.2654225035618025, "whole": -0.00206353925089311, "left": -0.0010267372701871808, "right": -0.0010368019804020722, "delta": 3.038571998181805e-13, "corrected": -0.0020635392505689958, "estimatedError": 2.0257146654545367e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3046875, "b": 0.3125, "fa": -0.26670002616707156, "fm": -0.2692334820695514, "fb": -0.2717380720384426, "fl": -0.2679703564611514, "fr": -0.2704893910795484, "whole": -0.002103348992817343, "left": -0.0010467545143758, "right": -0.0010565944781420493, "delta": 2.9949393659522983e-13, "corrected": -0.002103348992497883, "estimatedError": 1.9966262439681988e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3125, "b": 0.3203125, "fa": -0.2717380720384426, "fm": -0.2742137062814524, "fb": -0.2766603023083175, "fl": -0.27297951395176673, "fr": -0.27544063894395165, "whole": -0.0021422567701465754, "left": -0.0010663215065930742, "right": -0.001075935263258839, "delta": 2.9466186435289643e-13, "corrected": -0.0021422567698322695, "estimatedError": 1.9644124290193097e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3203125, "b": 0.328125, "fa": -0.2766603023083175, "fm": -0.2790777848700366, "fb": -0.281466085895392, "fl": -0.27787268719423885, "fr": -0.28027558705061867, "whole": -0.0021802571975050207, "left": -0.0010854354400750713, "right": -0.001094821757140562, "delta": 2.8938743762418895e-13, "corrected": -0.002180257197196341, "estimatedError": 1.9292495841612597e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.328125, "b": 0.3359375, "fa": -0.281466085895392, "fm": -0.28382514442485257, "fb": -0.2861549065419457, "fl": -0.2826492740061391, "fr": -0.2849936906315321, "whole": -0.0022173457944488907, "left": -0.001104093962464063, "right": -0.0011132518317011242, "delta": 2.8370318247428195e-13, "corrected": -0.002217345794146274, "estimatedError": 1.8913545498285462e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3359375, "b": 0.34375, "fa": -0.2861549065419457, "fm": -0.2884553253021881, "fb": -0.290726360659662, "fl": -0.287308786505352, "fr": -0.28959451814172005, "whole": -0.002253518969284323, "left": -0.0011222951678812121, "right": -0.0011312238011254754, "delta": 2.7763511975531507e-13, "corrected": -0.0022535189689881787, "estimatedError": 1.8509007983687672e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.34375, "b": 0.3515625, "fa": -0.290726360659662, "fm": -0.2929679793913337, "fb": -0.2951801550191954, "fl": -0.2918508489157584, "fr": -0.29407774898681066, "whole": -0.0022887740016200417, "left": -0.0011400375883554878, "right": -0.001148736412993341, "delta": 2.7121317344724893e-13, "corrected": -0.0022887740013307475, "estimatedError": 1.8080878229816595e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3515625, "b": 0.359375, "fa": -0.2951801550191954, "fm": -0.2973628677303289, "fb": -0.29951610429497705, "fl": -0.2962751952195325, "fr": -0.29844317110294855, "whole": -0.002323109023744125, "left": -0.0011573201846534207, "right": -0.001165788838826237, "delta": 2.6446726753004413e-13, "corrected": -0.0023231090234620264, "estimatedError": 1.7631151168669607e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.359375, "b": 0.3671875, "fa": -0.29951610429497705, "fm": -0.3016398579827123, "fb": -0.3037341284767963, "fl": -0.30058166666756014, "fr": -0.3026906784005997, "whole": -0.002356523000914873, "left": -0.001174142336554642, "right": -0.0011823806641028042, "delta": 2.5742645862192326e-13, "corrected": -0.002356523000640285, "estimatedError": 1.7161763908128218e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3671875, "b": 0.375, "fa": -0.3037341284767963, "fm": -0.30579892178681545, "fb": -0.307834250159686, "fl": -0.30477020915951547, "fr": -0.306820268083782, "whole": -0.002389015710655917, "left": -0.0011905038326182771, "right": -0.001198511877787519, "delta": 2.5012067070284694e-13, "corrected": -0.0023890157103891216, "estimatedError": 1.6674711380189797e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.06367082243095512, "estimatedCumulativeError": 1.914186710072312e-12, "exactCap": -0.06367082243095548, "actualError": 3.608224830031759e-16 }, { "index": 3, "value": -0.04190198656912868, "estimatedError": 1.3734240307539115e-12, "evaluations": 49, "converged": true, "leaves": [ { "a": 0.375, "b": 0.3828125, "fa": -0.307834250159686, "fm": -0.30984013198911164, "fb": -0.31181659172359044, "fl": -0.30884087050511977, "fr": -0.3108320378562171, "whole": -0.002420587721145473, "left": -0.0012064048594852062, "right": -0.0012141828614176892, "delta": 2.425772256675618e-13, "corrected": -0.0024205877208867237, "estimatedError": 1.6171815044504118e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3828125, "b": 0.390625, "fa": -0.31181659172359044, "fm": -0.3137636597730474, "fb": -0.3156813724141901, "fl": -0.31279379757803766, "fr": -0.3147261830258054, "whole": -0.0024512403687890236, "left": -0.00122184599076093, "right": -0.0012293943777932676, "delta": 2.348260474960284e-13, "corrected": -0.0024512403685385425, "estimatedError": 1.565506983306856e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.390625, "b": 0.3984375, "fa": -0.3156813724141901, "fm": -0.31756977169466577, "fb": -0.31942890533610957, "fl": -0.3166292333737497, "fr": -0.3185029935186969, "whole": -0.002480975735063753, "left": -0.0012368281755233428, "right": -0.0012441475593135175, "delta": 2.268927233595175e-13, "corrected": -0.002480975734821734, "estimatedError": 1.5126181557301165e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.3984375, "b": 0.40625, "fa": -0.31942890533610957, "fm": -0.3212588266361637, "fb": -0.32305959436955634, "fl": -0.32034751398259365, "fr": -0.3221628508140465, "whole": -0.0025097966227217716, "left": -0.0012513527264991196, "right": -0.0012584438960038453, "delta": 2.188067435571206e-13, "corrected": -0.0025097966224883776, "estimatedError": 1.4587116237141373e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.40625, "b": 0.4140625, "fa": -0.32305959436955634, "fm": -0.3248312726883155, "fb": -0.3265739310212056, "fl": -0.32394906548895724, "fr": -0.3257062248103385, "whole": -0.0025377065314375314, "left": -0.001265421307951628, "right": -0.0012722852232753094, "delta": 2.105941289409774e-13, "corrected": -0.0025377065312128977, "estimatedError": 1.403960859606516e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.4140625, "b": 0.421875, "fa": -0.3265739310212056, "fm": -0.32828764397246013, "fb": -0.32997249121989475, "fl": -0.32743440080738806, "fr": -0.3291336706339023, "whole": -0.002564709632982996, "left": -0.0012790359233224077, "right": -0.00128567370945831, "delta": 2.0227829827801358e-13, "corrected": -0.0025647096327672324, "estimatedError": 1.3485219885200905e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.421875, "b": 0.4296875, "fa": -0.32997249121989475, "fm": -0.33162855741247227, "fb": -0.33325593206740006, "fl": -0.330804116466106, "fr": -0.33244582539997325, "whole": -0.002590810746011958, "left": -0.0012921989026671817, "right": -0.0012986118431508888, "delta": 1.9388787450558276e-13, "corrected": -0.0025908107458051445, "estimatedError": 1.2925858300372184e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.4296875, "b": 0.4375, "fa": -0.33325593206740006, "fm": -0.33485470946683155, "fb": -0.33642498855424663, "fl": -0.334058889348119, "fr": -0.33564340493632955, "whole": -0.002616015310532517, "left": -0.001304912889926242, "right": -0.001311102420420831, "delta": 1.8544410798626565e-13, "corrected": -0.00261601531033471, "estimatedError": 1.236294053241771e-14, "tolerance": 1.953125e-13, "accepted": true, "depthUsed": 4 }, { "a": 0.4375, "b": 0.453125, "fa": -0.33642498855424663, "fm": -0.33948047025016775, "fb": -0.34242325797846085, "fl": -0.3379668728305791, "fr": -0.34096589311659153, "whole": -0.005304088873784841, "left": -0.002640329362144181, "right": -0.0026637595061132745, "delta": 5.527384973336158e-12, "corrected": -0.005304088867888963, "estimatedError": 3.6849233155574387e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.453125, "b": 0.46875, "fa": -0.34242325797846085, "fm": -0.34525430048310046, "fb": -0.34797461109708316, "fl": -0.3438526855252318, "fr": -0.3466282315110469, "whole": -0.00539431008074986, "left": -0.0026863128913574064, "right": -0.002707997184406733, "delta": 4.985721037409352e-12, "corrected": -0.0053943100754317574, "estimatedError": 3.323814024939568e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.46875, "b": 0.484375, "fa": -0.34797461109708316, "fm": -0.3505852644200507, "fb": -0.35308739301283276, "fl": -0.34929357545476936, "fr": -0.35184982134847353, "whole": -0.005477612140078435, "left": -0.002728820543406525, "right": -0.0027487915922223666, "delta": 4.4495431644753225e-12, "corrected": -0.005477612135332256, "estimatedError": 2.966362109650215e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.484375, "b": 0.5, "fa": -0.35308739301283276, "fm": -0.3554821841161096, "fb": -0.3577708763999663, "fl": -0.3542981295013042, "fr": -0.3566397132727662, "whole": -0.005554132827805306, "left": -0.0027679193947059365, "right": -0.002786213429175965, "delta": 3.923404136296771e-12, "corrected": -0.005554132823620342, "estimatedError": 2.6156027575311806e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.1055728090000838, "estimatedCumulativeError": 3.2876107408262233e-12, "exactCap": -0.10557280900008412, "actualError": 3.191891195797325e-16 }, { "index": 4, "value": -0.046428886994828195, "estimatedError": 9.808394258829327e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.5, "b": 0.515625, "fa": -0.3577708763999663, "fm": -0.3599547567506789, "fb": -0.36203515710062467, "fl": -0.35887583584013, "fr": -0.3610078070060691, "whole": -0.005624023595060694, "left": -0.0028036835631655797, "right": -0.002820340028483828, "delta": 3.4112868779745398e-12, "corrected": -0.005624023591421988, "estimatedError": 2.2741912519830267e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.515625, "b": 0.53125, "fa": -0.36203515710062467, "fm": -0.36401345130678703, "fb": -0.3658910520828877, "fl": -0.36303698005221197, "fr": -0.36496474864385753, "whole": -0.0056874479541944275, "left": -0.0028361933966357545, "right": -0.0028512545546420637, "delta": 2.9166087947563035e-12, "corrected": -0.005687447951083378, "estimatedError": 1.944405863170869e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.53125, "b": 0.546875, "fa": -0.3658910520828877, "fm": -0.36766940798975634, "fb": -0.3693500004881306, "fl": -0.36679254379067777, "fr": -0.36852183086780155, "whole": -0.005744579907630322, "left": -0.002865534681296035, "right": -0.0028790452238920488, "delta": 2.4422382519095898e-12, "corrected": -0.005744579905025268, "estimatedError": 1.628158834606393e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.546875, "b": 0.5625, "fa": -0.3693500004881306, "fm": -0.37093434105766926, "fb": -0.37242396838556413, "fl": -0.37015410670127485, "fr": -0.3716908967214754, "whole": -0.005795602429959301, "left": -0.0028917978754569, "right": -0.0029038045525118946, "delta": 1.9905067177861113e-12, "corrected": -0.005795602427836094, "estimatedError": 1.3270044785240743e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.5625, "b": 0.578125, "fa": -0.37242396838556413, "fm": -0.3738204456277504, "fb": -0.37512535774533495, "fl": -0.37313375218767125, "fr": -0.37448424748653625, "whole": -0.005840706012088283, "left": -0.0029150773733906243, "right": -0.0029256286371344142, "delta": 1.5632443256530237e-12, "corrected": -0.005840706010420822, "estimatedError": 1.0421628837686825e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.578125, "b": 0.59375, "fa": -0.37512535774533495, "fm": -0.3763403089185054, "fb": -0.37746692003983146, "fl": -0.37574397750705757, "fr": -0.37691455509392374, "whole": -0.005880087274633302, "left": -0.0029354708029844666, "right": -0.00294461647048702, "delta": 1.1618154355241828e-12, "corrected": -0.005880087273394032, "estimatedError": 7.745436236827885e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.59375, "b": 0.609375, "fa": -0.37746692003983146, "fm": -0.3785068262885397, "fb": -0.3794616747870202, "fl": -0.3779976085811354, "fr": -0.3789947794072566, "whole": -0.005913947656200548, "left": -0.0029530783602251466, "right": -0.0029608692951882637, "delta": 7.871377161183801e-13, "corrected": -0.005913947655360934, "estimatedError": 5.247584774122534e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.609375, "b": 0.625, "fa": -0.3794616747870202, "fm": -0.38033312234052263, "fb": -0.38112283326071383, "fl": -0.37990771981341626, "fr": -0.3807380906248685, "whole": -0.005942492180754751, "left": -0.0029680021827880308, "right": -0.002974489997526967, "delta": 4.397532685218586e-13, "corrected": -0.005942492180285681, "estimatedError": 2.9316884568123905e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.15200169599491198, "estimatedCumulativeError": 4.2684501667091555e-12, "exactCap": -0.15200169599491206, "actualError": 8.326672684688674e-17 }, { "index": 5, "value": -0.047998304005093737, "estimatedError": 4.437625035954203e-13, "evaluations": 29, "converged": true, "leaves": [ { "a": 0.625, "b": 0.65625, "fa": -0.38112283326071383, "fm": -0.3824637275112116, "fb": -0.38349774476621573, "fl": -0.3818324772734936, "fr": -0.38301825858918787, "whole": -0.011950393167040498, "left": -0.005965928306942449, "right": -0.005984464861026506, "delta": -9.284569640888307e-13, "corrected": -0.011950393168030852, "estimatedError": 6.189713093925539e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.65625, "b": 0.671875, "fa": -0.38349774476621573, "fm": -0.38390385818851847, "fb": -0.38423826721643345, "fl": -0.38370986869140766, "fr": -0.38407992167121174, "whole": -0.005998311054001883, "left": -0.0029977097366150583, "right": -0.003000601317825259, "delta": -4.384348786801162e-13, "corrected": -0.005998311054469547, "estimatedError": 2.9228991912007745e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.671875, "b": 0.6875, "fa": -0.38423826721643345, "fm": -0.38450263483292496, "fb": -0.3846986171328613, "fl": -0.3843791025165811, "fr": -0.38460907095027114, "whole": -0.006007675582502591, "left": -0.003002939208483962, "right": -0.0030047363746964467, "delta": -6.778180447475357e-13, "corrected": -0.006007675583225597, "estimatedError": 4.518786964983571e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.6875, "b": 0.703125, "fa": -0.3846986171328613, "fm": -0.38482786189184004, "fb": -0.38489200721321487, "fl": -0.38477147908149073, "fr": -0.3848679700140056, "whole": -0.006012765812274574, "left": -0.0030060057231128443, "right": -0.0030067600900534858, "delta": -8.917562868693274e-13, "corrected": -0.006012765813225781, "estimatedError": 5.945041912462183e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.703125, "b": 0.71875, "fa": -0.38489200721321487, "fm": -0.38489268025185075, "fb": -0.38483149601303085, "fl": -0.3849001765317205, "fr": -0.3848697198602137, "whole": -0.0060137870422751274, "left": -0.0030070122312395153, "right": -0.003006774812116844, "delta": -1.0812323258946321e-12, "corrected": -0.006013787043428442, "estimatedError": 7.208215505964214e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.71875, "b": 0.734375, "fa": -0.38483149601303085, "fm": -0.3847100562248365, "fb": -0.3845299482822398, "fl": -0.3847782085025958, "fr": -0.3846272371479709, "whole": -0.00601094184686098, "left": -0.003006060398760743, "right": -0.003004881449347604, "delta": -1.247365925827193e-12, "corrected": -0.006010941848191504, "estimatedError": 8.315772838847953e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.734375, "b": 0.75, "fa": -0.3845299482822398, "fm": -0.3842927442610765, "fb": -0.384, "fl": -0.38441838565070213, "fr": -0.3841532180786163, "whole": -0.00600442949303788, "left": -0.00300325030617985, "right": -0.003001179188249403, "delta": -1.3913731278236696e-12, "corrected": -0.006004429494522011, "estimatedError": 9.275820852157798e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.20000000000000573, "estimatedCumulativeError": 4.7122126703045756e-12, "exactCap": -0.2, "actualError": -5.717648576819556e-15 }, { "index": 6, "value": -0.04742330529312236, "estimatedError": 9.396225117419554e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.75, "b": 0.765625, "fa": -0.384, "fm": -0.3836532542484709, "fb": -0.38325402787878626, "fl": -0.3838332818282224, "fr": -0.3834601068049712, "whole": -0.005994445429355912, "left": -0.002998680184324688, "right": -0.0029957652465457583, "delta": -1.514534157809333e-12, "corrected": -0.005994445430971415, "estimatedError": 1.0096894385395553e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.765625, "b": 0.78125, "fa": -0.38325402787878626, "fm": -0.38280382316012695, "fb": -0.3823041230925717, "fl": -0.38303520466655017, "fr": -0.38256006812716975, "whole": -0.005981180842739234, "left": -0.002992446184511867, "right": -0.002988734659845544, "delta": -1.6181769466050433e-12, "corrected": -0.005981180844465289, "estimatedError": 1.0787846310700288e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.78125, "b": 0.796875, "fa": -0.3823041230925717, "fm": -0.3817563907990091, "fb": -0.3811620689728715, "fl": -0.38203617032078696, "fr": -0.38146496422118803, "whole": -0.005964822279326769, "left": -0.0029846421812170943, "right": -0.0029801800998133236, "delta": -1.7036485069898966e-12, "corrected": -0.005964822281143994, "estimatedError": 1.1357656713265977e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.796875, "b": 0.8125, "fa": -0.3811620689728715, "fm": -0.3805225793796117, "fb": -0.37983932240984286, "fl": -0.3808478821168533, "fr": -0.380186335138525, "whole": -0.005945551325263441, "left": -0.0029753596052342402, "right": -0.002970191721801503, "delta": -1.7723027906368927e-12, "corrected": -0.005945551327153897, "estimatedError": 1.1815351937579285e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.8125, "b": 0.828125, "fa": -0.37983932240984286, "fm": -0.37911367668207774, "fb": -0.3783469986930137, "fl": -0.3794817128374042, "fr": -0.37873538281191815, "whole": -0.005923544343310332, "left": -0.0029646873052624183, "right": -0.0029588570398733902, "delta": -1.8254764019842717e-12, "corrected": -0.005923544345257507, "estimatedError": 1.2169842679895145e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.828125, "b": 0.84375, "fa": -0.3783469986930137, "fm": -0.3775406225133302, "fb": -0.37669585952699247, "fl": -0.37794869038101525, "fr": -0.37712295830196324, "whole": -0.005898972261128455, "left": -0.0029527114358468814, "right": -0.002946260827146062, "delta": -1.864488598235514e-12, "corrected": -0.005898972263117243, "estimatedError": 1.242992398823676e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.84375, "b": 0.859375, "fa": -0.37669585952699247, "fm": -0.3758139982120782, "fb": -0.3748963039611842, "fl": -0.37625948653066155, "fr": -0.3753595520224984, "whole": -0.005872000407126275, "left": -0.0029395153696116106, "right": -0.0029324850394052814, "delta": -1.890617003230677e-12, "corrected": -0.0058720004091429336, "estimatedError": 1.2604113354871178e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.859375, "b": 0.875, "fa": -0.3748963039611842, "fm": -0.3739440189394925, "fb": -0.37295836197862964, "fl": -0.3744244085718239, "fr": -0.373455286688146, "whole": -0.0058427883898379785, "left": -0.0029251796317551725, "right": -0.002917608759987899, "delta": -1.9050932706377033e-12, "corrected": -0.005842788391870078, "estimatedError": 1.2700621804251356e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2474233052931281, "estimatedCumulativeError": 5.651835182046531e-12, "exactCap": -0.24742330529312215, "actualError": -5.9396931817445875e-15 }, { "index": 7, "value": -0.04546991352033039, "estimatedError": 9.816707053726207e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.875, "b": 0.890625, "fa": -0.37295836197862964, "fm": -0.3719405285044781, "fb": -0.3708916904971506, "fl": -0.3724533935071908, "fr": -0.3714199127350179, "whole": -0.0058114900169106585, "left": -0.002909781854833165, "right": -0.002901708163986589, "delta": -1.9090952776967818e-12, "corrected": -0.005811490018947027, "estimatedError": 1.2727301851311878e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.890625, "b": 0.90625, "fa": -0.3708916904971506, "fm": -0.3698129964813802, "fb": -0.3687055715456258, "fl": -0.37035600462341733, "fr": -0.3692628059748674, "whole": -0.005778253249917441, "left": -0.0028933967519169275, "right": -0.002884856499904265, "delta": -1.9037523293907732e-12, "corrected": -0.00577825325194811, "estimatedError": 1.2691682195938488e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.90625, "b": 0.921875, "fa": -0.3687055715456258, "fm": -0.3675705173882366, "fb": -0.36640891238907614, "fl": -0.36814143017537354, "fr": -0.36699296725355957, "whole": -0.0057432201913740835, "left": -0.0028760961062960374, "right": -0.0028671240869681653, "delta": -1.8901191375930715e-12, "corrected": -0.00574322019339021, "estimatedError": 1.2600794250620476e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.921875, "b": 0.9375, "fa": -0.36640891238907614, "fm": -0.3652218117050418, "fb": -0.3640102473879842, "fl": -0.3658184839644315, "fr": -0.36461902389628137, "whole": -0.005706527100513613, "left": -0.0028579487759789637, "right": -0.002848578326403843, "delta": -1.8691931683023633e-12, "corrected": -0.0057065271025074195, "estimatedError": 1.2461287788682422e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.9375, "b": 0.953125, "fa": -0.3640102473879842, "fm": -0.3627752285235603, "fb": -0.36151774138962406, "fl": -0.363395607599253, "fr": -0.3621492327341358, "whole": -0.005668304434562108, "left": -0.0028390207113392664, "right": -0.0028292837250647497, "delta": -1.841907702748724e-12, "corrected": -0.00566830443652681, "estimatedError": 1.2279384684991493e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.953125, "b": 0.96875, "fa": -0.36151774138962406, "fm": -0.3602387496327937, "fb": -0.35893919446189443, "fl": -0.3608808742400101, "fr": -0.3595914845194122, "whole": -0.00562867691245493, "left": -0.0028193749843521587, "right": -0.002809301929911897, "delta": -1.8091257658614524e-12, "corrected": -0.005628676914384664, "estimatedError": 1.206083843907635e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.96875, "b": 0.984375, "fa": -0.35893919446189443, "fm": -0.35761999485702056, "fb": -0.35628204779301387, "fl": -0.3582819936397408, "fr": -0.3569533095496739, "whole": -0.005587763598132788, "left": -0.002799071827965987, "right": -0.0027886917719384505, "delta": -1.7716496672481874e-12, "corrected": -0.005587763600022548, "estimatedError": 1.1810997781654582e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.984375, "b": 1, "fa": -0.35628204779301387, "fm": -0.3549262284761993, "fb": -0.3535533905932737, "fl": -0.3556063183094178, "fr": -0.35424188433365483, "whole": -0.0055456780007580335, "left": -0.0027781686842537553, "right": -0.002767509318234495, "delta": -1.7302175317479573e-12, "corrected": -0.005545678002603599, "estimatedError": 1.1534783544986382e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2928932188134585, "estimatedCumulativeError": 6.633505887419152e-12, "exactCap": -0.2928932188134525, "actualError": -5.995204332975845e-15 }, { "index": 8, "value": -0.04274294235662779, "estimatedError": 8.047751122915632e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 1, "b": 1.015625, "fa": -0.3535533905932737, "fm": -0.3521643665712864, "fb": -0.35075996784769764, "fl": -0.3528608506461074, "fr": -0.3514640391446814, "whole": -0.00550252818939093, "left": -0.0027567202600898306, "right": -0.002745807930986601, "delta": -1.6855024320694412e-12, "corrected": -0.005502528191188799, "estimatedError": 1.1236682880462941e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.015625, "b": 1.03125, "fa": -0.35075996784769764, "fm": -0.3493409851495491, "fb": -0.3479081887808235, "fl": -0.3500522508761985, "fr": -0.3486262663197742, "whole": -0.005458416919861243, "left": -0.002734778589195366, "right": -0.002723638332303997, "delta": -1.6381193276848727e-12, "corrected": -0.0054584169216085705, "estimatedError": 1.0920795517899151e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.03125, "b": 1.046875, "fa": -0.3479081887808235, "fm": -0.3464623289171153, "fb": -0.34500413590677526, "fl": -0.34718684567793906, "fr": -0.34573472917464954, "whole": -0.005413441771760573, "left": -0.0027123930994917902, "right": -0.002701048673857407, "delta": -1.5886241974683024e-12, "corrected": -0.005413441773455105, "estimatedError": 1.0590827983122016e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.046875, "b": 1.0625, "fa": -0.34500413590677526, "fm": -0.3435343205777386, "fb": -0.34205357454928004, "fl": -0.34427063735937025, "fr": -0.3427952714164568, "whole": -0.005367695293664087, "left": -0.0026896106847942637, "right": -0.0026780846104073517, "delta": -1.5375279174834056e-12, "corrected": -0.0053676952953041175, "estimatedError": 1.0250186116556038e-13, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.0625, "b": 1.078125, "fa": -0.34205357454928004, "fm": -0.34056257054798084, "fb": -0.3390619627272391, "fl": -0.34130931347910465, "fr": -0.33981342694716926, "whole": -0.005321265154865736, "left": -0.0026664757799657285, "right": -0.002654789376385283, "delta": -1.4852754443017702e-12, "corrected": -0.0053212651564500295, "estimatedError": 9.901836295345134e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.078125, "b": 1.09375, "fa": -0.3390619627272391, "fm": -0.337552386989676, "fb": -0.33603446131184006, "fl": -0.33830825680820187, "fr": -0.3367944299610785, "whole": -0.00527423430207756, "left": -0.002643030438736618, "right": -0.0026312038647732165, "delta": -1.4322744379402508e-12, "corrected": -0.00527423430360532, "estimatedError": 9.548496252935006e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.09375, "b": 1.109375, "fa": -0.33603446131184006, "fm": -0.33450878607064005, "fb": -0.33297594437097294, "fl": -0.33527255554163676, "fr": -0.333743225249772, "whole": -0.005226681119701492, "left": -0.0026193144134752954, "right": -0.002607366707605079, "delta": -1.3788822514348986e-12, "corrected": -0.0052266811211723, "estimatedError": 9.192548342899324e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.109375, "b": 1.125, "fa": -0.33297594437097294, "fm": -0.3314365023740415, "fb": -0.3298910096258912, "fl": -0.33220701367746935, "fr": -0.3306644786372897, "whole": -0.005178679592429766, "left": -0.0025953652362693904, "right": -0.0025833143574857964, "delta": -1.3254206759905074e-12, "corrected": -0.005178679593843548, "estimatedError": 8.836137839936716e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.33563616117008627, "estimatedCumulativeError": 7.438280999710715e-12, "exactCap": -0.33563616117008027, "actualError": -5.995204332975845e-15 }, { "index": 9, "value": -0.039668791275495476, "estimatedError": 5.831097179183804e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 1.125, "b": 1.140625, "fa": -0.3298910096258912, "fm": -0.3283399993857259, "fb": -0.3267839889535869, "fl": -0.32911616149084894, "fr": -0.3275625874768647, "whole": -0.005130299469068702, "left": -0.0025712183007487147, "right": -0.00255908116959215, "delta": -1.2721629305545434e-12, "corrected": -0.0051302994704256755, "estimatedError": 8.481086203696956e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.140625, "b": 1.15625, "fa": -0.3267839889535869, "fm": -0.3252234799970105, "fb": -0.3236589588763041, "fl": -0.3260042660383717, "fr": -0.32444169114873245, "whole": -0.005081606426609201, "left": -0.002546906944145943, "right": -0.0025346994836826097, "delta": -1.2193518764136435e-12, "corrected": -0.005081606427909843, "estimatedError": 8.12901250942429e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.15625, "b": 1.171875, "fa": -0.3236589588763041, "fm": -0.3220908969681078, "fb": -0.3205197509869286, "fl": -0.3228753416360946, "fr": -0.32130568150597805, "whole": -0.005032662233686625, "left": -0.0025224625291520707, "right": -0.002510199705701756, "delta": -1.1672017519170907e-12, "corrected": -0.00503266223493164, "estimatedError": 7.781345012780605e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.171875, "b": 1.1875, "fa": -0.3205197509869286, "fm": -0.3189459633043639, "fb": -0.31736996226574543, "fl": -0.3197331602616875, "fr": -0.3181582132222777, "whole": -0.00498352491268263, "left": -0.002497914525179743, "right": -0.0024856103886187766, "delta": -1.1158894988594348e-12, "corrected": -0.004983524913872912, "estimatedError": 7.439263325729565e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.1875, "b": 1.203125, "fa": -0.31736996226574543, "fm": -0.31579216250396214, "fb": -0.3142129652502357, "fl": -0.3165812618378167, "fr": -0.31500271400171115, "whole": -0.004934248899822473, "left": -0.0024732905886991853, "right": -0.0024609583121888573, "delta": -1.0655695076300375e-12, "corrected": -0.00493424890095908, "estimatedError": 7.103796717533583e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.203125, "b": 1.21875, "fa": -0.3142129652502357, "fm": -0.3126327586416452, "fb": -0.31105191802521526, "fl": -0.31342296435988176, "fr": -0.3118423946165913, "whole": -0.004884885202713625, "left": -0.002448616642358604, "right": -0.0024362685613713874, "delta": -1.0163666783191694e-12, "corrected": -0.004884885203797749, "estimatedError": 6.775777855461129e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.21875, "b": 1.234375, "fa": -0.31105191802521526, "fm": -0.309470806258391, "fb": -0.3078897740057571, "fl": -0.31026137383674646, "fr": -0.3086802587445134, "whole": -0.004835481554855563, "left": -0.0024239169526440005, "right": -0.00241156460317995, "delta": -9.683868290588649e-13, "corrected": -0.00483548155588851, "estimatedError": 6.455912193725766e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.234375, "b": 1.25, "fa": -0.3078897740057571, "fm": -0.3063091600318525, "fb": -0.3047292914899631, "fl": -0.30709939401810066, "fr": -0.3055191125805776, "whole": -0.004786082566726901, "left": -0.0023992142058724118, "right": -0.0023868683617762057, "delta": -9.217166960229228e-13, "corrected": -0.004786082567710065, "estimatedError": 6.144777973486152e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.37530495244558176, "estimatedCumulativeError": 8.021390717629095e-12, "exactCap": -0.37530495244557577, "actualError": -5.995204332975845e-15 }, { "index": 10, "value": -0.03652334987937804, "estimatedError": 3.91082247604609e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 1.25, "b": 1.265625, "fa": -0.3047292914899631, "fm": -0.30315048420678264, "fb": -0.3015730429628424, "fl": -0.30393973588661366, "fr": -0.30236157420503484, "whole": -0.004736729873124834, "left": -0.002374529582347917, "right": -0.002362200291653339, "delta": -8.764221987034304e-13, "corrected": -0.004736729874059684, "estimatedError": 5.842814658022869e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.265625, "b": 1.28125, "fa": -0.3015730429628424, "fm": -0.29999726176862723, "fb": -0.298423424136308, "fl": -0.3007849268971083, "fr": -0.29921008269047134, "whole": -0.004687462276493904, "left": -0.00234988282854154, "right": -0.0023375794487849226, "delta": -8.325579808898809e-13, "corrected": -0.004687462277381966, "estimatedError": 5.5503865392658723e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.28125, "b": 1.296875, "fa": -0.298423424136308, "fm": -0.2968518033470219, "fb": -0.2952826627136586, "fl": -0.297637319948648, "fr": -0.2960669069360866, "whole": -0.0046383158860366, "left": -0.002325292327184794, "right": -0.0023130235596419625, "delta": -7.901570023283178e-13, "corrected": -0.004638315886879434, "estimatedError": 5.2677133488554516e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.296875, "b": 1.3125, "fa": -0.2952826627136586, "fm": -0.29371625583910127, "fb": -0.2921528268698991, "fl": -0.2944991020786784, "fr": -0.29293415421971747, "whole": -0.004589324252447819, "left": -0.002300775165192023, "right": -0.0022885490880050394, "delta": -7.492435491474048e-13, "corrected": -0.004589324253247012, "estimatedError": 4.994956994316032e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.3125, "b": 1.328125, "fa": -0.2921528268698991, "fm": -0.290592610745339, "fb": -0.28903583344190725, "fl": -0.29137230287127597, "fr": -0.28981377846097134, "whole": -0.004540518498159277, "left": -0.0022763471993494035, "right": -0.0022641712995197026, "delta": -7.098288970497357e-13, "corrected": -0.004540518498916428, "estimatedError": 4.732192646998238e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.328125, "b": 1.34375, "fa": -0.28903583344190725, "fm": -0.2874827122131288, "fb": -0.2859334558247829, "fl": -0.28825880257411834, "fr": -0.2867075881912559, "whole": -0.004491927443018764, "left": -0.002252023119728528, "right": -0.0022399043239621553, "delta": -6.719191175674766e-13, "corrected": -0.004491927443735478, "estimatedError": 4.479460783783177e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.34375, "b": 1.359375, "fa": -0.2859334558247829, "fm": -0.28438826478550233, "fb": -0.28284733157276465, "fl": -0.2851603399210539, "fr": -0.2836172542286051, "whole": -0.00444357772536343, "left": -0.0022278165108001314, "right": -0.0022157612151988116, "delta": -6.355133433388893e-13, "corrected": -0.00444357772604131, "estimatedError": 4.236755622259262e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.359375, "b": 1.375, "fa": -0.28284733157276465, "fm": -0.28131084085429264, "fb": -0.2797789697048867, "fl": -0.28207851965912106, "fr": -0.28054431705704425, "whole": -0.0043954939184760984, "left": -0.0022037399102389863, "right": -0.0021917540088377033, "delta": -6.005916250440002e-13, "corrected": -0.004395493919116729, "estimatedError": 4.0039441669600016e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4118283023249598, "estimatedCumulativeError": 8.412472965233703e-12, "exactCap": -0.41182830232495377, "actualError": -6.050715484207103e-15 }, { "index": 11, "value": -0.03347150144981706, "estimatedError": 2.478515078359796e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 1.375, "b": 1.390625, "fa": -0.2797789697048867, "fm": -0.2782518878187152, "fb": -0.27672975771709074, "fl": -0.27901481978060516, "fr": -0.2774901939118526, "whole": -0.004347698642439683, "left": -0.0021798048654245086, "right": -0.002167893777582313, "delta": -5.671392175332635e-13, "corrected": -0.004347698643044631, "estimatedError": 3.780928116888423e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.390625, "b": 1.40625, "fa": -0.27672975771709074, "fm": -0.27521273495177484, "fb": -0.273700968303839, "fl": -0.2759705984621896, "fr": -0.27445618557345, "whole": -0.004300212671427159, "left": -0.002156021987653156, "right": -0.002144190684309132, "delta": -5.351292325928014e-13, "corrected": -0.004300212671997964, "estimatedError": 3.567528217285343e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.40625, "b": 1.421875, "fa": -0.273700968303839, "fm": -0.272194599978135, "fb": -0.2706937657934107, "fl": -0.2729471007145603, "fr": -0.2714434828738256, "whole": -0.004253055036483828, "left": -0.0021324010040888216, "right": -0.0021206540328995416, "delta": -5.045356493704745e-13, "corrected": -0.004253055037021999, "estimatedError": 3.363570995803163e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.421875, "b": 1.4375, "fa": -0.2706937657934107, "fm": -0.2691985953681269, "fb": -0.2677092123020187, "fl": -0.2699454647468904, "fr": -0.26845317292042065, "whole": -0.004206243123874836, "left": -0.002108950807485806, "right": -0.0020972923168643596, "delta": -4.753298449289289e-13, "corrected": -0.004206243124381855, "estimatedError": 3.168865632859526e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.4375, "b": 1.453125, "fa": -0.2677092123020187, "fm": -0.2662257343534597, "fb": -0.264748273612682, "fl": -0.2669667280515609, "fr": -0.26548624504321827, "whole": -0.004159792769084738, "left": -0.002085679503726201, "right": -0.002074113265806009, "delta": -4.474710532664794e-13, "corrected": -0.004159792769562041, "estimatedError": 2.983140355109863e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.453125, "b": 1.46875, "fa": -0.264748273612682, "fm": -0.26327693667090735, "fb": -0.2618118247854503, "fl": -0.2640118332152312, "fr": -0.2625435964714798, "whole": -0.004113718346567087, "left": -0.0020625944572194195, "right": -0.0020511238897685893, "delta": -4.2092111046665437e-13, "corrected": -0.00411371834701607, "estimatedError": 2.8061407364443623e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.46875, "b": 1.484375, "fa": -0.2618118247854503, "fm": -0.26035303404085175, "fb": -0.25890065550610386, "fl": -0.2610816334629956, "fr": -0.2596260377471344, "whole": -0.004068032855351462, "left": -0.0020397023342165164, "right": -0.00202833052153059, "delta": -3.956444546981963e-13, "corrected": -0.0040680328557734825, "estimatedError": 2.6376296979879754e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 1.484375, "b": 1.5, "fa": -0.25890065550610386, "fm": -0.25745477538802897, "fb": -0.256015475180875, "fl": -0.25817689794286824, "fr": -0.25673429788226737, "whole": -0.004022748000622642, "left": -0.002017009144095841, "right": -0.002005738856898403, "delta": -3.7160205468289575e-13, "corrected": -0.004022748001019018, "estimatedError": 2.477347031219305e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.44529980377477685, "estimatedCumulativeError": 8.660324473069683e-12, "exactCap": -0.4452998037747708, "actualError": -6.050715484207103e-15 }, { "index": 12, "value": -0.030602770560893614, "estimatedError": 2.3897116345946344e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 1.5, "b": 1.53125, "fa": -0.256015475180875, "fm": -0.2531569177850507, "fb": -0.2503255464735544, "fl": -0.2545828318121916, "fr": -0.2517378013166774, "whole": -0.007911295274972042, "left": -0.003977874271392428, "right": -0.003933421014388839, "delta": -1.0809225042818227e-11, "corrected": -0.007911295286501882, "estimatedError": 7.206150028545484e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.53125, "b": 1.5625, "fa": -0.2503255464735544, "fm": -0.24752185796175555, "fb": -0.24474628668484333, "fl": -0.24892021330306757, "fr": -0.24613053284023237, "whole": -0.0077352045052365625, "left": -0.003889396504290573, "right": -0.003845808010436272, "delta": -9.490282691648755e-12, "corrected": -0.007735204515359531, "estimatedError": 6.326855127765836e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.5625, "b": 1.59375, "fa": -0.24474628668484333, "fm": -0.24199920874413205, "fb": -0.23928094564864646, "fl": -0.24336916471612544, "fr": -0.240636457280689, "whole": -0.007562625350573011, "left": -0.003802661860139263, "right": -0.003759963498738371, "delta": -8.304623481947271e-12, "corrected": -0.0075626253594312754, "estimatedError": 5.536415654631514e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.59375, "b": 1.625, "fa": -0.23928094564864646, "fm": -0.23659176786026473, "fb": -0.23393189815060433, "fl": -0.2379327060881881, "fr": -0.23525815734720987, "whole": -0.007393645391876614, "left": -0.003717717546514749, "right": -0.0036759278526034083, "delta": -7.24154330250526e-12, "corrected": -0.007393645399600927, "estimatedError": 4.827695535003507e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.47590257433567046, "estimatedCumulativeError": 1.1050036107664318e-11, "exactCap": -0.47590257433566524, "actualError": -5.218048215738236e-15 }, { "index": 13, "value": -0.027958487307500307, "estimatedError": 1.3622660291479072e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 1.625, "b": 1.65625, "fa": -0.23393189815060433, "fm": -0.2313015147776981, "fb": -0.22870075449035326, "fl": -0.23261301118644753, "fr": -0.22999742474424267, "whole": -0.007228326623707031, "left": -0.0036345975460262826, "right": -0.0035937290839714114, "delta": -6.290663302765953e-12, "corrected": -0.007228326630417071, "estimatedError": 4.1937755351773023e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.65625, "b": 1.6875, "fa": -0.22870075449035326, "fm": -0.2261297153679067, "fb": -0.223588459502892, "fl": -0.2274115150896897, "fr": -0.22485536198292028, "whole": -0.007066708726379542, "left": -0.003553324297440153, "right": -0.003513384434381458, "delta": -5.442068670702405e-12, "corrected": -0.007066708732184415, "estimatedError": 3.62804578046827e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.6875, "b": 1.71875, "fa": -0.223588459502892, "fm": -0.22107701553392772, "fb": -0.21859538103591053, "fl": -0.22232901048198173, "fr": -0.2198324734035047, "whole": -0.0069088119930964245, "left": -0.0034739102004290277, "right": -0.0034349017973537943, "delta": -4.686397971076506e-12, "corrected": -0.006908811998095249, "estimatedError": 3.124265314051004e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.71875, "b": 1.75, "fa": -0.21859538103591053, "fm": -0.21614352477437385, "fb": -0.21372138883063616, "fl": -0.21736573364413775, "fr": -0.21492874636948633, "whole": -0.006754639942521053, "left": -0.003396358959340717, "right": -0.0033582809871951966, "delta": -4.014860492673744e-12, "corrected": -0.006754639946803571, "estimatedError": 2.676573661782496e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.5038610616431708, "estimatedCumulativeError": 1.2412302136812226e-11, "exactCap": -0.5038610616431662, "actualError": -4.551914400963142e-15 }, { "index": 14, "value": -0.025550703062715806, "estimatedError": 7.169421884870945e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 1.75, "b": 1.78125, "fa": -0.21372138883063616, "fm": -0.2113288906041271, "fb": -0.20896592469804182, "fl": -0.21252144107706775, "fr": -0.2101437235395455, "whole": -0.006604181645547845, "left": -0.003320666780580818, "right": -0.0032835148683863307, "delta": -3.4193039025187666e-12, "corrected": -0.006604181649195103, "estimatedError": 2.279535935012511e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.78125, "b": 1.8125, "fa": -0.20896592469804182, "fm": -0.2066323646942344, "fb": -0.20432806482302576, "fl": -0.20779547763428077, "fr": -0.20547656706498724, "whole": -0.006457413793218777, "left": -0.0032468234373161445, "right": -0.0032105903587948156, "delta": -2.89218388821455e-12, "corrected": -0.0064574137963037724, "estimatedError": 1.9281225921430333e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.8125, "b": 1.84375, "fa": -0.20432806482302576, "fm": -0.20205286153336913, "fb": -0.19980657496857923, "fl": -0.20318683698105333, "fr": -0.20092611549985123, "whole": -0.006314302530859799, "left": -0.0031748132142724174, "right": -0.003139489319013941, "delta": -2.4265598211337114e-12, "corrected": -0.006314302533448129, "estimatedError": 1.6177065474224743e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.84375, "b": 1.875, "fa": -0.19980657496857923, "fm": -0.19758901035261534, "fb": -0.1953999592916751, "fl": -0.19869421513713484, "fr": -0.19649093415039595, "whole": -0.006174805081618311, "left": -0.003104615744452432, "right": -0.0030701893391819643, "delta": -2.0160852154393893e-12, "corrected": -0.006174805083768802, "estimatedError": 1.3440568102929263e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.5294117647058866, "estimatedCumulativeError": 1.312924432529932e-11, "exactCap": -0.5294117647058824, "actualError": -4.218847493575595e-15 }, { "index": 15, "value": -0.023374639794159466, "estimatedError": 3.2473589789416835e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 1.875, "b": 1.90625, "fa": -0.1953999592916751, "fm": -0.19323920099565298, "fb": -0.19110650342379507, "fl": -0.1943160577998353, "fr": -0.1921693595313898, "whole": -0.006038871180719177, "left": -0.003036206748663201, "right": -0.0030026644337109564, "delta": -1.6549799725096292e-12, "corrected": -0.006038871182484489, "estimatedError": 1.1033199816730861e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.90625, "b": 1.9375, "fa": -0.19110650342379507, "fm": -0.18900162435868953, "fb": -0.18692431241252683, "fl": -0.19005060208605098, "fr": -0.1879595385395103, "whole": -0.005906444339953541, "left": -0.002969558687829918, "right": -0.002936885653461608, "delta": -1.3379852781270074e-12, "corrected": -0.005906444341380725, "estimatedError": 8.919901854180049e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.9375, "b": 1.96875, "fa": -0.18692431241252683, "fm": -0.18487430796937773, "fb": -0.1828513440670536, "fl": -0.18589591327597071, "fr": -0.18385946289978322, "whole": -0.005777462960193183, "left": -0.0029046413372025713, "right": -0.0028728216240509487, "delta": -1.0603367142647535e-12, "corrected": -0.005777462961324209, "estimatedError": 7.06891142843169e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 1.96875, "b": 2, "fa": -0.1828513440670536, "fm": -0.1808551472219348, "fb": -0.17888543819998315, "fl": -0.18184991708837656, "fr": -0.17986699938978756, "whole": -0.005651861308097791, "left": -0.002841422290735663, "right": -0.0028104390181798652, "delta": -8.17736503511135e-13, "corrected": -0.005651861308970043, "estimatedError": 5.4515766900742336e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.552786404500046, "estimatedCumulativeError": 1.3453980223193488e-11, "exactCap": -0.552786404500042, "actualError": -3.9968028886505635e-15 }, { "index": 16, "value": -0.02141655917006892, "estimatedError": 1.5035057689590421e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2, "b": 2.0625, "fa": -0.17888543819998315, "fm": -0.1750243422109948, "fb": -0.1712657334142952, "fl": -0.17694193273699602, "fr": -0.1731323742695002, "whole": -0.01094008896310685, "left": -0.005529570371661261, "right": -0.00541051860782964, "delta": -1.6384052101137137e-11, "corrected": -0.010940088980583173, "estimatedError": 1.0922701400758092e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.0625, "b": 2.125, "fa": -0.1712657334142952, "fm": -0.16760723847181866, "fb": -0.16404645025740405, "fl": -0.1694241215461464, "fr": -0.16581478237559608, "whole": -0.010476470182905978, "left": -0.0052946325941182265, "right": -0.005181837594956286, "delta": -6.168534433248496e-12, "corrected": -0.010476470189485748, "estimatedError": 4.112356288832331e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.5742029636701149, "estimatedCumulativeError": 1.495748599215253e-11, "exactCap": -0.5742029636701205, "actualError": 5.551115123125783e-15 }, { "index": 17, "value": -0.019658570276426195, "estimatedError": 5.578669470818199e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.125, "b": 2.1875, "fa": -0.16404645025740405, "fm": -0.16058094244367782, "fb": -0.1572082820729, "fl": -0.16230193833950982, "fr": -0.15888315834054598, "whole": -0.010037276063593911, "left": -0.005072058052391256, "right": -0.004965218009785217, "delta": 1.4174373480502211e-12, "corrected": -0.010037276062081978, "estimatedError": 9.449582320334807e-14, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.1875, "b": 2.25, "fa": -0.1572082820729, "fm": -0.15392604034540333, "fb": -0.15073180183426926, "fl": -0.1555560102544209, "fr": -0.15231807090684923, "whole": -0.009621294221758152, "left": -0.004861241476229098, "right": -0.004760052738578487, "delta": 6.950566858177076e-12, "corrected": -0.009621294214344215, "estimatedError": 4.633711238784717e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.5938615339465411, "estimatedCumulativeError": 1.551535293923435e-11, "exactCap": -0.5938615339465525, "actualError": 1.1435297153639112e-14 }, { "index": 18, "value": -0.01808146599531143, "estimatedError": 1.6325649165871427e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.25, "b": 2.3125, "fa": -0.15073180183426926, "fm": -0.14762317231234476, "fb": -0.14459778535741327, "fl": -0.14916693457244634, "fr": -0.14610022017128152, "whole": -0.009227315379594392, "left": -0.004661576627272914, "right": -0.004565738741431688, "delta": 1.0889790805213018e-11, "corrected": -0.009227315367978616, "estimatedError": 7.259860536808679e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.3125, "b": 2.375, "fa": -0.14459778535741327, "fm": -0.14165330788309216, "fb": -0.13878744472667343, "fl": -0.14311557731952987, "fr": -0.14021069137339323, "whole": -0.008854150641838076, "left": -0.004472465638117838, "right": -0.0043816849901215545, "delta": 1.359868294359412e-11, "corrected": -0.008854150627332814, "estimatedError": 9.065788629062747e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6119429999418525, "estimatedCumulativeError": 1.7147917855821492e-11, "exactCap": -0.6119429999418674, "actualError": 1.4876988529977098e-14 }, { "index": 19, "value": -0.016666323704027042, "estimatedError": 2.1184084579110402e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.375, "b": 2.4375, "fa": -0.13878744472667343, "fm": -0.13599794241045965, "fb": -0.13328259218004213, "fl": -0.1373832875899735, "fr": -0.13463113451491357, "whole": -0.008500643818214106, "left": -0.004293325716130349, "right": -0.004207318086719563, "delta": 1.5364194291822564e-11, "corrected": -0.008500643801825632, "estimatedError": 1.0242796194548376e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.4375, "b": 2.5, "fa": -0.13328259218004213, "fm": -0.13063923241123568, "fb": -0.12806575046693228, "fl": -0.131952046694219, "fr": -0.1293438867966054, "whole": -0.00816567991970747, "left": -0.004123593809209135, "right": -0.004042086094086404, "delta": 1.6411932576843036e-11, "corrected": -0.00816567990220141, "estimatedError": 1.0941288384562025e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6286093236458796, "estimatedCumulativeError": 1.9266326313732533e-11, "exactCap": -0.6286093236458962, "actualError": 1.6542323066914832e-14 }, { "index": 20, "value": -0.015395348762114791, "estimatedError": 2.262747049915544e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.5, "b": 2.5625, "fa": -0.12806575046693228, "fm": -0.12556008407579858, "fb": -0.12312022229642516, "fl": -0.12680456722282366, "fr": -0.12433205126961648, "whole": -0.007848190719443248, "left": -0.003962729705385549, "right": -0.003885460997139009, "delta": 1.6918690406986236e-11, "corrected": -0.007848190701396645, "estimatedError": 1.1279126937990825e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.5625, "b": 2.625, "fa": -0.12312022229642516, "fm": -0.12074420612313629, "fb": -0.11843012878307721, "fl": -0.12192435390810108, "fr": -0.11957954222939822, "whole": -0.0075471580788754955, "left": -0.0038102179377706553, "right": -0.003736940124082325, "delta": 1.7022515341746924e-11, "corrected": -0.007547158060718146, "estimatedError": 1.1348343561164616e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6440046724079944, "estimatedCumulativeError": 2.1529073363648078e-11, "exactCap": -0.6440046724080124, "actualError": 1.7985612998927536e-14 }, { "index": 21, "value": -0.014252264505282882, "estimatedError": 2.217166034101936e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.625, "b": 2.6875, "fa": -0.11843012878307721, "fm": -0.11617613576833895, "fb": -0.11398042464167975, "fl": -0.11729573560410744, "fr": -0.11507110559671249, "whole": -0.007261615588522008, "left": -0.0036655687862908646, "right": -0.003596046785400358, "delta": 1.6830785029564588e-11, "corrected": -0.007261615570569171, "estimatedError": 1.1220523353043058e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.6875, "b": 2.75, "fa": -0.11398042464167975, "fm": -0.11184124464977478, "fb": -0.10975689617383204, "fl": -0.11290387567109292, "fr": -0.11079232071896533, "whole": -0.0069906489522355295, "left": -0.0035283186040407613, "right": -0.0034623303317680627, "delta": 1.6426705481964454e-11, "corrected": -0.00699064893471371, "estimatedError": 1.0951136987976303e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6582569369132772, "estimatedCumulativeError": 2.3746239397750013e-11, "exactCap": -0.6582569369132956, "actualError": 1.8318679906315083e-14 }, { "index": 22, "value": -0.013222438145431406, "estimatedError": 2.073167621371071e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.75, "b": 2.8125, "fa": -0.10975689617383204, "fm": -0.10772573004376759, "fb": -0.10574614673891278, "fl": -0.10873476643921469, "fr": -0.10672958859265108, "whole": -0.006733395448831408, "left": -0.0033980296457003043, "right": -0.0033353657872566916, "delta": 1.58744120279386e-11, "corrected": -0.006733395431898702, "estimatedError": 1.0582941351959067e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.8125, "b": 2.875, "fa": -0.10574614673891278, "fm": -0.10381659549536922, "fb": -0.10193557333759555, "fl": -0.10477521215369175, "fr": -0.10287011037778021, "whole": -0.006489042729770678, "left": -0.00327428953567213, "right": -0.003214753178875446, "delta": 1.5223102292627466e-11, "corrected": -0.006489042713532703, "estimatedError": 1.0148734861751643e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6714793750587087, "estimatedCumulativeError": 2.5819407019121082e-11, "exactCap": -0.6714793750587271, "actualError": 1.84297022087776e-14 }, { "index": 23, "value": -0.012292858924434727, "estimatedError": 1.884957583538534e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 2.875, "b": 2.9375, "fa": -0.10193557333759555, "fm": -0.1001016240495734, "fb": -0.09831333709891962, "fl": -0.10101280380097326, "fr": -0.09920185918602416, "whole": -0.006256827152445924, "left": -0.003156710482245114, "right": -0.0031001166556905713, "delta": 1.4510239364218247e-11, "corrected": -0.0062568271369683355, "estimatedError": 9.673492909478832e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 2.9375, "b": 3, "fa": -0.09831333709891962, "fm": -0.09656934652556222, "fb": -0.09486832980505135, "fl": -0.09743588842742545, "fr": -0.09571354742623259, "whole": -0.006036031802148123, "left": -0.0030449283194488737, "right": -0.002991103468935125, "delta": 1.3764124388859766e-11, "corrected": -0.006036031787466391, "estimatedError": 9.17608292590651e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6837722339831435, "estimatedCumulativeError": 2.7704364602659616e-11, "exactCap": -0.6837722339831619, "actualError": 1.84297022087776e-14 }, { "index": 24, "value": -0.011452038913054224, "estimatedError": 1.6838107297356687e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 3, "b": 3.0625, "fa": -0.09486832980505135, "fm": -0.09320900669521344, "fb": -0.0915901380736511, "fl": -0.0940335349440369, "fr": -0.09239459144417443, "whole": -0.005825984319370377, "left": -0.002938601438939648, "right": -0.0028873828674248034, "delta": 1.3005925329767631e-11, "corrected": -0.00582598430549739, "estimatedError": 8.670616886511754e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.0625, "b": 3.125, "fa": -0.0915901380736511, "fm": -0.0900105247725347, "fb": -0.08846900641619265, "fl": -0.09079549792712661, "fr": -0.08923507476607705, "whole": -0.005626054620624818, "left": -0.002837409659139022, "right": -0.00278864494923456, "delta": 1.2251235616267397e-11, "corrected": -0.005626054607556833, "estimatedError": 8.167490410844932e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.6952242728961977, "estimatedCumulativeError": 2.9388175332395286e-11, "exactCap": -0.6952242728962161, "actualError": 1.84297022087776e-14 }, { "index": 25, "value": -0.01068987826626072, "estimatedError": 1.4870412771520828e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.125, "b": 3.1875, "fa": -0.08846900641619265, "fm": -0.08696446026619065, "fb": -0.08549580007786386, "fl": -0.08771218054770717, "fr": -0.08622571092254787, "whole": -0.005435652578737699, "left": -0.002741053067047979, "right": -0.0026945995001783647, "delta": 1.1511356104443315e-11, "corrected": -0.00543565256645892, "estimatedError": 7.674237402962211e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.1875, "b": 3.25, "fa": -0.08549580007786386, "fm": -0.08406197497163581, "fb": -0.08266196832189837, "fl": -0.0847745974685252, "fr": -0.08335780657074443, "whole": -0.005254225711315681, "left": -0.0026492508589770858, "right": -0.0026049748415443324, "delta": 1.0794263052837927e-11, "corrected": -0.0052542256998018, "estimatedError": 7.196175368558618e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7059141511624584, "estimatedCumulativeError": 3.087521660954737e-11, "exactCap": -0.7059141511624768, "actualError": 1.84297022087776e-14 }, { "index": 26, "value": -0.009997519146149214, "estimatedError": 1.3035725855240858e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.25, "b": 3.3125, "fa": -0.08266196832189837, "fm": -0.08129479666574338, "fb": -0.07995950863340903, "fl": -0.08197433832003795, "fr": -0.08062322543234543, "whole": -0.005081256912690426, "left": -0.002561740199311425, "right": -0.0025195167032736154, "delta": 1.0105385278569301e-11, "corrected": -0.005081256901911349, "estimatedError": 6.736923519046201e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.3125, "b": 3.375, "fa": -0.07995950863340903, "fm": -0.0786551839019339, "fb": -0.07738093217318635, "fl": -0.07930353219059895, "fr": -0.07801435341043703, "whole": -0.004916262254315949, "left": -0.0024782751109257224, "right": -0.002437987133942023, "delta": 9.448203504291985e-12, "corrected": -0.004916262244237865, "estimatedError": 6.298802336194657e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7159116703086076, "estimatedCumulativeError": 3.2178789195071456e-11, "exactCap": -0.7159116703086261, "actualError": 1.8540724511240114e-14 }, { "index": 27, "value": -0.009367201793996052, "estimatedError": 1.137369943597181e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.375, "b": 3.4375, "fa": -0.07738093217318635, "fm": -0.07613589217715785, "fb": -0.07491923070116285, "fl": -0.07675481343077126, "fr": -0.07552406512996634, "whole": -0.004758788870656048, "left": -0.002398625406632444, "right": -0.002360163455198886, "delta": 8.824717866173781e-12, "corrected": -0.004758788861243016, "estimatedError": 5.883145244115854e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.4375, "b": 3.5, "fa": -0.07491923070116285, "fm": -0.07373014164537749, "fb": -0.07256784510496776, "fl": -0.07432128896816718, "fr": -0.07314569205611181, "whole": -0.004608412941537922, "left": -0.0023225756678083805, "right": -0.002285837265493711, "delta": 8.235831287783935e-12, "corrected": -0.0046084129327530355, "estimatedError": 5.490554191855957e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7252788721026037, "estimatedCumulativeError": 3.3316159138668636e-11, "exactCap": -0.7252788721026219, "actualError": 1.8207657603852567e-14 }, { "index": 28, "value": -0.0087921297715647, "estimatedError": 9.895445574059637e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.5, "b": 3.5625, "fa": -0.07256784510496776, "fm": -0.07143158647890137, "fb": -0.07032063560540219, "fl": -0.07199650725059795, "fr": -0.0708729922766291, "whole": -0.004464737777353911, "left": -0.0022499242738867756, "right": -0.0022148134957855206, "delta": 7.68161489278496e-12, "corrected": -0.0044647377691601885, "estimatedError": 5.121076595189974e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.5625, "b": 3.625, "fa": -0.07032063560540219, "fm": -0.06923428592389554, "fb": -0.06817185366319196, "fl": -0.0697744288761399, "fr": -0.0687001219830974, "whole": -0.004327392010043503, "left": -0.00218048248455134, "right": -0.0021469095183306096, "delta": 7.1615534683044935e-12, "corrected": -0.004327392002404513, "estimatedError": 4.774368978869663e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7340710018741684, "estimatedCumulativeError": 3.43057036960746e-11, "exactCap": -0.7340710018741865, "actualError": 1.8096635301390052e-14 }, { "index": 29, "value": -0.008266347565481207, "estimatedError": 8.596333136064635e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.625, "b": 3.6875, "fa": -0.06817185366319196, "fm": -0.06713267705558024, "fb": -0.06611611557642844, "fl": -0.06764939892468533, "fr": -0.06662160864820471, "whole": -0.0041960278902285555, "left": -0.002114073575091216, "right": -0.0020819543084626435, "delta": 6.674695518515961e-12, "corrected": -0.00419602788310888, "estimatedError": 4.449797012343974e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.6875, "b": 3.75, "fa": -0.06611611557642844, "fm": -0.06512154920884003, "fb": -0.06414837773286282, "fl": -0.06561612097326268, "fr": -0.06463232586876957, "whole": -0.004070319689006785, "left": -0.002050532024366246, "right": -0.0020197876584207354, "delta": 6.2198041855809905e-12, "corrected": -0.004070319682372327, "estimatedError": 4.14653612372066e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7423373494396496, "estimatedCumulativeError": 3.5165337009681066e-11, "exactCap": -0.7423373494396676, "actualError": 1.7985612998927536e-14 }, { "index": 30, "value": -0.007784631538562728, "estimatedError": 7.463670595915979e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.75, "b": 3.8125, "fa": -0.06414837773286282, "fm": -0.06319602003871475, "fb": -0.062263913463460094, "fl": -0.06366963275422603, "fr": -0.06272746982474563, "whole": -0.003949962201574811, "left": -0.0019897027541066754, "right": -0.0019602594416726947, "delta": 5.795441383737998e-12, "corrected": -0.003949962195393007, "estimatedError": 3.8636275891586655e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.8125, "b": 3.875, "fa": -0.062263913463460094, "fm": -0.06135151315054776, "fb": -0.06045829143160867, "fl": -0.061805283399237104, "fr": -0.06090253729114864, "whole": -0.0038346693489297898, "left": -0.0019314404177653973, "right": -0.0019032289257643281, "delta": 5.400064510135971e-12, "corrected": -0.003834669343169721, "estimatedError": 3.600043006757314e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7501219809782123, "estimatedCumulativeError": 3.5911704069272664e-11, "exactCap": -0.7501219809782304, "actualError": 1.8096635301390052e-14 }, { "index": 31, "value": -0.007342393985436812, "estimatedError": 6.481235108786916e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 3.875, "b": 3.9375, "fa": -0.06045829143160867, "fm": -0.059583737229896676, "fb": -0.05872735548475194, "fl": -0.06001871220116396, "fr": -0.05915330513123254, "whole": -0.003724172873291118, "left": -0.001875608736802923, "right": -0.0018485641314561396, "delta": 5.0320550677718234e-12, "corrected": -0.0037241728679235924, "estimatedError": 3.354703378514549e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 3.9375, "b": 4, "fa": -0.05872735548475194, "fm": -0.057888666596462635, "fb": -0.05706720589090189, "fl": -0.05830582881931036, "fr": -0.05747581119418677, "whole": -0.0036182211225156704, "left": -0.0018220798820752918, "right": -0.001796141235750581, "delta": 4.689797595408551e-12, "corrected": -0.0036182211175132197, "estimatedError": 3.1265317302723674e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.757464374963649, "estimatedCumulativeError": 3.6559827580151354e-11, "exactCap": -0.757464374963667, "actualError": 1.7985612998927536e-14 }, { "index": 32, "value": -0.006935599414828863, "estimatedError": 5.631881535202629e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4, "b": 4.0625, "fa": -0.05706720589090189, "fm": -0.056262523103319445, "fb": -0.055474181880673976, "fl": -0.05666279484977615, "fr": -0.05586633653825624, "whole": -0.003516577918592225, "left": -0.001770733897881906, "right": -0.0017458440163386376, "delta": 4.3716814022987105e-12, "corrected": -0.0035165779139290985, "estimatedError": 2.9144542681991404e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.0625, "b": 4.125, "fa": -0.055474181880673976, "fm": -0.054701759301898856, "fb": -0.05394484541550484, "fl": -0.05508600668144237, "fr": -0.05432138889979587, "whole": -0.0034190215052476484, "left": -0.001721458166189283, "right": -0.0016975633349822245, "delta": 4.076140900505232e-12, "corrected": -0.0034190215008997648, "estimatedError": 2.717427267003488e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.764399974378478, "estimatedCumulativeError": 3.712301573367162e-11, "exactCap": -0.7643999743784957, "actualError": 1.7763568394002505e-14 }, { "index": 33, "value": -0.006560691895956952, "estimatedError": 4.898977924716607e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.125, "b": 4.1875, "fa": -0.05394484541550484, "fm": -0.05320304279393169, "fb": -0.05247596610407487, "fl": -0.053572079558473686, "fr": -0.05283768732983889, "whole": -0.0033253435697427752, "left": -0.001674146908559017, "right": -0.0016511966573820945, "delta": 3.8016638448379325e-12, "corrected": -0.003325343565687667, "estimatedError": 2.534442563225288e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.1875, "b": 4.25, "fa": -0.05247596610407487, "fm": -0.05176324169342489, "fb": -0.05106450719126958, "fl": -0.052117832771862875, "fr": -0.051412147921864035, "whole": -0.003235348334052542, "left": -0.0016287007233591212, "right": -0.0016066476071466178, "delta": 3.546803042236979e-12, "corrected": -0.0032353483302692853, "estimatedError": 2.364535361491319e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7709606662744349, "estimatedCumulativeError": 3.761291352614328e-11, "exactCap": -0.7709606662744528, "actualError": 1.787459069646502e-14 }, { "index": 34, "value": -0.006214532223406243, "estimatedError": 4.2671280282384023e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.25, "b": 4.3125, "fa": -0.05106450719126958, "fm": -0.05037941112442561, "fb": -0.04970761254697805, "fl": -0.050720275905040725, "fr": -0.050041870557270766, "whole": -0.0031488517107911462, "left": -0.0015850261559159275, "right": -0.0015638255515650348, "delta": 3.3101841580285285e-12, "corrected": -0.003148851707260283, "estimatedError": 2.2067894386856857e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.3125, "b": 4.375, "fa": -0.04970761254697805, "fm": -0.04904878068352188, "fb": -0.048402594585414654, "fl": -0.049376596061664474, "fr": -0.048724126598372136, "whole": -0.0030656805194425023, "left": -0.0015430352993601971, "right": -0.0015226452169917973, "delta": 3.0905078843290745e-12, "corrected": -0.0030656805161459605, "estimatedError": 2.0603385895527164e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7771751984978412, "estimatedCumulativeError": 3.803962632896712e-11, "exactCap": -0.7771751984978588, "actualError": 1.7541523789077473e-14 }, { "index": 35, "value": -0.005894343683484966, "estimatedError": 3.722491065394351e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.375, "b": 4.4375, "fa": -0.048402594585414654, "fm": -0.047768742799563835, "fb": -0.04714692304928704, "fl": -0.04808414600716259, "fr": -0.04745634746230391, "whole": -0.002985671758676636, "left": -0.001502645424029317, "right": -0.001483026331760763, "delta": 2.8865555778967433e-12, "corrected": -0.002985671755597643, "estimatedError": 1.9243703852644955e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.4375, "b": 4.5, "fa": -0.04714692304928704, "fm": -0.04653684192679887, "fb": -0.04593821459689187, "fl": -0.046840433159291796, "fr": -0.046236114012986544, "whole": -0.002908671930764316, "left": -0.0014637786334023599, "right": -0.0014448932946647755, "delta": 2.6971810201947832e-12, "corrected": -0.0029086719278873232, "estimatedError": 1.7981206801298556e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7830695421813262, "estimatedCumulativeError": 3.8411875435506556e-11, "exactCap": -0.7830695421813436, "actualError": 1.7430501486614958e-14 }, { "index": 36, "value": -0.005597665291117342, "estimatedError": 3.252850535225467e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.5, "b": 4.5625, "fa": -0.04593821459689187, "fm": -0.045350764511394, "fb": -0.044774223133999015, "fl": -0.0456431093667336, "fr": -0.045061146712057035, "whole": -0.0028345364143381965, "left": -0.0014263615446626057, "right": -0.0014081748671542769, "delta": 2.5213138868385165e-12, "corrected": -0.002834536411648795, "estimatedError": 1.680875924559011e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.5625, "b": 4.625, "fa": -0.044774223133999015, "fm": -0.04420832967508066, "fb": -0.04365283083611412, "fl": -0.044489961418529754, "fr": -0.043929296473437365, "whole": -0.0027631288819837062, "left": -0.0013903249920999932, "right": -0.0013728038875257512, "delta": 2.3579619159996845e-12, "corrected": -0.0027631288794685467, "estimatedError": 1.5719746106664564e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7886672074724436, "estimatedCumulativeError": 3.87371604890291e-11, "exactCap": -0.7886672074724613, "actualError": 1.7763568394002505e-14 }, { "index": 37, "value": -0.005322311477697004, "estimatedError": 2.8475595723979433e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.625, "b": 4.6875, "fa": -0.04365283083611412, "fm": -0.043107480563343056, "fb": -0.04257203981034222, "fl": -0.04337890223086691, "fr": -0.042838536169864536, "whole": -0.002694320759373214, "left": -0.0013556037516819002, "right": -0.0013387170054851222, "delta": 2.2061913927673427e-12, "corrected": -0.0026943207570199433, "estimatedError": 1.470794261844895e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.6875, "b": 4.75, "fa": -0.04257203981034222, "fm": -0.042046276309139125, "fb": -0.04152996434957026, "fl": -0.04230796266131908, "fr": -0.04178695274324061, "whole": -0.002627990722879885, "left": -0.001322136285233113, "right": -0.0013058544355816241, "delta": 2.0651479658295724e-12, "corrected": -0.0026279907206770608, "estimatedError": 1.3767653105530483e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7939895189501406, "estimatedCumulativeError": 3.9021916446268896e-11, "exactCap": -0.7939895189501581, "actualError": 1.7541523789077473e-14 }, { "index": 38, "value": -0.005066337328510615, "estimatedError": 2.4974180709569356e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.75, "b": 4.8125, "fa": -0.04152996434957026, "fm": -0.041022884566560204, "fb": -0.040524823735022, "fl": -0.04127528390411661, "fr": -0.040772739874038344, "whole": -0.002564024232821178, "left": -0.0012898645027739422, "right": -0.0012741597281132062, "delta": 1.9340293255787344e-12, "corrected": -0.002564024230758213, "estimatedError": 1.2893528837191562e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.8125, "b": 4.875, "fa": -0.040524823735022, "fm": -0.04003557457209007, "fb": -0.039554935546407155, "fl": -0.040279110423303184, "fr": -0.039794191168208516, "whole": -0.0025023130996853064, "left": -0.0012587335416683583, "right": -0.0012435795562048505, "delta": 1.8120977808566696e-12, "corrected": -0.002502313097752402, "estimatedError": 1.2080651872377796e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.7990558562786512, "estimatedCumulativeError": 3.927165825336459e-11, "exactCap": -0.7990558562786685, "actualError": 1.7319479184152442e-14 }, { "index": 39, "value": -0.004828008583147303, "estimatedError": 2.194518293937205e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 4.875, "b": 4.9375, "fa": -0.039554935546407155, "fm": -0.039082710694197324, "fb": -0.038618709441867495, "fl": -0.03931778338376473, "fr": -0.03884969382306383, "whole": -0.0024427550808860826, "left": -0.0012286915613315802, "right": -0.001214063517855834, "delta": 1.6986685495712361e-12, "corrected": -0.0024427550790741695, "estimatedError": 1.1324456997141575e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 4.9375, "b": 5, "fa": -0.038618709441867495, "fm": -0.03816274643489, "fb": -0.03771464137272768, "fl": -0.03838973454305199, "fr": -0.037937722736462585, "whole": -0.00238525350577245, "left": -0.0011996895523383618, "right": -0.0011855639518409792, "delta": 1.5931088913345715e-12, "corrected": -0.002385253504073134, "estimatedError": 1.0620725942230476e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8038838648617985, "estimatedCumulativeError": 3.9491110082758314e-11, "exactCap": -0.8038838648618158, "actualError": 1.7319479184152442e-14 }, { "index": 40, "value": -0.004605775718536775, "estimatedError": 3.0900491656179104e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5, "b": 5.125, "fa": -0.03771464137272768, "fm": -0.036841308200679934, "fb": -0.03599736268747552, "fl": -0.03727421884957288, "fr": -0.036415743354080134, "whole": -0.004605775767977561, "left": -0.0023297169267885325, "right": -0.0022760587948382916, "delta": 4.6350737484268656e-11, "corrected": -0.004605775718536775, "estimatedError": 3.0900491656179104e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8084896405803353, "estimatedCumulativeError": 4.2581159248376224e-11, "exactCap": -0.8084896405803517, "actualError": 1.63202784619898e-14 }, { "index": 41, "value": -0.004398251529654521, "estimatedError": 2.725862302081309e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.125, "b": 5.25, "fa": -0.03599736268747552, "fm": -0.035181528829473695, "fb": -0.03439259751150895, "fl": -0.035586008890116164, "fr": -0.03478377342253008, "whole": -0.004398251573268318, "left": -0.0022241971570563946, "right": -0.0021740543753239893, "delta": 4.088793453121964e-11, "corrected": -0.004398251529654521, "estimatedError": 2.725862302081309e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8128878921099899, "estimatedCumulativeError": 4.530702155045753e-11, "exactCap": -0.8128878921100047, "actualError": 1.4765966227514582e-14 }, { "index": 42, "value": -0.004204191707003686, "estimatedError": 2.4092758459567004e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.25, "b": 5.375, "fa": -0.03439259751150895, "fm": -0.03362942245649635, "fb": -0.03289091644900648, "fl": -0.03400785974388291, "fr": -0.033257151563651124, "whole": -0.0042041917455521, "left": -0.0021255568639951764, "right": -0.002078634845417785, "delta": 3.613913768935051e-11, "corrected": -0.004204191707003686, "estimatedError": 2.4092758459567004e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8170920838169936, "estimatedCumulativeError": 4.771629739641423e-11, "exactCap": -0.8170920838170075, "actualError": 1.3877787807814457e-14 }, { "index": 43, "value": -0.004022477983010134, "estimatedError": 2.1335767065126337e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.375, "b": 5.5, "fa": -0.03289091644900648, "fm": -0.032176047812717455, "fb": -0.031483837123197043, "fl": -0.03253058986115207, "fr": -0.031827169482887364, "whole": -0.004022478017147361, "left": -0.0020332221219409607, "right": -0.00198925586320275, "delta": 3.2003650597689504e-11, "corrected": -0.004022477983010134, "estimatedError": 2.1335767065126337e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8211145618000038, "estimatedCumulativeError": 4.9849874102926865e-11, "exactCap": -0.821114561800017, "actualError": 1.3211653993039363e-14 }, { "index": 44, "value": -0.003852103482489376, "estimatedError": 1.893044488526785e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.5, "b": 5.625, "fa": -0.031483837123197043, "fm": -0.03081335413889753, "fb": -0.03016371493456104, "fl": -0.031145935966486397, "fr": -0.030485982574803408, "whole": -0.0038521035127780877, "left": -0.0019466764075837517, "right": -0.0019054270767986687, "delta": 2.8395667327901775e-11, "corrected": -0.003852103482489376, "estimatedError": 1.893044488526785e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8249666652824931, "estimatedCumulativeError": 5.174291859145365e-11, "exactCap": -0.8249666652825054, "actualError": 1.2323475573339238e-14 }, { "index": 45, "value": -0.0036921599662474037, "estimatedError": 1.682804185350791e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.625, "b": 5.75, "fa": -0.03016371493456104, "fm": -0.029534079222447725, "fb": -0.028923647847917046, "fl": -0.029846447524985744, "fr": -0.02922651139849587, "whole": -0.0036921599931722705, "left": -0.0018654540026765804, "right": -0.0018267059652536275, "delta": 2.5242062780261865e-11, "corrected": -0.0036921599662474037, "estimatedError": 1.682804185350791e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8286588252487405, "estimatedCumulativeError": 5.342572277680444e-11, "exactCap": -0.8286588252487522, "actualError": 1.176836406102666e-14 }, { "index": 46, "value": -0.003541826702886221, "estimatedError": 1.4986979828453724e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.75, "b": 5.875, "fa": -0.028923647847917046, "fm": -0.028331660446922764, "fb": -0.02775739325393055, "fl": -0.028625394719143403, "fr": -0.028042355687171384, "whole": -0.0035418267268653887, "left": -0.0017891342413688897, "right": -0.0017526924630160295, "delta": 2.2480469742680587e-11, "corrected": -0.003541826702886221, "estimatedError": 1.4986979828453724e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8322006519516267, "estimatedCumulativeError": 5.4924420759649815e-11, "exactCap": -0.832200651951638, "actualError": 1.1213252548714081e-14 }, { "index": 47, "value": -0.0034003607430052275, "estimatedError": 1.3371758850651745e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.875, "b": 6, "fa": -0.02775739325393055, "fm": -0.02720015704964121, "fb": -0.026659295238706603, "fl": -0.027476688058352156, "fr": -0.02692771915788563, "whole": -0.003400360764400042, "left": -0.0017173364847602125, "right": -0.001683024259582191, "delta": 2.005763827597762e-11, "corrected": -0.0034003607430052275, "estimatedError": 1.3371758850651745e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8356010126946319, "estimatedCumulativeError": 5.626159664471499e-11, "exactCap": -0.835601012694643, "actualError": 1.1102230246251565e-14 }, { "index": 48, "value": -0.003267088403205523, "estimatedError": 1.1952040630351193e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 6, "b": 6.125, "fa": -0.026659295238706603, "fm": -0.0261341820483658, "fb": -0.02562422083961203, "fl": -0.02639480801966556, "fr": -0.025877343642189334, "whole": -0.003267088422328788, "left": -0.0016497157225597357, "right": -0.0016173726818409912, "delta": 1.792806094552679e-11, "corrected": -0.003267088403205523, "estimatedError": 1.1952040630351193e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8388681010978375, "estimatedCumulativeError": 5.745680070775011e-11, "exactCap": -0.8388681010978478, "actualError": 1.0325074129013956e-14 }, { "index": 49, "value": -0.0031413977954796606, "estimatedError": 1.0701856067996118e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.125, "b": 6.25, "fa": -0.02562422083961203, "fm": -0.025128842523127585, "fb": -0.024647504072803875, "fl": -0.02537474335304186, "fr": -0.024886451274486687, "whole": -0.0031413978126026303, "left": -0.0015859587164052818, "right": -0.0015554390801445644, "delta": 1.6052784101994177e-11, "corrected": -0.0031413977954796606, "estimatedError": 1.0701856067996118e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8420094988933171, "estimatedCumulativeError": 5.852698631454973e-11, "exactCap": -0.842009498893327, "actualError": 9.880984919163893e-15 }, { "index": 50, "value": -0.0030227322614612257, "estimatedError": 9.598947215786838e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.25, "b": 6.375, "fa": -0.024647504072803875, "fm": -0.024179687130195776, "fb": -0.023724896693751014, "fl": -0.024411936883252827, "fr": -0.02395069365811746, "whole": -0.0030227322768195414, "left": -0.0015257806118334476, "right": -0.0014969516505876732, "delta": 1.4398420823680258e-11, "corrected": -0.0030227322614612257, "estimatedError": 9.598947215786838e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8450322311547783, "estimatedCumulativeError": 5.948688103612841e-11, "exactCap": -0.8450322311547881, "actualError": 9.769962616701378e-15 }, { "index": 51, "value": -0.002910584591271099, "estimatedError": 8.62421100968532e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.375, "b": 6.5, "fa": -0.023724896693751014, "fm": -0.023282659887107697, "fb": -0.02285252480117035, "fl": -0.023502237809355828, "fr": -0.023066107084564472, "whole": -0.0029105846050698366, "left": -0.0014689219564404377, "right": -0.0014416626356930824, "delta": 1.2936316514527979e-11, "corrected": -0.002910584591271099, "estimatedError": 8.62421100968532e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8479428157460495, "estimatedCumulativeError": 6.034930213709694e-11, "exactCap": -0.8479428157460591, "actualError": 9.658940314238862e-15 }, { "index": 52, "value": -0.002804491923890275, "estimatedError": 7.761218461891743e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.5, "b": 6.625, "fa": -0.02285252480117035, "fm": -0.022434059405059638, "fb": -0.022026850521385893, "fl": -0.022641859645764394, "fr": -0.022229073013060253, "whole": -0.0028044919363082246, "left": -0.0014151460707217455, "right": -0.0013893458539446515, "delta": 1.1641827692837614e-11, "corrected": -0.002804491923890275, "estimatedError": 7.761218461891743e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8507473076699398, "estimatedCumulativeError": 6.112542398328611e-11, "exactCap": -0.850747307669949, "actualError": 9.2148511043888e-15 }, { "index": 53, "value": -0.0027040312405889207, "estimatedError": 6.995823191580097e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.625, "b": 6.75, "fa": -0.022026850521385893, "fm": -0.021630502861623626, "fb": -0.021244638117667018, "fl": -0.021827343070472866, "fr": -0.021436283129876176, "whole": -0.002704031251782238, "left": -0.0013642367256760518, "right": -0.0013397945156124514, "delta": 1.0493734787370146e-11, "corrected": -0.0027040312405889207, "estimatedError": 6.995823191580097e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8534513389105287, "estimatedCumulativeError": 6.182500630244412e-11, "exactCap": -0.8534513389105376, "actualError": 8.881784197001252e-15 }, { "index": 54, "value": -0.0026088153753517688, "estimatedError": 6.315818527891093e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.75, "b": 6.875, "fa": -0.021244638117667018, "fm": -0.020868894105925042, "fb": -0.020502923960572593, "fl": -0.021055523049261223, "fr": -0.02068470840181677, "whole": -0.0026088153854570786, "left": -0.0013159960877149682, "right": -0.0012928192882683826, "delta": 9.473727791836639e-12, "corrected": -0.0026088153753517688, "estimatedError": 6.315818527891093e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8560601542858804, "estimatedCumulativeError": 6.245658815523323e-11, "exactCap": -0.8560601542858892, "actualError": 8.770761894538737e-15 }, { "index": 55, "value": -0.002518489476801402, "estimatedError": 5.710660532417163e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.875, "b": 7, "fa": -0.020502923960572593, "fm": -0.02014639537281252, "fb": -0.01979898987322333, "fl": -0.02032349969256503, "fr": -0.01997157161951896, "whole": -0.002518489485938459, "left": -0.0012702428969129712, "right": -0.0012482465804594968, "delta": 8.565990798625744e-12, "corrected": -0.002518489476801402, "estimatedError": 5.710660532417163e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8585786437626819, "estimatedCumulativeError": 6.302765420847494e-11, "exactCap": -0.8585786437626903, "actualError": 8.43769498715119e-15 }, { "index": 56, "value": -0.00243272786512096, "estimatedError": 5.171219066383663e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7, "b": 7.125, "fa": -0.01979898987322333, "fm": -0.01946040215447067, "fb": -0.01913033943184969, "fl": -0.019628612376539976, "fr": -0.019294322995270407, "whole": -0.0024327278733949106, "left": -0.0012268108493109782, "right": -0.001205917016327104, "delta": 7.756828599575494e-12, "corrected": -0.00243272786512096, "estimatedError": 5.171219066383663e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8610113716278028, "estimatedCumulativeError": 6.354477611511331e-11, "exactCap": -0.8610113716278112, "actualError": 8.326672684688674e-15 }, { "index": 57, "value": -0.002351231235157791, "estimatedError": 4.689575984484496e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.125, "b": 7.25, "fa": -0.01913033943184969, "fm": -0.01880852083929893, "fb": -0.018494676858687983, "fl": -0.01896841672369605, "fr": -0.018650618439062037, "whole": -0.0023512312426611126, "left": -0.0011855471579784668, "right": -0.0011656840776482818, "delta": 7.034363976726743e-12, "corrected": -0.002351231235157791, "estimatedError": 4.689575984484496e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8633626028629606, "estimatedCumulativeError": 6.401373371356176e-11, "exactCap": -0.8633626028629691, "actualError": 8.43769498715119e-15 }, { "index": 58, "value": -0.0022737241634530453, "estimatedError": 4.258856288463786e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.25, "b": 7.375, "fa": -0.018494676858687983, "fm": -0.018188548780330858, "fb": -0.01788988819281491, "fl": -0.018340664093020598, "fr": -0.018038300187032594, "whole": -0.0022737241702672152, "left": -0.001146311270948971, "right": -0.0011274128929299597, "delta": 6.388284432695679e-12, "corrected": -0.0022737241634530453, "estimatedError": 4.258856288463786e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8656363270264137, "estimatedCumulativeError": 6.443961934240814e-11, "exactCap": -0.865636327026422, "actualError": 8.326672684688674e-15 }, { "index": 59, "value": -0.002199952882560212, "estimatedError": 3.8730763388117316e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.375, "b": 7.5, "fa": -0.01788988819281491, "fm": -0.017598456500363825, "fb": -0.017314024466072223, "fl": -0.01774328327617855, "fr": -0.017455379499658214, "whole": -0.002199952888757134, "left": -0.001108973727061385, "right": -0.0010909791558861345, "delta": 5.809614508217598e-12, "corrected": -0.002199952882560212, "estimatedError": 3.8730763388117316e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8678362799089739, "estimatedCumulativeError": 6.482692697628931e-11, "exactCap": -0.8678362799089822, "actualError": 8.215650382226158e-15 }, { "index": 60, "value": -0.0021296832908318367, "estimatedError": 3.5270215567595466e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.5, "b": 7.625, "fa": -0.017314024466072223, "fm": -0.017036371779459495, "fb": -0.01676528664689322, "fl": -0.017174364136372185, "fr": -0.01690002118408564, "whole": -0.0021296832964750713, "left": -0.0010734151332397965, "right": -0.0010562681579447425, "delta": 5.29053233513932e-12, "corrected": -0.0021296832908318367, "estimatedError": 3.5270215567595466e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8699659631998058, "estimatedCumulativeError": 6.517962913196527e-11, "exactCap": -0.8699659631998136, "actualError": 7.771561172376096e-15 }, { "index": 61, "value": -0.002062699169989483, "estimatedError": 3.2161380040622116e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.625, "b": 7.75, "fa": -0.01676528664689322, "fm": -0.016500565403527668, "fb": -0.01624201214549069, "fl": -0.01663214296077298, "fr": -0.01637052972683353, "whole": -0.0020626991751353037, "left": -0.0010395252488907584, "right": -0.0010231739214203383, "delta": 4.824207006093317e-12, "corrected": -0.002062699169989483, "estimatedError": 3.2161380040622116e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8720286623697953, "estimatedCumulativeError": 6.550124293237149e-11, "exactCap": -0.8720286623698034, "actualError": 8.104628079763643e-15 }, { "index": 62, "value": -0.0019988005863491812, "estimatedError": 2.9364447794629396e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.75, "b": 7.875, "fa": -0.01624201214549069, "fm": -0.015989438381135302, "fb": -0.015742662700247767, "fl": -0.016114989326953877, "fr": -0.015865336850471676, "whole": -0.001998800591047493, "left": -0.0010072021649420988, "right": -0.0009915984217007269, "delta": 4.4046671691944095e-12, "corrected": -0.0019988005863491812, "estimatedError": 2.9364447794629396e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8740274629561444, "estimatedCumulativeError": 6.579488741031778e-11, "exactCap": -0.8740274629561524, "actualError": 7.993605777301127e-15 }, { "index": 63, "value": -0.0019378024546392802, "estimatedError": 2.6844539322927e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.875, "b": 8, "fa": -0.015742662700247767, "fm": -0.015501510460175288, "fb": -0.015265813487902584, "fl": -0.015621394309168883, "fr": -0.015382990331491306, "whole": -0.0019378024589344065, "left": -0.0009763515666364435, "right": -0.0009614508882712821, "delta": 4.02668089843905e-12, "corrected": -0.0019378024546392802, "estimatedError": 2.6844539322927e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.8759652654107837, "estimatedCumulativeError": 6.606333280354705e-11, "exactCap": -0.8759652654107917, "actualError": 7.993605777301127e-15 } ], "force": { "imageField": { "potential": -0.5, "ex": 0, "ez": -0.25, "terms": [ { "role": "image", "distance": 2, "potential": -0.5, "ex": 0, "ez": -0.25 } ] }, "force": -0.25, "expectedForce": -0.25, "forceResidual": 0, "energy": -0.25, "groundEnergy": -0.25, "energyScope": "U(infty)=0的相互作用能；去除点源自能和与间距无关的导体自能。孤立球保持Q固定。" }, "forceScan": [ { "gap": 0.05, "d": 0.05, "force": -99.99999999999999, "energy": -5, "step": 0.0001, "energySamples": [ -5.02008032128514, -5.01002004008016, -4.99001996007984, -4.9800796812749 ], "negativeNumericalDerivative": -99.99999999360223, "derivativeResidual": -6.3977552144933725e-9 }, { "gap": 0.13229166666666667, "d": 0.13229166666666667, "force": -14.284828569657138, "energy": -1.889763779527559, "step": 0.0001, "energySamples": [ -1.8926250709734402, -1.8911933429994325, -1.8883363756530498, -1.8869111264859424 ], "negativeNumericalDerivative": -14.284828569637492, "derivativeResidual": -1.964650664376677e-11 }, { "gap": 0.21458333333333335, "d": 0.21458333333333335, "force": -5.429352436610424, "energy": -1.1650485436893203, "step": 0.0001, "energySamples": [ -1.166135427194278, -1.1655917320693137, -1.1645058613461687, -1.1639636843330488 ], "negativeNumericalDerivative": -5.429352436607803, "derivativeResidual": -2.6210145165350696e-12 }, { "gap": 0.29687500000000006, "d": 0.29687500000000006, "force": -2.8365650969529077, "energy": -0.8421052631578946, "step": 0.0001, "energySamples": [ -0.8426729586247576, -0.842389015247241, -0.8418217021634816, -0.8415383320710257 ], "negativeNumericalDerivative": -2.8365650969523295, "derivativeResidual": -5.782041512247815e-13 }, { "gap": 0.37916666666666665, "d": 0.37916666666666665, "force": -1.7389204202391015, "energy": -0.6593406593406593, "step": 0.0001, "energySamples": [ -0.6596886269680711, -0.6595145972564193, -0.6591668131481807, -0.6589930586064494 ], "negativeNumericalDerivative": -1.7389204202387467, "derivativeResidual": -3.5482727867020003e-13 }, { "gap": 0.4614583333333333, "d": 0.4614583333333333, "force": -1.1740187211145026, "energy": -0.5417607223476298, "step": 0.0001, "energySamples": [ -0.5419956279019349, -0.541878149666745, -0.5416433459114955, -0.5415260203252766 ], "negativeNumericalDerivative": -1.1740187211142783, "derivativeResidual": -2.2426505097428162e-13 }, { "gap": 0.5437500000000001, "d": 0.5437500000000001, "force": -0.8455542343770642, "energy": -0.4597701149425287, "step": 0.0001, "energySamples": [ -0.4599392880139821, -0.45985468591924944, -0.45968557506665436, -0.4596010662744737 ], "negativeNumericalDerivative": -0.8455542343766923, "derivativeResidual": -3.7192471324942744e-13 }, { "gap": 0.6260416666666667, "d": 0.6260416666666667, "force": -0.6378719881727901, "energy": -0.39933444259567386, "step": 0.0001, "energySamples": [ -0.3994620577622135, -0.3993982399850891, -0.3992706655841995, -0.39920690894090405 ], "negativeNumericalDerivative": -0.6378719881729629, "derivativeResidual": 1.7275070263167436e-13 }, { "gap": 0.7083333333333334, "d": 0.7083333333333334, "force": -0.4982698961937716, "energy": -0.3529411764705882, "step": 0.0001, "energySamples": [ -0.3530408585953681, -0.35299101049559933, -0.3528913565143744, -0.35284155062100114 ], "negativeNumericalDerivative": -0.49826989619356865, "derivativeResidual": -2.0294876890147862e-13 }, { "gap": 0.7906250000000001, "d": 0.7906250000000001, "force": -0.3999437579090439, "energy": -0.3162055335968379, "step": 0.0001, "energySamples": [ -0.31628554258784825, -0.3162455330318459, -0.3161655442789844, -0.3161255650744475 ], "negativeNumericalDerivative": -0.3999437579092768, "derivativeResidual": 2.328692794151266e-13 }, { "gap": 0.8729166666666667, "d": 0.8729166666666667, "force": -0.32809109084591676, "energy": -0.2863961813842482, "step": 0.0001, "energySamples": [ -0.28646181464010845, -0.2864289942523248, -0.28636337603329454, -0.2863305781968809 ], "negativeNumericalDerivative": -0.3280910908456946, "derivativeResidual": -2.2215562722749382e-13 }, { "gap": 0.9552083333333334, "d": 0.9552083333333334, "force": -0.2739957354656797, "energy": -0.26172300981461283, "step": 0.0001, "energySamples": [ -0.261777820437867, -0.26175041225689927, -0.2616956131092055, -0.261668222138876 ], "negativeNumericalDerivative": -0.27399573546587247, "derivativeResidual": 1.9279022822615843e-13 }, { "gap": 1.0375, "d": 1.0375, "force": -0.23225431847873418, "energy": -0.24096385542168672, "step": 0.00010375000000000001, "energySamples": [ -0.24101205783325336, -0.24098795421710845, -0.24093976144554216, -0.2409156722872293 ], "negativeNumericalDerivative": -0.23225431847893663, "derivativeResidual": 2.024491685403973e-13 }, { "gap": 1.1197916666666667, "d": 1.1197916666666667, "force": -0.1993726338561384, "energy": -0.22325581395348837, "step": 0.00011197916666666668, "energySamples": [ -0.22330047404829803, -0.2232781417676651, -0.22323349060442793, -0.2232111717191445 ], "negativeNumericalDerivative": -0.19937263385596124, "derivativeResidual": -1.7716383915455935e-13 }, { "gap": 1.2020833333333334, "d": 1.2020833333333334, "force": -0.1730098609613461, "energy": -0.20797227036395147, "step": 0.00012020833333333335, "energySamples": [ -0.2080138731385792, -0.20799306967091857, -0.20795147521642982, -0.20793068422710603 ], "negativeNumericalDerivative": -0.1730098609614407, "derivativeResidual": 9.459100169806334e-14 }, { "gap": 1.284375, "d": 1.284375, "force": -0.15155013290236263, "energy": -0.194647201946472, "step": 0.0001284375, "energySamples": [ -0.19468613917430688, -0.19466666861333334, -0.19462773917255477, -0.1946082802904139 ], "negativeNumericalDerivative": -0.15155013290226405, "derivativeResidual": -9.85878045867139e-14 }, { "gap": 1.3666666666666667, "d": 1.3666666666666667, "force": -0.1338488994646044, "energy": -0.18292682926829268, "step": 0.00013666666666666666, "energySamples": [ -0.18296342195268323, -0.18294512378067074, -0.18290853841445123, -0.18289025121804905 ], "negativeNumericalDerivative": -0.13384889946455375, "derivativeResidual": -5.065392549852277e-14 }, { "gap": 1.4489583333333336, "d": 1.4489583333333336, "force": -0.1190770905290816, "energy": -0.17253774263120056, "step": 0.00014489583333333336, "energySamples": [ -0.17257225708261706, -0.17255499813101366, -0.17252049058214233, -0.17250324198280398 ], "negativeNumericalDerivative": -0.119077090529086, "derivativeResidual": 4.399258735077183e-15 }, { "gap": 1.5312500000000002, "d": 1.5312500000000002, "force": -0.10662224073302787, "energy": -0.16326530612244897, "step": 0.00015312500000000002, "energySamples": [ -0.16329796571559207, -0.16328163428587755, -0.16324898122432652, -0.16323265959053085 ], "negativeNumericalDerivative": -0.10662224073315364, "derivativeResidual": 1.2577439090222242e-13 }, { "gap": 1.6135416666666667, "d": 1.6135416666666667, "force": -0.09602396598150954, "energy": -0.15493867010974824, "step": 0.00016135416666666666, "energySamples": [ -0.15496966404255674, -0.15495416552630087, -0.154923177791969, -0.15490768857203382 ], "negativeNumericalDerivative": -0.09602396598156966, "derivativeResidual": 6.011857678345223e-14 }, { "gap": 1.6958333333333333, "d": 1.6958333333333333, "force": -0.08693079946151198, "energy": -0.14742014742014742, "step": 0.00016958333333333333, "energySamples": [ -0.14744963734761693, -0.14743489090923834, -0.1474054068794595, -0.1473906692862902 ], "negativeNumericalDerivative": -0.08693079946146448, "derivativeResidual": -4.7503667666148885e-14 }, { "gap": 1.7781250000000002, "d": 1.7781250000000002, "force": -0.07907067250224702, "energy": -0.14059753954305798, "step": 0.00017781250000000002, "energySamples": [ -0.1406256646759932, -0.1406116007031283, -0.1405834811949385, -0.14056942565792638 ], "negativeNumericalDerivative": -0.07907067250229755, "derivativeResidual": 5.052902540825244e-14 }, { "gap": 1.8604166666666668, "d": 1.8604166666666668, "force": -0.07223032444708062, "energy": -0.13437849944008956, "step": 0.00018604166666666668, "energySamples": [ -0.13440538051619283, -0.13439193863395296, -0.13436506293379621, -0.1343516291142667 ], "negativeNumericalDerivative": -0.0722303244469446, "derivativeResidual": -1.360161983043895e-13 }, { "gap": 1.9427083333333335, "d": 1.9427083333333335, "force": -0.06624068310704452, "energy": -0.128686327077748, "step": 0.00019427083333333335, "energySamples": [ -0.12871206949164632, -0.12869919699744772, -0.1286734597317748, -0.12866059495875623 ], "negativeNumericalDerivative": -0.06624068310702994, "derivativeResidual": -1.4585554986012994e-14 }, { "gap": 2.0250000000000004, "d": 2.0250000000000004, "force": -0.060966316110349, "energy": -0.12345679012345677, "step": 0.00020250000000000004, "energySamples": [ -0.12348148642074093, -0.12346913703716048, -0.12344444567888889, -0.1234321037027162 ], "negativeNumericalDerivative": -0.06096631611025727, "derivativeResidual": -9.173217740965356e-14 }, { "gap": 2.1072916666666663, "d": 2.1072916666666663, "force": -0.05629770735894604, "energy": -0.11863568956994565, "step": 0.00021072916666666665, "energySamples": [ -0.11865942145423648, -0.11864755432537819, -0.11862382718722692, -0.11861196717651035 ], "negativeNumericalDerivative": -0.056297707358984775, "derivativeResidual": 3.873290577161015e-14 }, { "gap": 2.189583333333333, "d": 2.189583333333333, "force": -0.052145525850510736, "energy": -0.11417697431018078, "step": 0.00021895833333333332, "energySamples": [ -0.1141998142730354, -0.11418839314949573, -0.11416555775440534, -0.11415414348148448 ], "negativeNumericalDerivative": -0.05214552585050904, "derivativeResidual": -1.6930901125533637e-15 }, { "gap": 2.271875, "d": 2.271875, "force": -0.04843632042896417, "energy": -0.11004126547455295, "step": 0.0002271875, "energySamples": [ -0.11006327813017898, -0.11005227070162313, -0.11003026244830812, -0.11001926162222851 ], "negativeNumericalDerivative": -0.04843632042900879, "derivativeResidual": 4.4624026696027386e-14 }, { "gap": 2.3541666666666665, "d": 2.3541666666666665, "force": -0.04510924896233065, "energy": -0.10619469026548674, "step": 0.00023541666666666665, "energySamples": [ -0.10621593345217717, -0.10620531079656638, -0.10618407185830091, -0.10617345557437186 ], "negativeNumericalDerivative": -0.04510924896228777, "derivativeResidual": -4.288236432614667e-14 }, { "gap": 2.4364583333333334, "d": 2.4364583333333334, "force": -0.04211356734999463, "energy": -0.10260795211628901, "step": 0.00024364583333333334, "energySamples": [ -0.10262847781185137, -0.10261821393768278, -0.1025976923470543, -0.10258743462936315 ], "negativeNumericalDerivative": -0.042113567350002025, "derivativeResidual": 7.396860901565105e-15 }, { "gap": 2.51875, "d": 2.51875, "force": -0.03940668312716661, "energy": -0.09925558312655088, "step": 0.000251875, "energySamples": [ -0.09927543821419371, -0.09926550967751863, -0.09924565856069481, -0.099235735979355 ], "negativeNumericalDerivative": -0.03940668312715294, "derivativeResidual": -1.366962099069724e-14 }, { "gap": 2.6010416666666667, "d": 2.6010416666666667, "force": -0.03695263310766672, "energy": -0.0961153384060873, "step": 0.0002601041666666667, "energySamples": [ -0.09613456531915114, -0.09612495090117743, -0.09610572783330397, -0.09609611918225085 ], "negativeNumericalDerivative": -0.03695263310769481, "derivativeResidual": 2.808864252301646e-14 }, { "gap": 2.683333333333333, "d": 2.683333333333333, "force": -0.0347208826819953, "energy": -0.09316770186335405, "step": 0.0002683333333333333, "energySamples": [ -0.09318633913118028, -0.09317701956531058, -0.09315838602475156, -0.09314907204894425 ], "negativeNumericalDerivative": -0.03472088268203615, "derivativeResidual": 4.0849268412301853e-14 }, { "gap": 2.7656249999999996, "d": 2.7656249999999996, "force": -0.032685371381148465, "energy": -0.09039548022598871, "step": 0.00027656249999999995, "energySamples": [ -0.09041356293857644, -0.09040452067805652, -0.09038644158183054, -0.0903774047450397 ], "negativeNumericalDerivative": -0.032685371381096597, "derivativeResidual": -5.186823193170653e-14 }, { "gap": 2.847916666666667, "d": 2.847916666666667, "force": -0.030823748628048857, "energy": -0.08778346744696415, "step": 0.0002847916666666667, "energySamples": [ -0.08780102765249465, -0.08779224667163131, -0.08777468997796635, -0.08776591426411133 ], "negativeNumericalDerivative": -0.030823748628052892, "derivativeResidual": 4.034966805122053e-15 }, { "gap": 2.9302083333333333, "d": 2.9302083333333333, "force": -0.02911675756596544, "energy": -0.08531816565943832, "step": 0.00029302083333333334, "energySamples": [ -0.08533523270597952, -0.08532669832927126, -0.08530963469596872, -0.08530110543835065 ], "negativeNumericalDerivative": -0.02911675756598048, "derivativeResidual": 1.5040052536718918e-14 }, { "gap": 3.0125, "d": 3.0125, "force": -0.02754773505965806, "energy": -0.08298755186721991, "step": 0.00030125000000000003, "energySamples": [ -0.08300415269775946, -0.08299585145236515, -0.08297925394182573, -0.08297095767568478 ], "negativeNumericalDerivative": -0.02754773505968668, "derivativeResidual": 2.8619467906665363e-14 }, { "gap": 3.0947916666666666, "d": 3.0947916666666666, "force": -0.02610220349499895, "energy": -0.08078088185796028, "step": 0.00030947916666666667, "energySamples": [ -0.08079704126621352, -0.08078896075403569, -0.08077280457750254, -0.08076472891217784 ], "negativeNumericalDerivative": -0.02610220349498376, "derivativeResidual": -1.5189238755652923e-14 }, { "gap": 3.177083333333333, "d": 3.177083333333333, "force": -0.02476753560870734, "energy": -0.07868852459016394, "step": 0.0003177083333333333, "energySamples": [ -0.0787042654432526, -0.0786963942295869, -0.07868065652451149, -0.0786727900321575 ], "negativeNumericalDerivative": -0.02476753560868968, "derivativeResidual": -1.766295443239585e-14 }, { "gap": 3.259375, "d": 3.259375, "force": -0.023532677788921073, "energy": -0.07670182166826463, "step": 0.0003259375, "energySamples": [ -0.07671716510128487, -0.07670949261752638, -0.07669415225303931, -0.07668648437139035 ], "negativeNumericalDerivative": -0.023532677788940134, "derivativeResidual": 1.9061141554033156e-14 }, { "gap": 3.3416666666666663, "d": 3.3416666666666663, "force": -0.02238792047313139, "energy": -0.07481296758104738, "step": 0.00033416666666666664, "energySamples": [ -0.07482793316768092, -0.07482044962600999, -0.07480548703234416, -0.07479800797945149 ], "negativeNumericalDerivative": -0.022387920473133704, "derivativeResidual": 2.3141211169530607e-15 }, { "gap": 3.4239583333333337, "d": 3.4239583333333337, "force": -0.02132470669966936, "energy": -0.07301490721022208, "step": 0.0003423958333333334, "energySamples": [ -0.07302951311284464, -0.0730222094311652, -0.07300760644957711, -0.07300030714879233 ], "negativeNumericalDerivative": -0.021324706699698437, "derivativeResidual": 2.907743490432324e-14 }, { "gap": 3.50625, "d": 3.50625, "force": -0.020335471735283, "energy": -0.07130124777183601, "step": 0.000350625, "energySamples": [ -0.0713155108740108, -0.07130837860969697, -0.07129411836, -0.07128699037376125 ], "negativeNumericalDerivative": -0.020335471735270436, "derivativeResidual": -1.2562867413024037e-14 }, { "gap": 3.5885416666666665, "d": 3.5885416666666665, "force": -0.01941350814478399, "energy": -0.06966618287373004, "step": 0.00035885416666666666, "energySamples": [ -0.06968011889750955, -0.06967315018874892, -0.06965921695203485, -0.0696522524232454 ], "negativeNumericalDerivative": -0.019413508144765473, "derivativeResidual": -1.851643838257644e-14 }, { "gap": 3.6708333333333334, "d": 3.6708333333333334, "force": -0.018552851792347204, "energy": -0.0681044267877412, "step": 0.00036708333333333336, "energySamples": [ -0.06811805039782076, -0.06811123791153235, -0.0680976170260386, -0.06809080862601599 ], "negativeNumericalDerivative": -0.018552851792340248, "derivativeResidual": -6.9562411386669964e-15 }, { "gap": 3.753125, "d": 3.753125, "force": -0.017748185144075748, "energy": -0.06661115736885928, "step": 0.0003753125, "energySamples": [ -0.06662448226531234, -0.06661781915077436, -0.06660449691916737, -0.06659783780129903 ], "negativeNumericalDerivative": -0.01774818514407219, "derivativeResidual": -3.5561831257524545e-15 }, { "gap": 3.8354166666666667, "d": 3.8354166666666667, "force": -0.016994754934748696, "energy": -0.06518196632265073, "step": 0.0003835416666666667, "energySamples": [ -0.06519500532371547, -0.06518848517116785, -0.06517544877777295, -0.0651689325361435 ], "negativeNumericalDerivative": -0.016994754934749452, "derivativeResidual": 7.563394355258879e-16 }, { "gap": 3.917708333333333, "d": 3.917708333333333, "force": -0.016288301810921238, "energy": -0.06381281574049455, "step": 0.0003917708333333333, "energySamples": [ -0.06382558085666588, -0.06381919766026058, -0.06380643509698486, -0.06380005572934869 ], "negativeNumericalDerivative": -0.016288301810907114, "derivativeResidual": -1.4124118541403163e-14 }, { "gap": 4.000000000000001, "d": 4.000000000000001, "force": -0.015624999999999993, "energy": -0.062499999999999986, "step": 0.00040000000000000013, "energySamples": [ -0.06251250250050008, -0.06250625062506249, -0.06249375062493749, -0.06248750249950009 ], "negativeNumericalDerivative": -0.015624999999988155, "derivativeResidual": -1.1837753000065732e-14 } ], "far": [ { "radius": 2, "theta": 0, "x": 0, "z": 2, "direct": { "potential": 0.6666666666666667, "ex": 0, "ez": 0.8888888888888888, "terms": [ { "role": "real", "distance": 1, "potential": 1, "ex": 0, "ez": 1 }, { "role": "image", "distance": 3, "potential": -0.3333333333333333, "ex": 0, "ez": -0.1111111111111111 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6666666666666667, "error": -0.6666666666666667, "absoluteError": 0.6666666666666667, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 1, "moment": 2, "term": 0.5, "partial": 0.5, "direct": 0.6666666666666667, "error": -0.16666666666666674, "absoluteError": 0.16666666666666674, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.25 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 1, "moment": 0, "term": 0, "partial": 0.5, "direct": 0.6666666666666667, "error": -0.16666666666666674, "absoluteError": 0.16666666666666674, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.125 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 1, "moment": 2, "term": 0.125, "partial": 0.625, "direct": 0.6666666666666667, "error": -0.04166666666666674, "absoluteError": 0.04166666666666674, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0625 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 1, "moment": 0, "term": 0, "partial": 0.625, "direct": 0.6666666666666667, "error": -0.04166666666666674, "absoluteError": 0.04166666666666674, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.03125 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 1, "moment": 2, "term": 0.03125, "partial": 0.65625, "direct": 0.6666666666666667, "error": -0.01041666666666674, "absoluteError": 0.01041666666666674, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.015625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.015625 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 1, "moment": 0, "term": 0, "partial": 0.65625, "direct": 0.6666666666666667, "error": -0.01041666666666674, "absoluteError": 0.01041666666666674, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0078125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0078125 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 1, "moment": 2, "term": 0.0078125, "partial": 0.6640625, "direct": 0.6666666666666667, "error": -0.0026041666666667407, "absoluteError": 0.0026041666666667407, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00390625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00390625 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 1, "moment": 0, "term": 0, "partial": 0.6640625, "direct": 0.6666666666666667, "error": -0.0026041666666667407, "absoluteError": 0.0026041666666667407, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.001953125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.001953125 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 1, "moment": 2, "term": 0.001953125, "partial": 0.666015625, "direct": 0.6666666666666667, "error": -0.0006510416666667407, "absoluteError": 0.0006510416666667407, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0009765625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0009765625 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 1, "moment": 0, "term": 0, "partial": 0.666015625, "direct": 0.6666666666666667, "error": -0.0006510416666667407, "absoluteError": 0.0006510416666667407, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00048828125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00048828125 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 1, "moment": 2, "term": 0.00048828125, "partial": 0.66650390625, "direct": 0.6666666666666667, "error": -0.00016276041666674068, "absoluteError": 0.00016276041666674068, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000244140625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000244140625 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 1, "moment": 0, "term": 0, "partial": 0.66650390625, "direct": 0.6666666666666667, "error": -0.00016276041666674068, "absoluteError": 0.00016276041666674068, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001220703125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0001220703125 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.02454369260617026, "x": 0.049082457045824576, "z": 1.9993976373924085, "direct": { "potential": 0.6660425358080986, "ex": 0.04717566027030835, "ez": 0.8864832435761772, "terms": [ { "role": "real", "distance": 1.0006021812964345, "potential": 0.9993981811076463, "ex": 0.04899389411625941, "ez": 0.997594353940536 }, { "role": "image", "distance": 2.999799205744414, "potential": -0.3333556452995478, "ex": -0.0018182338459510562, "ez": -0.1111111103643587 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6660425358080986, "error": -0.6660425358080986, "absoluteError": 0.6660425358080986, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9996988186962042, "moment": 2, "term": 0.4998494093481021, "partial": 0.4998494093481021, "direct": 0.6660425358080986, "error": -0.16619312645999645, "absoluteError": 0.16619312645999645, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24992470467405106 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24992470467405106 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9990965921538795, "moment": 0, "term": 0, "partial": 0.4998494093481021, "direct": 0.6660425358080986, "error": -0.16619312645999645, "absoluteError": 0.16619312645999645, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12488707401923493 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12488707401923493 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9981935924352584, "moment": 2, "term": 0.1247741990544073, "partial": 0.6246236084025094, "direct": 0.6660425358080986, "error": -0.04141892740558917, "absoluteError": 0.04141892740558917, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.06238709952720365 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.06238709952720365 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.9969902274629747, "moment": 0, "term": 0, "partial": 0.6246236084025094, "direct": 0.6660425358080986, "error": -0.04141892740558917, "absoluteError": 0.04141892740558917, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03115594460821796 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.03115594460821796 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.9954870408153056, "moment": 2, "term": 0.0311089700254783, "partial": 0.6557325784279877, "direct": 0.6660425358080986, "error": -0.010309957380110868, "absoluteError": 0.010309957380110868, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01555448501273915 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.01555448501273915 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.9936847114533296, "moment": 0, "term": 0, "partial": 0.6557325784279877, "direct": 0.6660425358080986, "error": -0.010309957380110868, "absoluteError": 0.010309957380110868, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0077631618082291375 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0077631618082291375 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.9915840533801435, "moment": 2, "term": 0.0077467504170323715, "partial": 0.6634793288450201, "direct": 0.6660425358080986, "error": -0.002563206963078435, "absoluteError": 0.002563206963078435, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0038733752085161857 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0038733752085161857 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.989186015232318, "moment": 0, "term": 0, "partial": 0.6634793288450201, "direct": 0.6660425358080986, "error": -0.002563206963078435, "absoluteError": 0.002563206963078435, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.001932003936000621 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.001932003936000621 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.9864916798038076, "moment": 2, "term": 0.0019267415621168117, "partial": 0.665406070407137, "direct": 0.6660425358080986, "error": -0.0006364654009616277, "absoluteError": 0.0006364654009616277, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0009633707810584058 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0009633707810584058 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.9835022635025652, "moment": 0, "term": 0, "partial": 0.665406070407137, "direct": 0.6660425358080986, "error": -0.0006364654009616277, "absoluteError": 0.0006364654009616277, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004802257146008619 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004802257146008619 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.9802191157401482, "moment": 2, "term": 0.00047862261510749424, "partial": 0.6658846930222444, "direct": 0.6660425358080986, "error": -0.00015784278585417866, "absoluteError": 0.00015784278585417866, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00023931130755374712 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00023931130755374712 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.9766437182546378, "moment": 0, "term": 0, "partial": 0.6658846930222444, "direct": 0.6660425358080986, "error": -0.00015784278585417866, "absoluteError": 0.00015784278585417866, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011921920388850559 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011921920388850559 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.04908738521234052, "x": 0.09813534865483603, "z": 1.9975909124103448, "direct": { "potential": 0.6641769885165869, "ex": 0.09379278321292454, "ez": 0.8793131417291852, "terms": [ { "role": "real", "distance": 1.0024061927079813, "potential": 0.9975995831575212, "ex": 0.09743034643418165, "ez": 0.990424240887858 }, { "role": "image", "distance": 2.999196863298688, "potential": -0.33342259464093427, "ex": -0.0036375632212571093, "ez": -0.11111109915867279 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6641769885165869, "error": -0.6641769885165869, "absoluteError": 0.6641769885165869, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9987954562051724, "moment": 2, "term": 0.4993977281025862, "partial": 0.4993977281025862, "direct": 0.6641769885165869, "error": -0.1647792604140007, "absoluteError": 0.1647792604140007, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2496988640512931 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2496988640512931 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 0, "term": 0, "partial": 0.4993977281025862, "direct": 0.6641769885165869, "error": -0.1647792604140007, "absoluteError": 0.1647792604140007, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12454856812551846 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12454856812551846 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9927836148049279, "moment": 2, "term": 0.12409795185061599, "partial": 0.6234956799532022, "direct": 0.6641769885165869, "error": -0.0406813085633847, "absoluteError": 0.0406813085633847, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.062048975925307996 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.062048975925307996 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 0, "term": 0, "partial": 0.6234956799532022, "direct": 0.6641769885165869, "error": -0.0406813085633847, "absoluteError": 0.0406813085633847, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.030874599290799328 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.030874599290799328 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.9820078944232723, "moment": 2, "term": 0.03068774670072726, "partial": 0.6541834266539295, "direct": 0.6641769885165869, "error": -0.00999356186265743, "absoluteError": 0.00999356186265743, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01534387335036363 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.01534387335036363 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 0, "term": 0, "partial": 0.6541834266539295, "direct": 0.6641769885165869, "error": -0.00999356186265743, "absoluteError": 0.00999356186265743, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.007616066882103401 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.007616066882103401 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.966546082686236, "moment": 2, "term": 0.007551141270986219, "partial": 0.6617345679249157, "direct": 0.6641769885165869, "error": -0.0024424205916712127, "absoluteError": 0.0024424205916712127, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0037755706354931093 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0037755706354931093 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 0, "term": 0, "partial": 0.6617345679249157, "direct": 0.6641769885165869, "error": -0.0024424205916712127, "absoluteError": 0.0024424205916712127, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0018693192401450618 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0018693192401450618 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.9465097121190144, "moment": 2, "term": 0.00184865178148245, "partial": 0.6635832197063981, "direct": 0.6641769885165869, "error": -0.0005937688101887995, "absoluteError": 0.0005937688101887995, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000924325890741225 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000924325890741225 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 0, "term": 0, "partial": 0.6635832197063981, "direct": 0.6641769885165869, "error": -0.0005937688101887995, "absoluteError": 0.0005937688101887995, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004564550457062385 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004564550457062385 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.9220431656352109, "moment": 2, "term": 0.00045021638947031784, "partial": 0.6640334360958684, "direct": 0.6641769885165869, "error": -0.00014355242071850682, "absoluteError": 0.00014355242071850682, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00022510819473515892 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00022510819473515892 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 0, "term": 0, "partial": 0.6640334360958684, "direct": 0.6641769885165869, "error": -0.00014355242071850682, "absoluteError": 0.00014355242071850682, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011086455066267845 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011086455066267845 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.07363107781851078, "x": 0.14712912719933485, "z": 1.9945809133573804, "direct": { "potential": 0.6610903472921199, "ex": 0.13931012588389644, "ez": 0.8675170210915253, "terms": [ { "role": "real", "distance": 1.005404482427465, "potential": 0.9946245689949418, "ex": 0.14476921093278358, "ez": 0.9786280716562703 }, { "role": "image", "distance": 2.9981930936340246, "potential": -0.3335342217028218, "ex": -0.005459085048887145, "ez": -0.11111105056474496 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6610903472921199, "error": -0.6610903472921199, "absoluteError": 0.6610903472921199, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9972904566786902, "moment": 2, "term": 0.4986452283393451, "partial": 0.4986452283393451, "direct": 0.6610903472921199, "error": -0.1624451189527748, "absoluteError": 0.1624451189527748, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24932261416967255 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24932261416967255 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9918823824735858, "moment": 0, "term": 0, "partial": 0.4986452283393451, "direct": 0.6610903472921199, "error": -0.1624451189527748, "absoluteError": 0.1624451189527748, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12398529780919823 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12398529780919823 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9837977525285893, "moment": 2, "term": 0.12297471906607366, "partial": 0.6216199474054187, "direct": 0.6610903472921199, "error": -0.0394703998867012, "absoluteError": 0.0394703998867012, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.06148735953303683 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.06148735953303683 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.9730694054675457, "moment": 0, "term": 0, "partial": 0.6216199474054187, "direct": 0.6610903472921199, "error": -0.0394703998867012, "absoluteError": 0.0394703998867012, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.030408418920860804 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.030408418920860804 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.9597408951429511, "moment": 2, "term": 0.029991902973217223, "partial": 0.651611850378636, "direct": 0.6610903472921199, "error": -0.009478496913483903, "absoluteError": 0.009478496913483903, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.014995951486608611 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.014995951486608611 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.9438662940626479, "moment": 0, "term": 0, "partial": 0.651611850378636, "direct": 0.6610903472921199, "error": -0.009478496913483903, "absoluteError": 0.009478496913483903, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.007373955422364437 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.007373955422364437 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.9255099494262835, "moment": 2, "term": 0.00723054647989284, "partial": 0.6588423968585289, "direct": 0.6610903472921199, "error": -0.0022479504335910505, "absoluteError": 0.0022479504335910505, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00361527323994642 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00361527323994642 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.9047461929277014, "moment": 0, "term": 0, "partial": 0.6588423968585289, "direct": 0.6610903472921199, "error": -0.0022479504335910505, "absoluteError": 0.0022479504335910505, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0017670824080619168 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0017670824080619168 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.8816590056981872, "moment": 2, "term": 0.001721990245504272, "partial": 0.6605643871040331, "direct": 0.6610903472921199, "error": -0.0005259601880868159, "absoluteError": 0.0005259601880868159, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000860995122752136 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000860995122752136 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.8563416399775562, "moment": 0, "term": 0, "partial": 0.6605643871040331, "direct": 0.6610903472921199, "error": -0.0005259601880868159, "absoluteError": 0.0005259601880868159, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004181355663952911 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004181355663952911 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.8288961993043849, "moment": 2, "term": 0.00040473447231659417, "partial": 0.6609691215763497, "direct": 0.6610903472921199, "error": -0.00012122571577022345, "absoluteError": 0.00012122571577022345, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00020236723615829708 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00020236723615829708 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.799433179212283, "moment": 0, "term": 0, "partial": 0.6609691215763497, "direct": 0.6610903472921199, "error": -0.00012122571577022345, "absoluteError": 0.00012122571577022345, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00009758705800931189 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00009758705800931189 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.09817477042468103, "x": 0.1960342806591212, "z": 1.9903694533443939, "direct": { "potential": 0.6568157846752174, "ex": 0.18321999310522855, "ez": 0.8513188905995178, "terms": [ { "role": "real", "distance": 1.0095846142405365, "potential": 0.9905063784596732, "ex": 0.19050389214682414, "ez": 0.9624298101896857 }, { "role": "image", "distance": 2.9967880983961455, "potential": -0.3336905937844558, "ex": -0.007283899041595607, "ez": -0.11111091959016783 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6568157846752174, "error": -0.6568157846752174, "absoluteError": 0.6568157846752174, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9951847266721969, "moment": 2, "term": 0.49759236333609846, "partial": 0.49759236333609846, "direct": 0.6568157846752174, "error": -0.15922342133911893, "absoluteError": 0.15922342133911893, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24879618166804923 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24879618166804923 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9855889603024228, "moment": 0, "term": 0, "partial": 0.49759236333609846, "direct": 0.6568157846752174, "error": -0.15922342133911893, "absoluteError": 0.15922342133911893, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12319862003780285 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12319862003780285 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9712819823347044, "moment": 2, "term": 0.12141024779183805, "partial": 0.6190026111279365, "direct": 0.6568157846752174, "error": -0.037813173547280865, "absoluteError": 0.037813173547280865, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.060705123895919026 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.060705123895919026 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.9523670194681196, "moment": 0, "term": 0, "partial": 0.6190026111279365, "direct": 0.6568157846752174, "error": -0.037813173547280865, "absoluteError": 0.037813173547280865, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02976146935837874 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.02976146935837874 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.9289804156620282, "moment": 2, "term": 0.02903063798943838, "partial": 0.6480332491173749, "direct": 0.6568157846752174, "error": -0.008782535557842475, "absoluteError": 0.008782535557842475, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01451531899471919 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.01451531899471919 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.9012905390247057, "moment": 0, "term": 0, "partial": 0.6480332491173749, "direct": 0.6568157846752174, "error": -0.008782535557842475, "absoluteError": 0.008782535557842475, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.007041332336130513 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.007041332336130513 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.8694964327911193, "moment": 2, "term": 0.00679294088118062, "partial": 0.6548261899985555, "direct": 0.6568157846752174, "error": -0.001989594676661932, "absoluteError": 0.001989594676661932, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00339647044059031 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00339647044059031 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.8338262217465331, "moment": 0, "term": 0, "partial": 0.6548261899985555, "direct": 0.6568157846752174, "error": -0.001989594676661932, "absoluteError": 0.001989594676661932, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0016285668393486974 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0016285668393486974 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.794535287505214, "moment": 2, "term": 0.001551826733408621, "partial": 0.6563780167319642, "direct": 0.6568157846752174, "error": -0.0004377679432532311, "absoluteError": 0.0004377679432532311, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0007759133667043105 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0007759133667043105 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.7519042279899746, "moment": 0, "term": 0, "partial": 0.6563780167319642, "direct": 0.6568157846752174, "error": -0.0004377679432532311, "absoluteError": 0.0004377679432532311, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0003671407363232298 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0003671407363232298 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.706236618261925, "moment": 2, "term": 0.00034484209876070555, "partial": 0.6567228588307249, "direct": 0.6568157846752174, "error": -0.00009292584449249741, "absoluteError": 0.00009292584449249741, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00017242104938035277 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00017242104938035277 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.6578565915050633, "moment": 0, "term": 0, "partial": 0.6567228588307249, "direct": 0.6568157846752174, "error": -0.00009292584449249741, "absoluteError": 0.00009292584449249741, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00008030475970520792 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00008030475970520792 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.1227184630308513, "x": 0.2448213503984324, "z": 1.98495906919742, "direct": { "potential": 0.6513983196247748, "ex": 0.22506251119553558, "ez": 0.8310187939118072, "terms": [ { "role": "real", "distance": 1.0149294860260787, "potential": 0.9852901248494271, "ex": 0.23417562029874728, "ez": 0.9421294369253649 }, { "role": "image", "distance": 2.994982159946005, "potential": -0.3338918052246523, "ex": -0.009113109103211699, "ez": -0.11111064301355764 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6513983196247748, "error": -0.6513983196247748, "absoluteError": 0.6513983196247748, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.99247953459871, "moment": 2, "term": 0.496239767299355, "partial": 0.496239767299355, "direct": 0.6513983196247748, "error": -0.1551585523254198, "absoluteError": 0.1551585523254198, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2481198836496775 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2481198836496775 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9775234398959078, "moment": 0, "term": 0, "partial": 0.496239767299355, "direct": 0.6513983196247748, "error": -0.1551585523254198, "absoluteError": 0.1551585523254198, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12219042998698848 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12219042998698848 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9553003247462278, "moment": 2, "term": 0.11941254059327848, "partial": 0.6156523078926335, "direct": 0.6513983196247748, "error": -0.035746011732141314, "absoluteError": 0.035746011732141314, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05970627029663924 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05970627029663924 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.9260604580638014, "moment": 0, "term": 0, "partial": 0.6156523078926335, "direct": 0.6513983196247748, "error": -0.035746011732141314, "absoluteError": 0.035746011732141314, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.028939389314493795 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.028939389314493795 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.8901326345759916, "moment": 2, "term": 0.027816644830499736, "partial": 0.6434689527231332, "direct": 0.6513983196247748, "error": -0.007929366901641588, "absoluteError": 0.007929366901641588, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.013908322415249868 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.013908322415249868 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.847920060254522, "moment": 0, "term": 0, "partial": 0.6434689527231332, "direct": 0.6513983196247748, "error": -0.007929366901641588, "absoluteError": 0.007929366901641588, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0066243754707384535 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0066243754707384535 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.7998953115231695, "moment": 2, "term": 0.006249182121274762, "partial": 0.649718134844408, "direct": 0.6513983196247748, "error": -0.0016801847803668002, "absoluteError": 0.0016801847803668002, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.003124591060637381 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.003124591060637381 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.7465944344801783, "moment": 0, "term": 0, "partial": 0.649718134844408, "direct": 0.6513983196247748, "error": -0.0016801847803668002, "absoluteError": 0.0016801847803668002, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0014581922548440982 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0014581922548440982 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.6886102616168343, "moment": 2, "term": 0.0013449419172203794, "partial": 0.6510630767616283, "direct": 0.6513983196247748, "error": -0.00033524286314645657, "absoluteError": 0.00033524286314645657, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0006724709586101897 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0006724709586101897 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.6265850337096455, "moment": 0, "term": 0, "partial": 0.6510630767616283, "direct": 0.6513983196247748, "error": -0.00033524286314645657, "absoluteError": 0.00033524286314645657, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0003059497234910378 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0003059497234910378 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.5612024235752401, "moment": 2, "term": 0.0002740246208863477, "partial": 0.6513371013825147, "direct": 0.6513983196247748, "error": -0.0000612182422601304, "absoluteError": 0.0000612182422601304, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00013701231044317385 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00013701231044317385 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.49317906608360124, "moment": 0, "term": 0, "partial": 0.6513371013825147, "direct": 0.6513983196247748, "error": -0.0000612182422601304, "absoluteError": 0.0000612182422601304, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000060202522715283354 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000060202522715283354 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.14726215563702155, "x": 0.2934609489107235, "z": 1.978353019929562, "direct": { "potential": 0.6448934956877647, "ex": 0.2644371732765487, "ez": 0.8069804805734707, "terms": [ { "role": "real", "distance": 1.0214176227875043, "potential": 0.9790314732097001, "ex": 0.27538499801416166, "ez": 0.9180906197247234 }, { "role": "image", "distance": 2.992775641417032, "potential": -0.3341379775219354, "ex": -0.01094782473761296, "ez": -0.11111013915125265 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6448934956877647, "error": -0.6448934956877647, "absoluteError": 0.6448934956877647, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.989176509964781, "moment": 2, "term": 0.4945882549823905, "partial": 0.4945882549823905, "direct": 0.6448934956877647, "error": -0.15030524070537415, "absoluteError": 0.15030524070537415, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24729412749119525 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24729412749119525 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 0, "term": 0, "partial": 0.4945882549823905, "direct": 0.6448934956877647, "error": -0.15030524070537415, "absoluteError": 0.15030524070537415, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12096315647489458 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.12096315647489458 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9359344994389449, "moment": 2, "term": 0.11699181242986811, "partial": 0.6115800674122587, "direct": 0.6448934956877647, "error": -0.033313428275505985, "absoluteError": 0.033313428275505985, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05849590621493406 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05849590621493406 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 0, "term": 0, "partial": 0.6115800674122587, "direct": 0.6448934956877647, "error": -0.033313428275505985, "absoluteError": 0.033313428275505985, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.027949337473258427 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.027949337473258427 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.843709698872081, "moment": 2, "term": 0.026365928089752532, "partial": 0.6379459955020111, "direct": 0.6448934956877647, "error": -0.006947500185753519, "absoluteError": 0.006947500185753519, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.013182964044876266 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.013182964044876266 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 0, "term": 0, "partial": 0.6379459955020111, "direct": 0.6448934956877647, "error": -0.006947500185753519, "absoluteError": 0.006947500185753519, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0061308098608979 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0061308098608979 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.7184273953711477, "moment": 2, "term": 0.005612714026337092, "partial": 0.6435587095283483, "direct": 0.6448934956877647, "error": -0.0013347861594164012, "absoluteError": 0.0013347861594164012, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002806357013168546 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.002806357013168546 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.645820864860035, "moment": 0, "term": 0, "partial": 0.6435587095283483, "direct": 0.6448934956877647, "error": -0.0013347861594164012, "absoluteError": 0.0013347861594164012, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0012613688766797558 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0012613688766797558 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.568078325870053, "moment": 2, "term": 0.0011095279802149473, "partial": 0.6446682375085632, "direct": 0.6448934956877647, "error": -0.00022525817920149294, "absoluteError": 0.00022525817920149294, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005547639901074737 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0005547639901074737 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 0, "term": 0, "partial": 0.6446682375085632, "direct": 0.6448934956877647, "error": -0.00022525817920149294, "absoluteError": 0.00022525817920149294, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002375135349562697 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0002375135349562697 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.4021488268732769, "moment": 2, "term": 0.00019636173187171724, "partial": 0.6448645992404349, "direct": 0.6448934956877647, "error": -0.00002889644732972929, "absoluteError": 0.00002889644732972929, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00009818086593585862 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00009818086593585862 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 0, "term": 0, "partial": 0.6448645992404349, "direct": 0.6448934956877647, "error": -0.00002889644732972929, "absoluteError": 0.00002889644732972929, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003864142928795118 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00003864142928795118 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.1718058482431918, "x": 0.34192377752060243, "z": 1.9705552847778824, "direct": { "potential": 0.6373658145921037, "ex": 0.30101115808718465, "ez": 0.779617162794856, "terms": [ { "role": "real", "distance": 1.029023532502651, "potential": 0.9717950740814799, "ex": 0.3138003205551427, "ez": 0.890726470350358 }, { "role": "image", "distance": 2.9901689867891683, "potential": -0.33442925948937624, "ex": -0.012789162467958021, "ez": -0.11110930755550195 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6373658145921037, "error": -0.6373658145921037, "absoluteError": 0.6373658145921037, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9852776423889412, "moment": 2, "term": 0.4926388211944706, "partial": 0.4926388211944706, "direct": 0.6373658145921037, "error": -0.14472699339763312, "absoluteError": 0.14472699339763312, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2463194105972353 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2463194105972353 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9561580488872656, "moment": 0, "term": 0, "partial": 0.4926388211944706, "direct": 0.6373658145921037, "error": -0.14472699339763312, "absoluteError": 0.14472699339763312, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1195197561109082 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.1195197561109082 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.9132834853387978, "moment": 2, "term": 0.11416043566734972, "partial": 0.6067992568618203, "direct": 0.6373658145921037, "error": -0.030566557730283384, "absoluteError": 0.030566557730283384, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05708021783367486 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05708021783367486 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.857597612052441, "moment": 0, "term": 0, "partial": 0.6067992568618203, "direct": 0.6373658145921037, "error": -0.030566557730283384, "absoluteError": 0.030566557730283384, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02679992537663878 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.02679992537663878 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.7903223677075085, "moment": 2, "term": 0.02469757399085964, "partial": 0.6314968308526799, "direct": 0.6373658145921037, "error": -0.005868983739423794, "absoluteError": 0.005868983739423794, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01234878699542982 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.01234878699542982 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.7129280817901488, "moment": 0, "term": 0, "partial": 0.6314968308526799, "direct": 0.6373658145921037, "error": -0.005868983739423794, "absoluteError": 0.005868983739423794, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005569750638985537 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.005569750638985537 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.6270975841146903, "moment": 2, "term": 0.004899199875896018, "partial": 0.636396030728576, "direct": 0.6373658145921037, "error": -0.0009697838635277511, "absoluteError": 0.0009697838635277511, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002449599937948009 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.002449599937948009 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.5346852332292251, "moment": 0, "term": 0, "partial": 0.636396030728576, "direct": 0.6373658145921037, "error": -0.0009697838635277511, "absoluteError": 0.0009697838635277511, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0010443070961508303 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0010443070961508303 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.4376719143732337, "moment": 2, "term": 0.0008548279577602221, "partial": 0.6372508586863362, "direct": 0.6373658145921037, "error": -0.00011495590576748871, "absoluteError": 0.00011495590576748871, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00042741397888011105 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00042741397888011105 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.3381171587673745, "moment": 0, "term": 0, "partial": 0.6372508586863362, "direct": 0.6373658145921037, "error": -0.00011495590576748871, "absoluteError": 0.00011495590576748871, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001650962689293821 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0001650962689293821 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.23810960674005005, "moment": 2, "term": 0.00011626445641604006, "partial": 0.6373671231427522, "direct": 0.6373658145921037, "error": 0.0000013085506485044363, "absoluteError": 0.0000013085506485044363, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005813222820802003 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00005813222820802003 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.13971707571797934, "moment": 0, "term": 0, "partial": 0.6373671231427522, "direct": 0.6373658145921037, "error": 0.0000013085506485044363, "absoluteError": 0.0000013085506485044363, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0000170553070944799 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0000170553070944799 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.19634954084936207, "x": 0.3901806440322565, "z": 1.9615705608064609, "direct": { "potential": 0.6288870077258081, "ex": 0.3345242023303876, "ez": 0.7493763075455451, "terms": [ { "role": "real", "distance": 1.037718111235936, "potential": 0.9636528351702245, "ex": 0.34916244959915244, "ez": 0.8604843361882872 }, { "role": "image", "distance": 2.9871627209800473, "potential": -0.3347658274444164, "ex": -0.01463824726876485, "ez": -0.11110802864274222 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6288870077258081, "error": -0.6288870077258081, "absoluteError": 0.6288870077258081, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9807852804032304, "moment": 2, "term": 0.4903926402016152, "partial": 0.4903926402016152, "direct": 0.6288870077258081, "error": -0.13849436752419286, "absoluteError": 0.13849436752419286, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2451963201008076 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2451963201008076 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.942909649383465, "moment": 0, "term": 0, "partial": 0.4903926402016152, "direct": 0.6288870077258081, "error": -0.13849436752419286, "absoluteError": 0.13849436752419286, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.11786370617293312 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.11786370617293312 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.8874629878403022, "moment": 2, "term": 0.11093287348003777, "partial": 0.601325513681653, "direct": 0.6288870077258081, "error": -0.027561494044155088, "absoluteError": 0.027561494044155088, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05546643674001889 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05546643674001889 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 0, "term": 0, "partial": 0.601325513681653, "direct": 0.6288870077258081, "error": -0.027561494044155088, "absoluteError": 0.027561494044155088, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.025501136714724076 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.025501136714724076 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.73067124627282, "moment": 2, "term": 0.022833476446025625, "partial": 0.6241589901276786, "direct": 0.6288870077258081, "error": -0.004728017598129464, "absoluteError": 0.004728017598129464, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.011416738223012812 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.011416738223012812 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 0, "term": 0, "partial": 0.6241589901276786, "direct": 0.6288870077258081, "error": -0.004728017598129464, "absoluteError": 0.004728017598129464, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004951517917168059 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.004951517917168059 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.5281402859064391, "moment": 2, "term": 0.004126095983644056, "partial": 0.6282850861113227, "direct": 0.6288870077258081, "error": -0.0006019216144853567, "absoluteError": 0.0006019216144853567, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002063047991822028 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.002063047991822028 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 0, "term": 0, "partial": 0.6282850861113227, "direct": 0.6288870077258081, "error": -0.0006019216144853567, "absoluteError": 0.0006019216144853567, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008137996148174455 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0008137996148174455 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.3024539676839803, "moment": 2, "term": 0.000590730405632774, "partial": 0.6288758165169555, "direct": 0.6288870077258081, "error": -0.000011191208852623369, "absoluteError": 0.000011191208852623369, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000295365202816387 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000295365202816387 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 0, "term": 0, "partial": 0.6288758165169555, "direct": 0.6288870077258081, "error": -0.000011191208852623369, "absoluteError": 0.000011191208852623369, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00009210043776842056 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00009210043776842056 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.07821867068308724, "moment": 2, "term": 0.00003819271029447619, "partial": 0.6289140092272499, "direct": 0.6288870077258081, "error": 0.000027001501441858977, "absoluteError": 0.000027001501441858977, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000019096355147238097 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000019096355147238097 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 0, "term": 0, "partial": 0.6289140092272499, "direct": 0.6288870077258081, "error": 0.000027001501441858977, "absoluteError": 0.000027001501441858977, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000003157318952406272 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000003157318952406272 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.22089323345553233, "x": 0.4382024803137396, "z": 1.9514042600770571, "direct": { "potential": 0.6195342299880955, "ex": 0.3647900779179455, "ez": 0.7167243916858708, "terms": [ { "role": "real", "distance": 1.0474690830023985, "potential": 0.9546821154221219, "ex": 0.3812862919313805, "ez": 0.8278305549361031 }, { "role": "image", "distance": 2.9837574499536843, "potential": -0.33514788543402635, "ex": -0.016496214013435068, "ez": -0.11110616325023241 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6195342299880955, "error": -0.6195342299880955, "absoluteError": 0.6195342299880955, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9757021300385286, "moment": 2, "term": 0.4878510650192643, "partial": 0.4878510650192643, "direct": 0.6195342299880955, "error": -0.1316831649688312, "absoluteError": 0.1316831649688312, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24392553250963214 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24392553250963214 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9279919698425827, "moment": 0, "term": 0, "partial": 0.4878510650192643, "direct": 0.6195342299880955, "error": -0.1316831649688312, "absoluteError": 0.1316831649688312, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.11599899623032284 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.11599899623032284 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.8586048160310776, "moment": 2, "term": 0.1073256020038847, "partial": 0.595176667023149, "direct": 0.6195342299880955, "error": -0.02435756296494651, "absoluteError": 0.02435756296494651, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05366280100194235 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05366280100194235 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.7700554813780704, "moment": 0, "term": 0, "partial": 0.595176667023149, "direct": 0.6195342299880955, "error": -0.02435756296494651, "absoluteError": 0.02435756296494651, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0240642337930647 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0240642337930647 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.665536739346308, "moment": 2, "term": 0.020798023104572124, "partial": 0.6159746901277211, "direct": 0.6195342299880955, "error": -0.0035595398603743833, "absoluteError": 0.0035595398603743833, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.010399011552286062 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.010399011552286062 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.5487907248832723, "moment": 0, "term": 0, "partial": 0.6159746901277211, "direct": 0.6195342299880955, "error": -0.0035595398603743833, "absoluteError": 0.0035595398603743833, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004287427538150565 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.004287427538150565 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.42395874195773026, "moment": 2, "term": 0.0033121776715447676, "partial": 0.6192868677992659, "direct": 0.6195342299880955, "error": -0.0002473621888295918, "absoluteError": 0.0002473621888295918, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0016560888357723838 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0016560888357723838 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2954158299332848, "moment": 0, "term": 0, "partial": 0.6192868677992659, "direct": 0.6195342299880955, "error": -0.0002473621888295918, "absoluteError": 0.0002473621888295918, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005769840428384469 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005769840428384469 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.16759706567325056, "moment": 2, "term": 0.0003273380188930675, "partial": 0.619614205818159, "direct": 0.6195342299880955, "error": 0.00007997583006347231, "absoluteError": 0.00007997583006347231, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00016366900944653375 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00016366900944653375 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.04482289959467933, "moment": 0, "term": 0, "partial": 0.619614205818159, "direct": 0.6195342299880955, "error": 0.00007997583006347231, "absoluteError": 0.00007997583006347231, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000021886181442714518 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000021886181442714518 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.06886917144934904, "moment": 2, "term": -0.00003362752512175246, "partial": 0.6195805782930371, "direct": 0.6195342299880955, "error": 0.00004634830494165687, "absoluteError": 0.00004634830494165687, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00001681376256087623 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00001681376256087623 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.16987960274293312, "moment": 0, "term": 0, "partial": 0.6195805782930371, "direct": 0.6195342299880955, "error": 0.00004634830494165687, "absoluteError": 0.00004634830494165687, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000020737256194205703 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000020737256194205703 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.2454369260617026, "x": 0.48596035980652774, "z": 1.940062506389088, "direct": { "potential": 0.6093882562514648, "ex": 0.39169496074981447, "ez": 0.6821324455244443, "terms": [ { "role": "real", "distance": 1.0582414597915846, "potential": 0.94496392174707, "ex": 0.4100591696896546, "ez": 0.7932359976434172 }, { "role": "image", "distance": 2.9799538608472074, "potential": -0.3355756654956053, "ex": -0.01836420893984017, "ez": -0.11110355211897294 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.6093882562514648, "error": -0.6093882562514648, "absoluteError": 0.6093882562514648, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.970031253194544, "moment": 2, "term": 0.485015626597272, "partial": 0.485015626597272, "direct": 0.6093882562514648, "error": -0.12437262965419277, "absoluteError": 0.12437262965419277, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.242507813298636 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.242507813298636 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 0, "term": 0, "partial": 0.485015626597272, "direct": 0.6093882562514648, "error": -0.12437262965419277, "absoluteError": 0.12437262965419277, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.11393011853265828 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.11393011853265828 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.8268561732948031, "moment": 2, "term": 0.10335702166185039, "partial": 0.5883726482591224, "direct": 0.6093882562514648, "error": -0.021015607992342367, "absoluteError": 0.021015607992342367, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.051678510830925194 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.051678510830925194 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 0, "term": 0, "partial": 0.5883726482591224, "direct": 0.6093882562514648, "error": -0.021015607992342367, "absoluteError": 0.021015607992342367, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.022501652071607977 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.022501652071607977 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.5957678730232003, "moment": 2, "term": 0.01861774603197501, "partial": 0.6069903942910974, "direct": 0.6093882562514648, "error": -0.002397861960367398, "absoluteError": 0.002397861960367398, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.009308873015987505 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.009308873015987505 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 0, "term": 0, "partial": 0.6069903942910974, "direct": 0.6093882562514648, "error": -0.002397861960367398, "absoluteError": 0.002397861960367398, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0035895620961483026 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0035895620961483026 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.3170599751888516, "moment": 2, "term": 0.002477031056162903, "partial": 0.6094674253472603, "direct": 0.6093882562514648, "error": 0.00007916909579552822, "absoluteError": 0.00007916909579552822, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0012385155280814515 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0012385155280814515 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 0, "term": 0, "partial": 0.6094674253472603, "direct": 0.6093882562514648, "error": 0.00007916909579552822, "absoluteError": 0.00007916909579552822, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00034109463816045223 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00034109463816045223 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.038159342705236465, "moment": 2, "term": 0.00007452996622116497, "partial": 0.6095419553134814, "direct": 0.6093882562514648, "error": 0.0001536990620166767, "absoluteError": 0.0001536990620166767, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000037264983110582486 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000037264983110582486 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 0, "term": 0, "partial": 0.6095419553134814, "direct": 0.6093882562514648, "error": 0.0001536990620166767, "absoluteError": 0.0001536990620166767, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000424055052324215 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0000424055052324215 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.195519374167494, "moment": 2, "term": -0.00009546844441772167, "partial": 0.6094464868690638, "direct": 0.6093882562514648, "error": 0.00005823061759901993, "absoluteError": 0.00005823061759901993, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000047734222208860837 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000047734222208860837 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 0, "term": 0, "partial": 0.6094464868690638, "direct": 0.6093882562514648, "error": 0.00005823061759901993, "absoluteError": 0.00005823061759901993, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003465643879920118 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00003465643879920118 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.2699806186678728, "x": 0.5334255149497967, "z": 1.9275521315908797, "direct": { "potential": 0.5985317513162031, "ex": 0.4151931562996761, "ez": 0.6460630495092374, "terms": [ { "role": "real", "distance": 1.0699980078571363, "potential": 0.9345811792703055, "ex": 0.4354365474362806, "ez": 0.7571630648097275 }, { "role": "image", "distance": 2.975752722116164, "potential": -0.3360494279541024, "ex": -0.02024339113660442, "ez": -0.11110001530049005 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5985317513162031, "error": -0.5985317513162031, "absoluteError": 0.5985317513162031, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9637760657954398, "moment": 2, "term": 0.4818880328977199, "partial": 0.4818880328977199, "direct": 0.5985317513162031, "error": -0.11664371841848314, "absoluteError": 0.11664371841848314, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.24094401644885996 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.24094401644885996 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.893296457500204, "moment": 0, "term": 0, "partial": 0.4818880328977199, "direct": 0.5985317513162031, "error": -0.11664371841848314, "absoluteError": 0.11664371841848314, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1116620571875255 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.1116620571875255 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.7923788651339567, "moment": 2, "term": 0.09904735814174459, "partial": 0.5809353910394646, "direct": 0.5985317513162031, "error": -0.0175963602767385, "absoluteError": 0.0175963602767385, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.049523679070872295 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.049523679070872295 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.6664602810768026, "moment": 0, "term": 0, "partial": 0.5809353910394646, "direct": 0.5985317513162031, "error": -0.0175963602767385, "absoluteError": 0.0175963602767385, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02082688378365008 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.02082688378365008 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.5222701497620574, "moment": 2, "term": 0.016320942180064295, "partial": 0.5972563332195288, "direct": 0.5985317513162031, "error": -0.0012754180966743078, "absoluteError": 0.0012754180966743078, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.008160471090032147 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.008160471090032147 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.3674274611727945, "moment": 0, "term": 0, "partial": 0.5972563332195288, "direct": 0.5985317513162031, "error": -0.0012754180966743078, "absoluteError": 0.0012754180966743078, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002870527040412457 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002870527040412457 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.20998720147912137, "moment": 2, "term": 0.0016405250115556357, "partial": 0.5988968582310844, "direct": 0.5985317513162031, "error": 0.0003651069148813413, "absoluteError": 0.0003651069148813413, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008202625057778178 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0008202625057778178 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.057964669428070936, "moment": 0, "term": 0, "partial": 0.5988968582310844, "direct": 0.5985317513162031, "error": 0.0003651069148813413, "absoluteError": 0.0003651069148813413, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011321224497670105 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011321224497670105 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.08113258598579343, "moment": 2, "term": -0.00015846208200350279, "partial": 0.598738396149081, "direct": 0.5985317513162031, "error": 0.00020664483287791136, "absoluteError": 0.00020664483287791136, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00007923104100175139 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00007923104100175139 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.20073612709074046, "moment": 0, "term": 0, "partial": 0.598738396149081, "direct": 0.5985317513162031, "error": 0.00020664483287791136, "absoluteError": 0.00020664483287791136, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00009801568705602561 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00009801568705602561 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.29558475559846714, "moment": 2, "term": -0.00014432849394456403, "partial": 0.5985940676551363, "direct": 0.5985317513162031, "error": 0.00006231633893327704, "absoluteError": 0.00006231633893327704, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00007216424697228202 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00007216424697228202 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.3620071164814327, "moment": 0, "term": 0, "partial": 0.5985940676551363, "direct": 0.5985317513162031, "error": 0.00006231633893327704, "absoluteError": 0.00006231633893327704, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004419032183611239 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00004419032183611239 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.2945243112740431, "x": 0.5805693545089247, "z": 1.9138806714644176, "direct": { "potential": 0.5870476713057308, "ex": 0.4353007591999713, "ez": 0.6089592556951443, "terms": [ { "role": "real", "distance": 1.082699707708081, "potential": 0.9236171330616275, "ex": 0.457435693252709, "ez": 0.7200546071798402 }, { "role": "image", "distance": 2.97115488369907, "potential": -0.33656946175589675, "ex": -0.022134934052737722, "ez": -0.11109535148469589 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5870476713057308, "error": -0.5870476713057308, "absoluteError": 0.5870476713057308, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9569403357322088, "moment": 2, "term": 0.4784701678661044, "partial": 0.4784701678661044, "direct": 0.5870476713057308, "error": -0.10857750343962635, "absoluteError": 0.10857750343962635, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2392350839330522 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2392350839330522 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 0, "term": 0, "partial": 0.4784701678661044, "direct": 0.5870476713057308, "error": -0.10857750343962635, "absoluteError": 0.10857750343962635, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10920027615336361 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.10920027615336361 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.7553484285018567, "moment": 2, "term": 0.09441855356273209, "partial": 0.5728887214288365, "direct": 0.5870476713057308, "error": -0.014158949876894256, "absoluteError": 0.014158949876894256, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.04720927678136604 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.04720927678136604 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 0, "term": 0, "partial": 0.5728887214288365, "direct": 0.5870476713057308, "error": -0.014158949876894256, "absoluteError": 0.014158949876894256, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.019054351747475114 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.019054351747475114 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.44599261608168855, "moment": 2, "term": 0.013937269252552767, "partial": 0.5868259906813893, "direct": 0.5870476713057308, "error": -0.0002216806243414693, "absoluteError": 0.0002216806243414693, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.006968634626276384 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.006968634626276384 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 0, "term": 0, "partial": 0.5868259906813893, "direct": 0.5870476713057308, "error": -0.0002216806243414693, "absoluteError": 0.0002216806243414693, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002143196981568035 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002143196981568035 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.10525161013461, "moment": 2, "term": 0.0008222782041766406, "partial": 0.5876482688855659, "direct": 0.5870476713057308, "error": 0.0006005975798351049, "absoluteError": 0.0006005975798351049, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004111391020883203 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0004111391020883203 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 0, "term": 0, "partial": 0.5876482688855659, "direct": 0.5870476713057308, "error": 0.0006005975798351049, "absoluteError": 0.0006005975798351049, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00009997847373203637 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00009997847373203637 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.18608382805779736, "moment": 2, "term": -0.00036344497667538546, "partial": 0.5872848239088905, "direct": 0.5870476713057308, "error": 0.0002371526031597071, "absoluteError": 0.0002371526031597071, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00018172248833769273 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00018172248833769273 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 0, "term": 0, "partial": 0.5872848239088905, "direct": 0.5870476713057308, "error": 0.0002371526031597071, "absoluteError": 0.0002371526031597071, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0001427075434602577 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0001427075434602577 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.36476783781133404, "moment": 2, "term": -0.00017810929580631545, "partial": 0.5871067146130842, "direct": 0.5870476713057308, "error": 0.00005904330735340135, "absoluteError": 0.00005904330735340135, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00008905464790315772 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00008905464790315772 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 0, "term": 0, "partial": 0.5871067146130842, "direct": 0.5870476713057308, "error": 0.00005904330735340135, "absoluteError": 0.00005904330735340135, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004896533992569563 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00004896533992569563 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.3190680038802134, "x": 0.627363480797783, "z": 1.8990563611860733, "direct": { "potential": 0.5750178395989543, "ex": 0.4520878692440124, "ez": 0.5712357055539456, "terms": [ { "role": "real", "distance": 1.09630619702155, "potential": 0.9121539244389979, "ex": 0.4761278962773055, "ez": 0.6823250427996017 }, { "role": "image", "distance": 2.9661612772019232, "potential": -0.3371360848400437, "ex": -0.024040027033293127, "ez": -0.11108933724565609 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5750178395989543, "error": -0.5750178395989543, "absoluteError": 0.5750178395989543, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9495281805930367, "moment": 2, "term": 0.47476409029651834, "partial": 0.47476409029651834, "direct": 0.5750178395989543, "error": -0.10025374930243591, "absoluteError": 0.10025374930243591, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.23738204514825917 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.23738204514825917 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.8524056486104838, "moment": 0, "term": 0, "partial": 0.47476409029651834, "direct": 0.5750178395989543, "error": -0.10025374930243591, "absoluteError": 0.10025374930243591, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10655070607631048 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.10655070607631048 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.7159531873585423, "moment": 2, "term": 0.08949414841981779, "partial": 0.5642582387163362, "direct": 0.5750178395989543, "error": -0.01075960088261807, "absoluteError": 0.01075960088261807, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.044747074209908894 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.044747074209908894 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.5503767864612359, "moment": 0, "term": 0, "partial": 0.5642582387163362, "direct": 0.5750178395989543, "error": -0.01075960088261807, "absoluteError": 0.01075960088261807, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01719927457691362 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.01719927457691362 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.3679143337536894, "moment": 2, "term": 0.011497322929802795, "partial": 0.575755561646139, "direct": 0.5750178395989543, "error": 0.0007377220471846968, "absoluteError": 0.0007377220471846968, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005748661464901397 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005748661464901397 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.1818185625115767, "moment": 0, "term": 0, "partial": 0.575755561646139, "direct": 0.5750178395989543, "error": 0.0007377220471846968, "absoluteError": 0.0007377220471846968, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0014204575196216929 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0014204575196216929 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.0052654332362038125, "moment": 2, "term": 0.000041136197157842285, "partial": 0.5757966978432968, "direct": 0.5750178395989543, "error": 0.0007788582443425396, "absoluteError": 0.0007788582443425396, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000020568098578921143 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000020568098578921143 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.149716847371117, "moment": 0, "term": 0, "partial": 0.5757966978432968, "direct": 0.5750178395989543, "error": 0.0007788582443425396, "absoluteError": 0.0007788582443425396, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002924157175217129 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0002924157175217129 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.27320552028808964, "moment": 2, "term": -0.0005336045318126751, "partial": 0.5752630933114841, "direct": 0.5750178395989543, "error": 0.00024525371252981376, "absoluteError": 0.00024525371252981376, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00026680226590633754 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00026680226590633754 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.35814588451952983, "moment": 0, "term": 0, "partial": 0.5752630933114841, "direct": 0.5750178395989543, "error": 0.00024525371252981376, "absoluteError": 0.00024525371252981376, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00017487592017555168 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00017487592017555168 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.4008551463207342, "moment": 2, "term": -0.000195730051914421, "partial": 0.5750673632595696, "direct": 0.5750178395989543, "error": 0.000049523660615391485, "absoluteError": 0.000049523660615391485, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000978650259572105 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0000978650259572105 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.40122751657772193, "moment": 0, "term": 0, "partial": 0.5750673632595696, "direct": 0.5750178395989543, "error": 0.000049523660615391485, "absoluteError": 0.000049523660615391485, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004897796833224145 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00004897796833224145 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.3436116964863836, "x": 0.6737797067844401, "z": 1.8830881303660416, "direct": { "potential": 0.5625217251758385, "ex": 0.46566997283739286, "ez": 0.5332720298565522, "terms": [ { "role": "real", "distance": 1.1107761877479716, "potential": 0.9002713697233974, "ex": 0.4916298497211367, "ez": 0.6443537560582445 }, { "role": "image", "distance": 2.9607729161035103, "potential": -0.3377496445475589, "ex": -0.02595987688374387, "ez": -0.11108172620169235 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5625217251758385, "error": -0.5625217251758385, "absoluteError": 0.5625217251758385, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9415440651830208, "moment": 2, "term": 0.4707720325915104, "partial": 0.4707720325915104, "direct": 0.5625217251758385, "error": -0.09174969258432814, "absoluteError": 0.09174969258432814, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2353860162957552 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2353860162957552 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.8297578400220529, "moment": 0, "term": 0, "partial": 0.4707720325915104, "direct": 0.5625217251758385, "error": -0.09174969258432814, "absoluteError": 0.09174969258432814, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10371973000275661 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.10371973000275661 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.6743932395643967, "moment": 2, "term": 0.08429915494554958, "partial": 0.55507118753706, "direct": 0.5625217251758385, "error": -0.007450537638778565, "absoluteError": 0.007450537638778565, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.04214957747277479 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.04214957747277479 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.4888807865284257, "moment": 0, "term": 0, "partial": 0.55507118753706, "direct": 0.5625217251758385, "error": -0.007450537638778565, "absoluteError": 0.007450537638778565, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.015277524579013303 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.015277524579013303 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.28903045399660643, "moment": 2, "term": 0.009032201687393951, "partial": 0.5641033892244539, "direct": 0.5625217251758385, "error": 0.0015816640486153721, "absoluteError": 0.0015816640486153721, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0045161008436969755 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0045161008436969755 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.09151334369201991, "moment": 0, "term": 0, "partial": 0.5641033892244539, "direct": 0.5625217251758385, "error": 0.0015816640486153721, "absoluteError": 0.0015816640486153721, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0007149479975939056 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0007149479975939056 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.08772181866886553, "moment": 2, "term": -0.0006853267083505119, "partial": 0.5634180625161034, "direct": 0.5625217251758385, "error": 0.0008963373402648411, "absoluteError": 0.0008963373402648411, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00034266335417525596 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00034266335417525596 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.2349378465206389, "moment": 0, "term": 0, "partial": 0.5634180625161034, "direct": 0.5625217251758385, "error": 0.0008963373402648411, "absoluteError": 0.0008963373402648411, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00045886298148562285 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00045886298148562285 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.3398554607757394, "moment": 2, "term": -0.000663780196827616, "partial": 0.5627542823192758, "direct": 0.5625217251758385, "error": 0.00023255714343728418, "absoluteError": 0.00023255714343728418, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000331890098413808 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000331890098413808 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.3965348331469579, "moment": 0, "term": 0, "partial": 0.5627542823192758, "direct": 0.5625217251758385, "error": 0.00023255714343728418, "absoluteError": 0.00023255714343728418, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00019362052399753805 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00019362052399753805 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.40380916243523773, "moment": 2, "term": -0.00019717244259533092, "partial": 0.5625571098766805, "direct": 0.5625217251758385, "error": 0.00003538470084196721, "absoluteError": 0.00003538470084196721, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00009858622129766546 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00009858622129766546 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.36523430030035225, "moment": 0, "term": 0, "partial": 0.5625571098766805, "direct": 0.5625217251758385, "error": 0.00003538470084196721, "absoluteError": 0.00003538470084196721, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000044584265173382844 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000044584265173382844 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.36815538909255385, "x": 0.7197900730699762, "z": 1.865985597669478, "direct": { "potential": 0.5496354369478815, "ex": 0.47619904019748727, "ez": 0.49540845983408444, "terms": [ { "role": "real", "distance": 1.1260678508247381, "potential": 0.8880459550173594, "ex": 0.5040947496632836, "ez": 0.6064807079199122 }, { "role": "image", "distance": 2.9549908959824154, "potential": -0.3384105180694779, "ex": -0.027895709465796354, "ez": -0.11107224808582773 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5496354369478815, "error": -0.5496354369478815, "absoluteError": 0.5496354369478815, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.932992798834739, "moment": 2, "term": 0.4664963994173695, "partial": 0.4664963994173695, "direct": 0.5496354369478815, "error": -0.08313903753051205, "absoluteError": 0.08313903753051205, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.23324819970868474 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.23324819970868474 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.8057133440162196, "moment": 0, "term": 0, "partial": 0.4664963994173695, "direct": 0.5496354369478815, "error": -0.08313903753051205, "absoluteError": 0.08313903753051205, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10071416800202745 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.10071416800202745 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.6308793805971568, "moment": 2, "term": 0.0788599225746446, "partial": 0.5453563219920141, "direct": 0.5496354369478815, "error": -0.0042791149558674135, "absoluteError": 0.0042791149558674135, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0394299612873223 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0394299612873223 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.4257753502911539, "moment": 0, "term": 0, "partial": 0.5453563219920141, "direct": 0.5496354369478815, "error": -0.0042791149558674135, "absoluteError": 0.0042791149558674135, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.013305479696598559 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.013305479696598559 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.21033809985964763, "moment": 2, "term": 0.0065730656206139885, "partial": 0.5519293876126281, "direct": 0.5496354369478815, "error": 0.00229395066474658, "absoluteError": 0.00229395066474658, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0032865328103069942 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0032865328103069942 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.0049677509883664, "moment": 0, "term": 0, "partial": 0.5519293876126281, "direct": 0.5496354369478815, "error": 0.00229395066474658, "absoluteError": 0.00229395066474658, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0000388105545966125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0000388105545966125 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.17168217321096227, "moment": 2, "term": -0.0013412669782106427, "partial": 0.5505881206344174, "direct": 0.5496354369478815, "error": 0.0009526836865358934, "absoluteError": 0.0009526836865358934, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0006706334891053214 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0006706334891053214 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.3046809657913071, "moment": 0, "term": 0, "partial": 0.5505881206344174, "direct": 0.5496354369478815, "error": 0.0009526836865358934, "absoluteError": 0.0009526836865358934, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005950800113111467 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005950800113111467 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.38433890152693917, "moment": 2, "term": -0.0007506619170448031, "partial": 0.5498374587173727, "direct": 0.5496354369478815, "error": 0.00020202176949113415, "absoluteError": 0.00020202176949113415, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00037533095852240153 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00037533095852240153 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.4070994429175309, "moment": 0, "term": 0, "partial": 0.5498374587173727, "direct": 0.5496354369478815, "error": 0.00020202176949113415, "absoluteError": 0.00020202176949113415, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00019877902486207564 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00019877902486207564 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.37571352785600937, "moment": 2, "term": -0.00018345387102344207, "partial": 0.5496540048463492, "direct": 0.5496354369478815, "error": 0.000018567898467658495, "absoluteError": 0.000018567898467658495, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00009172693551172104 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00009172693551172104 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.29869004116162934, "moment": 0, "term": 0, "partial": 0.5496540048463492, "direct": 0.5496354369478815, "error": 0.000018567898467658495, "absoluteError": 0.000018567898467658495, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000036461186665237956 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000036461186665237956 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.39269908169872414, "x": 0.7653668647301796, "z": 1.8477590650225735, "direct": { "potential": 0.5364309351814529, "ex": 0.4838547999334932, "ez": 0.4579434599211665, "terms": [ { "role": "real", "distance": 1.1421391640053558, "potential": 0.8755500481159498, "ex": 0.5137035712608675, "ez": 0.569004067643298 }, { "role": "image", "distance": 2.948816394766746, "potential": -0.33911911293449687, "ex": -0.029848771327374363, "ez": -0.11106060772213157 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5364309351814529, "error": -0.5364309351814529, "absoluteError": 0.5364309351814529, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9238795325112867, "moment": 2, "term": 0.46193976625564337, "partial": 0.46193976625564337, "direct": 0.5364309351814529, "error": -0.07449116892580954, "absoluteError": 0.07449116892580954, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.23096988312782168 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.23096988312782168 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 0, "term": 0, "partial": 0.46193976625564337, "direct": 0.5364309351814529, "error": -0.07449116892580954, "absoluteError": 0.07449116892580954, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.09754126073623881 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.09754126073623881 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.5856319699199135, "moment": 2, "term": 0.07320399623998919, "partial": 0.5351437624956326, "direct": 0.5364309351814529, "error": -0.001287172685820348, "absoluteError": 0.001287172685820348, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.036601998119994594 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.036601998119994594 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.361595869120796, "moment": 0, "term": 0, "partial": 0.5351437624956326, "direct": 0.5364309351814529, "error": -0.001287172685820348, "absoluteError": 0.001287172685820348, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.011299870910024875 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.011299870910024875 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.13282226460246935, "moment": 2, "term": 0.004150695768827167, "partial": 0.5392944582644598, "direct": 0.5364309351814529, "error": 0.002863523083006858, "absoluteError": 0.002863523083006858, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0020753478844135836 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0020753478844135836 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 0, "term": 0, "partial": 0.5392944582644598, "direct": 0.5364309351814529, "error": 0.002863523083006858, "absoluteError": 0.002863523083006858, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005965492924423988 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005965492924423988 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2448614310714851, "moment": 2, "term": -0.0019129799302459772, "partial": 0.5373814783342138, "direct": 0.5364309351814529, "error": 0.0009505431527608854, "absoluteError": 0.0009505431527608854, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0009564899651229886 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0009564899651229886 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 0, "term": 0, "partial": 0.5373814783342138, "direct": 0.5364309351814529, "error": 0.0009505431527608854, "absoluteError": 0.0009505431527608854, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0006979562502434412 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0006979562502434412 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.40596522898250775, "moment": 2, "term": -0.0007929008378564605, "partial": 0.5365885774963572, "direct": 0.5364309351814529, "error": 0.00015764231490433822, "absoluteError": 0.00015764231490433822, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00039645041892823023 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00039645041892823023 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 0, "term": 0, "partial": 0.5365885774963572, "direct": 0.5364309351814529, "error": 0.00015764231490433822, "absoluteError": 0.00015764231490433822, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00019091865001337704 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00019091865001337704 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.3205772382807112, "moment": 2, "term": -0.00015653185462925352, "partial": 0.5364320456417281, "direct": 0.5364309351814529, "error": 0.0000011104602751776937, "absoluteError": 0.0000011104602751776937, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00007826592731462676 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00007826592731462676 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 0, "term": 0, "partial": 0.5364320456417281, "direct": 0.5364309351814529, "error": 0.0000011104602751776937, "absoluteError": 0.0000011104602751776937, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000025543252363475826 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000025543252363475826 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.4172427743048944, "x": 0.8104826280099797, "z": 1.8284195114070614, "direct": { "potential": 0.5229754510466312, "ex": 0.4888365490386434, "ez": 0.42113311325563246, "terms": [ { "role": "real", "distance": 1.1589482202350014, "potential": 0.8628513185836971, "ex": 0.5206568804081722, "ez": 0.5321795971586842 }, { "role": "image", "distance": 2.9422506730076763, "potential": -0.3398758675370659, "ex": -0.031820331369528755, "ez": -0.11104648390305177 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5229754510466312, "error": -0.5229754510466312, "absoluteError": 0.5229754510466312, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9142097557035307, "moment": 2, "term": 0.45710487785176535, "partial": 0.45710487785176535, "direct": 0.5229754510466312, "error": -0.06587057319486589, "absoluteError": 0.06587057319486589, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.22855243892588267 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.22855243892588267 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.753669216135264, "moment": 0, "term": 0, "partial": 0.45710487785176535, "direct": 0.5229754510466312, "error": -0.06587057319486589, "absoluteError": 0.06587057319486589, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.094208652016908 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.094208652016908 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.5388797461381315, "moment": 2, "term": 0.06735996826726644, "partial": 0.5244648461190318, "direct": 0.5229754510466312, "error": 0.0014893950724005345, "absoluteError": 0.0014893950724005345, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03367998413363322 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.03367998413363322 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.29688404977196514, "moment": 0, "term": 0, "partial": 0.5244648461190318, "direct": 0.5229754510466312, "error": 0.0014893950724005345, "absoluteError": 0.0014893950724005345, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00927762655537391 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00927762655537391 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.05744193339524042, "moment": 2, "term": 0.001795060418601263, "partial": 0.526259906537633, "direct": 0.5229754510466312, "error": 0.0032844554910017587, "absoluteError": 0.0032844554910017587, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008975302093006315 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0008975302093006315 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.15112775233323536, "moment": 0, "term": 0, "partial": 0.526259906537633, "direct": 0.5229754510466312, "error": 0.0032844554910017587, "absoluteError": 0.0032844554910017587, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011806855651034013 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0011806855651034013 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.3058233789141604, "moment": 2, "term": -0.002389245147766878, "partial": 0.5238706613898662, "direct": 0.5229754510466312, "error": 0.0008952103432349201, "absoluteError": 0.0008952103432349201, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.001194622573883439 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.001194622573883439 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.39198831019381186, "moment": 0, "term": 0, "partial": 0.5238706613898662, "direct": 0.5229754510466312, "error": 0.0008952103432349201, "absoluteError": 0.0008952103432349201, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007656021683472888 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007656021683472888 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.4050583447558261, "moment": 2, "term": -0.0007911295796012228, "partial": 0.5230795318102649, "direct": 0.5229754510466312, "error": 0.0001040807636336627, "absoluteError": 0.0001040807636336627, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0003955647898006114 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0003955647898006114 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.3507962725948798, "moment": 0, "term": 0, "partial": 0.5230795318102649, "direct": 0.5229754510466312, "error": 0.0001040807636336627, "absoluteError": 0.0001040807636336627, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00017128724247796864 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00017128724247796864 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.2440132200478088, "moment": 2, "term": -0.00011914708010146913, "partial": 0.5229603847301635, "direct": 0.5229754510466312, "error": -0.00001506631646774892, "absoluteError": 0.00001506631646774892, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005957354005073457 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005957354005073457 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.1060053438406769, "moment": 0, "term": 0, "partial": 0.5229603847301635, "direct": 0.5229754510466312, "error": -0.00001506631646774892, "absoluteError": 0.00001506631646774892, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00001294010544930138 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00001294010544930138 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.44178646691106466, "x": 0.8551101868605642, "z": 1.8079785862468867, "direct": { "potential": 0.5093310978411245, "ex": 0.49135575057142883, "ez": 0.38519194911498345, "terms": [ { "role": "real", "distance": 1.1764534956836274, "potential": 0.8500123495480016, "ex": 0.5251674331244701, "ez": 0.4962214772772983 }, { "role": "image", "distance": 2.9352950741780246, "potential": -0.3406812517068771, "ex": -0.03381168255304127, "ez": -0.11102952816231489 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.5093310978411245, "error": -0.5093310978411245, "absoluteError": 0.5093310978411245, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.9039892931234433, "moment": 2, "term": 0.45199464656172167, "partial": 0.45199464656172167, "direct": 0.5093310978411245, "error": -0.057336451279402845, "absoluteError": 0.057336451279402845, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.22599732328086083 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.22599732328086083 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 0, "term": 0, "partial": 0.45199464656172167, "direct": 0.5093310978411245, "error": -0.057336451279402845, "absoluteError": 0.057336451279402845, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.09072437039034176 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.09072437039034176 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.4908585973608312, "moment": 2, "term": 0.0613573246701039, "partial": 0.5133519712318255, "direct": 0.5093310978411245, "error": 0.0040208733907010075, "absoluteError": 0.0040208733907010075, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03067866233505195 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.03067866233505195 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 0, "term": 0, "partial": 0.5133519712318255, "direct": 0.5093310978411245, "error": 0.0040208733907010075, "absoluteError": 0.0040208733907010075, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.007255715045267789 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.007255715045267789 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.014883367911763479, "moment": 2, "term": -0.0004651052472426087, "partial": 0.512886865984583, "direct": 0.5093310978411245, "error": 0.003555768143458482, "absoluteError": 0.003555768143458482, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00023255262362130436 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00023255262362130436 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 0, "term": 0, "partial": 0.512886865984583, "direct": 0.5093310978411245, "error": 0.003555768143458482, "absoluteError": 0.003555768143458482, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0017043136261187624 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0017043136261187624 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.3534847751479016, "moment": 2, "term": -0.0027615998058429813, "partial": 0.51012526617874, "direct": 0.5093310978411245, "error": 0.0007941683376154751, "absoluteError": 0.0007941683376154751, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0013807999029214907 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0013807999029214907 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.408266471404419, "moment": 0, "term": 0, "partial": 0.51012526617874, "direct": 0.5093310978411245, "error": 0.0007941683376154751, "absoluteError": 0.0007941683376154751, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007973954519617559 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007973954519617559 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.38292073555131134, "moment": 2, "term": -0.000747892061623655, "partial": 0.5093773741171164, "direct": 0.5093310978411245, "error": 0.000046276275991852245, "absoluteError": 0.000046276275991852245, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0003739460308118275 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0003739460308118275 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 0, "term": 0, "partial": 0.5093773741171164, "direct": 0.5093310978411245, "error": 0.000046276275991852245, "absoluteError": 0.000046276275991852245, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00014172707096551113 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00014172707096551113 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.1528151867784473, "moment": 2, "term": -0.00007461679041916372, "partial": 0.5093027573266972, "direct": 0.5093310978411245, "error": -0.00002834051442734964, "absoluteError": 0.00002834051442734964, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003730839520958186 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00003730839520958186 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 0, "term": 0, "partial": 0.5093027573266972, "direct": 0.5093310978411245, "error": -0.00002834051442734964, "absoluteError": 0.00002834051442734964, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 1.579968587280022e-7 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -1.579968587280022e-7 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.4663301595172349, "x": 0.8992226593092131, "z": 1.7864486023910306, "direct": { "potential": 0.49555465247613895, "ex": 0.49162957299739807, "ez": 0.3502948908392478, "terms": [ { "role": "real", "distance": 1.194614077942303, "potential": 0.8370904197968925, "ex": 0.5274537166449, "ez": 0.4613042542766874 }, { "role": "image", "distance": 2.927951024997184, "potential": -0.3415357673207535, "ex": -0.035824143647501965, "ez": -0.1110093634374396 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.49555465247613895, "error": -0.49555465247613895, "absoluteError": 0.49555465247613895, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8932243011955153, "moment": 2, "term": 0.44661215059775766, "partial": 0.44661215059775766, "direct": 0.49555465247613895, "error": -0.048942501878381284, "absoluteError": 0.048942501878381284, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.22330607529887883 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.22330607529887883 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.696774478369325, "moment": 0, "term": 0, "partial": 0.44661215059775766, "direct": 0.49555465247613895, "error": -0.048942501878381284, "absoluteError": 0.048942501878381284, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.08709680979616563 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.08709680979616563 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.4418102934235066, "moment": 2, "term": 0.05522628667793832, "partial": 0.501838437275696, "direct": 0.49555465247613895, "error": 0.006283784799557046, "absoluteError": 0.006283784799557046, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02761314333896916 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.02761314333896916 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.16803159978035132, "moment": 0, "term": 0, "partial": 0.501838437275696, "direct": 0.49555465247613895, "error": 0.006283784799557046, "absoluteError": 0.006283784799557046, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005250987493135979 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.005250987493135979 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.08328639981218137, "moment": 2, "term": -0.002602699994130668, "partial": 0.49923573728156534, "direct": 0.49555465247613895, "error": 0.0036810848054263934, "absoluteError": 0.0036810848054263934, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.001301349997065334 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.001301349997065334 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.27641429964772374, "moment": 0, "term": 0, "partial": 0.49923573728156534, "direct": 0.49555465247613895, "error": 0.0036810848054263934, "absoluteError": 0.0036810848054263934, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0021594867159978417 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0021594867159978417 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.387140172355661, "moment": 2, "term": -0.0030245325965286016, "partial": 0.4962112046850367, "direct": 0.49555465247613895, "error": 0.0006565522088977649, "absoluteError": 0.0006565522088977649, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0015122662982643008 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0015122662982643008 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.406518131402798, "moment": 0, "term": 0, "partial": 0.4962112046850367, "direct": 0.49555465247613895, "error": 0.0006565522088977649, "absoluteError": 0.0006565522088977649, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007939807253960899 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007939807253960899 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.3417533862810464, "moment": 2, "term": -0.0006674870825801688, "partial": 0.4955437176024565, "direct": 0.49555465247613895, "error": -0.000010934873682422186, "absoluteError": 0.000010934873682422186, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0003337435412900844 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0003337435412900844 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.2141322980574502, "moment": 0, "term": 0, "partial": 0.4955437176024565, "direct": 0.49555465247613895, "error": -0.000010934873682422186, "absoluteError": 0.000010934873682422186, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00010455678616086436 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00010455678616086436 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.05446343230912792, "moment": 2, "term": -0.000026593472807191366, "partial": 0.4955171241296494, "direct": 0.49555465247613895, "error": -0.000037528346489568154, "absoluteError": 0.000037528346489568154, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000013296736403595683 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000013296736403595683 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.10304582246135513, "moment": 0, "term": 0, "partial": 0.4955171241296494, "direct": 0.49555465247613895, "error": -0.000037528346489568154, "absoluteError": 0.000037528346489568154, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00001257883574967714 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00001257883574967714 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.4908738521234052, "x": 0.9427934736519953, "z": 1.76384252869671, "direct": { "potential": 0.4816974831029002, "ex": 0.4898754405095802, "ez": 0.3165800162126847, "terms": [ { "role": "real", "distance": 1.2133898559847036, "potential": 0.8241374320609174, "ex": 0.5277345015352255, "ez": 0.4275655988280201 }, { "role": "image", "distance": 2.9202200357838484, "potential": -0.34243994895801716, "ex": -0.03785906102564529, "ez": -0.11098558261533537 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.4816974831029002, "error": -0.4816974831029002, "absoluteError": 0.4816974831029002, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.881921264348355, "moment": 2, "term": 0.4409606321741775, "partial": 0.4409606321741775, "direct": 0.4816974831029002, "error": -0.0407368509287227, "absoluteError": 0.0407368509287227, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.22048031608708876 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.22048031608708876 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.6666776747647019, "moment": 0, "term": 0, "partial": 0.4409606321741775, "direct": 0.4816974831029002, "error": -0.0407368509287227, "absoluteError": 0.0407368509287227, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.08333470934558773 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.08333470934558773 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.3919811868366088, "moment": 2, "term": 0.0489976483545761, "partial": 0.4899582805287536, "direct": 0.4816974831029002, "error": 0.008260797425853394, "absoluteError": 0.008260797425853394, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02449882417728805 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.02449882417728805 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.1049606957439676, "moment": 0, "term": 0, "partial": 0.4899582805287536, "direct": 0.4816974831029002, "error": 0.008260797425853394, "absoluteError": 0.008260797425853394, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0032800217419989876 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0032800217419989876 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.1469642243739618, "moment": 2, "term": -0.004592632011686307, "partial": 0.4853656485170673, "direct": 0.4816974831029002, "error": 0.0036681654141670905, "absoluteError": 0.0036681654141670905, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0022963160058431533 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0022963160058431533 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.3250871831720492, "moment": 0, "term": 0, "partial": 0.4853656485170673, "direct": 0.4816974831029002, "error": 0.0036681654141670905, "absoluteError": 0.0036681654141670905, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0025397436185316345 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0025397436185316345 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.40647593552017647, "moment": 2, "term": -0.0031755932462513787, "partial": 0.48219005527081593, "direct": 0.4816974831029002, "error": 0.0004925721679157058, "absoluteError": 0.0004925721679157058, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0015877966231256893 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0015877966231256893 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.387698285314084, "moment": 0, "term": 0, "partial": 0.48219005527081593, "direct": 0.4816974831029002, "error": 0.0004925721679157058, "absoluteError": 0.0004925721679157058, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007572232135040703 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007572232135040703 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.2845357410362949, "moment": 2, "term": -0.0005557338692115135, "partial": 0.48163432140160445, "direct": 0.4816974831029002, "error": -0.00006316170129577747, "absoluteError": 0.00006316170129577747, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00027786693460575676 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00027786693460575676 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.12785397214267258, "moment": 0, "term": 0, "partial": 0.48163432140160445, "direct": 0.4816974831029002, "error": -0.00006316170129577747, "absoluteError": 0.00006316170129577747, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006242869733528934 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00006242869733528934 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.04340523075622007, "moment": 2, "term": 0.00002119396033018558, "partial": 0.4816555153619346, "direct": 0.4816974831029002, "error": -0.0000419677409655983, "absoluteError": 0.0000419677409655983, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00001059698016509279 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00001059698016509279 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.19056946677417716, "moment": 0, "term": 0, "partial": 0.4816555153619346, "direct": 0.4816974831029002, "error": -0.0000419677409655983, "absoluteError": 0.0000419677409655983, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000023262874362082173 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000023262874362082173 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.5154175447295755, "x": 0.9857963844595681, "z": 1.740173982217423, "direct": { "potential": 0.46780559792598925, "ex": 0.4863065957511511, "ez": 0.28415185220813854, "terms": [ { "role": "real", "distance": 1.2327416743037263, "potential": 0.8111999625264695, "ex": 0.5262244062568788, "ez": 0.39510959916198396 }, { "role": "image", "distance": 2.912103700838081, "potential": -0.3433943646004803, "ex": -0.039917810505727735, "ez": -0.11095774695384539 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.46780559792598925, "error": -0.46780559792598925, "absoluteError": 0.46780559792598925, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8700869911087115, "moment": 2, "term": 0.43504349555435573, "partial": 0.43504349555435573, "direct": 0.46780559792598925, "error": -0.03276210237163352, "absoluteError": 0.03276210237163352, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.21752174777717787 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.21752174777717787 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.6355770581449165, "moment": 0, "term": 0, "partial": 0.43504349555435573, "direct": 0.46780559792598925, "error": -0.03276210237163352, "absoluteError": 0.03276210237163352, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.07944713226811456 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.07944713226811456 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.34162088949258723, "moment": 2, "term": 0.042702611186573404, "partial": 0.47774610674092916, "direct": 0.46780559792598925, "error": 0.009940508814939908, "absoluteError": 0.009940508814939908, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.021351305593286702 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.021351305593286702 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.04348701710866465, "moment": 0, "term": 0, "partial": 0.47774610674092916, "direct": 0.46780559792598925, "error": 0.009940508814939908, "absoluteError": 0.009940508814939908, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0013589692846457703 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0013589692846457703 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.20518923343100184, "moment": 2, "term": -0.006412163544718808, "partial": 0.4713339431962103, "direct": 0.46780559792598925, "error": 0.003528345270221056, "absoluteError": 0.003528345270221056, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.003206081772359404 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.003206081772359404 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.3635487325843401, "moment": 0, "term": 0, "partial": 0.4713339431962103, "direct": 0.46780559792598925, "error": 0.003528345270221056, "absoluteError": 0.003528345270221056, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.002840224473315157 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.002840224473315157 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.41157312807685875, "moment": 2, "term": -0.003215415063100459, "partial": 0.4681185281331099, "direct": 0.46780559792598925, "error": 0.000312930207120643, "absoluteError": 0.000312930207120643, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0016077075315502295 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0016077075315502295 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.3533406551691918, "moment": 0, "term": 0, "partial": 0.4681185281331099, "direct": 0.46780559792598925, "error": 0.000312930207120643, "absoluteError": 0.000312930207120643, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0006901184671273277 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0006901184671273277 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.2148717558620398, "moment": 2, "term": -0.0004196713981680465, "partial": 0.4676988567349418, "direct": 0.46780559792598925, "error": -0.00010674119104742141, "absoluteError": 0.00010674119104742141, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00020983569908402324 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00020983569908402324 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.03721193745899827, "moment": 0, "term": 0, "partial": 0.4676988567349418, "direct": 0.46780559792598925, "error": -0.00010674119104742141, "absoluteError": 0.00010674119104742141, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000181698913374015 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0000181698913374015 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.13352613472571503, "moment": 2, "term": 0.00006519830797154054, "partial": 0.46776405504291335, "direct": 0.46780559792598925, "error": -0.00004154288307589571, "absoluteError": 0.00004154288307589571, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003259915398577027 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00003259915398577027 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.2567880355333399, "moment": 0, "term": 0, "partial": 0.46776405504291335, "direct": 0.46780559792598925, "error": -0.00004154288307589571, "absoluteError": 0.00004154288307589571, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000031346195743815905 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000031346195743815905 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.5399612373357456, "x": 1.0282054883864433, "z": 1.7154572200005442, "direct": { "potential": 0.453919790869343, "ex": 0.4811286258533116, "ez": 0.2530849655691117, "terms": [ { "role": "real", "distance": 1.252631454179126, "potential": 0.7983194072476167, "ex": 0.5231304250980304, "ez": 0.36401034994054654 }, { "role": "image", "distance": 2.903603698854423, "potential": -0.34439961637827377, "ex": -0.04200179924471882, "ez": -0.11092538437143486 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.453919790869343, "error": -0.453919790869343, "absoluteError": 0.453919790869343, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8577286100002721, "moment": 2, "term": 0.42886430500013606, "partial": 0.42886430500013606, "direct": 0.453919790869343, "error": -0.025055485869206917, "absoluteError": 0.025055485869206917, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.21443215250006803 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.21443215250006803 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 0, "term": 0, "partial": 0.42886430500013606, "direct": 0.453919790869343, "error": -0.025055485869206917, "absoluteError": 0.025055485869206917, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.07544344407743728 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.07544344407743728 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.2909809322954658, "moment": 2, "term": 0.036372616536933224, "partial": 0.4652369215370693, "direct": 0.453919790869343, "error": 0.011317130667726327, "absoluteError": 0.011317130667726327, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.018186308268466612 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.018186308268466612 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.01589099092447066, "moment": 0, "term": 0, "partial": 0.4652369215370693, "direct": 0.453919790869343, "error": 0.011317130667726327, "absoluteError": 0.011317130667726327, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0004965934663897081 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0004965934663897081 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.2573190294392843, "moment": 2, "term": -0.008041219669977635, "partial": 0.45719570186709163, "direct": 0.453919790869343, "error": 0.0032759109977486545, "absoluteError": 0.0032759109977486545, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.004020609834988817 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.004020609834988817 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.39139231221683124, "moment": 0, "term": 0, "partial": 0.45719570186709163, "direct": 0.453919790869343, "error": 0.0032759109977486545, "absoluteError": 0.0032759109977486545, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.003057752439193994 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.003057752439193994 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.40289925919389297, "moment": 2, "term": -0.003147650462452289, "partial": 0.4540480514046394, "direct": 0.453919790869343, "error": 0.00012826053529640946, "absoluteError": 0.00012826053529640946, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0015738252312261444 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0015738252312261444 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.3054908922324923, "moment": 0, "term": 0, "partial": 0.4540480514046394, "direct": 0.453919790869343, "error": 0.00012826053529640946, "absoluteError": 0.00012826053529640946, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005966618988915866 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005966618988915866 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.13680962873425248, "moment": 2, "term": -0.0002672063061215869, "partial": 0.4537808450985178, "direct": 0.453919790869343, "error": -0.0001389457708251829, "absoluteError": 0.0001389457708251829, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00013360315306079344 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00013360315306079344 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.0519852909003641, "moment": 0, "term": 0, "partial": 0.4537808450985178, "direct": 0.453919790869343, "error": -0.0001389457708251829, "absoluteError": 0.0001389457708251829, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000025383442822443408 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000025383442822443408 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.2094973622486851, "moment": 2, "term": 0.00010229363391049077, "partial": 0.45388313873242825, "direct": 0.453919790869343, "error": -0.000036652136914727684, "absoluteError": 0.000036652136914727684, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000051146816955245384 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000051146816955245384 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.29675625587188526, "moment": 0, "term": 0, "partial": 0.45388313873242825, "direct": 0.453919790869343, "error": -0.000036652136914727684, "absoluteError": 0.000036652136914727684, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003622512889061099 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00003622512889061099 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.5645049299419159, "x": 1.0699952397741943, "z": 1.6897071304994142, "direct": { "potential": 0.44007586141714916, "ex": 0.47453686843826326, "ez": 0.2234276542455223, "terms": [ { "role": "real", "distance": 1.273022285351349, "potential": 0.7855322027799411, "ex": 0.5186493361233179, "ez": 0.3343156418420423 }, { "role": "image", "distance": 2.894721793367858, "potential": -0.3454563413627919, "ex": -0.04411246768505459, "ez": -0.11088798759652002 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.44007586141714916, "error": -0.44007586141714916, "absoluteError": 0.44007586141714916, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8448535652497071, "moment": 2, "term": 0.42242678262485356, "partial": 0.42242678262485356, "direct": 0.44007586141714916, "error": -0.017649078792295603, "absoluteError": 0.017649078792295603, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.21121339131242678 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.21121339131242678 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.5706663200727118, "moment": 0, "term": 0, "partial": 0.42242678262485356, "direct": 0.44007586141714916, "error": -0.017649078792295603, "absoluteError": 0.017649078792295603, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.07133329000908897 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.07133329000908897 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.2403134149691303, "moment": 2, "term": 0.03003917687114129, "partial": 0.45246595949599483, "direct": 0.44007586141714916, "error": 0.012390098078845668, "absoluteError": 0.012390098078845668, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.015019588435570644 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.015019588435570644 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.0726978605800302, "moment": 0, "term": 0, "partial": 0.45246595949599483, "direct": 0.44007586141714916, "error": 0.012390098078845668, "absoluteError": 0.012390098078845668, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0022718081431259435 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0022718081431259435 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.30280501603002064, "moment": 2, "term": -0.009462656750938145, "partial": 0.4430033027450567, "direct": 0.44007586141714916, "error": 0.002927441327907565, "absoluteError": 0.002927441327907565, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.004731328375469072 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.004731328375469072 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.40843259469214716, "moment": 0, "term": 0, "partial": 0.4430033027450567, "direct": 0.44007586141714916, "error": 0.002927441327907565, "absoluteError": 0.002927441327907565, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0031908796460323996 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0031908796460323996 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.38128920615541645, "moment": 2, "term": -0.002978821923089191, "partial": 0.4400244808219675, "direct": 0.44007586141714916, "error": -0.000051380595181671485, "absoluteError": 0.000051380595181671485, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0014894109615445955 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0014894109615445955 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.2466218769161853, "moment": 0, "term": 0, "partial": 0.4400244808219675, "direct": 0.44007586141714916, "error": -0.000051380595181671485, "absoluteError": 0.000051380595181671485, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00048168335335192444 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00048168335335192444 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.05464396382636662, "moment": 2, "term": -0.0001067264918483723, "partial": 0.43991775433011915, "direct": 0.44007586141714916, "error": -0.00015810708703001275, "absoluteError": 0.00015810708703001275, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005336324592418615 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005336324592418615 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.1342440086742112, "moment": 0, "term": 0, "partial": 0.43991775433011915, "direct": 0.44007586141714916, "error": -0.00015810708703001275, "absoluteError": 0.00015810708703001275, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0000655488323604547 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0000655488323604547 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.2661987958583532, "moment": 2, "term": 0.00012997988079021153, "partial": 0.44004773421090937, "direct": 0.44007586141714916, "error": -0.000028127206239791924, "absoluteError": 0.000028127206239791924, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00006498994039510576 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00006498994039510576 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.3079994120620147, "moment": 0, "term": 0, "partial": 0.44004773421090937, "direct": 0.44007586141714916, "error": -0.000028127206239791924, "absoluteError": 0.000028127206239791924, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000037597584480226404 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000037597584480226404 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.5890486225480862, "x": 1.1111404660392044, "z": 1.6629392246050905, "direct": { "potential": 0.42630488827165475, "ex": 0.4667145940149335, "ez": 0.1952055879361273, "terms": [ { "role": "real", "distance": 1.2938784915090824, "potential": 0.7728701006797596, "ex": 0.5129658855726006, "ez": 0.30605060010330404 }, { "role": "image", "distance": 2.885459833234589, "potential": -0.34656521240810484, "ex": -0.046251291557667114, "ez": -0.11084501216717675 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.42630488827165475, "error": -0.42630488827165475, "absoluteError": 0.42630488827165475, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8314696123025452, "moment": 2, "term": 0.4157348061512726, "partial": 0.4157348061512726, "direct": 0.42630488827165475, "error": -0.01057008212038213, "absoluteError": 0.01057008212038213, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.2078674030756363 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.2078674030756363 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.5370125742738172, "moment": 0, "term": 0, "partial": 0.4157348061512726, "direct": 0.42630488827165475, "error": -0.01057008212038213, "absoluteError": 0.01057008212038213, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.06712657178422715 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.06712657178422715 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.18986965335337413, "moment": 2, "term": 0.023733706669171767, "partial": 0.4394685128204444, "direct": 0.42630488827165475, "error": 0.013163624548789665, "absoluteError": 0.013163624548789665, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.011866853334585883 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.011866853334585883 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.12648544834730274, "moment": 0, "term": 0, "partial": 0.4394685128204444, "direct": 0.42630488827165475, "error": 0.013163624548789665, "absoluteError": 0.013163624548789665, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.003952670260853211 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.003952670260853211 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.34119957474134105, "moment": 2, "term": -0.010662486710666908, "partial": 0.42880602610977747, "direct": 0.42630488827165475, "error": 0.0025011378381227245, "absoluteError": 0.0025011378381227245, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005331243355333454 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.005331243355333454 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.41470676961187064, "moment": 0, "term": 0, "partial": 0.42880602610977747, "direct": 0.42630488827165475, "error": 0.0025011378381227245, "absoluteError": 0.0025011378381227245, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0032398966375927394 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0032398966375927394 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.3479159359830647, "moment": 2, "term": -0.002718093249867693, "partial": 0.42608793285990976, "direct": 0.42630488827165475, "error": -0.0002169554117449901, "absoluteError": 0.0002169554117449901, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0013590466249338465 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0013590466249338465 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.17953444235033056, "moment": 0, "term": 0, "partial": 0.42608793285990976, "direct": 0.42630488827165475, "error": -0.0002169554117449901, "absoluteError": 0.0002169554117449901, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00035065320771548937 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00035065320771548937 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.027290124874756277, "moment": 2, "term": 0.00005330102514600835, "partial": 0.4261412338850558, "direct": 0.42630488827165475, "error": -0.0001636543865989326, "absoluteError": 0.0001636543865989326, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000026650512573004177 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000026650512573004177 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.20469372625897062, "moment": 0, "term": 0, "partial": 0.4261412338850558, "direct": 0.42630488827165475, "error": -0.0001636543865989326, "absoluteError": 0.0001636543865989326, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000099948108524888 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000099948108524888 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.3001116026119945, "moment": 2, "term": 0.00014653886846288793, "partial": 0.4262877727535187, "direct": 0.42630488827165475, "error": -0.00001711551813604606, "absoluteError": 0.00001711551813604606, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007326943423144397 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00007326943423144397 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.2906369668492505, "moment": 0, "term": 0, "partial": 0.4262877727535187, "direct": 0.42630488827165475, "error": -0.00001711551813604606, "absoluteError": 0.00001711551813604606, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003547814536734015 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00003547814536734015 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.6135923151542565, "x": 1.1516163828356907, "z": 1.6351696263031674, "direct": { "potential": 0.41263353914115974, "ex": 0.4578318523126138, "ez": 0.1684252860119873, "terms": [ { "role": "real", "distance": 1.3151656729833185, "potential": 0.7603604781834082, "ex": 0.506251636256563, "ez": 0.27922116028313465 }, { "role": "image", "distance": 2.875819753149758, "potential": -0.3477269390422485, "ex": -0.048419783943949184, "ez": -0.11079587427114734 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.41263353914115974, "error": -0.41263353914115974, "absoluteError": 0.41263353914115974, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8175848131515837, "moment": 2, "term": 0.40879240657579186, "partial": 0.40879240657579186, "direct": 0.41263353914115974, "error": -0.0038411325653678885, "absoluteError": 0.0038411325653678885, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.20439620328789593 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.20439620328789593 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.5026673900441652, "moment": 0, "term": 0, "partial": 0.40879240657579186, "direct": 0.41263353914115974, "error": -0.0038411325653678885, "absoluteError": 0.0038411325653678885, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.06283342375552065 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.06283342375552065 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.13989883151003246, "moment": 2, "term": 0.017487353938754058, "partial": 0.4262797605145459, "direct": 0.41263353914115974, "error": 0.01364622137338617, "absoluteError": 0.01364622137338617, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.008743676969377029 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.008743676969377029 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.176837012497678, "moment": 0, "term": 0, "partial": 0.4262797605145459, "direct": 0.41263353914115974, "error": 0.01364622137338617, "absoluteError": 0.01364622137338617, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005526156640552437 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.005526156640552437 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.372161725686183, "moment": 2, "term": -0.011630053927693219, "partial": 0.4146497065868527, "direct": 0.41263353914115974, "error": 0.00201616744569294, "absoluteError": 0.00201616744569294, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005815026963846609 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.005815026963846609 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.41047107700700125, "moment": 0, "term": 0, "partial": 0.4146497065868527, "direct": 0.41263353914115974, "error": 0.00201616744569294, "absoluteError": 0.00201616744569294, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0032068052891171973 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0032068052891171973 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.3042519414669403, "moment": 2, "term": -0.002376968292710471, "partial": 0.41227273829414224, "direct": 0.41263353914115974, "error": -0.00036080084701750614, "absoluteError": 0.00036080084701750614, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011884841463552355 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0011884841463552355 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.10724737020997693, "moment": 0, "term": 0, "partial": 0.41227273829414224, "direct": 0.41263353914115974, "error": -0.00036080084701750614, "absoluteError": 0.00036080084701750614, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002094675199413612 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0002094675199413612 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.10482117471727068, "moment": 2, "term": 0.0002047288568696693, "partial": 0.4124774671510119, "direct": 0.41263353914115974, "error": -0.00015607199014783246, "absoluteError": 0.00015607199014783246, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00010236442843483464 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00010236442843483464 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.2593530142255228, "moment": 0, "term": 0, "partial": 0.4124774671510119, "direct": 0.41263353914115974, "error": -0.00015607199014783246, "absoluteError": 0.00015607199014783246, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00012663721397730606 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00012663721397730606 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.30951755018369537, "moment": 2, "term": 0.0001511316163006325, "partial": 0.4126285987673125, "direct": 0.41263353914115974, "error": -0.000004940373847239776, "absoluteError": 0.000004940373847239776, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007556580815031625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00007556580815031625 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.247285363125243, "moment": 0, "term": 0, "partial": 0.4126285987673125, "direct": 0.41263353914115974, "error": -0.000004940373847239776, "absoluteError": 0.000004940373847239776, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003018620155337439 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00003018620155337439 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.6381360077604268, "x": 1.1913986089848667, "z": 1.6064150629612899, "direct": { "potential": 0.3990844017500024, "ex": 0.4480448697875188, "ez": 0.14307735617422052, "terms": [ { "role": "real", "distance": 1.3368507299161791, "potential": 0.7480266701598766, "ex": 0.49866436718676, "ez": 0.2538173045894096 }, { "role": "image", "distance": 2.865803574204376, "potential": -0.34894226840987413, "ex": -0.05061949739924124, "ez": -0.1107399484151891 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.3990844017500024, "error": -0.3990844017500024, "absoluteError": 0.3990844017500024, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.8032075314806449, "moment": 2, "term": 0.40160376574032247, "partial": 0.40160376574032247, "direct": 0.3990844017500024, "error": 0.002519363990320045, "absoluteError": 0.002519363990320045, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.20080188287016124 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.20080188287016124 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.4677135079408469, "moment": 0, "term": 0, "partial": 0.40160376574032247, "direct": 0.3990844017500024, "error": 0.002519363990320045, "absoluteError": 0.002519363990320045, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05846418849260586 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.05846418849260586 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.09064666593510447, "moment": 2, "term": 0.011330833241888058, "partial": 0.4129345989822105, "direct": 0.3990844017500024, "error": 0.013850197232208095, "absoluteError": 0.013850197232208095, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005665416620944029 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005665416620944029 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.22337098258593474, "moment": 0, "term": 0, "partial": 0.4129345989822105, "direct": 0.3990844017500024, "error": 0.013850197232208095, "absoluteError": 0.013850197232208095, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006980343205810461 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.006980343205810461 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.39546119269714214, "moment": 2, "term": -0.012358162271785692, "partial": 0.40057643671042487, "direct": 0.3990844017500024, "error": 0.0014920349604224392, "absoluteError": 0.0014920349604224392, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006179081135892846 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006179081135892846 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.3961927632132703, "moment": 0, "term": 0, "partial": 0.40057643671042487, "direct": 0.3990844017500024, "error": 0.0014920349604224392, "absoluteError": 0.0014920349604224392, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.003095255962603674 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.003095255962603674 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2520225701600702, "moment": 2, "term": -0.0019689263293755483, "partial": 0.3986075103810493, "direct": 0.3990844017500024, "error": -0.0004768913689531251, "absoluteError": 0.0004768913689531251, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0009844631646877741 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0009844631646877741 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.032880881792784034, "moment": 0, "term": 0, "partial": 0.3986075103810493, "direct": 0.3990844017500024, "error": -0.0004768913689531251, "absoluteError": 0.0004768913689531251, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006422047225153132 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00006422047225153132 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.17413418211331658, "moment": 2, "term": 0.00034010582444007144, "partial": 0.39894761620548935, "direct": 0.3990844017500024, "error": -0.0001367855445130739, "absoluteError": 0.0001367855445130739, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00017005291222003572 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00017005291222003572 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.295337978080618, "moment": 0, "term": 0, "partial": 0.39894761620548935, "direct": 0.3990844017500024, "error": -0.0001367855445130739, "absoluteError": 0.0001367855445130739, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00014420799710967676 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00014420799710967676 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.29456633033871027, "moment": 2, "term": 0.00014383121598569837, "partial": 0.39909144742147507, "direct": 0.3990844017500024, "error": 0.0000070456714726385705, "absoluteError": 0.0000070456714726385705, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007191560799284919 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00007191560799284919 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.18275281893604664, "moment": 0, "term": 0, "partial": 0.39909144742147507, "direct": 0.3990844017500024, "error": 0.0000070456714726385705, "absoluteError": 0.0000070456714726385705, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002230869371777913 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00002230869371777913 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.662679700366597, "x": 1.2304631811612536, "z": 1.5766928552532127, "direct": { "potential": 0.3856763238697423, "ex": 0.4374958912471931, "ez": 0.11913944655043084, "terms": [ { "role": "real", "distance": 1.3589018689712569, "potential": 0.7358883101375377, "ex": 0.4903479173875224, "ez": 0.22981601146228697 }, { "role": "image", "distance": 2.8554134044839157, "potential": -0.3502119862677954, "ex": -0.05285202614032928, "ez": -0.11067656491185614 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.3856763238697423, "error": -0.3856763238697423, "absoluteError": 0.3856763238697423, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.7883464276266063, "moment": 2, "term": 0.39417321381330317, "partial": 0.39417321381330317, "direct": 0.3856763238697423, "error": 0.008496889943560848, "absoluteError": 0.008496889943560848, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.19708660690665158 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.19708660690665158 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.43223513492744814, "moment": 0, "term": 0, "partial": 0.39417321381330317, "direct": 0.3856763238697423, "error": 0.008496889943560848, "absoluteError": 0.008496889943560848, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05402939186593102 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.05402939186593102 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": 0.042354089106859005, "moment": 2, "term": 0.005294261138357376, "partial": 0.3994674749516606, "direct": 0.3856763238697423, "error": 0.013791151081918251, "absoluteError": 0.013791151081918251, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002647130569178688 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.002647130569178688 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.2657443852207364, "moment": 0, "term": 0, "partial": 0.3994674749516606, "direct": 0.3856763238697423, "error": 0.013791151081918251, "absoluteError": 0.013791151081918251, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.008304512038148013 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.008304512038148013 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.41098081743656056, "moment": 2, "term": -0.012843150544892518, "partial": 0.386624324406768, "direct": 0.3856763238697423, "error": 0.0009480005370257061, "absoluteError": 0.0009480005370257061, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006421575272446259 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006421575272446259 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.3725376542728738, "moment": 0, "term": 0, "partial": 0.386624324406768, "direct": 0.3856763238697423, "error": 0.0009480005370257061, "absoluteError": 0.0009480005370257061, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0029104504240068264 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0029104504240068264 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.19315265301600595, "moment": 2, "term": -0.0015090051016875465, "partial": 0.3851153193050805, "direct": 0.3856763238697423, "error": -0.0005610045646618489, "absoluteError": 0.0005610045646618489, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007545025508437733 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0007545025508437733 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.04046194000419634, "moment": 0, "term": 0, "partial": 0.3851153193050805, "direct": 0.3856763238697423, "error": -0.0005610045646618489, "absoluteError": 0.0005610045646618489, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007902722657069598 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00007902722657069598 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.23194307374440026, "moment": 2, "term": 0.00045301381590703176, "partial": 0.38556833312098754, "direct": 0.3856763238697423, "error": -0.00010799074875478265, "absoluteError": 0.00010799074875478265, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00022650690795351588 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00022650690795351588 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.31100209183457495, "moment": 0, "term": 0, "partial": 0.38556833312098754, "direct": 0.3856763238697423, "error": -0.00010799074875478265, "absoluteError": 0.00010799074875478265, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00015185649015360105 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00015185649015360105 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.257208582934724, "moment": 2, "term": 0.0001255901283860957, "partial": 0.3856939232493736, "direct": 0.3856763238697423, "error": 0.000017599379631305645, "absoluteError": 0.000017599379631305645, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00006279506419304785 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00006279506419304785 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.10355622854866468, "moment": 0, "term": 0, "partial": 0.3856939232493736, "direct": 0.3856763238697423, "error": 0.000017599379631305645, "absoluteError": 0.000017599379631305645, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00001264114118025692 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00001264114118025692 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.6872233929727672, "x": 1.268786568327291, "z": 1.546020906725474, "direct": { "potential": 0.3724247526868657, "ex": 0.4263133680868402, "ez": 0.09657888746007219, "terms": [ { "role": "real", "distance": 1.381288596401582, "potential": 0.7239616707219018, "ex": 0.48143237638615755, "ez": 0.20718389463085804 }, { "role": "image", "distance": 2.8446514397111904, "potential": -0.35153691803503606, "ex": -0.05511900829931732, "ez": -0.11060500717078585 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.3724247526868657, "error": -0.3724247526868657, "absoluteError": 0.3724247526868657, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.773010453362737, "moment": 2, "term": 0.3865052266813685, "partial": 0.3865052266813685, "direct": 0.3724247526868657, "error": 0.014080473994502796, "absoluteError": 0.014080473994502796, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.19325261334068425 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.19325261334068425 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 0, "term": 0, "partial": 0.3865052266813685, "direct": 0.3724247526868657, "error": 0.014080473994502796, "absoluteError": 0.014080473994502796, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.04953971768901204 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.04953971768901204 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.004744040505222073, "moment": 2, "term": -0.0005930050631527591, "partial": 0.38591222161821576, "direct": 0.3724247526868657, "error": 0.013487468931350055, "absoluteError": 0.013487468931350055, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00029650253157637957 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00029650253157637957 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 0, "term": 0, "partial": 0.38591222161821576, "direct": 0.3724247526868657, "error": 0.013487468931350055, "absoluteError": 0.013487468931350055, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.009489246678502181 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.009489246678502181 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.4187172917121639, "moment": 2, "term": -0.013084915366005121, "partial": 0.3728273062522106, "direct": 0.3724247526868657, "error": 0.0004025535653449097, "absoluteError": 0.0004025535653449097, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0065424576830025605 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0065424576830025605 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 0, "term": 0, "partial": 0.3728273062522106, "direct": 0.3724247526868657, "error": 0.0004025535653449097, "absoluteError": 0.0004025535653449097, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0026590127733193496 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0026590127733193496 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.1297080256585875, "moment": 2, "term": -0.0010133439504577148, "partial": 0.3718139623017529, "direct": 0.3724247526868657, "error": -0.0006107903851128027, "absoluteError": 0.0006107903851128027, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005066719752288574 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0005066719752288574 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 0, "term": 0, "partial": 0.3718139623017529, "direct": 0.3724247526868657, "error": -0.0006107903851128027, "absoluteError": 0.0006107903851128027, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00021447523171562102 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00021447523171562102 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.27563491752824176, "moment": 2, "term": 0.0005383494482973472, "partial": 0.37235231175005024, "direct": 0.3724247526868657, "error": -0.00007244093681546548, "absoluteError": 0.00007244093681546548, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002691747241486736 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0002691747241486736 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 0, "term": 0, "partial": 0.37235231175005024, "direct": 0.3724247526868657, "error": -0.00007244093681546548, "absoluteError": 0.00007244093681546548, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001494142046345433 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0001494142046345433 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.20100188394358875, "moment": 2, "term": 0.00009814545114433045, "partial": 0.3724504572011946, "direct": 0.3724247526868657, "error": 0.000025704514328872552, "absoluteError": 0.000025704514328872552, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00004907272557216522 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00004907272557216522 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 0, "term": 0, "partial": 0.3724504572011946, "direct": 0.3724247526868657, "error": 0.000025704514328872552, "absoluteError": 0.000025704514328872552, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0000021124025367732515 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0000021124025367732515 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.7117670855789375, "x": 1.3063456859075535, "z": 1.5144176930129691, "direct": { "potential": 0.35934206607532054, "ex": 0.41461240727134546, "ez": 0.07535501713892524, "terms": [ { "role": "real", "distance": 1.4039817000139503, "potential": 0.712259995974352, "ex": 0.47203453551742264, "ez": 0.1858795259193782 }, { "role": "image", "distance": 2.833519963936365, "potential": -0.3529179298990314, "ex": -0.05742212824607718, "ez": -0.11052450878045296 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.35934206607532054, "error": -0.35934206607532054, "absoluteError": 0.35934206607532054, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.7572088465064846, "moment": 2, "term": 0.3786044232532423, "partial": 0.3786044232532423, "direct": 0.35934206607532054, "error": 0.01926235717792174, "absoluteError": 0.01926235717792174, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.18930221162662114 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.18930221162662114 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.3600478558415213, "moment": 0, "term": 0, "partial": 0.3786044232532423, "direct": 0.35934206607532054, "error": 0.01926235717792174, "absoluteError": 0.01926235717792174, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.045005981980190166 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.045005981980190166 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.05042019498950401, "moment": 2, "term": -0.006302524373688001, "partial": 0.3723018988795543, "direct": 0.35934206607532054, "error": 0.01295983280423374, "absoluteError": 0.01295983280423374, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0031512621868440005 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0031512621868440005 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.3368484728362511, "moment": 0, "term": 0, "partial": 0.3723018988795543, "direct": 0.35934206607532054, "error": 0.01295983280423374, "absoluteError": 0.01295983280423374, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.010526514776132846 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.010526514776132846 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.4187802024232522, "moment": 2, "term": -0.013086881325726631, "partial": 0.3592150175538277, "direct": 0.35934206607532054, "error": -0.00012704852149286738, "absoluteError": 0.00012704852149286738, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006543440662863316 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006543440662863316 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.30065040833367285, "moment": 0, "term": 0, "partial": 0.3592150175538277, "direct": 0.35934206607532054, "error": -0.00012704852149286738, "absoluteError": 0.00012704852149286738, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.002348831315106819 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.002348831315106819 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.06383367444415125, "moment": 2, "term": -0.0004987005815949316, "partial": 0.3587163169722327, "direct": 0.35934206607532054, "error": -0.0006257491030878248, "absoluteError": 0.0006257491030878248, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002493502907974658 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0002493502907974658 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.17244018917797707, "moment": 0, "term": 0, "partial": 0.3587163169722327, "direct": 0.35934206607532054, "error": -0.0006257491030878248, "absoluteError": 0.0006257491030878248, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00033679724448823647 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00033679724448823647 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.30337938001256465, "moment": 2, "term": 0.0005925378515870403, "partial": 0.35930885482381975, "direct": 0.35934206607532054, "error": -0.00003321125150079762, "absoluteError": 0.00003321125150079762, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00029626892579352016 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00029626892579352016 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.2812747754868371, "moment": 0, "term": 0, "partial": 0.35930885482381975, "direct": 0.35934206607532054, "error": -0.00003321125150079762, "absoluteError": 0.00003321125150079762, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00013734119896818218 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00013734119896818218 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.1308059012842981, "moment": 2, "term": 0.00006387006898647368, "partial": 0.35937272489280625, "direct": 0.35934206607532054, "error": 0.00003065881748570698, "absoluteError": 0.00003065881748570698, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003193503449323684 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00003193503449323684 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.06799438840979548, "moment": 0, "term": 0, "partial": 0.35937272489280625, "direct": 0.35934206607532054, "error": 0.00003065881748570698, "absoluteError": 0.00003065881748570698, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000008300096241430112 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000008300096241430112 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.7363107781851077, "x": 1.3431179096940367, "z": 1.4819022507099184, "direct": { "potential": 0.3464378902977416, "ex": 0.4024954076061026, "ez": 0.05542119893269967, "terms": [ { "role": "real", "distance": 1.426953222281713, "potential": 0.7007938202774368, "ex": 0.46225852658738353, "ez": 0.16585544929786283 }, { "role": "image", "distance": 2.822021350277109, "potential": -0.3543559299796952, "ex": -0.059763118981280956, "ez": -0.11043425036516316 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.3464378902977416, "error": -0.3464378902977416, "absoluteError": 0.3464378902977416, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.7409511253549592, "moment": 2, "term": 0.3704755626774796, "partial": 0.3704755626774796, "direct": 0.3464378902977416, "error": 0.02403767237973803, "absoluteError": 0.02403767237973803, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1852377813387398 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.1852377813387398 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.32351285524717077, "moment": 0, "term": 0, "partial": 0.3704755626774796, "direct": 0.3464378902977416, "error": 0.02403767237973803, "absoluteError": 0.02403767237973803, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.040439106905896346 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.040439106905896346 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.0944553932996608, "moment": 2, "term": -0.0118069241624576, "partial": 0.358668638515022, "direct": 0.3464378902977416, "error": 0.01223074821728043, "absoluteError": 0.01223074821728043, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0059034620812288 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0059034620812288 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.3651115938675287, "moment": 0, "term": 0, "partial": 0.358668638515022, "direct": 0.3464378902977416, "error": 0.01223074821728043, "absoluteError": 0.01223074821728043, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.011409737308360273 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.011409737308360273 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.41138940880159025, "moment": 2, "term": -0.012855919025049695, "partial": 0.34581271948997233, "direct": 0.3464378902977416, "error": -0.0006251708077692486, "absoluteError": 0.0006251708077692486, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006427959512524848 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006427959512524848 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.25457598836325046, "moment": 0, "term": 0, "partial": 0.34581271948997233, "direct": 0.3464378902977416, "error": -0.0006251708077692486, "absoluteError": 0.0006251708077692486, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0019888749090878942 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0019888749090878942 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.0023096724214604386, "moment": 2, "term": 0.000018044315792659677, "partial": 0.345830763805765, "direct": 0.3464378902977416, "error": -0.000607126491976584, "absoluteError": 0.000607126491976584, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000009022157896329838 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000009022157896329838 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2259627792801237, "moment": 0, "term": 0, "partial": 0.345830763805765, "direct": 0.3464378902977416, "error": -0.000607126491976584, "absoluteError": 0.000607126491976584, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004413335532814916 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004413335532814916 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.3141986673065921, "moment": 2, "term": 0.0006136692720831877, "partial": 0.34644443307784817, "direct": 0.3464378902977416, "error": 0.000006542780106588708, "absoluteError": 0.000006542780106588708, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0003068346360415939 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0003068346360415939 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.2389646252869996, "moment": 0, "term": 0, "partial": 0.34644443307784817, "direct": 0.3464378902977416, "error": 0.000006542780106588708, "absoluteError": 0.000006542780106588708, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011668194594091778 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011668194594091778 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.05239059958991612, "moment": 2, "term": 0.00002558134745601373, "partial": 0.3464700144253042, "direct": 0.3464378902977416, "error": 0.00003212412756259386, "absoluteError": 0.00003212412756259386, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000012790673728006865 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000012790673728006865 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.14464806520842494, "moment": 0, "term": 0, "partial": 0.3464700144253042, "direct": 0.3464378902977416, "error": 0.00003212412756259386, "absoluteError": 0.00003212412756259386, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00001765723452251281 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00001765723452251281 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.760854470791278, "x": 1.3790810894741339, "z": 1.448494165902934, "direct": { "potential": 0.33371940031073705, "ex": 0.3900528220821668, "ez": 0.03672654659748234, "terms": [ { "role": "real", "distance": 1.450176426575102, "potential": 0.6895712698638408, "ex": 0.452196586683941, "ez": 0.1470599027982479 }, { "role": "image", "distance": 2.8101580617121646, "potential": -0.3558518695531037, "ex": -0.06214376460177422, "ez": -0.11033335620076556 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.33371940031073705, "error": -0.33371940031073705, "absoluteError": 0.33371940031073705, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.724247082951467, "moment": 2, "term": 0.3621235414757335, "partial": 0.3621235414757335, "direct": 0.33371940031073705, "error": 0.028404141164996455, "absoluteError": 0.028404141164996455, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.18106177073786675 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.18106177073786675 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.28680075574556363, "moment": 0, "term": 0, "partial": 0.3621235414757335, "direct": 0.33371940031073705, "error": 0.028404141164996455, "absoluteError": 0.028404141164996455, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.035850094468195454 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.035850094468195454 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.13664037073931024, "moment": 2, "term": -0.01708004634241378, "partial": 0.3450434951333197, "direct": 0.33371940031073705, "error": 0.011324094822582675, "absoluteError": 0.011324094822582675, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00854002317120689 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00854002317120689 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.38828299917153947, "moment": 0, "term": 0, "partial": 0.3450434951333197, "direct": 0.33371940031073705, "error": 0.011324094822582675, "absoluteError": 0.011324094822582675, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012133843724110608 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012133843724110608 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.39687079652589363, "moment": 2, "term": -0.012402212391434176, "partial": 0.33264128274188554, "direct": 0.33371940031073705, "error": -0.001078117568851511, "absoluteError": 0.001078117568851511, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006201106195717088 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006201106195717088 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.20339044795997385, "moment": 0, "term": 0, "partial": 0.33264128274188554, "direct": 0.33371940031073705, "error": -0.001078117568851511, "absoluteError": 0.001078117568851511, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0015889878746872957 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0015889878746872957 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.06660865384253145, "moment": 2, "term": 0.000520380108144777, "partial": 0.33316166285003035, "direct": 0.33371940031073705, "error": -0.0005577374607066976, "absoluteError": 0.0005577374607066976, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002601900540723885 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0002601900540723885 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.26841874804893484, "moment": 0, "term": 0, "partial": 0.33316166285003035, "direct": 0.33371940031073705, "error": -0.0005577374607066976, "absoluteError": 0.0005577374607066976, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005242553672830759 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005242553672830759 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.3079951321207208, "moment": 2, "term": 0.0006015529924232829, "partial": 0.3337632158424536, "direct": 0.33371940031073705, "error": 0.00004381553171656227, "absoluteError": 0.00004381553171656227, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00030077649621164143 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00030077649621164143 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.1822458211591577, "moment": 0, "term": 0, "partial": 0.3337632158424536, "direct": 0.33371940031073705, "error": 0.00004381553171656227, "absoluteError": 0.00004381553171656227, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00008898721736286997 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00008898721736286997 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.02801274816002723, "moment": 2, "term": -0.000013678099687513297, "partial": 0.3337495377427661, "direct": 0.33371940031073705, "error": 0.000030137432029064826, "absoluteError": 0.000030137432029064826, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000006839049843756648 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000006839049843756648 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.20594429241490597, "moment": 0, "term": 0, "partial": 0.3337495377427661, "direct": 0.33371940031073705, "error": 0.000030137432029064826, "absoluteError": 0.000030137432029064826, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00002513968413267895 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00002513968413267895 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.7853981633974483, "x": 1.414213562373095, "z": 1.4142135623730951, "direct": { "potential": 0.32119160020925375, "ex": 0.3773639965418223, "ez": 0.019217380148605384, "terms": [ { "role": "real", "distance": 1.4736257582079006, "potential": 0.678598344545847, "ex": 0.44192989938157196, "ez": 0.12943827071977385 }, { "role": "image", "distance": 2.7979326519318133, "potential": -0.35740674433659325, "ex": -0.0645659028397497, "ez": -0.11022089057116846 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.32119160020925375, "error": -0.32119160020925375, "absoluteError": 0.32119160020925375, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 2, "term": 0.3535533905932738, "partial": 0.3535533905932738, "direct": 0.32119160020925375, "error": 0.03236179038402004, "absoluteError": 0.03236179038402004, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1767766952966369 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.1767766952966369 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 0, "term": 0, "partial": 0.3535533905932738, "direct": 0.32119160020925375, "error": 0.03236179038402004, "absoluteError": 0.03236179038402004, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.031250000000000014 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.031250000000000014 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 2, "term": -0.022097086912079594, "partial": 0.33145630368119416, "direct": 0.32119160020925375, "error": 0.010264703471940417, "absoluteError": 0.010264703471940417, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.011048543456039797 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.011048543456039797 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 0, "term": 0, "partial": 0.33145630368119416, "direct": 0.32119160020925375, "error": 0.010264703471940417, "absoluteError": 0.010264703471940417, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012695312499999997 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012695312499999997 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 2, "term": -0.011739077422042294, "partial": 0.3197172262591519, "direct": 0.32119160020925375, "error": -0.0014743739501018593, "absoluteError": 0.0014743739501018593, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005869538711021147 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.005869538711021147 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 0, "term": 0, "partial": 0.3197172262591519, "direct": 0.32119160020925375, "error": -0.0014743739501018593, "absoluteError": 0.0014743739501018593, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.001159667968750001 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.001159667968750001 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 2, "term": 0.0009926425761285751, "partial": 0.32070986883528046, "direct": 0.32119160020925375, "error": -0.00048173137397328203, "absoluteError": 0.00048173137397328203, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004963212880642876 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0004963212880642876 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 0, "term": 0, "partial": 0.32070986883528046, "direct": 0.32119160020925375, "error": -0.00048173137397328203, "absoluteError": 0.00048173137397328203, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005826950073242186 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005826950073242186 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 2, "term": 0.00055768709949615, "partial": 0.3212675559347766, "direct": 0.32119160020925375, "error": 0.00007595572552288044, "absoluteError": 0.00007595572552288044, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000278843549748075 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000278843549748075 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 0, "term": 0, "partial": 0.3212675559347766, "direct": 0.32119160020925375, "error": 0.00007595572552288044, "absoluteError": 0.00007595572552288044, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005620718002319345 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00005620718002319345 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2, "term": -0.000050871246152649006, "partial": 0.32121668468862397, "direct": 0.32119160020925375, "error": 0.000025084479370218737, "absoluteError": 0.000025084479370218737, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000025435623076324503 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000025435623076324503 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 0, "term": 0, "partial": 0.32121668468862397, "direct": 0.32119160020925375, "error": 0.000025084479370218737, "absoluteError": 0.000025084479370218737, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000030117109417915334 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000030117109417915334 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.8099418560036186, "x": 1.4484941659029338, "z": 1.3790810894741339, "direct": { "potential": 0.3088575824369347, "ex": 0.3644980452286412, "ez": 0.002838437903039434, "terms": [ { "role": "real", "distance": 1.4972768017476703, "potential": 0.6678791782740289, "ex": 0.43152947290545873, "ez": 0.1129342917492718 }, { "role": "image", "distance": 2.7853477662489956, "potential": -0.3590215958370942, "ex": -0.06703142767681752, "ez": -0.11009585384623237 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.3088575824369347, "error": -0.3088575824369347, "absoluteError": 0.3088575824369347, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.6895405447370669, "moment": 2, "term": 0.34477027236853347, "partial": 0.34477027236853347, "direct": 0.3088575824369347, "error": 0.035912689931598796, "absoluteError": 0.035912689931598796, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.17238513618426674 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.17238513618426674 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.21319924425443648, "moment": 0, "term": 0, "partial": 0.34477027236853347, "direct": 0.3088575824369347, "error": 0.035912689931598796, "absoluteError": 0.035912689931598796, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.02664990553180456 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.02664990553180456 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.21467782479015274, "moment": 2, "term": -0.026834728098769092, "partial": 0.3179355442697644, "direct": 0.3088575824369347, "error": 0.009077961832829717, "absoluteError": 0.009077961832829717, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013417364049384546 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.013417364049384546 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.4189502956261758, "moment": 0, "term": 0, "partial": 0.3179355442697644, "direct": 0.3088575824369347, "error": 0.009077961832829717, "absoluteError": 0.009077961832829717, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013092196738317994 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.013092196738317994 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.3482475272827691, "moment": 2, "term": -0.010882735227586534, "partial": 0.30705280904217785, "direct": 0.3088575824369347, "error": -0.00180477339475682, "absoluteError": 0.00180477339475682, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005441367613793267 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.005441367613793267 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.09111453469899833, "moment": 0, "term": 0, "partial": 0.30705280904217785, "direct": 0.3088575824369347, "error": -0.00180477339475682, "absoluteError": 0.00180477339475682, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007118323023359244 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007118323023359244 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.1818188581612946, "moment": 2, "term": 0.001420459829385114, "partial": 0.30847326887156296, "direct": 0.3088575824369347, "error": -0.0003843135653717189, "absoluteError": 0.0003843135653717189, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000710229914692557 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000710229914692557 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.31479673254914337, "moment": 0, "term": 0, "partial": 0.30847326887156296, "direct": 0.3088575824369347, "error": -0.0003843135653717189, "absoluteError": 0.0003843135653717189, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0006148373682600456 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0006148373682600456 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.24839511247190998, "moment": 2, "term": 0.0004851467040466992, "partial": 0.30895841557560966, "direct": 0.3088575824369347, "error": 0.00010083313867498278, "absoluteError": 0.00010083313867498278, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002425733520233496 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0002425733520233496 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.04211209291719205, "moment": 0, "term": 0, "partial": 0.30895841557560966, "direct": 0.3088575824369347, "error": 0.00010083313867498278, "absoluteError": 0.00010083313867498278, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002056254536972268 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00002056254536972268 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.17037756540238086, "moment": 2, "term": -0.00008319217060663128, "partial": 0.308875223405003, "direct": 0.3088575824369347, "error": 0.00001764096806833315, "absoluteError": 0.00001764096806833315, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004159608530331564 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00004159608530331564 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.2637770437529475, "moment": 0, "term": 0, "partial": 0.308875223405003, "direct": 0.3088575824369347, "error": 0.00001764096806833315, "absoluteError": 0.00001764096806833315, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003219934616124848 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00003219934616124848 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.8344855486097889, "x": 1.4819022507099182, "z": 1.3431179096940367, "direct": { "potential": 0.2967187652439671, "ex": 0.35151473279095596, "ez": -0.012466128394451326, "terms": [ { "role": "real", "distance": 1.5211062358073242, "potential": 0.6574162780085192, "ex": 0.4210570248245894, "ez": 0.09749104986553096 }, { "role": "image", "distance": 2.772406142575087, "potential": -0.3606975127645521, "ex": -0.06954229203363343, "ez": -0.10995717825998229 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.2967187652439671, "error": -0.2967187652439671, "absoluteError": 0.2967187652439671, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.6715589548470183, "moment": 2, "term": 0.33577947742350917, "partial": 0.33577947742350917, "direct": 0.2967187652439671, "error": 0.039060712179542045, "absoluteError": 0.039060712179542045, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.16788973871175458 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.16788973871175458 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.17648714475282934, "moment": 0, "term": 0, "partial": 0.33577947742350917, "direct": 0.2967187652439671, "error": 0.039060712179542045, "absoluteError": 0.039060712179542045, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.022060893094103667 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.022060893094103667 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.2501700991077714, "moment": 2, "term": -0.03127126238847142, "partial": 0.3045082150350377, "direct": 0.2967187652439671, "error": 0.007789449791070602, "absoluteError": 0.007789449791070602, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.01563563119423571 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.01563563119423571 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.4263723065735044, "moment": 0, "term": 0, "partial": 0.3045082150350377, "direct": 0.2967187652439671, "error": 0.007789449791070602, "absoluteError": 0.007789449791070602, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013324134580422012 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.013324134580422012 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.31526537375457003, "moment": 2, "term": -0.009852042929830314, "partial": 0.29465617210520745, "direct": 0.2967187652439671, "error": -0.002062593138759672, "absoluteError": 0.002062593138759672, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.004926021464915157 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.004926021464915157 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.032841766835214704, "moment": 0, "term": 0, "partial": 0.29465617210520745, "direct": 0.2967187652439671, "error": -0.002062593138759672, "absoluteError": 0.002062593138759672, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002565763034001149 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0002565763034001149 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.22926783836885697, "moment": 2, "term": 0.0017911549872566951, "partial": 0.29644732709246413, "direct": 0.2967187652439671, "error": -0.00027143815150298956, "absoluteError": 0.00027143815150298956, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008955774936283476 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0008955774936283476 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 0, "term": 0, "partial": 0.29644732709246413, "direct": 0.2967187652439671, "error": -0.00027143815150298956, "absoluteError": 0.00027143815150298956, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0006199695841239926 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0006199695841239926 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.1988593303698685, "moment": 2, "term": 0.0003883971296286494, "partial": 0.29683572422209276, "direct": 0.2967187652439671, "error": 0.00011695897812563638, "absoluteError": 0.00011695897812563638, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001941985648143247 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0001941985648143247 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.03194503264127886, "moment": 0, "term": 0, "partial": 0.29683572422209276, "direct": 0.2967187652439671, "error": 0.00011695897812563638, "absoluteError": 0.00011695897812563638, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000015598160469374444 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000015598160469374444 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.22173688464494895, "moment": 2, "term": -0.00010826996320554148, "partial": 0.29672745425888725, "direct": 0.2967187652439671, "error": 0.000008689014920126858, "absoluteError": 0.000008689014920126858, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005413498160277074 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005413498160277074 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.25612671854328634, "moment": 0, "term": 0, "partial": 0.29672745425888725, "direct": 0.2967187652439671, "error": 0.000008689014920126858, "absoluteError": 0.000008689014920126858, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003126546857217851 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00003126546857217851 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.859029241215959, "x": 1.5144176930129691, "z": 1.3063456859075537, "direct": { "potential": 0.284775108524116, "ex": 0.33846533996345685, "ez": -0.02675194864027576, "terms": [ { "role": "real", "distance": 1.5450917863301497, "potential": 0.6472107410364057, "ex": 0.41056585049868005, "ez": 0.08305177472603603 }, { "role": "image", "distance": 2.7591106124646596, "potential": -0.3624356325122897, "ex": -0.0721005105352232, "ez": -0.10980372336631179 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.284775108524116, "error": -0.284775108524116, "absoluteError": 0.284775108524116, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.6531728429537769, "moment": 2, "term": 0.32658642147688843, "partial": 0.32658642147688843, "direct": 0.284775108524116, "error": 0.041811312952772406, "absoluteError": 0.041811312952772406, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.16329321073844422 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.16329321073844422 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.1399521441584789, "moment": 0, "term": 0, "partial": 0.32658642147688843, "direct": 0.284775108524116, "error": 0.041811312952772406, "absoluteError": 0.041811312952772406, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.017494018019809862 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.017494018019809862 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.28309366217340043, "moment": 2, "term": -0.035386707771675054, "partial": 0.29119971370521336, "direct": 0.284775108524116, "error": 0.0064246051810973315, "absoluteError": 0.0064246051810973315, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.017693353885837527 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.017693353885837527 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.4285550193708523, "moment": 0, "term": 0, "partial": 0.29119971370521336, "direct": 0.284775108524116, "error": 0.0064246051810973315, "absoluteError": 0.0064246051810973315, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013392344355339134 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.013392344355339134 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.27738197091750655, "moment": 2, "term": -0.00866818659117208, "partial": 0.2825315271140413, "direct": 0.284775108524116, "error": -0.0022435814100747464, "absoluteError": 0.0022435814100747464, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00433409329558604 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00433409329558604 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.024968836840475944, "moment": 0, "term": 0, "partial": 0.2825315271140413, "direct": 0.284775108524116, "error": -0.0022435814100747464, "absoluteError": 0.0022435814100747464, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001950690378162183 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0001950690378162183 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.2680440550544992, "moment": 2, "term": 0.002094094180113275, "partial": 0.2846256212941546, "direct": 0.284775108524116, "error": -0.00014948722996144248, "absoluteError": 0.00014948722996144248, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0010470470900566374 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0010470470900566374 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.3064255755335946, "moment": 0, "term": 0, "partial": 0.2846256212941546, "direct": 0.284775108524116, "error": -0.00014948722996144248, "absoluteError": 0.00014948722996144248, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000598487452214052 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000598487452214052 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.13979758367660405, "moment": 2, "term": 0.0002730421556183673, "partial": 0.28489866344977294, "direct": 0.284775108524116, "error": 0.00012355492565691018, "absoluteError": 0.00012355492565691018, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00013652107780918365 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00013652107780918365 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.1022902461608148, "moment": 0, "term": 0, "partial": 0.28489866344977294, "direct": 0.284775108524116, "error": 0.00012355492565691018, "absoluteError": 0.00012355492565691018, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004994640925821035 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00004994640925821035 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.25464120595303297, "moment": 2, "term": -0.00012433652634425438, "partial": 0.2847743269234287, "direct": 0.284775108524116, "error": -7.816006873384573e-7, "absoluteError": 7.816006873384573e-7, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006216826317212719 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00006216826317212719 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.22502298850150118, "moment": 0, "term": 0, "partial": 0.2847743269234287, "direct": 0.284775108524116, "error": -7.816006873384573e-7, "absoluteError": 7.816006873384573e-7, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000027468626526062156 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000027468626526062156 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.8835729338221293, "x": 1.5460209067254738, "z": 1.268786568327291, "direct": { "potential": 0.27302530864101915, "ex": 0.32539349651170213, "ez": -0.04007379405423045, "terms": [ { "role": "real", "distance": 1.5692121791986633, "potential": 0.6372624513471861, "ex": 0.4001016588632271, "ez": 0.06956047709321142 }, { "role": "image", "distance": 2.7454641022338246, "potential": -0.3642371427061669, "ex": -0.074708162351525, "ez": -0.10963427114744187 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.27302530864101915, "error": -0.27302530864101915, "absoluteError": 0.27302530864101915, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.6343932841636455, "moment": 2, "term": 0.31719664208182274, "partial": 0.31719664208182274, "direct": 0.27302530864101915, "error": 0.044171333440803595, "absoluteError": 0.044171333440803595, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.15859832104091137 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.15859832104091137 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.1036822584879038, "moment": 0, "term": 0, "partial": 0.31719664208182274, "direct": 0.27302530864101915, "error": 0.044171333440803595, "absoluteError": 0.044171333440803595, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.012960282310987975 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.012960282310987975 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.3133033086563548, "moment": 2, "term": -0.03916291358204435, "partial": 0.27803372849977837, "direct": 0.27302530864101915, "error": 0.005008419858759217, "absoluteError": 0.005008419858759217, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.019581456791022175 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.019581456791022175 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.42558734497215, "moment": 0, "term": 0, "partial": 0.27803372849977837, "direct": 0.27302530864101915, "error": 0.005008419858759217, "absoluteError": 0.005008419858759217, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013299604530379688 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.013299604530379688 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.2353389093305796, "moment": 2, "term": -0.007354340916580613, "partial": 0.27067938758319776, "direct": 0.27302530864101915, "error": -0.0023459210578213874, "absoluteError": 0.0023459210578213874, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0036771704582903063 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0036771704582903063 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.08094417757697758, "moment": 0, "term": 0, "partial": 0.27067938758319776, "direct": 0.27302530864101915, "error": -0.0023459210578213874, "absoluteError": 0.0023459210578213874, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0006323763873201374 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0006323763873201374 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.29708417291346734, "moment": 2, "term": 0.0023209701008864636, "partial": 0.27300035768408426, "direct": 0.27302530864101915, "error": -0.000024950956934888247, "absoluteError": 0.000024950956934888247, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0011604850504432318 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0011604850504432318 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2825517273594225, "moment": 0, "term": 0, "partial": 0.27300035768408426, "direct": 0.27302530864101915, "error": -0.000024950956934888247, "absoluteError": 0.000024950956934888247, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005518588424988721 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005518588424988721 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.07450646968982182, "moment": 2, "term": 0.00014552044861293324, "partial": 0.2731458781326972, "direct": 0.27302530864101915, "error": 0.00012056949167804643, "absoluteError": 0.00012056949167804643, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007276022430646662 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00007276022430646662 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.16449038702734647, "moment": 0, "term": 0, "partial": 0.2731458781326972, "direct": 0.27302530864101915, "error": 0.00012056949167804643, "absoluteError": 0.00012056949167804643, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00008031757179069652 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00008031757179069652 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.26694983913912673, "moment": 2, "term": -0.00013034660114215172, "partial": 0.273015531531555, "direct": 0.27302530864101915, "error": -0.000009777109464148559, "absoluteError": 0.000009777109464148559, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006517330057107586 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00006517330057107586 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.1738069167785851, "moment": 0, "term": 0, "partial": 0.273015531531555, "direct": 0.27302530864101915, "error": -0.000009777109464148559, "absoluteError": 0.000009777109464148559, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000021216664645823375 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000021216664645823375 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.9081166264282996, "x": 1.5766928552532125, "z": 1.2304631811612536, "direct": { "potential": 0.26146697319100065, "ex": 0.3123359701961401, "ez": -0.052485077652038865, "terms": [ { "role": "real", "distance": 1.5934470928391355, "potential": 0.6275702560153679, "ex": 0.3897033643080745, "ez": 0.05696244309628599 }, { "role": "image", "distance": 2.7314696341571336, "potential": -0.3661032828243672, "ex": -0.07736739411193436, "ez": -0.10944752074832485 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.26146697319100065, "error": -0.26146697319100065, "absoluteError": 0.26146697319100065, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.6152315905806268, "moment": 2, "term": 0.3076157952903134, "partial": 0.3076157952903134, "direct": 0.26146697319100065, "error": 0.04614882209931276, "absoluteError": 0.04614882209931276, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1538078976451567 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.1538078976451567 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.06776486507255208, "moment": 0, "term": 0, "partial": 0.3076157952903134, "direct": 0.26146697319100065, "error": 0.04614882209931276, "absoluteError": 0.04614882209931276, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00847060813406901 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00847060813406901 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.3406692508469716, "moment": 2, "term": -0.04258365635587145, "partial": 0.26503213893444194, "direct": 0.26146697319100065, "error": 0.0035651657434412898, "absoluteError": 0.0035651657434412898, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.021291828177935724 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.021291828177935724 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.41760699766027665, "moment": 0, "term": 0, "partial": 0.26503213893444194, "direct": 0.26146697319100065, "error": 0.0035651657434412898, "absoluteError": 0.0035651657434412898, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013050218676883645 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.013050218676883645 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.18992963065706053, "moment": 2, "term": -0.005935300958033142, "partial": 0.2590968379764088, "direct": 0.26146697319100065, "error": -0.0023701352145918397, "absoluteError": 0.0023701352145918397, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.002967650479016571 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.002967650479016571 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.13377953197641765, "moment": 0, "term": 0, "partial": 0.2590968379764088, "direct": 0.26146697319100065, "error": -0.0023701352145918397, "absoluteError": 0.0023701352145918397, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0010451525935657629 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0010451525935657629 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.315649701303878, "moment": 2, "term": 0.0024660132914365467, "partial": 0.26156285126784534, "direct": 0.26146697319100065, "error": 0.00009587807684469096, "absoluteError": 0.00009587807684469096, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0012330066457182734 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0012330066457182734 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.24706353664466815, "moment": 0, "term": 0, "partial": 0.26156285126784534, "direct": 0.26146697319100065, "error": 0.00009587807684469096, "absoluteError": 0.00009587807684469096, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004825459700091175 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004825459700091175 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.00653604046481525, "moment": 2, "term": 0.000012765704032842286, "partial": 0.2615756169718782, "direct": 0.26146697319100065, "error": 0.00010864378087754867, "absoluteError": 0.00010864378087754867, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000006382852016421143 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000006382852016421143 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.21471694369479283, "moment": 0, "term": 0, "partial": 0.2615756169718782, "direct": 0.26146697319100065, "error": 0.00010864378087754867, "absoluteError": 0.00010864378087754867, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00010484225766347306 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00010484225766347306 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.25813399884738875, "moment": 2, "term": -0.00012604199162470154, "partial": 0.2614495749802535, "direct": 0.26146697319100065, "error": -0.00001739821074714376, "absoluteError": 0.00001739821074714376, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006302099581235077 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00006302099581235077 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.10756616710958851, "moment": 0, "term": 0, "partial": 0.2614495749802535, "direct": 0.26146697319100065, "error": -0.00001739821074714376, "absoluteError": 0.00001739821074714376, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000013130635633494691 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000013130635633494691 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.9326603190344698, "x": 1.6064150629612897, "z": 1.191398608984867, "direct": { "potential": 0.2500967768731242, "ex": 0.2993234046312877, "ez": -0.06403747379638805, "terms": [ { "role": "real", "distance": 1.617777111356897, "potential": 0.6181321227627323, "ex": 0.3794038275230625, "ez": 0.0452046090115618 }, { "role": "image", "distance": 2.7171303277483276, "potential": -0.3680353458896081, "ex": -0.0800804228917748, "ez": -0.10924208280794985 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.2500967768731242, "error": -0.2500967768731242, "absoluteError": 0.2500967768731242, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.5956993044924335, "moment": 2, "term": 0.29784965224621673, "partial": 0.29784965224621673, "direct": 0.2500967768731242, "error": 0.04775287537309253, "absoluteError": 0.04775287537309253, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.14892482612310837 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.14892482612310837 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.03228649205915346, "moment": 0, "term": 0, "partial": 0.29784965224621673, "direct": 0.2500967768731242, "error": 0.04775287537309253, "absoluteError": 0.04775287537309253, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0040358115073941825 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0040358115073941825 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.36507780155472536, "moment": 2, "term": -0.04563472519434067, "partial": 0.2522149270518761, "direct": 0.2500967768731242, "error": 0.0021181501787518875, "absoluteError": 0.0021181501787518875, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.022817362597170335 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.022817362597170335 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.404798905869974, "moment": 0, "term": 0, "partial": 0.2522149270518761, "direct": 0.2500967768731242, "error": 0.0021181501787518875, "absoluteError": 0.0021181501787518875, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012649965808436688 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012649965808436688 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.14198692679109454, "moment": 2, "term": -0.004437091462221704, "partial": 0.24777783558965435, "direct": 0.2500967768731242, "error": -0.0023189412834698497, "absoluteError": 0.0023189412834698497, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.002218545731110852 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.002218545731110852 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.18226631340811106, "moment": 0, "term": 0, "partial": 0.24777783558965435, "direct": 0.2500967768731242, "error": -0.0023189412834698497, "absoluteError": 0.0023189412834698497, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0014239555735008676 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0014239555735008676 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.32334406720450265, "moment": 2, "term": 0.002526125525035177, "partial": 0.25030396111468955, "direct": 0.2500967768731242, "error": 0.0002071842415653502, "absoluteError": 0.0002071842415653502, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0012630627625175885 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0012630627625175885 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.20167166816567203, "moment": 0, "term": 0, "partial": 0.25030396111468955, "direct": 0.2500967768731242, "error": 0.0002071842415653502, "absoluteError": 0.0002071842415653502, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0003938899768860782 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0003938899768860782 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.06049401175333191, "moment": 2, "term": -0.00011815236670572639, "partial": 0.2501858087479838, "direct": 0.2500967768731242, "error": 0.00008903187485959085, "absoluteError": 0.00008903187485959085, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000059076183352863194 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000059076183352863194 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.24997335873119697, "moment": 0, "term": 0, "partial": 0.2501858087479838, "direct": 0.2500967768731242, "error": 0.00008903187485959085, "absoluteError": 0.00008903187485959085, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00012205730406796727 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00012205730406796727 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.22928617792370226, "moment": 2, "term": -0.00011195614156430774, "partial": 0.2500738526064195, "direct": 0.2500967768731242, "error": -0.000022924266704693608, "absoluteError": 0.000022924266704693608, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005597807078215387 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005597807078215387 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.0326468532075852, "moment": 0, "term": 0, "partial": 0.2500738526064195, "direct": 0.2500967768731242, "error": -0.000022924266704693608, "absoluteError": 0.000022924266704693608, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000003985211573191553 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000003985211573191553 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.9572040116406401, "x": 1.6351696263031674, "z": 1.1516163828356907, "direct": { "potential": 0.2389105997710832, "ex": 0.28638100212739925, "ez": -0.07478063738025165, "terms": [ { "role": "real", "distance": 1.642183678620823, "potential": 0.6089452800065844, "ex": 0.3692305413949969, "ez": 0.03423583597582921 }, { "role": "image", "distance": 2.702449401130645, "potential": -0.37003468023550123, "ex": -0.08284953926759762, "ez": -0.10901647335608085 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.2389105997710832, "error": -0.2389105997710832, "absoluteError": 0.2389105997710832, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.5758081914178453, "moment": 2, "term": 0.28790409570892267, "partial": 0.28790409570892267, "direct": 0.2389105997710832, "error": 0.04899349593783947, "absoluteError": 0.04899349593783947, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.14395204785446133 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.14395204785446133 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.0026673900441649967, "moment": 0, "term": 0, "partial": 0.28790409570892267, "direct": 0.2389105997710832, "error": 0.04899349593783947, "absoluteError": 0.04899349593783947, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0003334237555206246 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0003334237555206246 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.3864319693404579, "moment": 2, "term": -0.04830399616755724, "partial": 0.23960009954136544, "direct": 0.2389105997710832, "error": 0.000689499770282237, "absoluteError": 0.000689499770282237, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.02415199808377862 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.02415199808377862 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.38739317086781555, "moment": 0, "term": 0, "partial": 0.23960009954136544, "direct": 0.2389105997710832, "error": 0.000689499770282237, "absoluteError": 0.000689499770282237, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012106036589619236 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012106036589619236 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.09236991448067182, "moment": 2, "term": -0.0028865598275209944, "partial": 0.23671353971384443, "direct": 0.2389105997710832, "error": -0.00219706005723877, "absoluteError": 0.00219706005723877, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0014432799137604972 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0014432799137604972 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.22531749449252905, "moment": 0, "term": 0, "partial": 0.23671353971384443, "direct": 0.2389105997710832, "error": -0.00219706005723877, "absoluteError": 0.00219706005723877, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0017602929257228832 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0017602929257228832 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.32011929340929945, "moment": 2, "term": 0.002500931979760152, "partial": 0.23921447169360457, "direct": 0.2389105997710832, "error": 0.00030387192252137596, "absoluteError": 0.00030387192252137596, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.001250465989880076 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.001250465989880076 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.14846090114897578, "moment": 0, "term": 0, "partial": 0.23921447169360457, "direct": 0.2389105997710832, "error": 0.00030387192252137596, "absoluteError": 0.00030387192252137596, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002899626975565933 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0002899626975565933 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.12307881072198401, "moment": 2, "term": -0.00024038830219137502, "partial": 0.2389740833914132, "direct": 0.2389105997710832, "error": 0.00006348362033001265, "absoluteError": 0.00006348362033001265, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00012019415109568751 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00012019415109568751 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.26826740710107955, "moment": 0, "term": 0, "partial": 0.2389740833914132, "direct": 0.2389105997710832, "error": 0.00006348362033001265, "absoluteError": 0.00006348362033001265, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000130989944873574 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000130989944873574 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.18300853393308517, "moment": 2, "term": -0.00008935963570951424, "partial": 0.2388847237557037, "direct": 0.2389105997710832, "error": -0.00002587601537951123, "absoluteError": 0.00002587601537951123, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00004467981785475712 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00004467981785475712 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.04393764837807734, "moment": 0, "term": 0, "partial": 0.2388847237557037, "direct": 0.2389105997710832, "error": -0.00002587601537951123, "absoluteError": 0.00002587601537951123, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000005363482468027019 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000005363482468027019 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 0.9817477042468103, "x": 1.6629392246050905, "z": 1.1111404660392046, "direct": { "potential": 0.2279036494162769, "ex": 0.27352915004936745, "ez": -0.08476200547601072, "terms": [ { "role": "real", "distance": 1.6666490536167446, "potential": 0.60000634076498, "ex": 0.35920626048638943, "ez": 0.024007101765332325 }, { "role": "image", "distance": 2.687430172502796, "potential": -0.37210269134870316, "ex": -0.08567711043702197, "ez": -0.10876910724134305 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.2279036494162769, "error": -0.2279036494162769, "absoluteError": 0.2279036494162769, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.5555702330196023, "moment": 2, "term": 0.27778511650980114, "partial": 0.27778511650980114, "direct": 0.2279036494162769, "error": 0.04988146709352426, "absoluteError": 0.04988146709352426, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.13889255825490057 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.13889255825490057 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.03701257427381721, "moment": 0, "term": 0, "partial": 0.27778511650980114, "direct": 0.2279036494162769, "error": 0.04988146709352426, "absoluteError": 0.04988146709352426, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.004626571784227151 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.004626571784227151 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.40465196286966815, "moment": 2, "term": -0.05058149535870852, "partial": 0.22720362115109263, "direct": 0.2279036494162769, "error": -0.0007000282651842549, "absoluteError": 0.0007000282651842549, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.02529074767935426 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.02529074767935426 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.3656625935754838, "moment": 0, "term": 0, "partial": 0.22720362115109263, "direct": 0.2279036494162769, "error": -0.0007000282651842549, "absoluteError": 0.0007000282651842549, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.011426956049233869 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.011426956049233869 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.04195068387897609, "moment": 2, "term": -0.0013109588712180028, "partial": 0.22589266227987462, "direct": 0.2279036494162769, "error": -0.0020109871364022702, "absoluteError": 0.0020109871364022702, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0006554794356090014 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0006554794356090014 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.26199015074661675, "moment": 0, "term": 0, "partial": 0.22589266227987462, "direct": 0.2279036494162769, "error": -0.0020109871364022702, "absoluteError": 0.0020109871364022702, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0020467980527079433 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0020467980527079433 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.3062721687946655, "moment": 2, "term": 0.0023927513187083243, "partial": 0.22828541359858295, "direct": 0.2279036494162769, "error": 0.0003817641823060658, "absoluteError": 0.0003817641823060658, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0011963756593541622 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0011963756593541622 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.08980055594296896, "moment": 0, "term": 0, "partial": 0.22828541359858295, "direct": 0.2279036494162769, "error": 0.0003817641823060658, "absoluteError": 0.0003817641823060658, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00017539171082611124 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00017539171082611124 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.17800428687982192, "moment": 2, "term": -0.0003476646228121522, "partial": 0.2279377489757708, "direct": 0.2279036494162769, "error": 0.00003409955949390531, "absoluteError": 0.00003409955949390531, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0001738323114060761 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0001738323114060761 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.2687188783152626, "moment": 0, "term": 0, "partial": 0.2279377489757708, "direct": 0.2279036494162769, "error": 0.00003409955949390531, "absoluteError": 0.00003409955949390531, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0001312103898023743 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0001312103898023743 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.1231903216265172, "moment": 2, "term": -0.000060151524231697854, "partial": 0.2278775974515391, "direct": 0.2279036494162769, "error": -0.000026051964737788813, "absoluteError": 0.000026051964737788813, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000030075762115848927 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000030075762115848927 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.11514729337969985, "moment": 0, "term": 0, "partial": 0.2278775974515391, "direct": 0.2279036494162769, "error": -0.000026051964737788813, "absoluteError": 0.000026051964737788813, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000014056066086389142 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000014056066086389142 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.0062913968529805, "x": 1.689707130499414, "z": 1.0699952397741945, "direct": { "potential": 0.21707056801417002, "ex": 0.2607839910440742, "ez": -0.09402666648243951, "terms": [ { "role": "real", "distance": 1.6911562673069604, "potential": 0.5913114118025444, "ex": 0.349349574441509, "ez": 0.01447162457130598 }, { "role": "image", "distance": 2.6720760617071493, "potential": -0.3742408437883744, "ex": -0.08856558339743482, "ez": -0.10849829105374549 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.21707056801417002, "error": -0.21707056801417002, "absoluteError": 0.21707056801417002, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.5349976198870973, "moment": 2, "term": 0.26749880994354863, "partial": 0.26749880994354863, "direct": 0.21707056801417002, "error": 0.050428241929378614, "absoluteError": 0.050428241929378614, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.13374940497177432 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.13374940497177432 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.07066632007271151, "moment": 0, "term": 0, "partial": 0.26749880994354863, "direct": 0.21707056801417002, "error": 0.050428241929378614, "absoluteError": 0.050428241929378614, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.008833290009088939 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.008833290009088939 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4196756016665322, "moment": 2, "term": -0.05245945020831653, "partial": 0.2150393597352321, "direct": 0.21707056801417002, "error": -0.002031208278937907, "absoluteError": 0.002031208278937907, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.026229725104158264 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.026229725104158264 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.33991979397395683, "moment": 0, "term": 0, "partial": 0.2150393597352321, "direct": 0.21707056801417002, "error": -0.002031208278937907, "absoluteError": 0.002031208278937907, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.010622493561686151 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.010622493561686151 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.008399176021782927, "moment": 2, "term": 0.0002624742506807165, "partial": 0.21530183398591282, "direct": 0.21707056801417002, "error": -0.0017687340282571962, "absoluteError": 0.0017687340282571962, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00013123712534035824 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00013123712534035824 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.2915046501428529, "moment": 0, "term": 0, "partial": 0.21530183398591282, "direct": 0.21707056801417002, "error": -0.0017687340282571962, "absoluteError": 0.0017687340282571962, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002277380079241038 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002277380079241038 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.2824301094330167, "moment": 2, "term": 0.002206485229945443, "partial": 0.21750831921585825, "direct": 0.21707056801417002, "error": 0.00043775120168823567, "absoluteError": 0.00043775120168823567, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0011032426149727216 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0011032426149727216 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.02824487424584693, "moment": 0, "term": 0, "partial": 0.21750831921585825, "direct": 0.21707056801417002, "error": 0.00043775120168823567, "absoluteError": 0.00043775120168823567, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000055165770011419784 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000055165770011419784 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.22250609855999773, "moment": 2, "term": -0.00043458222374999556, "partial": 0.21707373699210827, "direct": 0.21707056801417002, "error": 0.00000316897793825599, "absoluteError": 0.00000316897793825599, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00021729111187499778 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00021729111187499778 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.2515968297871913, "moment": 0, "term": 0, "partial": 0.21707373699210827, "direct": 0.21707056801417002, "error": 0.00000316897793825599, "absoluteError": 0.00000316897793825599, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000122850014544527 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000122850014544527 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.054692438332094445, "moment": 2, "term": -0.00002670529215434299, "partial": 0.21704703169995393, "direct": 0.21707056801417002, "error": -0.00002353631421608826, "absoluteError": 0.00002353631421608826, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000013352646077171495 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000013352646077171495 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.17454813899906496, "moment": 0, "term": 0, "partial": 0.21704703169995393, "direct": 0.21707056801417002, "error": -0.00002353631421608826, "absoluteError": 0.00002353631421608826, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000021307145873909297 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000021307145873909297 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.030835089459151, "x": 1.7154572200005442, "z": 1.0282054883864433, "direct": { "potential": 0.20640552619078806, "ex": 0.24815793879261527, "ez": -0.10261728385847306, "terms": [ { "role": "real", "distance": 1.715689081164508, "potential": 0.5828561893750931, "ex": 0.33967542696885616, "ez": 0.0055849316431960975 }, { "role": "image", "distance": 2.656390591907163, "potential": -0.37645066318430503, "ex": -0.09151748817624088, "ez": -0.10820221550166916 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.20640552619078806, "error": -0.20640552619078806, "absoluteError": 0.20640552619078806, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.5141027441932217, "moment": 2, "term": 0.25705137209661083, "partial": 0.25705137209661083, "direct": 0.20640552619078806, "error": 0.05064584590582277, "absoluteError": 0.05064584590582277, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12852568604830542 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.12852568604830542 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.10354755261949833, "moment": 0, "term": 0, "partial": 0.25705137209661083, "direct": 0.20640552619078806, "error": 0.05064584590582277, "absoluteError": 0.05064584590582277, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012943444077437291 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012943444077437291 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.43145863105577464, "moment": 2, "term": -0.05393232888197183, "partial": 0.203119043214639, "direct": 0.20640552619078806, "error": -0.0032864829761490577, "absoluteError": 0.0032864829761490577, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.026966164440985915 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.026966164440985915 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.31051395144071914, "moment": 0, "term": 0, "partial": 0.203119043214639, "direct": 0.20640552619078806, "error": -0.0032864829761490577, "absoluteError": 0.0032864829761490577, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.009703560982522473 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.009703560982522473 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.057821970661901645, "moment": 2, "term": 0.0018069365831844264, "partial": 0.20492597979782343, "direct": 0.20640552619078806, "error": -0.0014795463929646313, "absoluteError": 0.0014795463929646313, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0009034682915922132 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0009034682915922132 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.31326008815249584, "moment": 0, "term": 0, "partial": 0.20492597979782343, "direct": 0.20640552619078806, "error": -0.0014795463929646313, "absoluteError": 0.0014795463929646313, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0024473444386913738 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0024473444386913738 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.24952721408270032, "moment": 2, "term": 0.0019494313600210962, "partial": 0.20687541115784452, "direct": 0.20640552619078806, "error": 0.00046988496705646643, "absoluteError": 0.00046988496705646643, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0009747156800105481 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0009747156800105481 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.03357265430067313, "moment": 0, "term": 0, "partial": 0.20687541115784452, "direct": 0.20640552619078806, "error": 0.00046988496705646643, "absoluteError": 0.00046988496705646643, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00006557159043100221 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00006557159043100221 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.2544038006289613, "moment": 2, "term": -0.00049688242310344, "partial": 0.20637852873474108, "direct": 0.20640552619078806, "error": -0.000026997456046978785, "absoluteError": 0.000026997456046978785, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00024844121155172 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00024844121155172 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.21828502599880922, "moment": 0, "term": 0, "partial": 0.20637852873474108, "direct": 0.20640552619078806, "error": -0.000026997456046978785, "absoluteError": 0.000026997456046978785, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00010658448535098107 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00010658448535098107 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.017036223432891393, "moment": 2, "term": 0.0000083184684730915, "partial": 0.20638684720321418, "direct": 0.20640552619078806, "error": -0.00001867898757387798, "absoluteError": 0.00001867898757387798, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00000415923423654575 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00000415923423654575 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.21688148149919026, "moment": 0, "term": 0, "partial": 0.20638684720321418, "direct": 0.20640552619078806, "error": -0.00001867898757387798, "absoluteError": 0.00001867898757387798, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000026474790222069123 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000026474790222069123 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.055378782065321, "x": 1.7401739822174227, "z": 0.9857963844595682, "direct": { "potential": 0.19590230456418656, "ex": 0.23566014184183595, "ez": -0.11057406341327795, "terms": [ { "role": "real", "distance": 1.7402319474946042, "potential": 0.5746360428790488, "ex": 0.3301955829452963, "ez": -0.002695116213223427 }, { "role": "image", "distance": 2.6403773913816067, "potential": -0.37873373831486223, "ex": -0.09453544110346032, "ez": -0.10787894720005453 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.19590230456418656, "error": -0.19590230456418656, "absoluteError": 0.19590230456418656, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.4928981922297841, "moment": 2, "term": 0.24644909611489205, "partial": 0.24644909611489205, "direct": 0.19590230456418656, "error": 0.05054679155070549, "absoluteError": 0.05054679155070549, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.12322454805744602 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.12322454805744602 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.13557705814491622, "moment": 0, "term": 0, "partial": 0.24644909611489205, "direct": 0.19590230456418656, "error": 0.05054679155070549, "absoluteError": 0.05054679155070549, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.016947132268114527 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.016947132268114527 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.43997493959895867, "moment": 2, "term": -0.054996867449869834, "partial": 0.1914522286650222, "direct": 0.19590230456418656, "error": -0.004450075899164352, "absoluteError": 0.004450075899164352, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.027498433724934917 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.027498433724934917 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.27782719801209943, "moment": 0, "term": 0, "partial": 0.1914522286650222, "direct": 0.19590230456418656, "error": -0.004450075899164352, "absoluteError": 0.004450075899164352, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.008682099937878107 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.008682099937878107 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.1054870091047928, "moment": 2, "term": 0.003296469034524775, "partial": 0.194748697699547, "direct": 0.19590230456418656, "error": -0.0011536068646395559, "absoluteError": 0.0011536068646395559, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0016482345172623876 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0016482345172623876 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.3268456511777946, "moment": 0, "term": 0, "partial": 0.194748697699547, "direct": 0.19590230456418656, "error": -0.0011536068646395559, "absoluteError": 0.0011536068646395559, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0025534816498265205 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0025534816498265205 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.2087713061741948, "moment": 2, "term": 0.0016310258294858968, "partial": 0.19637972352903288, "direct": 0.19590230456418656, "error": 0.0004774189648463212, "absoluteError": 0.0004774189648463212, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008155129147429484 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0008155129147429484 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.09304682090048647, "moment": 0, "term": 0, "partial": 0.19637972352903288, "direct": 0.19590230456418656, "error": 0.0004774189648463212, "absoluteError": 0.0004774189648463212, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00018173207207126263 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00018173207207126263 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.27220386847126543, "moment": 2, "term": -0.0005316481806079403, "partial": 0.19584807534842494, "direct": 0.19590230456418656, "error": -0.000054229215761619765, "absoluteError": 0.000054229215761619765, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00026582409030397015 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00026582409030397015 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.17117857109569942, "moment": 0, "term": 0, "partial": 0.19584807534842494, "direct": 0.19590230456418656, "error": -0.000054229215761619765, "absoluteError": 0.000054229215761619765, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00008358328666782198 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00008358328666782198 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.08638117378546815, "moment": 2, "term": 0.00004217830751243562, "partial": 0.19589025365593737, "direct": 0.19590230456418656, "error": -0.000012050908249183756, "absoluteError": 0.000012050908249183756, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002108915375621781 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00002108915375621781 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.23851984527401726, "moment": 0, "term": 0, "partial": 0.19589025365593737, "direct": 0.19590230456418656, "error": -0.000012050908249183756, "absoluteError": 0.000012050908249183756, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000029116192050050935 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000029116192050050935 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.0799224746714913, "x": 1.7638425286967099, "z": 0.9427934736519956, "direct": { "potential": 0.1855543643758612, "ex": 0.22329689864910188, "ez": -0.11793475481070664, "terms": [ { "role": "real", "distance": 1.7647699716099006, "potential": 0.5666460876415277, "ex": 0.32091904676437477, "ez": -0.010408334987742775 }, { "role": "image", "distance": 2.624040195443658, "potential": -0.3810917232656665, "ex": -0.0976221481152729, "ez": -0.10752641982296388 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.1855543643758612, "error": -0.1855543643758612, "absoluteError": 0.1855543643758612, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.4713967368259978, "moment": 2, "term": 0.2356983684129989, "partial": 0.2356983684129989, "direct": 0.1855543643758612, "error": 0.0501440040371377, "absoluteError": 0.0501440040371377, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.11784918420649945 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.11784918420649945 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.16667767476470147, "moment": 0, "term": 0, "partial": 0.2356983684129989, "direct": 0.1855543643758612, "error": 0.0501440040371377, "absoluteError": 0.0501440040371377, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.020834709345587683 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.020834709345587683 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4452166778603739, "moment": 2, "term": -0.055652084732546736, "partial": 0.18004628368045217, "direct": 0.1855543643758612, "error": -0.0055080806954090344, "absoluteError": 0.0055080806954090344, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.027826042366273368 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.027826042366273368 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.24227069989328437, "moment": 0, "term": 0, "partial": 0.18004628368045217, "direct": 0.1855543643758612, "error": -0.0055080806954090344, "absoluteError": 0.0055080806954090344, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0075709593716651365 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0075709593716651365 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.15060323104345835, "moment": 2, "term": 0.0047063509701080735, "partial": 0.18475263465056024, "direct": 0.1855543643758612, "error": -0.0008017297253009592, "absoluteError": 0.0008017297253009592, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0023531754850540368 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0023531754850540368 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 0, "term": 0, "partial": 0.18475263465056024, "direct": 0.1855543643758612, "error": -0.0008017297253009592, "absoluteError": 0.0008017297253009592, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0025941225101941937 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0025941225101941937 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.1616030183471398, "moment": 2, "term": 0.0012625235808370297, "partial": 0.18601515823139728, "direct": 0.1855543643758612, "error": 0.00046079385553607355, "absoluteError": 0.00046079385553607355, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0006312617904185149 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0006312617904185149 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.14770584206036177, "moment": 0, "term": 0, "partial": 0.18601515823139728, "direct": 0.1855543643758612, "error": 0.00046079385553607355, "absoluteError": 0.00046079385553607355, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002884879727741441 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0002884879727741441 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.27516678111697346, "moment": 2, "term": -0.0005374351193690888, "partial": 0.18547772311202818, "direct": 0.1855543643758612, "error": -0.00007664126383302716, "absoluteError": 0.00007664126383302716, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002687175596845444 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0002687175596845444 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.11351891527843869, "moment": 0, "term": 0, "partial": 0.18547772311202818, "direct": 0.1855543643758612, "error": -0.00007664126383302716, "absoluteError": 0.00007664126383302716, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005542915785080014 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00005542915785080014 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.14799149457579938, "moment": 2, "term": 0.00007226147196083954, "partial": 0.18554998458398902, "direct": 0.1855543643758612, "error": -0.000004379791872177741, "absoluteError": 0.000004379791872177741, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00003613073598041977 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00003613073598041977 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 0, "term": 0, "partial": 0.18554998458398902, "direct": 0.1855543643758612, "error": -0.000004379791872177741, "absoluteError": 0.000004379791872177741, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000029024763421087765 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000029024763421087765 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.1044661672776617, "x": 1.7864486023910306, "z": 0.8992226593092132, "direct": { "potential": 0.17535490833623157, "ex": 0.2110720273090312, "ez": -0.12473467944013264, "terms": [ { "role": "real", "distance": 1.7892888758894057, "potential": 0.558881248005819, "ex": 0.31185243538358165, "ez": -0.0175922548702712 }, { "role": "image", "distance": 2.607382848493567, "potential": -0.3835263396695874, "ex": -0.10078040807455044, "ez": -0.10714242456986144 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.17535490833623157, "error": -0.17535490833623157, "absoluteError": 0.17535490833623157, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.4496113296546066, "moment": 2, "term": 0.2248056648273033, "partial": 0.2248056648273033, "direct": 0.17535490833623157, "error": 0.04945075649107172, "absoluteError": 0.04945075649107172, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.11240283241365165 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.11240283241365165 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.19677447836932505, "moment": 0, "term": 0, "partial": 0.2248056648273033, "direct": 0.17535490833623157, "error": 0.04945075649107172, "absoluteError": 0.04945075649107172, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.02459680979616563 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.02459680979616563 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4471942778726108, "moment": 2, "term": -0.05589928473407635, "partial": 0.16890638009322695, "direct": 0.17535490833623157, "error": -0.006448528243004625, "absoluteError": 0.006448528243004625, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.027949642367038174 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.027949642367038174 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.20428046552741946, "moment": 0, "term": 0, "partial": 0.16890638009322695, "direct": 0.17535490833623157, "error": -0.006448528243004625, "absoluteError": 0.006448528243004625, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006383764547731858 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.006383764547731858 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.19243116118724746, "moment": 2, "term": 0.006013473787101483, "partial": 0.17491985388032844, "direct": 0.17535490833623157, "error": -0.00043505445590313885, "absoluteError": 0.00043505445590313885, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0030067368935507415 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0030067368935507415 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.32885231006154303, "moment": 0, "term": 0, "partial": 0.17491985388032844, "direct": 0.17535490833623157, "error": -0.00043505445590313885, "absoluteError": 0.00043505445590313885, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002569158672355805 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002569158672355805 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.10964820712919805, "moment": 2, "term": 0.0008566266181968598, "partial": 0.1757764804985253, "direct": 0.17535490833623157, "error": 0.0004215721622937152, "absoluteError": 0.0004215721622937152, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004283133090984299 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0004283133090984299 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.19531000342584556, "moment": 0, "term": 0, "partial": 0.1757764804985253, "direct": 0.17535490833623157, "error": 0.0004215721622937152, "absoluteError": 0.0004215721622937152, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0003814648504411046 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0003814648504411046 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.26333518808121864, "moment": 2, "term": -0.0005143265392211302, "partial": 0.17526215395930417, "direct": 0.17535490833623157, "error": -0.0000927543769274064, "absoluteError": 0.0000927543769274064, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002571632696105651 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0002571632696105651 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.049178116627020006, "moment": 0, "term": 0, "partial": 0.17526215395930417, "direct": 0.17535490833623157, "error": -0.0000927543769274064, "absoluteError": 0.0000927543769274064, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000024012752259287112 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000024012752259287112 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.19718364311581157, "moment": 2, "term": 0.00009628107574014237, "partial": 0.1753584350350443, "direct": 0.17535490833623157, "error": 0.0000035266988127335974, "absoluteError": 0.0000035266988127335974, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000048140537870071185 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000048140537870071185 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.21500394017902727, "moment": 0, "term": 0, "partial": 0.1753584350350443, "direct": 0.17535490833623157, "error": 0.0000035266988127335974, "absoluteError": 0.0000035266988127335974, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000026245598166385165 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000026245598166385165 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.1290098598838318, "x": 1.8079785862468867, "z": 0.8551101868605644, "direct": { "potential": 0.1652969327517691, "ex": 0.19898719358160674, "ez": -0.13100677811112432, "terms": [ { "role": "real", "distance": 1.8137749657217324, "potential": 0.5513363117800464, "ex": 0.30300030967307195, "ez": -0.02428217822029424 }, { "role": "image", "distance": 2.590409306214199, "potential": -0.3860393790282773, "ex": -0.10401311609146521, "ez": -0.10672459989083008 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.1652969327517691, "error": -0.1652969327517691, "absoluteError": 0.1652969327517691, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.4275550934302822, "moment": 2, "term": 0.2137775467151411, "partial": 0.2137775467151411, "direct": 0.1652969327517691, "error": 0.048480613963372, "absoluteError": 0.048480613963372, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10688877335757055 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.10688877335757055 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.22579496312273395, "moment": 0, "term": 0, "partial": 0.2137775467151411, "direct": 0.1652969327517691, "error": 0.048480613963372, "absoluteError": 0.048480613963372, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.028224370390341744 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.028224370390341744 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.44593637321023416, "moment": 2, "term": -0.05574204665127927, "partial": 0.15803550006386183, "direct": 0.1652969327517691, "error": -0.007261432687907271, "absoluteError": 0.007261432687907271, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.027871023325639635 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.027871023325639635 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.16431292115370957, "moment": 0, "term": 0, "partial": 0.15803550006386183, "direct": 0.1652969327517691, "error": -0.007261432687907271, "absoluteError": 0.007261432687907271, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005134778786053424 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.005134778786053424 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.2302940111279689, "moment": 2, "term": 0.007196687847749028, "partial": 0.16523218791161084, "direct": 0.1652969327517691, "error": -0.00006474484015825399, "absoluteError": 0.00006474484015825399, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.003598343923874514 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.003598343923874514 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.31744362627588885, "moment": 0, "term": 0, "partial": 0.16523218791161084, "direct": 0.1652969327517691, "error": -0.00006474484015825399, "absoluteError": 0.00006474484015825399, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0024800283302803816 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0024800283302803816 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.05466517771689212, "moment": 2, "term": 0.00042707170091321967, "partial": 0.16565925961252406, "direct": 0.1652969327517691, "error": 0.00036232686075496345, "absoluteError": 0.00036232686075496345, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00021353585045660983 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00021353585045660983 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.23393996955491125, "moment": 0, "term": 0, "partial": 0.16565925961252406, "direct": 0.1652969327517691, "error": 0.00036232686075496345, "absoluteError": 0.00036232686075496345, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00045691400303693604 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00045691400303693604 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.23752213954636708, "moment": 2, "term": -0.0004639104288014982, "partial": 0.16519534918372258, "direct": 0.1652969327517691, "error": -0.00010158356804651492, "absoluteError": 0.00010158356804651492, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002319552144007491 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0002319552144007491 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.017593751524955882, "moment": 0, "term": 0, "partial": 0.16519534918372258, "direct": 0.1652969327517691, "error": -0.00010158356804651492, "absoluteError": 0.00010158356804651492, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000008590698986794864 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000008590698986794864 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.23028996864377696, "moment": 2, "term": 0.00011244627375184422, "partial": 0.16530779545747443, "direct": 0.1652969327517691, "error": 0.00001086270570532788, "absoluteError": 0.00001086270570532788, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005622313687592211 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00005622313687592211 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.17259055513292185, "moment": 0, "term": 0, "partial": 0.16530779545747443, "direct": 0.1652969327517691, "error": 0.00001086270570532788, "absoluteError": 0.00001086270570532788, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002106818299962425 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00002106818299962425 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.1535535524900022, "x": 1.8284195114070614, "z": 0.8104826280099797, "direct": { "potential": 0.15537327191300515, "ex": 0.18704220085658324, "ez": -0.13678167315813666, "terms": [ { "role": "real", "distance": 1.8382150973104427, "potential": 0.5440059770280068, "ex": 0.29436546768041894, "ez": -0.030511252746627627 }, { "role": "image", "distance": 2.573123637919476, "potential": -0.38863270511500164, "ex": -0.10732326682383571, "ez": -0.10627042041150903 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.15537327191300515, "error": -0.15537327191300515, "absoluteError": 0.15537327191300515, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.40524131400498986, "moment": 2, "term": 0.20262065700249493, "partial": 0.20262065700249493, "direct": 0.15537327191300515, "error": 0.04724738508948978, "absoluteError": 0.04724738508948978, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.10131032850124747 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.10131032850124747 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.25366921613526383, "moment": 0, "term": 0, "partial": 0.20262065700249493, "direct": 0.15537327191300515, "error": 0.04724738508948978, "absoluteError": 0.04724738508948978, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.03170865201690798 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.03170865201690798 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.44148962011877674, "moment": 2, "term": -0.05518620251484709, "partial": 0.14743445448764783, "direct": 0.15537327191300515, "error": -0.00793881742535732, "absoluteError": 0.00793881742535732, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.027593101257423546 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.027593101257423546 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.12284029700742172, "moment": 0, "term": 0, "partial": 0.14743445448764783, "direct": 0.15537327191300515, "error": -0.00793881742535732, "absoluteError": 0.00793881742535732, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0038387592814819287 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0038387592814819287 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.26358776202532996, "moment": 2, "term": 0.008237117563291561, "partial": 0.1556715720509394, "direct": 0.15537327191300515, "error": 0.0002983001379342487, "absoluteError": 0.0002983001379342487, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004118558781645781 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.004118558781645781 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.29819744107728013, "moment": 0, "term": 0, "partial": 0.1556715720509394, "direct": 0.15537327191300515, "error": 0.0002983001379342487, "absoluteError": 0.0002983001379342487, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002329667508416251 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002329667508416251 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.0015116535765581204, "moment": 2, "term": -0.000011809793566860316, "partial": 0.15565976225737255, "direct": 0.15537327191300515, "error": 0.00028649034436739607, "absoluteError": 0.00028649034436739607, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000005904896783430158 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000005904896783430158 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.26207135684577904, "moment": 0, "term": 0, "partial": 0.15565976225737255, "direct": 0.15537327191300515, "error": 0.00028649034436739607, "absoluteError": 0.00028649034436739607, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005118581188394122 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005118581188394122 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.1992603520643172, "moment": 2, "term": -0.0003891803751256195, "partial": 0.15527058188224693, "direct": 0.15537327191300515, "error": -0.00010269003075821792, "absoluteError": 0.00010269003075821792, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00019459018756280976 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00019459018756280976 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.08244202005188361, "moment": 0, "term": 0, "partial": 0.15527058188224693, "direct": 0.15537327191300515, "error": -0.00010269003075821792, "absoluteError": 0.00010269003075821792, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000040254892603458796 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000040254892603458796 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.24492642580720397, "moment": 2, "term": 0.00011959298135117382, "partial": 0.1553901748635981, "direct": 0.15537327191300515, "error": 0.000016902950592950772, "absoluteError": 0.000016902950592950772, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005979649067558691 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00005979649067558691 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.1146655693240326, "moment": 0, "term": 0, "partial": 0.1553901748635981, "direct": 0.15537327191300515, "error": 0.000016902950592950772, "absoluteError": 0.000016902950592950772, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000013997261880375073 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000013997261880375073 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.1780972450961724, "x": 1.8477590650225735, "z": 0.7653668647301797, "direct": { "potential": 0.145576635635358, "ex": 0.17523524560823223, "ez": -0.14208774050823714, "terms": [ { "role": "real", "distance": 1.8625966473017288, "potential": 0.536884892093337, "ex": 0.2859492033411491, "ez": -0.03631055551445585 }, { "role": "image", "distance": 2.5555300290664476, "potential": -0.391308256457979, "ex": -0.11071395773291687, "ez": -0.10577718499378128 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.145576635635358, "error": -0.145576635635358, "absoluteError": 0.145576635635358, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.38268343236508984, "moment": 2, "term": 0.19134171618254492, "partial": 0.19134171618254492, "direct": 0.145576635635358, "error": 0.04576508054718692, "absoluteError": 0.04576508054718692, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.09567085809127246 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.09567085809127246 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.2803300858899106, "moment": 0, "term": 0, "partial": 0.19134171618254492, "direct": 0.145576635635358, "error": 0.04576508054718692, "absoluteError": 0.04576508054718692, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.035041260736238825 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.035041260736238825 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4339184206826456, "moment": 2, "term": -0.0542398025853307, "partial": 0.13710191359721421, "direct": 0.145576635635358, "error": -0.008474722038143784, "absoluteError": 0.008474722038143784, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.02711990129266535 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.02711990129266535 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.08034586912079625, "moment": 0, "term": 0, "partial": 0.13710191359721421, "direct": 0.145576635635358, "error": -0.008474722038143784, "absoluteError": 0.008474722038143784, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0025108084100248828 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0025108084100248828 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.2917900771974118, "moment": 2, "term": 0.009118439912419118, "partial": 0.14622035350963333, "direct": 0.145576635635358, "error": 0.0006437178742753347, "absoluteError": 0.0006437178742753347, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004559219956209559 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.004559219956209559 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.271670809432627, "moment": 0, "term": 0, "partial": 0.14622035350963333, "direct": 0.145576635635358, "error": 0.0006437178742753347, "absoluteError": 0.0006437178742753347, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0021224281986923985 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0021224281986923985 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.057029933061775964, "moment": 2, "term": -0.0004455463520451247, "partial": 0.14577480715758823, "direct": 0.145576635635358, "error": 0.00019817152223022827, "absoluteError": 0.00019817152223022827, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00022277317602256236 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00022277317602256236 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.27863272800035815, "moment": 0, "term": 0, "partial": 0.14577480715758823, "direct": 0.145576635635358, "error": 0.00019817152223022827, "absoluteError": 0.00019817152223022827, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005442045468756995 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005442045468756995 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.15071541375033626, "moment": 2, "term": -0.0002943660424811255, "partial": 0.14548044111510708, "direct": 0.145576635635358, "error": -0.00009619452025091957, "absoluteError": 0.00009619452025091957, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00014718302124056275 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00014718302124056275 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.14118450069614602, "moment": 0, "term": 0, "partial": 0.14548044111510708, "direct": 0.145576635635358, "error": -0.00009619452025091957, "absoluteError": 0.00009619452025091957, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00006893774448054005 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00006893774448054005 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.24016022666268785, "moment": 2, "term": 0.00011726573567514055, "partial": 0.14559770685078224, "direct": 0.145576635635358, "error": 0.000021071215424245393, "absoluteError": 0.000021071215424245393, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005863286783757028 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00005863286783757028 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.046732775754172264, "moment": 0, "term": 0, "partial": 0.14559770685078224, "direct": 0.145576635635358, "error": 0.000021071215424245393, "absoluteError": 0.000021071215424245393, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000005704684540304231 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000005704684540304231 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.2026409377023426, "x": 1.8659855976694777, "z": 0.7197900730699766, "direct": { "potential": 0.13589964076048322, "ex": 0.16356314174775105, "ez": -0.14695118808612723, "terms": [ { "role": "real", "distance": 1.8869074841814708, "potential": 0.5299676896632768, "ex": 0.2777515340135258, "ez": -0.041709184222984454 }, { "role": "image", "distance": 2.5376327839425374, "potential": -0.39406804890279357, "ex": -0.11418839226577478, "ez": -0.10524200386314278 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.13589964076048322, "error": -0.13589964076048322, "absoluteError": 0.13589964076048322, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.3598950365349883, "moment": 2, "term": 0.17994751826749414, "partial": 0.17994751826749414, "direct": 0.13589964076048322, "error": 0.04404787750701092, "absoluteError": 0.04404787750701092, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.08997375913374707 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.08997375913374707 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.3057133440162192, "moment": 0, "term": 0, "partial": 0.17994751826749414, "direct": 0.13589964076048322, "error": 0.04404787750701092, "absoluteError": 0.04404787750701092, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0382141680020274 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0382141680020274 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4233045495465766, "moment": 2, "term": -0.052913068693322074, "partial": 0.12703444957417206, "direct": 0.13589964076048322, "error": -0.008865191186311155, "absoluteError": 0.008865191186311155, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.026456534346661037 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.026456534346661037 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.03731910305569652, "moment": 0, "term": 0, "partial": 0.12703444957417206, "direct": 0.13589964076048322, "error": -0.008865191186311155, "absoluteError": 0.008865191186311155, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011662219704905163 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0011662219704905163 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.314467911713432, "moment": 2, "term": 0.00982712224104475, "partial": 0.13686157181521683, "direct": 0.13589964076048322, "error": 0.0009619310547336057, "absoluteError": 0.0009619310547336057, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004913561120522375 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.004913561120522375 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.2385875602675901, "moment": 0, "term": 0, "partial": 0.13686157181521683, "direct": 0.13589964076048322, "error": 0.0009619310547336057, "absoluteError": 0.0009619310547336057, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0018639653145905476 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0018639653145905476 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.11007760670424534, "moment": 2, "term": -0.0008599813023769167, "partial": 0.1360015905128399, "direct": 0.13589964076048322, "error": 0.00010194975235666703, "absoluteError": 0.00010194975235666703, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00042999065118845835 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00042999065118845835 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.28304483577134465, "moment": 0, "term": 0, "partial": 0.1360015905128399, "direct": 0.13589964076048322, "error": 0.00010194975235666703, "absoluteError": 0.00010194975235666703, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005528219448659075 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0005528219448659075 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.09456760911694338, "moment": 2, "term": -0.00018470236155653004, "partial": 0.13581688815128337, "direct": 0.13589964076048322, "error": -0.00008275260919984873, "absoluteError": 0.00008275260919984873, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00009235118077826502 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00009235118077826502 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.19007496723168943, "moment": 0, "term": 0, "partial": 0.13581688815128337, "direct": 0.13589964076048322, "error": -0.00008275260919984873, "absoluteError": 0.00008275260919984873, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00009281004259359835 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00009281004259359835 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.21656580672458006, "moment": 2, "term": 0.00010574502281473636, "partial": 0.1359226331740981, "direct": 0.13589964076048322, "error": 0.000022992413614891793, "absoluteError": 0.000022992413614891793, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005287251140736818 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00005287251140736818 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.024848548692585737, "moment": 0, "term": 0, "partial": 0.1359226331740981, "direct": 0.13589964076048322, "error": 0.000022992413614891793, "absoluteError": 0.000022992413614891793, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000030332701040754073 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0000030332701040754073 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.227184630308513, "x": 1.8830881303660416, "z": 0.6737797067844401, "direct": { "potential": 0.12633483734602002, "ex": 0.15202151709161496, "ez": -0.15139613762289625, "terms": [ { "role": "real", "distance": 1.9111359413791371, "potential": 0.523249015597691, "ex": 0.26977140002173433, "ez": -0.04673435289465478 }, { "role": "image", "distance": 2.5194363285403503, "potential": -0.39691417825167097, "ex": -0.11774988293011937, "ez": -0.10466178472824146 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.12633483734602002, "error": -0.12633483734602002, "absoluteError": 0.12633483734602002, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.33688985339222005, "moment": 2, "term": 0.16844492669611003, "partial": 0.16844492669611003, "direct": 0.12633483734602002, "error": 0.04211008935009, "absoluteError": 0.04211008935009, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.08422246334805501 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.08422246334805501 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.3297578400220527, "moment": 0, "term": 0, "partial": 0.16844492669611003, "direct": 0.12633483734602002, "error": 0.04211008935009, "absoluteError": 0.04211008935009, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.04121973000275659 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.04121973000275659 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.4097466862280876, "moment": 2, "term": -0.05121833577851095, "partial": 0.11722659091759907, "direct": 0.12633483734602002, "error": -0.009108246428420952, "absoluteError": 0.009108246428420952, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.025609167889255473 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.025609167889255473 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.005749253176714847, "moment": 0, "term": 0, "partial": 0.11722659091759907, "direct": 0.12633483734602002, "error": -0.009108246428420952, "absoluteError": 0.009108246428420952, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00017966416177233897 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00017966416177233897 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.33128370609014285, "moment": 2, "term": 0.010352615815316964, "partial": 0.12757920673291603, "direct": 0.12633483734602002, "error": 0.0012443693868960104, "absoluteError": 0.0012443693868960104, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005176307907658482 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005176307907658482 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.19982017417529344, "moment": 0, "term": 0, "partial": 0.12757920673291603, "direct": 0.12633483734602002, "error": 0.0012443693868960104, "absoluteError": 0.0012443693868960104, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00156109511074448 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00156109511074448 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.15893945388078068, "moment": 2, "term": -0.001241714483443599, "partial": 0.12633749224947244, "direct": 0.12633483734602002, "error": 0.000002654903452414814, "absoluteError": 0.000002654903452414814, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0006208572417217995 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0006208572417217995 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.27523969487113625, "moment": 0, "term": 0, "partial": 0.12633749224947244, "direct": 0.12633483734602002, "error": 0.000002654903452414814, "absoluteError": 0.000002654903452414814, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000537577529045188 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000537577529045188 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": -0.033868577405812755, "moment": 2, "term": -0.00006614956524572804, "partial": 0.1262713426842267, "direct": 0.12633483734602002, "error": -0.00006349466179331187, "absoluteError": 0.00006349466179331187, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003307478262286402 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00003307478262286402 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.22603676323801275, "moment": 0, "term": 0, "partial": 0.1262713426842267, "direct": 0.12633483734602002, "error": -0.00006349466179331187, "absoluteError": 0.00006349466179331187, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011036951329981091 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011036951329981091 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.1761659187869777, "moment": 2, "term": 0.00008601851503270396, "partial": 0.12635736119925942, "direct": 0.12633483734602002, "error": 0.000022523853239392322, "absoluteError": 0.000022523853239392322, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00004300925751635198 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00004300925751635198 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.09344905440854791, "moment": 0, "term": 0, "partial": 0.12635736119925942, "direct": 0.12633483734602002, "error": 0.000022523853239392322, "absoluteError": 0.000022523853239392322, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000011407355274480946 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000011407355274480946 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.2517283229146832, "x": 1.8990563611860733, "z": 0.6273634807977831, "direct": { "potential": 0.11687473019702516, "ex": 0.14060498495070467, "ez": -0.1554447075140733, "terms": [ { "role": "real", "distance": 1.9352707920093337, "potential": 0.5167235531735225, "ex": 0.2620068391721041, "ez": -0.05141148970180649 }, { "role": "image", "distance": 2.5009452136333508, "potential": -0.3998488229764973, "ex": -0.12140185422139942, "ez": -0.10403321781226682 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.11687473019702516, "error": -0.11687473019702516, "absoluteError": 0.11687473019702516, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.3136817403988916, "moment": 2, "term": 0.1568408701994458, "partial": 0.1568408701994458, "direct": 0.11687473019702516, "error": 0.03996614000242063, "absoluteError": 0.03996614000242063, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0784204350997229 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0784204350997229 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.3524056486104836, "moment": 0, "term": 0, "partial": 0.1568408701994458, "direct": 0.11687473019702516, "error": 0.03996614000242063, "absoluteError": 0.03996614000242063, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.04405070607631045 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.04405070607631045 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.39335985557015557, "moment": 2, "term": -0.049169981946269446, "partial": 0.10767088825317633, "direct": 0.11687473019702516, "error": -0.009203841943848823, "absoluteError": 0.009203841943848823, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.024584990973134723 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.024584990973134723 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.0483720792858324, "moment": 0, "term": 0, "partial": 0.10767088825317633, "direct": 0.11687473019702516, "error": -0.009203841943848823, "absoluteError": 0.009203841943848823, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0015116274776822624 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0015116274776822624 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.342000072886892, "moment": 2, "term": 0.010687502277715375, "partial": 0.11835839053089171, "direct": 0.11687473019702516, "error": 0.0014836603338665572, "absoluteError": 0.0014836603338665572, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005343751138857687 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005343751138857687 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.15636842707460444, "moment": 0, "term": 0, "partial": 0.11835839053089171, "direct": 0.11687473019702516, "error": 0.0014836603338665572, "absoluteError": 0.0014836603338665572, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0012216283365203472 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0012216283365203472 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.20205021039925203, "moment": 2, "term": -0.0015785172687441565, "partial": 0.11677987326214756, "direct": 0.11687473019702516, "error": -0.00009485693487759628, "absoluteError": 0.00009485693487759628, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007892586343720782 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0007892586343720782 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.2556588642765281, "moment": 0, "term": 0, "partial": 0.11677987326214756, "direct": 0.11687473019702516, "error": -0.00009485693487759628, "absoluteError": 0.00009485693487759628, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000499333719290094 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000499333719290094 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.028119765087189483, "moment": 2, "term": 0.00005492141618591696, "partial": 0.11683479467833348, "direct": 0.11687473019702516, "error": -0.000039935518691677774, "absoluteError": 0.000039935518691677774, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002746070809295848 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00002746070809295848 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.2468522258679747, "moment": 0, "term": 0, "partial": 0.11683479467833348, "direct": 0.11687473019702516, "error": -0.000039935518691677774, "absoluteError": 0.000039935518691677774, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00012053331341209702 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00012053331341209702 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.12226328196289488, "moment": 2, "term": 0.000059698868145944764, "partial": 0.11689449354647942, "direct": 0.11687473019702516, "error": 0.000019763349454263168, "absoluteError": 0.000019763349454263168, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000029849434072972382 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000029849434072972382 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.15277366882239105, "moment": 0, "term": 0, "partial": 0.11689449354647942, "direct": 0.11687473019702516, "error": 0.000019763349454263168, "absoluteError": 0.000019763349454263168, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000018649129494920782 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000018649129494920782 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.2762720155208536, "x": 1.9138806714644179, "z": 0.5805693545089247, "direct": { "potential": 0.10751179632351388, "ex": 0.12930729362057453, "ez": -0.15911709485363476, "terms": [ { "role": "real", "distance": 1.9593012251775253, "potential": 0.5103860433249071, "ex": 0.2544551389755547, "ez": -0.055764335143933454 }, { "role": "image", "distance": 2.4821641180667022, "potential": -0.40287424700139324, "ex": -0.1251478453549802, "ez": -0.1033527597097013 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.10751179632351388, "error": -0.10751179632351388, "absoluteError": 0.10751179632351388, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.29028467725446233, "moment": 2, "term": 0.14514233862723117, "partial": 0.14514233862723117, "direct": 0.10751179632351388, "error": 0.03763054230371729, "absoluteError": 0.03763054230371729, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.07257116931361558 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.07257116931361558 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.37360220922690895, "moment": 0, "term": 0, "partial": 0.14514233862723117, "direct": 0.10751179632351388, "error": 0.03763054230371729, "absoluteError": 0.03763054230371729, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.04670027615336362 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.04670027615336362 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.3742747793812871, "moment": 2, "term": -0.04678434742266089, "partial": 0.09835799120457028, "direct": 0.10751179632351388, "error": -0.009153805118943592, "absoluteError": 0.009153805118943592, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.023392173711330445 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.023392173711330445 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.09007074823011321, "moment": 0, "term": 0, "partial": 0.09835799120457028, "direct": 0.10751179632351388, "error": -0.009153805118943592, "absoluteError": 0.009153805118943592, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002814710882191038 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.002814710882191038 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.3464829080491131, "moment": 2, "term": 0.010827590876534784, "partial": 0.10918558208110506, "direct": 0.10751179632351388, "error": 0.0016737857575911813, "absoluteError": 0.0016737857575911813, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005413795438267392 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005413795438267392 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.1093352882264836, "moment": 0, "term": 0, "partial": 0.10918558208110506, "direct": 0.10751179632351388, "error": 0.0016737857575911813, "absoluteError": 0.0016737857575911813, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0008541819392694031 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0008541819392694031 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.23804268331073558, "moment": 2, "term": -0.0018597084633651217, "partial": 0.10732587361773994, "direct": 0.10751179632351388, "error": -0.00018592270577393044, "absoluteError": 0.00018592270577393044, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0009298542316825609 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0009298542316825609 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.2252311462562539, "moment": 0, "term": 0, "partial": 0.10732587361773994, "direct": 0.10751179632351388, "error": -0.00018592270577393044, "absoluteError": 0.00018592270577393044, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0004399045825317459 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0004399045825317459 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.08809576736764968, "moment": 2, "term": 0.00017206204563994078, "partial": 0.10749793566337988, "direct": 0.10751179632351388, "error": -0.000013860660133993563, "absoluteError": 0.000013860660133993563, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00008603102281997039 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00008603102281997039 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.251296449286453, "moment": 0, "term": 0, "partial": 0.10749793566337988, "direct": 0.10751179632351388, "error": -0.000013860660133993563, "absoluteError": 0.000013860660133993563, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00012270334437815088 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00012270334437815088 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": 0.05917636441145646, "moment": 2, "term": 0.000028894709185281475, "partial": 0.10752683037256516, "direct": 0.10751179632351388, "error": 0.000015034049051287912, "absoluteError": 0.000015034049051287912, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000014447354592640738 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000014447354592640738 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.19743059414439376, "moment": 0, "term": 0, "partial": 0.10752683037256516, "direct": 0.10751179632351388, "error": 0.000015034049051287912, "absoluteError": 0.000015034049051287912, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000024100414324266817 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000024100414324266817 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.3008157081270237, "x": 1.9275521315908797, "z": 0.5334255149497968, "direct": { "potential": 0.09823849884558111, "ex": 0.11812145632756124, "ez": -0.16243165516741515, "terms": [ { "role": "real", "distance": 1.9832168237740437, "potential": 0.5042313013949776, "ex": 0.24711296907574815, "ez": -0.05981503919200641 }, { "role": "image", "distance": 2.463097852278629, "potential": -0.4059928025493965, "ex": -0.1289915127481869, "ez": -0.10261661597540872 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.09823849884558111, "error": -0.09823849884558111, "absoluteError": 0.09823849884558111, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.2667127574748984, "moment": 2, "term": 0.1333563787374492, "partial": 0.1333563787374492, "direct": 0.09823849884558111, "error": 0.0351178798918681, "absoluteError": 0.0351178798918681, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0666781893687246 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0666781893687246 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.39329645750020403, "moment": 0, "term": 0, "partial": 0.1333563787374492, "direct": 0.09823849884558111, "error": 0.0351178798918681, "absoluteError": 0.0351178798918681, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.049162057187525504 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.049162057187525504 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.35263714279158, "moment": 2, "term": -0.0440796428489475, "partial": 0.08927673588850171, "direct": 0.09823849884558111, "error": -0.0089617629570794, "absoluteError": 0.0089617629570794, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.02203982142447375 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.02203982142447375 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.1303798998266324, "moment": 0, "term": 0, "partial": 0.08927673588850171, "direct": 0.09823849884558111, "error": -0.0089617629570794, "absoluteError": 0.0089617629570794, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004074371869582262 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.004074371869582262 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.3447028829169759, "moment": 2, "term": 0.010771965091155496, "partial": 0.1000487009796572, "direct": 0.09823849884558111, "error": 0.0018102021340760943, "absoluteError": 0.0018102021340760943, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005385982545577748 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005385982545577748 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.05990062023375146, "moment": 0, "term": 0, "partial": 0.1000487009796572, "direct": 0.09823849884558111, "error": 0.0018102021340760943, "absoluteError": 0.0018102021340760943, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00046797359557618326 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00046797359557618326 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2657894175344069, "moment": 2, "term": -0.0020764798244875537, "partial": 0.09797222115516965, "direct": 0.09823849884558111, "error": -0.00026627769041145943, "absoluteError": 0.00026627769041145943, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0010382399122437769 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0010382399122437769 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.18533072106374898, "moment": 0, "term": 0, "partial": 0.09797222115516965, "direct": 0.09823849884558111, "error": -0.00026627769041145943, "absoluteError": 0.00026627769041145943, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00036197406457763473 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00036197406457763473 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.14288935445110573, "moment": 2, "term": 0.0002790807704123159, "partial": 0.09825130192558197, "direct": 0.09823849884558111, "error": 0.000012803080000858835, "absoluteError": 0.000012803080000858835, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00013954038520615794 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00013954038520615794 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.23920743506235292, "moment": 0, "term": 0, "partial": 0.09825130192558197, "direct": 0.09823849884558111, "error": 0.000012803080000858835, "absoluteError": 0.000012803080000858835, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011680050540153951 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00011680050540153951 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.008100034328865665, "moment": 2, "term": -0.000003955094887141438, "partial": 0.09824734683069483, "direct": 0.09823849884558111, "error": 0.000008847985113719092, "absoluteError": 0.000008847985113719092, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000001977547443570719 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000001977547443570719 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.22341421524918528, "moment": 0, "term": 0, "partial": 0.09824734683069483, "direct": 0.09823849884558111, "error": 0.000008847985113719092, "absoluteError": 0.000008847985113719092, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000027272243072410313 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000027272243072410313 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.325359400733194, "x": 1.940062506389088, "z": 0.48596035980652796, "direct": { "potential": 0.08904729781050857, "ex": 0.107039863965574, "ez": -0.1654049786942237, "terms": [ { "role": "real", "distance": 2.007007543679631, "potential": 0.49825423085685483, "ex": 0.23997649615333772, "ez": -0.06358425634808489 }, { "role": "image", "distance": 2.443751362068788, "potential": -0.40920693304634626, "ex": -0.13293663218776372, "ez": -0.1018207223461388 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.08904729781050857, "error": -0.08904729781050857, "absoluteError": 0.08904729781050857, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.24298017990326398, "moment": 2, "term": 0.12149008995163199, "partial": 0.12149008995163199, "direct": 0.08904729781050857, "error": 0.03244279214112342, "absoluteError": 0.03244279214112342, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.060745044975815995 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.060745044975815995 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.4114409482612662, "moment": 0, "term": 0, "partial": 0.12149008995163199, "direct": 0.08904729781050857, "error": 0.03244279214112342, "absoluteError": 0.03244279214112342, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.051430118532658275 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.051430118532658275 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.3286067793156626, "moment": 2, "term": -0.04107584741445783, "partial": 0.08041424253717416, "direct": 0.08904729781050857, "error": -0.008633055273334411, "absoluteError": 0.008633055273334411, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.020537923707228914 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.020537923707228914 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.1688520760737339, "moment": 0, "term": 0, "partial": 0.08041424253717416, "direct": 0.08904729781050857, "error": -0.008633055273334411, "absoluteError": 0.008633055273334411, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005276627377304184 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.005276627377304184 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.336735297531114, "moment": 2, "term": 0.010522978047847312, "partial": 0.09093722058502147, "direct": 0.08904729781050857, "error": 0.0018899227745129005, "absoluteError": 0.0018899227745129005, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005261489023923656 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005261489023923656 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": 0.009293275757351968, "moment": 0, "term": 0, "partial": 0.09093722058502147, "direct": 0.08904729781050857, "error": 0.0018899227745129005, "absoluteError": 0.0018899227745129005, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00007260371685431225 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00007260371685431225 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2844366745123325, "moment": 2, "term": -0.0022221615196275977, "partial": 0.08871505906539388, "direct": 0.08904729781050857, "error": -0.00033223874511469076, "absoluteError": 0.00033223874511469076, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011110807598137989 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0011110807598137989 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.13771750568285676, "moment": 0, "term": 0, "partial": 0.08871505906539388, "direct": 0.08904729781050857, "error": -0.00033223874511469076, "absoluteError": 0.00033223874511469076, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0002689795032868296 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0002689795032868296 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.18962542032062463, "moment": 2, "term": 0.00037036214906372, "partial": 0.0890854212144576, "direct": 0.08904729781050857, "error": 0.00003812340394902802, "absoluteError": 0.00003812340394902802, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00018518107453186 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00018518107453186 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.2114886707276722, "moment": 0, "term": 0, "partial": 0.0890854212144576, "direct": 0.08904729781050857, "error": 0.00003812340394902802, "absoluteError": 0.00003812340394902802, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00010326595250374619 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00010326595250374619 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.07428323115700869, "moment": 2, "term": -0.00003627110896338315, "partial": 0.08904915010549422, "direct": 0.08904729781050857, "error": 0.0000018522949856436544, "absoluteError": 0.0000018522949856436544, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000018135554481691574 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000018135554481691574 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.22845920783515714, "moment": 0, "term": 0, "partial": 0.08904915010549422, "direct": 0.08904729781050857, "error": 0.0000018522949856436544, "absoluteError": 0.0000018522949856436544, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00002788808689394008 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00002788808689394008 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.3499030933393643, "x": 1.9514042600770571, "z": 0.43820248031373954, "direct": { "potential": 0.0799306583349822, "ex": 0.09605438274924069, "ez": -0.1680519623268371, "terms": [ { "role": "real", "distance": 2.0306636943060075, "potential": 0.4924498344083295, "ex": 0.23304148335693115, "ez": -0.06709123783954485 }, { "role": "image", "distance": 2.4241297326313784, "potential": -0.4125191760733473, "ex": -0.13698710060769045, "ez": -0.10096072448729226 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.0799306583349822, "error": -0.0799306583349822, "absoluteError": 0.0799306583349822, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.21910124015686977, "moment": 2, "term": 0.10955062007843488, "partial": 0.10955062007843488, "direct": 0.0799306583349822, "error": 0.02961996174345269, "absoluteError": 0.02961996174345269, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.05477531003921744 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.05477531003921744 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.42799196984258253, "moment": 0, "term": 0, "partial": 0.10955062007843488, "direct": 0.0799306583349822, "error": 0.02961996174345269, "absoluteError": 0.02961996174345269, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.053498996230322816 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.053498996230322816 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.30235677905406555, "moment": 2, "term": -0.037794597381758194, "partial": 0.07175602269667669, "direct": 0.0799306583349822, "error": -0.008174635638305505, "absoluteError": 0.008174635638305505, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.018897298690879097 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.018897298690879097 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.20506217317591766, "moment": 0, "term": 0, "partial": 0.07175602269667669, "direct": 0.0799306583349822, "error": -0.008174635638305505, "absoluteError": 0.008174635638305505, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.006408192911747427 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.006408192911747427 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.3227583008570439, "moment": 2, "term": 0.010086196901782621, "partial": 0.08184221959845932, "direct": 0.0799306583349822, "error": 0.0019115612634771212, "absoluteError": 0.0019115612634771212, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.005043098450891311 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.005043098450891311 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.04123778033397698, "moment": 0, "term": 0, "partial": 0.08184221959845932, "direct": 0.0799306583349822, "error": 0.0019115612634771212, "absoluteError": 0.0019115612634771212, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00032217015885919515 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00032217015885919515 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2934297199578065, "moment": 2, "term": -0.002292419687170363, "partial": 0.07954979991128895, "direct": 0.0799306583349822, "error": -0.00038085842369324496, "absoluteError": 0.00038085842369324496, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011462098435851816 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0011462098435851816 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.08446222134834214, "moment": 0, "term": 0, "partial": 0.07954979991128895, "direct": 0.0799306583349822, "error": -0.00038085842369324496, "absoluteError": 0.00038085842369324496, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00016496527607098074 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00016496527607098074 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.22587106034637927, "moment": 2, "term": 0.000441154414739022, "partial": 0.07999095432602797, "direct": 0.0799306583349822, "error": 0.0000602959910457751, "absoluteError": 0.0000602959910457751, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000220577207369511 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000220577207369511 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.17004439514464176, "moment": 0, "term": 0, "partial": 0.07999095432602797, "direct": 0.0799306583349822, "error": 0.0000602959910457751, "absoluteError": 0.0000602959910457751, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00008302948981671961 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00008302948981671961 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.1342104462225055, "moment": 2, "term": -0.00006553244444458276, "partial": 0.07992542188158339, "direct": 0.0799306583349822, "error": -0.000005236453398810292, "absoluteError": 0.000005236453398810292, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003276622222229138 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00003276622222229138 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.21223490636719078, "moment": 0, "term": 0, "partial": 0.07992542188158339, "direct": 0.0799306583349822, "error": -0.000005236453398810292, "absoluteError": 0.000005236453398810292, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000025907581343651218 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000025907581343651218 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.3744467859455345, "x": 1.9615705608064609, "z": 0.39018064403225666, "direct": { "potential": 0.07088105643976311, "ex": 0.08515643871380699, "ez": -0.1703858765375257, "terms": [ { "role": "real", "distance": 2.0541759203961787, "potential": 0.48681322279697203, "ex": 0.22630337610393414, "ez": -0.07035392038728877 }, { "role": "image", "distance": 2.404238192872019, "potential": -0.4159321663572089, "ex": -0.14114693739012715, "ez": -0.10003195615023694 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.07088105643976311, "error": -0.07088105643976311, "absoluteError": 0.07088105643976311, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.19509032201612833, "moment": 2, "term": 0.09754516100806417, "partial": 0.09754516100806417, "direct": 0.07088105643976311, "error": 0.026664104568301053, "absoluteError": 0.026664104568301053, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.04877258050403208 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.04877258050403208 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.442909649383465, "moment": 0, "term": 0, "partial": 0.09754516100806417, "direct": 0.07088105643976311, "error": 0.026664104568301053, "absoluteError": 0.026664104568301053, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.055363706172933125 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.055363706172933125 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.2740725248812033, "moment": 2, "term": -0.034259065610150415, "partial": 0.06328609539791374, "direct": 0.07088105643976311, "error": -0.0075949610418493685, "absoluteError": 0.0075949610418493685, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.017129532805075207 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.017129532805075207 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.23861166705161596, "moment": 0, "term": 0, "partial": 0.06328609539791374, "direct": 0.07088105643976311, "error": -0.0075949610418493685, "absoluteError": 0.0075949610418493685, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.007456614595362999 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.007456614595362999 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.3030495084363916, "moment": 2, "term": 0.009470297138637238, "partial": 0.07275639253655099, "direct": 0.07088105643976311, "error": 0.0018753360967878746, "absoluteError": 0.0018753360967878746, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.004735148569318619 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.004735148569318619 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.09045267453225737, "moment": 0, "term": 0, "partial": 0.07275639253655099, "direct": 0.07088105643976311, "error": 0.0018753360967878746, "absoluteError": 0.0018753360967878746, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007066615197832607 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0007066615197832607 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2925286841200979, "moment": 2, "term": -0.002285380344688265, "partial": 0.07047101219186272, "direct": 0.07088105643976311, "error": -0.00041004424790039296, "absoluteError": 0.00041004424790039296, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011426901723441325 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0011426901723441325 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": -0.027859250754170145, "moment": 0, "term": 0, "partial": 0.07047101219186272, "direct": 0.07088105643976311, "error": -0.00041004424790039296, "absoluteError": 0.00041004424790039296, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000054412599129238565 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000054412599129238565 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.24975925328309756, "moment": 2, "term": 0.0004878110415685499, "partial": 0.07095882323343128, "direct": 0.07088105643976311, "error": 0.00007776679366816586, "absoluteError": 0.00007776679366816586, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00024390552078427496 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00024390552078427496 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.11765199066281692, "moment": 0, "term": 0, "partial": 0.07095882323343128, "direct": 0.07088105643976311, "error": 0.00007776679366816586, "absoluteError": 0.00007776679366816586, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000057447261065828576 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000057447261065828576 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.1832349521092526, "moment": 2, "term": -0.000089470191459596, "partial": 0.07086935304197167, "direct": 0.07088105643976311, "error": -0.000011703397791440473, "absoluteError": 0.000011703397791440473, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000044735095729798 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000044735095729798 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.17636344257982306, "moment": 0, "term": 0, "partial": 0.07086935304197167, "direct": 0.07088105643976311, "error": -0.000011703397791440473, "absoluteError": 0.000011703397791440473, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000021528740549294807 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000021528740549294807 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.3989904785517047, "x": 1.9705552847778824, "z": 0.3419237775206027, "direct": { "potential": 0.061890982903638536, "ex": 0.07433709081282999, "ez": -0.1724184267822314, "terms": [ { "role": "real", "distance": 2.0775351850110253, "potential": 0.4813396216895807, "ex": 0.2197573759011297, "ez": -0.07338901116458721 }, { "role": "image", "distance": 2.3840821200288396, "potential": -0.4194486387859422, "ex": -0.1454202850882997, "ez": -0.0990294156176442 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.061890982903638536, "error": -0.061890982903638536, "absoluteError": 0.061890982903638536, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.17096188876030136, "moment": 2, "term": 0.08548094438015068, "partial": 0.08548094438015068, "direct": 0.061890982903638536, "error": 0.023589961476512142, "absoluteError": 0.023589961476512142, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.04274047219007534 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.04274047219007534 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.4561580488872655, "moment": 0, "term": 0, "partial": 0.08548094438015068, "direct": 0.061890982903638536, "error": 0.023589961476512142, "absoluteError": 0.023589961476512142, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.05701975611090819 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.05701975611090819 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.24395066185850223, "moment": 2, "term": -0.03049383273231278, "partial": 0.0549871116478379, "direct": 0.061890982903638536, "error": -0.0069038712558006365, "absoluteError": 0.0069038712558006365, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.01524691636615639 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.01524691636615639 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.26913257131305257, "moment": 0, "term": 0, "partial": 0.0549871116478379, "direct": 0.061890982903638536, "error": -0.0069038712558006365, "absoluteError": 0.0069038712558006365, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.008410392853532893 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.008410392853532893 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.27798107238027453, "moment": 2, "term": 0.008686908511883579, "partial": 0.06367402015972148, "direct": 0.061890982903638536, "error": 0.0017830372560829477, "absoluteError": 0.0017830372560829477, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0043434542559417895 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0043434542559417895 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.13714949927567657, "moment": 0, "term": 0, "partial": 0.06367402015972148, "direct": 0.061890982903638536, "error": 0.0017830372560829477, "absoluteError": 0.0017830372560829477, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0010714804630912232 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0010714804630912232 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.2818145458549625, "moment": 2, "term": -0.0022016761394918947, "partial": 0.06147234402022959, "direct": 0.061890982903638536, "error": -0.0004186388834089491, "absoluteError": 0.0004186388834089491, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0011008380697459473 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0011008380697459473 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.029669161167171484, "moment": 0, "term": 0, "partial": 0.06147234402022959, "direct": 0.061890982903638536, "error": -0.0004186388834089491, "absoluteError": 0.0004186388834089491, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000057947580404631806 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000057947580404631806 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.2600828217742165, "moment": 2, "term": 0.0005079742612777666, "partial": 0.06198031828150735, "direct": 0.061890982903638536, "error": 0.00008933537786881551, "absoluteError": 0.00008933537786881551, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0002539871306388833 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0002539871306388833 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.05777983079434055, "moment": 0, "term": 0, "partial": 0.06198031828150735, "direct": 0.061890982903638536, "error": 0.00008933537786881551, "absoluteError": 0.00008933537786881551, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000028212808005049096 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000028212808005049096 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.21758064442184474, "moment": 2, "term": -0.00010624054903410388, "partial": 0.06187407773247325, "direct": 0.061890982903638536, "error": -0.00001690517116528789, "absoluteError": 0.00001690517116528789, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005312027451705194 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005312027451705194 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.12426100759022622, "moment": 0, "term": 0, "partial": 0.06187407773247325, "direct": 0.061890982903638536, "error": -0.00001690517116528789, "absoluteError": 0.00001690517116528789, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000015168580028103787 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000015168580028103787 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.423534171157875, "x": 1.978353019929562, "z": 0.2934609489107235, "direct": { "potential": 0.05295294542787288, "ex": 0.0635870942023731, "ez": -0.17415980901114303, "terms": [ { "role": "real", "distance": 2.100732753631112, "potential": 0.4760243768615985, "ex": 0.21339850365651383, "ez": -0.0762120687048629 }, { "role": "image", "distance": 2.3636670446197465, "potential": -0.4230714314337256, "ex": -0.14981140945414073, "ez": -0.09794774030628013 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.05295294542787288, "error": -0.05295294542787288, "absoluteError": 0.05295294542787288, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.14673047445536175, "moment": 2, "term": 0.07336523722768087, "partial": 0.07336523722768087, "direct": 0.05295294542787288, "error": 0.020412291799807997, "absoluteError": 0.020412291799807997, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03668261861384044 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.03668261861384044 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 0, "term": 0, "partial": 0.07336523722768087, "direct": 0.05295294542787288, "error": 0.020412291799807997, "absoluteError": 0.020412291799807997, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.058463156474894584 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.058463156474894584 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.21219800547316567, "moment": 2, "term": -0.02652475068414571, "partial": 0.04684048654353516, "direct": 0.05295294542787288, "error": -0.006112458884337715, "absoluteError": 0.006112458884337715, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.013262375342072854 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.013262375342072854 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.29629108931163917, "moment": 0, "term": 0, "partial": 0.04684048654353516, "direct": 0.05295294542787288, "error": -0.006112458884337715, "absoluteError": 0.006112458884337715, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.009259096540988724 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.009259096540988724 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.24801328217939952, "moment": 2, "term": 0.007750415068106235, "partial": 0.0545909016116414, "direct": 0.05295294542787288, "error": 0.0016379561837685241, "absoluteError": 0.0016379561837685241, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0038752075340531176 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0038752075340531176 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.18019221238977212, "moment": 0, "term": 0, "partial": 0.0545909016116414, "direct": 0.05295294542787288, "error": 0.0016379561837685241, "absoluteError": 0.0016379561837685241, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0014077516592950947 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0014077516592950947 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.26168509252840866, "moment": 2, "term": -0.0020444147853781926, "partial": 0.05254648682626321, "direct": 0.05295294542787288, "error": -0.00040645860160967023, "absoluteError": 0.00040645860160967023, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0010222073926890963 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0010222073926890963 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.08567347749494691, "moment": 0, "term": 0, "partial": 0.05254648682626321, "direct": 0.05295294542787288, "error": -0.00040645860160967023, "absoluteError": 0.00040645860160967023, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0001673310107323182 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0001673310107323182 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.25635402336061475, "moment": 2, "term": 0.0005006914518762007, "partial": 0.05304717827813941, "direct": 0.05295294542787288, "error": 0.00009423285026653044, "absoluteError": 0.00009423285026653044, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00025034572593810034 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00025034572593810034 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.005637729540588832, "moment": 0, "term": 0, "partial": 0.05304717827813941, "direct": 0.05295294542787288, "error": 0.00009423285026653044, "absoluteError": 0.00009423285026653044, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000027527976272406405 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0000027527976272406405 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.23462836317666555, "moment": 2, "term": -0.00011456463045735623, "partial": 0.05293261364768205, "direct": 0.05295294542787288, "error": -0.000020331780190827042, "absoluteError": 0.000020331780190827042, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005728231522867811 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005728231522867811 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.06081741576618794, "moment": 0, "term": 0, "partial": 0.05293261364768205, "direct": 0.05295294542787288, "error": -0.000020331780190827042, "absoluteError": 0.000020331780190827042, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000007424000948020989 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000007424000948020989 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.4480778637640452, "x": 1.98495906919742, "z": 0.24482135039843256, "direct": { "potential": 0.044059469371397764, "ex": 0.05289695515557538, "ez": -0.1756187590174042, "terms": [ { "role": "real", "distance": 2.12376017930536, "potential": 0.4708629579480486, "ex": 0.20722165379076066, "ez": -0.07883757962887548 }, { "role": "image", "distance": 2.3429986557394487, "potential": -0.42680348857665085, "ex": -0.15432469863518528, "ez": -0.0967811793885287 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.044059469371397764, "error": -0.044059469371397764, "absoluteError": 0.044059469371397764, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.12241067519921628, "moment": 2, "term": 0.06120533759960814, "partial": 0.06120533759960814, "direct": 0.044059469371397764, "error": 0.017145868228210376, "absoluteError": 0.017145868228210376, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.03060266879980407 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.03060266879980407 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.47752343989590795, "moment": 0, "term": 0, "partial": 0.06120533759960814, "direct": 0.044059469371397764, "error": 0.017145868228210376, "absoluteError": 0.017145868228210376, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.059690429986988494 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.059690429986988494 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.17903039463466164, "moment": 2, "term": -0.022378799329332705, "partial": 0.038826538270275435, "direct": 0.044059469371397764, "error": -0.005232931101122329, "absoluteError": 0.005232931101122329, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.011189399664666352 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.011189399664666352 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.3197909248172116, "moment": 0, "term": 0, "partial": 0.038826538270275435, "direct": 0.044059469371397764, "error": -0.005232931101122329, "absoluteError": 0.005232931101122329, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.009993466400537863 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.009993466400537863 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.2136867971607513, "moment": 2, "term": 0.0066777124112734785, "partial": 0.04550425068154891, "direct": 0.044059469371397764, "error": 0.001444781310151147, "absoluteError": 0.001444781310151147, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0033388562056367393 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0033388562056367393 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.21853693795806617, "moment": 0, "term": 0, "partial": 0.04550425068154891, "direct": 0.044059469371397764, "error": 0.001444781310151147, "absoluteError": 0.001444781310151147, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.001707319827797392 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.001707319827797392 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.23284101238184535, "moment": 2, "term": -0.0018190704092331668, "partial": 0.04368518027231574, "direct": 0.044059469371397764, "error": -0.00037428909908202024, "absoluteError": 0.00037428909908202024, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0009095352046165834 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0009095352046165834 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.1377781478263127, "moment": 0, "term": 0, "partial": 0.04368518027231574, "direct": 0.044059469371397764, "error": -0.00037428909908202024, "absoluteError": 0.00037428909908202024, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000269097944973267 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000269097944973267 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.23882687475641567, "moment": 2, "term": 0.00046645873975862436, "partial": 0.04415163901207437, "direct": 0.044059469371397764, "error": 0.0000921696406766051, "absoluteError": 0.0000921696406766051, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00023322936987931218 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00023322936987931218 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.06845391095384358, "moment": 0, "term": 0, "partial": 0.04415163901207437, "direct": 0.044059469371397764, "error": 0.0000921696406766051, "absoluteError": 0.0000921696406766051, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000033424761207931436 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000033424761207931436 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.23311254783834404, "moment": 2, "term": -0.00011382448624919142, "partial": 0.04403781452582518, "direct": 0.044059469371397764, "error": -0.000021654845572587067, "absoluteError": 0.000021654845572587067, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00005691224312459571 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00005691224312459571 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.00805644498261246, "moment": 0, "term": 0, "partial": 0.04403781452582518, "direct": 0.044059469371397764, "error": -0.000021654845572587067, "absoluteError": 0.000021654845572587067, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 9.8345275666656e-7 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -9.8345275666656e-7 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.4726215563702154, "x": 1.9903694533443936, "z": 0.19603428065912154, "direct": { "potential": 0.035203097290286756, "ex": 0.04225697892417929, "ez": -0.17680259543532606, "terms": [ { "role": "real", "distance": 2.1466092887812063, "potential": 0.4658509609672733, "ex": 0.2012216403084442, "ez": -0.08127903114956912 }, { "role": "image", "distance": 2.3220828067315433, "potential": -0.43064786367698654, "ex": -0.1589646613842649, "ez": -0.09552356428575695 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.035203097290286756, "error": -0.035203097290286756, "absoluteError": 0.035203097290286756, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.09801714032956077, "moment": 2, "term": 0.049008570164780385, "partial": 0.049008570164780385, "direct": 0.035203097290286756, "error": 0.01380547287449363, "absoluteError": 0.01380547287449363, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.024504285082390193 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.024504285082390193 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.48558896030242277, "moment": 0, "term": 0, "partial": 0.049008570164780385, "direct": 0.035203097290286756, "error": 0.01380547287449363, "absoluteError": 0.01380547287449363, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.060698620037802846 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.060698620037802846 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.14467149566045398, "moment": 2, "term": -0.018083936957556748, "partial": 0.030924633207223638, "direct": 0.035203097290286756, "error": -0.004278464083063118, "absoluteError": 0.004278464083063118, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.009041968478778374 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.009041968478778374 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.3393762192161003, "moment": 0, "term": 0, "partial": 0.030924633207223638, "direct": 0.035203097290286756, "error": -0.004278464083063118, "absoluteError": 0.004278464083063118, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.010605506850503134 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.010605506850503134 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.1756136322345197, "moment": 2, "term": 0.005487926007328741, "partial": 0.03641255921455238, "direct": 0.035203097290286756, "error": 0.0012094619242656243, "absoluteError": 0.0012094619242656243, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0027439630036643703 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0027439630036643703 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.25125608161680646, "moment": 0, "term": 0, "partial": 0.03641255921455238, "direct": 0.035203097290286756, "error": 0.0012094619242656243, "absoluteError": 0.0012094619242656243, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0019629381376313005 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0019629381376313005 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.19626257533478422, "moment": 2, "term": -0.0015333013698030017, "partial": 0.03487925784474938, "direct": 0.035203097290286756, "error": -0.0003238394455373772, "absoluteError": 0.0003238394455373772, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0007666506849015009 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0007666506849015009 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.1837795156871484, "moment": 0, "term": 0, "partial": 0.03487925784474938, "direct": 0.035203097290286756, "error": -0.0003238394455373772, "absoluteError": 0.0003238394455373772, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0003589443665764617 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0003589443665764617 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.20848120294644165, "moment": 2, "term": 0.00040718984950476885, "partial": 0.035286447694254146, "direct": 0.035203097290286756, "error": 0.00008335040396739019, "absoluteError": 0.00008335040396739019, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00020359492475238443 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00020359492475238443 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.12657557460040725, "moment": 0, "term": 0, "partial": 0.035286447694254146, "direct": 0.035203097290286756, "error": 0.00008335040396739019, "absoluteError": 0.00008335040396739019, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0000618044797853551 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0000618044797853551 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.21321364749821614, "moment": 2, "term": -0.00010410822631748835, "partial": 0.035182339467936655, "direct": 0.035203097290286756, "error": -0.00002075782235010093, "absoluteError": 0.00002075782235010093, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000052054113158744175 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000052054113158744175 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.07597197537027052, "moment": 0, "term": 0, "partial": 0.035182339467936655, "direct": 0.035203097290286756, "error": -0.00002075782235010093, "absoluteError": 0.00002075782235010093, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000009273922774691226 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000009273922774691226 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.4971652489763858, "x": 1.9945809133573804, "z": 0.1471291271993349, "direct": { "potential": 0.026376387492392572, "ex": 0.0316573117536387, "ez": -0.1777172562592844, "terms": [ { "role": "real", "distance": 2.1692721695539565, "potential": 0.46098410980196136, "ex": 0.19539323585521995, "ez": -0.08354897938067699 }, { "role": "image", "distance": 2.3009255212628394, "potential": -0.4346077223095688, "ex": -0.16373592410158125, "ez": -0.0941682768786074 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.026376387492392572, "error": -0.026376387492392572, "absoluteError": 0.026376387492392572, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.07356456359966745, "moment": 2, "term": 0.03678228179983373, "partial": 0.03678228179983373, "direct": 0.026376387492392572, "error": 0.010405894307441155, "absoluteError": 0.010405894307441155, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.018391140899916864 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.018391140899916864 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.49188238247358573, "moment": 0, "term": 0, "partial": 0.03678228179983373, "direct": 0.026376387492392572, "error": 0.010405894307441155, "absoluteError": 0.010405894307441155, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.06148529780919822 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.06148529780919822 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.10935156374816839, "moment": 2, "term": -0.013668945468521048, "partial": 0.023113336331312677, "direct": 0.026376387492392572, "error": -0.0032630511610798954, "absoluteError": 0.0032630511610798954, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.006834472734260524 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.006834472734260524 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.3548340867395577, "moment": 0, "term": 0, "partial": 0.023113336331312677, "direct": 0.026376387492392572, "error": -0.0032630511610798954, "absoluteError": 0.0032630511610798954, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.011088565210611178 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.011088565210611178 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.1344670375328425, "moment": 2, "term": 0.004202094922901328, "partial": 0.027315431254214005, "direct": 0.026376387492392572, "error": 0.0009390437618214328, "absoluteError": 0.0009390437618214328, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.002101047461450664 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.002101047461450664 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.27755972256945133, "moment": 0, "term": 0, "partial": 0.027315431254214005, "direct": 0.026376387492392572, "error": 0.0009390437618214328, "absoluteError": 0.0009390437618214328, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0021684353325738385 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0021684353325738385 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.15317764334638845, "moment": 2, "term": -0.0011967003386436597, "partial": 0.02611873091557035, "direct": 0.026376387492392572, "error": -0.00025765657682222387, "absoluteError": 0.00025765657682222387, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0005983501693218299 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.0005983501693218299 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2217364200870151, "moment": 0, "term": 0, "partial": 0.02611873091557035, "direct": 0.026376387492392572, "error": -0.00025765657682222387, "absoluteError": 0.00025765657682222387, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004330789454824514 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0004330789454824514 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.1669693530438469, "moment": 2, "term": 0.0003261120176637635, "partial": 0.02644484293323411, "direct": 0.026376387492392572, "error": 0.00006845544084153887, "absoluteError": 0.00006845544084153887, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00016305600883188175 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00016305600883188175 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.17622502565505374, "moment": 0, "term": 0, "partial": 0.02644484293323411, "direct": 0.026376387492392572, "error": 0.00006845544084153887, "absoluteError": 0.00006845544084153887, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00008604737580813171 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00008604737580813171 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.17653961724538256, "moment": 2, "term": -0.00008620098498309695, "partial": 0.026358641948251015, "direct": 0.026376387492392572, "error": -0.000017745544141557767, "absoluteError": 0.000017745544141557767, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000043100492491548476 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000043100492491548476 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.13664774204077387, "moment": 0, "term": 0, "partial": 0.026358641948251015, "direct": 0.026376387492392572, "error": -0.000017745544141557767, "absoluteError": 0.000017745544141557767, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000016680632573336654 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000016680632573336654 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.521708941582556, "x": 1.9975909124103448, "z": 0.09813534865483625, "direct": { "potential": 0.017571911799097728, "ex": 0.021087978165375693, "ez": -0.17836732879832357, "terms": [ { "role": "real", "distance": 2.1917411577762387, "potential": 0.45625825679826604, "ex": 0.18973120466674975, "ez": -0.08565911352670712 }, { "role": "image", "distance": 2.2795329998290597, "potential": -0.4386863449991683, "ex": -0.16864322650137406, "ez": -0.09270821527161643 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.017571911799097728, "error": -0.017571911799097728, "absoluteError": 0.017571911799097728, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.049067674327418126, "moment": 2, "term": 0.024533837163709063, "partial": 0.024533837163709063, "direct": 0.017571911799097728, "error": 0.006961925364611335, "absoluteError": 0.006961925364611335, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.012266918581854531 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.012266918581854531 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 0, "term": 0, "partial": 0.024533837163709063, "direct": 0.017571911799097728, "error": 0.006961925364611335, "absoluteError": 0.006961925364611335, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.062048568125518455 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.062048568125518455 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.0733061686618195, "moment": 2, "term": -0.009163271082727438, "partial": 0.015370566080981625, "direct": 0.017571911799097728, "error": -0.0022013457181161034, "absoluteError": 0.0022013457181161034, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.004581635541363719 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.004581635541363719 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.36599672313545506, "moment": 0, "term": 0, "partial": 0.015370566080981625, "direct": 0.017571911799097728, "error": -0.0022013457181161034, "absoluteError": 0.0022013457181161034, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01143739759798297 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.01143739759798297 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.09097042935773851, "moment": 2, "term": 0.0028428259174293285, "partial": 0.018213391998410954, "direct": 0.017571911799097728, "error": 0.0006414801993132255, "absoluteError": 0.0006414801993132255, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0014214129587146642 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0014214129587146642 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.2968138057107692, "moment": 0, "term": 0, "partial": 0.018213391998410954, "direct": 0.017571911799097728, "error": 0.0006414801993132255, "absoluteError": 0.0006414801993132255, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0023188578571153844 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0023188578571153844 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.10502201387927136, "moment": 2, "term": -0.0008204844834318075, "partial": 0.017392907514979145, "direct": 0.017571911799097728, "error": -0.0001790042841185828, "absoluteError": 0.0001790042841185828, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00041024224171590376 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00041024224171590376 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2500498562952274, "moment": 0, "term": 0, "partial": 0.017392907514979145, "direct": 0.017571911799097728, "error": -0.0001790042841185828, "absoluteError": 0.0001790042841185828, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000488378625576616 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000488378625576616 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.11652836828638595, "moment": 2, "term": 0.00022759446930934756, "partial": 0.017620501984288495, "direct": 0.017571911799097728, "error": 0.00004859018519076663, "absoluteError": 0.00004859018519076663, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00011379723465467378 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.00011379723465467378 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.2141810962182392, "moment": 0, "term": 0, "partial": 0.017620501984288495, "direct": 0.017571911799097728, "error": 0.00004859018519076663, "absoluteError": 0.00004859018519076663, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0001045806133878121 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0001045806133878121 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.12599821969697317, "moment": 2, "term": -0.00006152256821141268, "partial": 0.01755897941607708, "direct": 0.017571911799097728, "error": -0.00001293238302064667, "absoluteError": 0.00001293238302064667, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00003076128410570634 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00003076128410570634 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.18448299561436196, "moment": 0, "term": 0, "partial": 0.01755897941607708, "direct": 0.017571911799097728, "error": -0.00001293238302064667, "absoluteError": 0.00001293238302064667, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000022519896925581294 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000022519896925581294 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.5462526341887264, "x": 1.9993976373924085, "z": 0.04908245704582453, "direct": { "potential": 0.008782252690715808, "ex": 0.010538914543161804, "ez": -0.17875607301269383, "terms": [ { "role": "real", "distance": 2.2140088269716434, "potential": 0.45166938262293016, "ex": 0.18423033020733054, "ez": -0.08762031607022862 }, { "role": "image", "distance": 2.2579116267231654, "potential": -0.44288712993221435, "ex": -0.17369141566416874, "ez": -0.09113575694246522 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.008782252690715808, "error": -0.008782252690715808, "absoluteError": 0.008782252690715808, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.024541228522912264, "moment": 2, "term": 0.012270614261456132, "partial": 0.012270614261456132, "direct": 0.008782252690715808, "error": 0.0034883615707403236, "absoluteError": 0.0034883615707403236, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.006135307130728066 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.006135307130728066 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.4990965921538793, "moment": 0, "term": 0, "partial": 0.012270614261456132, "direct": 0.008782252690715808, "error": 0.0034883615707403236, "absoluteError": 0.0034883615707403236, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.06238707401923491 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.06238707401923491 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.0367748915537, "moment": 2, "term": -0.0045968614442125, "partial": 0.007673752817243632, "direct": 0.008782252690715808, "error": -0.0011084998734721763, "absoluteError": 0.0011084998734721763, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00229843072210625 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.00229843072210625 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.37274306733474133, "moment": 0, "term": 0, "partial": 0.007673752817243632, "direct": 0.008782252690715808, "error": -0.0011084998734721763, "absoluteError": 0.0011084998734721763, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.011648220854210667 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.011648220854210667 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 0.04588554427538769, "moment": 2, "term": 0.0014339232586058654, "partial": 0.009107676075849497, "direct": 0.008782252690715808, "error": 0.00032542338513368886, "absoluteError": 0.00032542338513368886, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0007169616293029327 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0007169616293029327 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.30855472879435686, "moment": 0, "term": 0, "partial": 0.009107676075849497, "direct": 0.008782252690715808, "error": 0.00032542338513368886, "absoluteError": 0.00032542338513368886, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.002410583818705913 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.002410583818705913 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -0.053393331871072, "moment": 2, "term": -0.00041713540524275, "partial": 0.008690540670606747, "direct": 0.008782252690715808, "error": -0.00009171202010906099, "absoluteError": 0.00009171202010906099, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000208567702621375 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000208567702621375 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.26752850402184786, "moment": 0, "term": 0, "partial": 0.008690540670606747, "direct": 0.008782252690715808, "error": -0.00009171202010906099, "absoluteError": 0.00009171202010906099, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005225166094176716 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005225166094176716 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.05986219817551749, "moment": 2, "term": 0.0001169183558115576, "partial": 0.008807459026418305, "direct": 0.008782252690715808, "error": 0.00002520633570249689, "absoluteError": 0.00002520633570249689, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0000584591779057788 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0000584591779057788 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.23798437903757552, "moment": 0, "term": 0, "partial": 0.008807459026418305, "direct": 0.008782252690715808, "error": 0.00002520633570249689, "absoluteError": 0.00002520633570249689, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00011620331007694117 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00011620331007694117 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.06557009012753724, "moment": 2, "term": -0.000032016645570086544, "partial": 0.008775442380848219, "direct": 0.008782252690715808, "error": -0.000006810309867589376, "absoluteError": 0.000006810309867589376, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000016008322785043272 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000016008322785043272 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.2150681038661092, "moment": 0, "term": 0, "partial": 0.008775442380848219, "direct": 0.008782252690715808, "error": -0.000006810309867589376, "absoluteError": 0.000006810309867589376, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000026253430647718408 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.000026253430647718408 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, { "radius": 2, "theta": 1.5707963267948966, "x": 2, "z": 1.2246467991473532e-16, "direct": { "potential": 0, "ex": 0, "ez": -0.17888543819998315, "terms": [ { "role": "real", "distance": 2.23606797749979, "potential": 0.4472135954999579, "ex": 0.17888543819998315, "ez": -0.08944271909999156 }, { "role": "image", "distance": 2.23606797749979, "potential": -0.4472135954999579, "ex": -0.17888543819998315, "ez": -0.08944271909999159 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 6.123233995736766e-17, "moment": 2, "term": 3.061616997868383e-17, "partial": 3.061616997868383e-17, "direct": 0, "error": 3.061616997868383e-17, "absoluteError": 3.061616997868383e-17, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 1.5308084989341915e-17 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 1.5308084989341915e-17 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": -0.5, "moment": 0, "term": 0, "partial": 3.061616997868383e-17, "direct": 0, "error": 3.061616997868383e-17, "absoluteError": 3.061616997868383e-17, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0625 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0625 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -9.18485099360515e-17, "moment": 2, "term": -1.1481063742006437e-17, "partial": 1.9135106236677392e-17, "direct": 0, "error": 1.9135106236677392e-17, "absoluteError": 1.9135106236677392e-17, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -5.7405318710032185e-18 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -5.7405318710032185e-18 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": 0.375, "moment": 0, "term": 0, "partial": 1.9135106236677392e-17, "direct": 0, "error": 1.9135106236677392e-17, "absoluteError": 1.9135106236677392e-17, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.01171875 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.01171875 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": 1.1481063742006435e-16, "moment": 2, "term": 3.587832419377011e-18, "partial": 2.2722938656054404e-17, "direct": 0, "error": 2.2722938656054404e-17, "absoluteError": 2.2722938656054404e-17, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 1.7939162096885055e-18 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 1.7939162096885055e-18 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.3125, "moment": 0, "term": 0, "partial": 2.2722938656054404e-17, "direct": 0, "error": 2.2722938656054404e-17, "absoluteError": 2.2722938656054404e-17, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.00244140625 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.00244140625 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": -1.3394574365674174e-16, "moment": 2, "term": -1.0464511223182949e-18, "partial": 2.167648753373611e-17, "direct": 0, "error": 2.167648753373611e-17, "absoluteError": 2.167648753373611e-17, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -5.232255611591474e-19 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -5.232255611591474e-19 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.2734375, "moment": 0, "term": 0, "partial": 2.167648753373611e-17, "direct": 0, "error": 2.167648753373611e-17, "absoluteError": 2.167648753373611e-17, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005340576171875 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005340576171875 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 1.5068896161383446e-16, "moment": 2, "term": 2.9431437815202043e-19, "partial": 2.1970801911888128e-17, "direct": 0, "error": 2.1970801911888128e-17, "absoluteError": 2.1970801911888128e-17, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 1.4715718907601022e-19 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 1.4715718907601022e-19 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": -0.24609375, "moment": 0, "term": 0, "partial": 2.1970801911888128e-17, "direct": 0, "error": 2.1970801911888128e-17, "absoluteError": 2.1970801911888128e-17, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.0001201629638671875 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.0001201629638671875 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -1.6575785777521791e-16, "moment": 2, "term": -8.093645399180562e-20, "partial": 2.1889865457896324e-17, "direct": 0, "error": 2.1889865457896324e-17, "absoluteError": 2.1889865457896324e-17, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -4.046822699590281e-20 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -4.046822699590281e-20 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": 0.2255859375, "moment": 0, "term": 0, "partial": 2.1889865457896324e-17, "direct": 0, "error": 2.1889865457896324e-17, "absoluteError": 2.1889865457896324e-17, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00002753734588623047 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00002753734588623047 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] } ], "probe": { "radius": 2, "theta": 0.7853981633974483, "x": 1.414213562373095, "z": 1.4142135623730951, "direct": { "potential": 0.32119160020925375, "ex": 0.3773639965418223, "ez": 0.019217380148605384, "terms": [ { "role": "real", "distance": 1.4736257582079006, "potential": 0.678598344545847, "ex": 0.44192989938157196, "ez": 0.12943827071977385 }, { "role": "image", "distance": 2.7979326519318133, "potential": -0.35740674433659325, "ex": -0.0645659028397497, "ez": -0.11022089057116846 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0.32119160020925375, "error": -0.32119160020925375, "absoluteError": 0.32119160020925375, "tailBound": 1, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.5 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.5 } ], "tailTerms": [ 0.5, 0.5 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 2, "term": 0.3535533905932738, "partial": 0.3535533905932738, "direct": 0.32119160020925375, "error": 0.03236179038402004, "absoluteError": 0.03236179038402004, "tailBound": 0.5, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.1767766952966369 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.1767766952966369 } ], "tailTerms": [ 0.25, 0.25 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 0, "term": 0, "partial": 0.3535533905932738, "direct": 0.32119160020925375, "error": 0.03236179038402004, "absoluteError": 0.03236179038402004, "tailBound": 0.25, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.031250000000000014 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.031250000000000014 } ], "tailTerms": [ 0.125, 0.125 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 2, "term": -0.022097086912079594, "partial": 0.33145630368119416, "direct": 0.32119160020925375, "error": 0.010264703471940417, "absoluteError": 0.010264703471940417, "tailBound": 0.125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.011048543456039797 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.011048543456039797 } ], "tailTerms": [ 0.0625, 0.0625 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 0, "term": 0, "partial": 0.33145630368119416, "direct": 0.32119160020925375, "error": 0.010264703471940417, "absoluteError": 0.010264703471940417, "tailBound": 0.0625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.012695312499999997 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.012695312499999997 } ], "tailTerms": [ 0.03125, 0.03125 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 2, "term": -0.011739077422042294, "partial": 0.3197172262591519, "direct": 0.32119160020925375, "error": -0.0014743739501018593, "absoluteError": 0.0014743739501018593, "tailBound": 0.03125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.005869538711021147 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.005869538711021147 } ], "tailTerms": [ 0.015625, 0.015625 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 0, "term": 0, "partial": 0.3197172262591519, "direct": 0.32119160020925375, "error": -0.0014743739501018593, "absoluteError": 0.0014743739501018593, "tailBound": 0.015625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.001159667968750001 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.001159667968750001 } ], "tailTerms": [ 0.0078125, 0.0078125 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 2, "term": 0.0009926425761285751, "partial": 0.32070986883528046, "direct": 0.32119160020925375, "error": -0.00048173137397328203, "absoluteError": 0.00048173137397328203, "tailBound": 0.0078125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0004963212880642876 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.0004963212880642876 } ], "tailTerms": [ 0.00390625, 0.00390625 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 0, "term": 0, "partial": 0.32070986883528046, "direct": 0.32119160020925375, "error": -0.00048173137397328203, "absoluteError": 0.00048173137397328203, "tailBound": 0.00390625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.0005826950073242186 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.0005826950073242186 } ], "tailTerms": [ 0.001953125, 0.001953125 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 2, "term": 0.00055768709949615, "partial": 0.3212675559347766, "direct": 0.32119160020925375, "error": 0.00007595572552288044, "absoluteError": 0.00007595572552288044, "tailBound": 0.001953125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.000278843549748075 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": 0.000278843549748075 } ], "tailTerms": [ 0.0009765625, 0.0009765625 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 0, "term": 0, "partial": 0.3212675559347766, "direct": 0.32119160020925375, "error": 0.00007595572552288044, "absoluteError": 0.00007595572552288044, "tailBound": 0.0009765625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": 0.00005620718002319345 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": -0.00005620718002319345 } ], "tailTerms": [ 0.00048828125, 0.00048828125 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2, "term": -0.000050871246152649006, "partial": 0.32121668468862397, "direct": 0.32119160020925375, "error": 0.000025084479370218737, "absoluteError": 0.000025084479370218737, "tailBound": 0.00048828125, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000025435623076324503 }, { "role": "image", "charge": -1, "position": -1, "moment": 1, "contribution": -0.000025435623076324503 } ], "tailTerms": [ 0.000244140625, 0.000244140625 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 0, "term": 0, "partial": 0.32121668468862397, "direct": 0.32119160020925375, "error": 0.000025084479370218737, "absoluteError": 0.000025084479370218737, "tailBound": 0.000244140625, "sourceTerms": [ { "role": "real", "charge": 1, "position": 1, "moment": 1, "contribution": -0.000030117109417915334 }, { "role": "image", "charge": -1, "position": -1, "moment": -1, "contribution": 0.000030117109417915334 } ], "tailTerms": [ 0.0001220703125, 0.0001220703125 ] } ] }, "selectedOrder": 4, "quadratureStatus": { "converged": true, "estimatedError": 6.606333280354705e-11, "total": -0.8759652654107837, "exactFinite": -0.8759652654107917, "infiniteOrFullCharge": -1, "remainingCharge": -0.12403473458920833 }, "units": "k=1；epsilon0=1/(4pi)。平面横坐标rho/d，球面横坐标theta；长度、势、场与电荷各自标明。", "scope": "数学像只在指定物理域外辅助构造。边界采样不是唯一性证明；Simpson误差估计不是严格上界；多极绝对尾界来自完整源展开。" }, "grounded": { "version": 164, "parameters": { "geometry": "grounded", "q": "1", "a": "1", "gap": "1", "Q": "0", "farRatio": "2", "order": "4", "angle": "45" }, "model": { "geometry": "grounded", "q": 1, "a": 1, "gap": 1, "d": 2, "Q": 0, "qp": -0.5, "b": 0.5, "q0": 0, "sources": [ { "role": "real", "q": 1, "z": 2 }, { "role": "image", "q": -0.5, "z": 0.5 } ], "surfacePotential": 0, "surfaceCharge": -0.5, "physicalDomain": "r>a，球面等势，远处V趋于0，球面V=0" }, "boundary": [ { "coordinate": 0, "angle": 0, "x": 0, "z": 1, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": -3, "terms": [ { "role": "real", "distance": 1, "potential": 1, "ex": 0, "ez": -1 }, { "role": "image", "distance": 0.5, "potential": -1, "ex": 0, "ez": -2 } ], "normalField": -3, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -3, "normalResidual": 0, "density": -0.238732414637843, "expectedDensity": -0.238732414637843, "capCharge": 0 }, { "coordinate": 0.04908738521234052, "angle": 0.04908738521234052, "x": 0.049067674327418015, "z": 0.9987954562051724, "normal": [ 0.049067674327418015, 0.9987954562051724 ], "tangent": [ 0.9987954562051724, -0.049067674327418015 ], "potential": 0, "ex": -0.14614551965127248, "ez": -2.9748603937984055, "terms": [ { "role": "real", "distance": 1.0024061927079813, "potential": 0.9975995831575212, "ex": 0.048715173217090825, "ez": -0.9940119120226896 }, { "role": "image", "distance": 0.5012030963539906, "potential": -0.9975995831575212, "ex": -0.1948606928683633, "ez": -1.980848481775716 } ], "normalField": -2.978448064933237, "tangentialField": -2.7755575615628914e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -2.978448064933237, "normalResidual": 0, "density": -0.2370173661383076, "expectedDensity": -0.2370173661383076, "capCharge": -0.0018003126318590671 }, { "coordinate": 0.09817477042468103, "angle": 0.09817477042468103, "x": 0.0980171403295606, "z": 0.9951847266721969, "normal": [ 0.0980171403295606, 0.9951847266721969 ], "tangent": [ 0.9951847266721969, -0.0980171403295606 ], "potential": 2.220446049250313e-16, "ex": -0.28575583822023615, "ez": -2.9013277147040513, "terms": [ { "role": "real", "distance": 1.0095846142405362, "potential": 0.9905063784596734, "ex": 0.09525194607341213, "ez": -0.9764680943246798 }, { "role": "image", "distance": 0.5047923071202682, "potential": -0.9905063784596732, "ex": -0.3810077842936483, "ez": -1.9248596203793713 } ], "normalField": -2.9153659988390452, "tangentialField": 1.1102230246251565e-16, "expectedPotential": 0, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -2.9153659988390452, "normalResidual": 0, "density": -0.23199745481863743, "expectedDensity": -0.23199745481863743, "capCharge": -0.007120216155244956 }, { "coordinate": 0.14726215563702155, "angle": 0.14726215563702155, "x": 0.14673047445536175, "z": 0.989176509964781, "normal": [ 0.14673047445536175, 0.989176509964781 ], "tangent": [ 0.989176509964781, -0.14673047445536175 ], "potential": 2.220446049250313e-16, "ex": -0.4130774970212424, "ez": -2.784742285916659, "terms": [ { "role": "real", "distance": 1.021417622787504, "potential": 0.9790314732097003, "ex": 0.13769249900708094, "ez": -0.9485610464672122 }, { "role": "image", "distance": 0.5107088113937521, "potential": -0.9790314732097001, "ex": -0.5507699960283233, "ez": -1.8361812394494468 } ], "normalField": -2.815212712659147, "tangentialField": 1.6653345369377348e-16, "expectedPotential": 0, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -2.815212712659147, "normalResidual": 0, "density": -0.22402750953742342, "expectedDensity": -0.22402750953742342, "capCharge": -0.01572639509272487 }, { "coordinate": 0.19634954084936207, "angle": 0.19634954084936207, "x": 0.19509032201612825, "z": 0.9807852804032304, "normal": [ 0.19509032201612825, 0.9807852804032304 ], "tangent": [ 0.9807852804032304, -0.19509032201612825 ], "potential": 0, "ex": -0.5237436743987287, "ez": -2.6330372580558303, "terms": [ { "role": "real", "distance": 1.037718111235936, "potential": 0.9636528351702245, "ex": 0.17458122479957622, "ez": -0.9120685856792559 }, { "role": "image", "distance": 0.518859055617968, "potential": -0.9636528351702245, "ex": -0.6983248991983049, "ez": -1.7209686723765745 } ], "normalField": -2.6846215075467987, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -2.6846215075467987, "normalResidual": 0, "density": -0.21363539162844453, "expectedDensity": -0.21363539162844453, "capCharge": -0.027260373622331635 }, { "coordinate": 0.2454369260617026, "angle": 0.2454369260617026, "x": 0.24298017990326387, "z": 0.970031253194544, "normal": [ 0.24298017990326387, 0.970031253194544 ], "tangent": [ 0.970031253194544, -0.24298017990326387 ], "potential": 0, "ex": -0.6150887545344819, "ez": -2.4555719549820783, "terms": [ { "role": "real", "distance": 1.0582414597915846, "potential": 0.94496392174707, "ex": 0.2050295848448273, "ez": -0.8690999596952436 }, { "role": "image", "distance": 0.5291207298957923, "potential": -0.94496392174707, "ex": -0.8201183393793092, "ez": -1.5864719952868345 } ], "normalField": -2.5314359170339045, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -2.5314359170339045, "normalResidual": 0, "density": -0.20144526965815548, "expectedDensity": -0.20144526965815548, "capCharge": -0.041277058689697575 }, { "coordinate": 0.2945243112740431, "angle": 0.2945243112740431, "x": 0.29028467725446233, "z": 0.9569403357322088, "normal": [ 0.29028467725446233, 0.9569403357322088 ], "tangent": [ 0.9569403357322088, -0.29028467725446233 ], "potential": -1.1102230246251565e-16, "ex": -0.6861535398790636, "ez": -2.2619450844804136, "terms": [ { "role": "real", "distance": 1.0826997077080813, "potential": 0.9236171330616274, "ex": 0.2287178466263544, "ez": -0.8218358701207336 }, { "role": "image", "distance": 0.5413498538540406, "potential": -0.9236171330616275, "ex": -0.914871386505418, "ez": -1.4401092143596803 } ], "normalField": -2.363726347421307, "tangentialField": -2.220446049250313e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -2.363726347421308, "normalResidual": 8.881784197001252e-16, "density": -0.18809936615432588, "expectedDensity": -0.18809936615432596, "capCharge": -0.05728715020377943 }, { "coordinate": 0.3436116964863836, "angle": 0.3436116964863836, "x": 0.33688985339222005, "z": 0.9415440651830208, "normal": [ 0.33688985339222005, 0.9415440651830208 ], "tangent": [ 0.9415440651830208, -0.33688985339222005 ], "potential": 0, "ex": -0.7374447745817051, "ez": -2.0610200750073098, "terms": [ { "role": "real", "distance": 1.1107761877479716, "potential": 0.9002713697233974, "ex": 0.24581492486056836, "ez": -0.772312562890821 }, { "role": "image", "distance": 0.5553880938739858, "potential": -0.9002713697233974, "ex": -0.9832596994422734, "ez": -1.288707512116489 } ], "normalField": -2.188978881839886, "tangentialField": -1.1102230246251565e-16, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -2.1889788818398874, "normalResidual": 1.3322676295501878e-15, "density": -0.1741934046842939, "expectedDensity": -0.17419340468429398, "capCharge": -0.07479647270745192 }, { "coordinate": 0.39269908169872414, "angle": 0.39269908169872414, "x": 0.3826834323650898, "z": 0.9238795325112867, "normal": [ 0.3826834323650898, 0.9238795325112867 ], "tangent": [ 0.9238795325112867, -0.3826834323650898 ], "potential": -1.1102230246251565e-16, "ex": -0.7705553568913015, "ez": -1.8602851931662197, "terms": [ { "role": "real", "distance": 1.142139164005356, "potential": 0.8755500481159497, "ex": 0.2568517856304336, "ez": -0.7222770578796235 }, { "role": "image", "distance": 0.5710695820026779, "potential": -0.8755500481159498, "ex": -1.027407142521735, "ez": -1.138008135286596 } ], "normalField": -2.0135581834025458, "tangentialField": -3.3306690738754696e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -2.0135581834025458, "normalResidual": 0, "density": -0.16023386904582618, "expectedDensity": -0.16023386904582618, "capCharge": -0.09333746391303759 }, { "coordinate": 0.44178646691106466, "angle": 0.44178646691106466, "x": 0.4275550934302821, "z": 0.9039892931234433, "normal": [ 0.4275550934302821, 0.9039892931234433 ], "tangent": [ 0.9039892931234433, -0.4275550934302821 ], "potential": 2.220446049250313e-16, "ex": -0.787751149686705, "ez": -1.665559867967247, "terms": [ { "role": "real", "distance": 1.1764534956836272, "potential": 0.8500123495480019, "ex": 0.2625837165622352, "ez": -0.6731169134126503 }, { "role": "image", "distance": 0.5882267478418137, "potential": -0.8500123495480016, "ex": -1.0503348662489402, "ez": -0.9924429545545966 } ], "normalField": -1.8424553041025984, "tangentialField": 3.3306690738754696e-16, "expectedPotential": 0, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -1.8424553041025982, "normalResidual": -2.220446049250313e-16, "density": -0.1466179345369049, "expectedDensity": -0.14661793453690486, "capCharge": -0.11249073783899871 }, { "coordinate": 0.4908738521234052, "angle": 0.4908738521234052, "x": 0.47139673682599764, "z": 0.881921264348355, "normal": [ 0.47139673682599764, 0.881921264348355 ], "tangent": [ 0.881921264348355, -0.47139673682599764 ], "potential": -1.1102230246251565e-16, "ex": -0.7916017523028384, "ez": -1.4809827131005087, "terms": [ { "role": "real", "distance": 1.2133898559847038, "potential": 0.8241374320609173, "ex": 0.26386725076761264, "ez": -0.6258515154444685 }, { "role": "image", "distance": 0.6066949279923518, "potential": -0.8241374320609174, "ex": -1.055469003070451, "ez": -0.8551311976560402 } ], "normalField": -1.6792686297169575, "tangentialField": -2.220446049250313e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -1.6792686297169577, "normalResidual": 2.220446049250313e-16, "density": -0.13363195159930372, "expectedDensity": -0.13363195159930374, "capCharge": -0.13189692595431196 }, { "coordinate": 0.5399612373357456, "angle": 0.5399612373357456, "x": 0.5141027441932217, "z": 0.8577286100002721, "normal": [ 0.5141027441932217, 0.8577286100002721 ], "tangent": [ 0.8577286100002721, -0.5141027441932217 ], "potential": 0, "ex": -0.7846956376470456, "ez": -1.3091855784751747, "terms": [ { "role": "real", "distance": 1.252631454179126, "potential": 0.7983194072476167, "ex": 0.2615652125490152, "ez": -0.5811648785940817 }, { "role": "image", "distance": 0.626315727089563, "potential": -0.7983194072476167, "ex": -1.0462608501960609, "ez": -0.7280206998810931 } ], "normalField": -1.5263401071287097, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.5263401071287097, "normalResidual": 0, "density": -0.12146228644447361, "expectedDensity": -0.12146228644447361, "capCharge": -0.15126044456428744 }, { "coordinate": 0.5890486225480862, "angle": 0.5890486225480862, "x": 0.5555702330196022, "z": 0.8314696123025452, "normal": [ 0.5555702330196022, 0.8314696123025452 ], "tangent": [ 0.8314696123025452, -0.5555702330196022 ], "potential": -1.1102230246251565e-16, "ex": -0.7694488283589009, "ez": -1.1515615505981396, "terms": [ { "role": "real", "distance": 1.2938784915090826, "potential": 0.7728701006797595, "ex": 0.2564829427863002, "ez": -0.5394603503915316 }, { "role": "image", "distance": 0.6469392457545412, "potential": -0.7728701006797596, "ex": -1.0259317711452012, "ez": -0.6121012002066081 } ], "normalField": -1.3849713008863676, "tangentialField": -2.220446049250313e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -1.3849713008863678, "normalResidual": 2.220446049250313e-16, "density": -0.11021251428823904, "expectedDensity": -0.11021251428823906, "capCharge": -0.17034742449018037 }, { "coordinate": 0.6381360077604268, "angle": 0.6381360077604268, "x": 0.5956993044924334, "z": 0.8032075314806449, "normal": [ 0.5956993044924334, 0.8032075314806449 ], "tangent": [ 0.8032075314806449, -0.5956993044924334 ], "potential": 1.1102230246251565e-16, "ex": -0.7479965507801399, "ez": -1.0085565965534624, "terms": [ { "role": "real", "distance": 1.336850729916179, "potential": 0.7480266701598767, "ex": 0.24933218359338008, "ez": -0.5009219873746432 }, { "role": "image", "distance": 0.6684253649580896, "potential": -0.7480266701598766, "ex": -0.99732873437352, "ez": -0.5076346091788192 } ], "normalField": -1.2556612793386959, "tangentialField": 2.220446049250313e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -1.2556612793386954, "normalResidual": -4.440892098500626e-16, "density": -0.09992234972792333, "expectedDensity": -0.09992234972792328, "capCharge": -0.18897999738009244 }, { "coordinate": 0.6872233929727672, "angle": 0.6872233929727672, "x": 0.6343932841636455, "z": 0.773010453362737, "normal": [ 0.6343932841636455, 0.773010453362737 ], "tangent": [ 0.773010453362737, -0.6343932841636455 ], "potential": 0, "ex": -0.7221485645792363, "ez": -0.8799405719380959, "terms": [ { "role": "real", "distance": 1.381288596401582, "potential": 0.7239616707219018, "ex": 0.24071618819307877, "ez": -0.46557278267637986 }, { "role": "image", "distance": 0.690644298200791, "potential": -0.7239616707219018, "ex": -0.9628647527723151, "ez": -0.4143677892617161 } ], "normalField": -1.1383294599836178, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -1.1383294599836182, "normalResidual": 4.440892098500626e-16, "density": -0.09058538021176032, "expectedDensity": -0.09058538021176035, "capCharge": -0.20702874695857362 }, { "coordinate": 0.7363107781851077, "angle": 0.7363107781851077, "x": 0.6715589548470183, "z": 0.7409511253549592, "normal": [ 0.6715589548470183, 0.7409511253549592 ], "tangent": [ 0.7409511253549592, -0.6715589548470183 ], "potential": 1.1102230246251565e-16, "ex": -0.6933877898810752, "ez": -0.7650355333833756, "terms": [ { "role": "real", "distance": 1.4269532222817127, "potential": 0.7007938202774369, "ex": 0.23112926329369185, "ez": -0.4333246347876499 }, { "role": "image", "distance": 0.7134766111408565, "potential": -0.7007938202774368, "ex": -0.9245170531747671, "ez": -0.33171089859572567 } ], "normalField": -1.0325047188731624, "tangentialField": 2.220446049250313e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -1.0325047188731626, "normalResidual": 2.220446049250313e-16, "density": -0.08216411488718578, "expectedDensity": -0.0821641148871858, "capCharge": -0.22440463479192244 }, { "coordinate": 0.7853981633974483, "angle": 0.7853981633974483, "x": 0.7071067811865475, "z": 0.7071067811865476, "normal": [ 0.7071067811865475, 0.7071067811865476 ], "tangent": [ 0.7071067811865476, -0.7071067811865475 ], "potential": 0, "ex": -0.662894849072358, "ez": -0.6628948490723581, "terms": [ { "role": "real", "distance": 1.4736257582079006, "potential": 0.678598344545847, "ex": 0.22096494969078598, "ez": -0.40401830763281044 }, { "role": "image", "distance": 0.7368128791039503, "potential": -0.678598344545847, "ex": -0.8838597987631439, "ez": -0.2588765414395477 } ], "normalField": -0.9374748859853945, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.9374748859853946, "normalResidual": 1.1102230246251565e-16, "density": -0.07460188106454327, "expectedDensity": -0.07460188106454328, "capCharge": -0.2410512415906147 }, { "coordinate": 0.8344855486097889, "angle": 0.8344855486097889, "x": 0.7409511253549591, "z": 0.6715589548470183, "normal": [ 0.7409511253549591, 0.6715589548470183 ], "tangent": [ 0.6715589548470183, -0.7409511253549591 ], "potential": 1.1102230246251565e-16, "ex": -0.631585537236884, "ez": -0.5724357636680871, "terms": [ { "role": "real", "distance": 1.521106235807324, "potential": 0.6574162780085193, "ex": 0.21052851241229478, "ez": -0.3774536639370252 }, { "role": "image", "distance": 0.7605531179036621, "potential": -0.6574162780085192, "ex": -0.8421140496491788, "ez": -0.19498209973106193 } ], "normalField": -0.852398377739581, "tangentialField": 1.1102230246251565e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.8523983777395815, "normalResidual": 4.440892098500626e-16, "density": -0.06783170765038346, "expectedDensity": -0.0678317076503835, "capCharge": -0.2569377914936105 }, { "coordinate": 0.8835729338221293, "angle": 0.8835729338221293, "x": 0.7730104533627369, "z": 0.6343932841636455, "normal": [ 0.7730104533627369, 0.6343932841636455 ], "tangent": [ 0.6343932841636455, -0.7730104533627369 ], "potential": -1.1102230246251565e-16, "ex": -0.6001524882948408, "ez": -0.4925324184066215, "terms": [ { "role": "real", "distance": 1.5692121791986635, "potential": 0.637262451347186, "ex": 0.20005082943161348, "ez": -0.35341146422019865 }, { "role": "image", "distance": 0.7846060895993316, "potential": -0.6372624513471861, "ex": -0.8002033177264543, "ez": -0.13912095418642284 } ], "normalField": -0.776383405533609, "tangentialField": -1.6653345369377348e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.776383405533609, "normalResidual": 0, "density": -0.061782628362596716, "expectedDensity": -0.061782628362596716, "capCharge": -0.2720531614896105 }, { "coordinate": 0.9326603190344698, "angle": 0.9326603190344698, "x": 0.8032075314806448, "z": 0.5956993044924335, "normal": [ 0.8032075314806448, 0.5956993044924335 ], "tangent": [ 0.5956993044924335, -0.8032075314806448 ], "potential": 0, "ex": -0.5691057412845938, "ez": -0.4220775839102707, "terms": [ { "role": "real", "distance": 1.617777111356897, "potential": 0.6181321227627323, "ex": 0.18970191376153125, "ez": -0.3316683658871471 }, { "role": "image", "distance": 0.8088885556784485, "potential": -0.6181321227627323, "ex": -0.758807655046125, "ez": -0.0904092180231236 } ], "normalField": -0.7085413407858561, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.708541340785856, "normalResidual": -1.1102230246251565e-16, "density": -0.05638392838551407, "expectedDensity": -0.056383928385514065, "capCharge": -0.28640090792795075 }, { "coordinate": 0.9817477042468103, "angle": 0.9817477042468103, "x": 0.8314696123025452, "z": 0.5555702330196023, "normal": [ 0.8314696123025452, 0.5555702330196023 ], "tangent": [ 0.5555702330196023, -0.8314696123025452 ], "potential": -1.1102230246251565e-16, "ex": -0.5388093907295843, "ez": -0.3600209247958206, "terms": [ { "role": "real", "distance": 1.666649053616745, "potential": 0.6000063407649799, "ex": 0.17960313024319452, "ez": -0.31200672126515594 }, { "role": "image", "distance": 0.8333245268083723, "potential": -0.60000634076498, "ex": -0.7184125209727789, "ez": -0.04801420353066465 } ], "normalField": -0.6480205442956448, "tangentialField": -3.3306690738754696e-16, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.6480205442956446, "normalResidual": -2.220446049250313e-16, "density": -0.051567836424876196, "expectedDensity": -0.05156783642487618, "capCharge": -0.29999524442626496 }, { "coordinate": 1.030835089459151, "angle": 1.030835089459151, "x": 0.8577286100002721, "z": 0.5141027441932217, "normal": [ 0.8577286100002721, 0.5141027441932217 ], "tangent": [ 0.5141027441932217, -0.8577286100002721 ], "potential": 0, "ex": -0.5095131404532842, "ez": -0.3053904237955368, "terms": [ { "role": "real", "distance": 1.715689081164508, "potential": 0.5828561893750931, "ex": 0.16983771348442808, "ez": -0.29422056050914464 }, { "role": "image", "distance": 0.857844540582254, "potential": -0.5828561893750931, "ex": -0.6793508539377123, "ez": -0.011169863286392195 } ], "normalField": -0.5940260526614853, "tangentialField": 5.551115123125783e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.5940260526614854, "normalResidual": 1.1102230246251565e-16, "density": -0.04727109130322096, "expectedDensity": -0.04727109130322097, "capCharge": -0.3128578579686801 }, { "coordinate": 1.0799224746714913, "angle": 1.0799224746714913, "x": 0.8819212643483549, "z": 0.4713967368259978, "normal": [ 0.8819212643483549, 0.4713967368259978 ], "tangent": [ 0.4713967368259978, -0.8819212643483549 ], "potential": 1.1102230246251565e-16, "ex": -0.48137857014656205, "ez": -0.25730220635140705, "terms": [ { "role": "real", "distance": 1.7647699716099001, "potential": 0.5666460876415278, "ex": 0.16045952338218747, "ez": -0.2781188763268926 }, { "role": "image", "distance": 0.8823849858049503, "potential": -0.5666460876415277, "ex": -0.6418380935287495, "ez": 0.02081666997548555 } ], "normalField": -0.5458294176660421, "tangentialField": 1.942890293094024e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.5458294176660422, "normalResidual": 1.1102230246251565e-16, "density": -0.04343572495326065, "expectedDensity": -0.04343572495326066, "capCharge": -0.32501543426885426 }, { "coordinate": 1.1290098598838318, "angle": 1.1290098598838318, "x": 0.9039892931234433, "z": 0.4275550934302822, "normal": [ 0.9039892931234433, 0.4275550934302822 ], "tangent": [ 0.4275550934302822, -0.9039892931234433 ], "potential": 0, "ex": -0.4545004645096079, "ez": -0.2149627103392876, "terms": [ { "role": "real", "distance": 1.8137749657217324, "potential": 0.5513363117800464, "ex": 0.15150015483653598, "ez": -0.2635270667798761 }, { "role": "image", "distance": 0.9068874828608662, "potential": -0.5513363117800464, "ex": -0.6060006193461439, "ez": 0.04856435644058848 } ], "normalField": -0.5027719553394578, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.502771955339458, "normalResidual": 1.1102230246251565e-16, "density": -0.04000932097012618, "expectedDensity": -0.04000932097012619, "capCharge": -0.33649776616496513 }, { "coordinate": 1.1780972450961724, "angle": 1.1780972450961724, "x": 0.9238795325112867, "z": 0.38268343236508984, "normal": [ 0.9238795325112867, 0.38268343236508984 ], "tangent": [ 0.38268343236508984, -0.9238795325112867 ], "potential": 0, "ex": -0.42892380501172367, "ez": -0.1776660572605289, "terms": [ { "role": "real", "distance": 1.8625966473017288, "potential": 0.536884892093337, "ex": 0.14297460167057455, "ez": -0.2502871682894406 }, { "role": "image", "distance": 0.9312983236508644, "potential": -0.536884892093337, "ex": -0.5718984066822982, "ez": 0.0726211110289117 } ], "normalField": -0.46426378106442534, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.4642637810644253, "normalResidual": -5.551115123125783e-17, "density": -0.03694493782746839, "expectedDensity": -0.03694493782746838, "capCharge": -0.3473363309299972 }, { "coordinate": 1.227184630308513, "angle": 1.227184630308513, "x": 0.9415440651830208, "z": 0.33688985339222005, "normal": [ 0.9415440651830208, 0.33688985339222005 ], "tangent": [ 0.33688985339222005, -0.9415440651830208 ], "potential": 0, "ex": -0.40465710003260147, "ez": -0.1447886255622085, "terms": [ { "role": "real", "distance": 1.9111359413791371, "potential": 0.523249015597691, "ex": 0.13488570001086717, "ez": -0.23825733135151808 }, { "role": "image", "distance": 0.9555679706895686, "potential": -0.523249015597691, "ex": -0.5395428000434687, "ez": 0.09346870578930956 } ], "normalField": -0.42978030980838133, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.4297803098083815, "normalResidual": 1.6653345369377348e-16, "density": -0.03420083037478504, "expectedDensity": -0.03420083037478505, "capCharge": -0.3575632383017317 }, { "coordinate": 1.2762720155208536, "angle": 1.2762720155208536, "x": 0.9569403357322089, "z": 0.29028467725446233, "normal": [ 0.9569403357322089, 0.29028467725446233 ], "tangent": [ 0.29028467725446233, -0.9569403357322089 ], "potential": 0, "ex": -0.3816827084633321, "ez": -0.11578218380261988, "terms": [ { "role": "real", "distance": 1.9593012251775253, "potential": 0.5103860433249071, "ex": 0.12722756948777736, "ez": -0.2273108540904868 }, { "role": "image", "distance": 0.9796506125887626, "potential": -0.5103860433249071, "ex": -0.5089102779511094, "ez": 0.11152867028786691 } ], "normalField": -0.39885737303704016, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.3988573730370402, "normalResidual": 5.551115123125783e-17, "density": -0.031740061253746496, "expectedDensity": -0.0317400612537465, "capCharge": -0.36721046750631964 }, { "coordinate": 1.325359400733194, "angle": 1.325359400733194, "x": 0.970031253194544, "z": 0.24298017990326398, "normal": [ 0.970031253194544, 0.24298017990326398 ], "tangent": [ 0.24298017990326398, -0.970031253194544 ], "potential": 1.1102230246251565e-16, "ex": -0.3599647442300065, "ez": -0.09016647455821528, "terms": [ { "role": "real", "distance": 2.0070075436796304, "potential": 0.49825423085685494, "ex": 0.11998824807666893, "ez": -0.21733498725438505 }, { "role": "image", "distance": 1.0035037718398154, "potential": -0.49825423085685483, "ex": -0.47995299230667543, "ez": 0.12716851269616977 } ], "normalField": -0.371085718160685, "tangentialField": 1.5265566588595902e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.3710857181606852, "normalResidual": 2.220446049250313e-16, "density": -0.029530063178039464, "expectedDensity": -0.029530063178039485, "capCharge": -0.3763093268573589 }, { "coordinate": 1.3744467859455345, "angle": 1.3744467859455345, "x": 0.9807852804032304, "z": 0.19509032201612833, "normal": [ 0.9807852804032304, 0.19509032201612833 ], "tangent": [ 0.19509032201612833, -0.9807852804032304 ], "potential": 1.1102230246251565e-16, "ex": -0.33945506415590115, "ez": -0.06752181043026412, "terms": [ { "role": "real", "distance": 2.0541759203961782, "potential": 0.48681322279697214, "ex": 0.11315168805196714, "ez": -0.20822965120484166 }, { "role": "image", "distance": 1.0270879601980893, "potential": -0.48681322279697203, "ex": -0.4526067522078683, "ez": 0.14070784077457754 } ], "normalField": -0.34610538202239427, "tangentialField": 9.71445146547012e-17, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.3461053820223946, "normalResidual": 3.3306690738754696e-16, "density": -0.02754219118978643, "expectedDensity": -0.027542191189786455, "capCharge": -0.384890082902271 }, { "coordinate": 1.423534171157875, "angle": 1.423534171157875, "x": 0.989176509964781, "z": 0.14673047445536175, "normal": [ 0.989176509964781, 0.14673047445536175 ], "tangent": [ 0.14673047445536175, -0.989176509964781 ], "potential": 1.1102230246251565e-16, "ex": -0.3200977554847707, "ez": -0.047482016668642046, "terms": [ { "role": "real", "distance": 2.1007327536311116, "potential": 0.4760243768615986, "ex": 0.10669925182825697, "ez": -0.19990615407836784 }, { "role": "image", "distance": 1.050366376815556, "potential": -0.4760243768615985, "ex": -0.42679700731302767, "ez": 0.1524241374097258 } ], "normalField": -0.3236002394518726, "tangentialField": 1.1796119636642288e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.3236002394518727, "normalResidual": 1.1102230246251565e-16, "density": -0.025751288847243245, "expectedDensity": -0.025751288847243255, "capCharge": -0.3929817173538011 }, { "coordinate": 1.4726215563702154, "angle": 1.4726215563702154, "x": 0.9951847266721968, "z": 0.09801714032956077, "normal": [ 0.9951847266721968, 0.09801714032956077 ], "tangent": [ 0.09801714032956077, -0.9951847266721968 ], "potential": 0, "ex": -0.3018324604626663, "ez": -0.029727902609713863, "terms": [ { "role": "real", "distance": 2.1466092887812063, "potential": 0.4658509609672733, "ex": 0.1006108201542221, "ez": -0.1922859649088521 }, { "role": "image", "distance": 1.0733046443906031, "potential": -0.4658509609672733, "ex": -0.4024432806168884, "ez": 0.16255806229913825 } ], "normalField": -0.3032928986681351, "tangentialField": 6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.3032928986681351, "normalResidual": 0, "density": -0.02413528201385151, "expectedDensity": -0.02413528201385151, "capCharge": -0.40061177927454517 }, { "coordinate": 1.521708941582556, "angle": 1.521708941582556, "x": 0.9987954562051724, "z": 0.049067674327418126, "normal": [ 0.9987954562051724, 0.049067674327418126 ], "tangent": [ 0.049067674327418126, -0.9987954562051724 ], "potential": -1.1102230246251565e-16, "ex": -0.2845968070001247, "ez": -0.013981344582365135, "terms": [ { "role": "real", "distance": 2.191741157776239, "potential": 0.4562582567982659, "ex": 0.09486560233337483, "ez": -0.18529957163577937 }, { "role": "image", "distance": 1.0958705788881193, "potential": -0.45625825679826604, "ex": -0.3794624093334995, "ez": 0.17131822705341423 } ], "normalField": -0.28494002974485183, "tangentialField": -8.847089727481716e-17, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.28494002974485166, "normalResidual": -1.6653345369377348e-16, "density": -0.02267480710932243, "expectedDensity": -0.022674807109322417, "capCharge": -0.4078063074013004 }, { "coordinate": 1.5707963267948966, "angle": 1.5707963267948966, "x": 1, "z": 6.123233995736766e-17, "normal": [ 1, 6.123233995736766e-17 ], "tangent": [ 6.123233995736766e-17, -1 ], "potential": 0, "ex": -0.2683281572999747, "ez": -2.7755575615628914e-17, "terms": [ { "role": "real", "distance": 2.23606797749979, "potential": 0.4472135954999579, "ex": 0.08944271909999157, "ez": -0.17888543819998315 }, { "role": "image", "distance": 1.118033988749895, "potential": -0.4472135954999579, "ex": -0.3577708763999663, "ez": 0.17888543819998312 } ], "normalField": -0.2683281572999747, "tangentialField": 1.1325214667702835e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.2683281572999749, "normalResidual": 1.6653345369377348e-16, "density": -0.021352876302515308, "expectedDensity": -0.02135287630251532, "capCharge": -0.41458980337503154 }, { "coordinate": 1.6198837120072371, "angle": 1.6198837120072371, "x": 0.9987954562051724, "z": -0.04906767432741801, "normal": [ 0.9987954562051724, -0.04906767432741801 ], "tangent": [ -0.04906767432741801, -0.9987954562051724 ], "potential": 1.1102230246251565e-16, "ex": -0.252964839752061, "ez": 0.012427365679456737, "terms": [ { "role": "real", "distance": 2.279532999829059, "potential": 0.4386863449991684, "ex": 0.08432161325068709, "ez": -0.17298906486377608 }, { "role": "image", "distance": 1.1397664999145298, "potential": -0.4386863449991683, "ex": -0.3372864530027481, "ez": 0.1854164305432328 } ], "normalField": -0.25326991445593544, "tangentialField": 1.214306433183765e-16, "expectedPotential": 0, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.2532699144559355, "normalResidual": 5.551115123125783e-17, "density": -0.020154579411061805, "expectedDensity": -0.02015457941106181, "capCharge": -0.4209852412506237 }, { "coordinate": 1.6689710972195777, "angle": 1.6689710972195777, "x": 0.9951847266721969, "z": -0.09801714032956065, "normal": [ 0.9951847266721969, -0.09801714032956065 ], "tangent": [ -0.09801714032956065, -0.9951847266721969 ], "potential": 1.6653345369377348e-16, "ex": -0.23844699207639708, "ez": 0.023484978875898815, "terms": [ { "role": "real", "distance": 2.322082806731543, "potential": 0.43064786367698665, "ex": 0.07948233069213251, "ez": -0.16756214969561492 }, { "role": "image", "distance": 1.1610414033657719, "potential": -0.4306478636769865, "ex": -0.3179293227685296, "ez": 0.19104712857151374 } ], "normalField": -0.23960073510547247, "tangentialField": 1.6653345369377348e-16, "expectedPotential": 0, "potentialResidual": 1.6653345369377348e-16, "expectedNormal": -0.23960073510547278, "normalResidual": 3.0531133177191805e-16, "density": -0.01906682068024388, "expectedDensity": -0.019066820680243905, "capCharge": -0.4270141022422601 }, { "coordinate": 1.718058482431918, "angle": 1.718058482431918, "x": 0.989176509964781, "z": -0.14673047445536164, "normal": [ 0.989176509964781, -0.14673047445536164 ], "tangent": [ -0.14673047445536164, -0.989176509964781 ], "potential": 0, "ex": -0.2247171141812111, "ez": 0.03333363504883752, "terms": [ { "role": "real", "distance": 2.3636670446197465, "potential": 0.4230714314337256, "ex": 0.07490570472707037, "ez": -0.16256184556372275 }, { "role": "image", "distance": 1.1818335223098733, "potential": -0.4230714314337256, "ex": -0.29962281890828146, "ez": 0.19589548061256026 } ], "normalField": -0.22717595082116537, "tangentialField": -2.0816681711721685e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.22717595082116537, "normalResidual": 0, "density": -0.018078087762394893, "expectedDensity": -0.018078087762394893, "capCharge": -0.43269642642470585 }, { "coordinate": 1.7671458676442586, "angle": 1.7671458676442586, "x": 0.9807852804032304, "z": -0.1950903220161282, "normal": [ 0.9807852804032304, -0.1950903220161282 ], "tangent": [ -0.1950903220161282, -0.9807852804032304 ], "potential": 0, "ex": -0.21172040608519072, "ez": 0.042113807196987846, "terms": [ { "role": "real", "distance": 2.404238192872019, "potential": 0.4159321663572089, "ex": 0.07057346869506358, "ez": -0.157950105103486 }, { "role": "image", "distance": 1.2021190964360096, "potential": -0.4159321663572089, "ex": -0.2822938747802543, "ez": 0.20006391230047385 } ], "normalField": -0.2158682540567351, "tangentialField": -2.0816681711721685e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.21586825405673513, "normalResidual": 2.7755575615628914e-17, "density": -0.01717824984487324, "expectedDensity": -0.017178249844873244, "capCharge": -0.43805087523209324 }, { "coordinate": 1.8162332528565992, "angle": 1.8162332528565992, "x": 0.970031253194544, "z": -0.24298017990326387, "normal": [ 0.970031253194544, -0.24298017990326387 ], "tangent": [ -0.24298017990326387, -0.970031253194544 ], "potential": -5.551115123125783e-17, "ex": -0.19940494828164573, "ez": 0.049948339342173964, "terms": [ { "role": "real", "distance": 2.443751362068788, "potential": 0.40920693304634626, "ex": 0.06646831609388186, "ez": -0.1536931053501037 }, { "role": "image", "distance": 1.2218756810343938, "potential": -0.4092069330463463, "ex": -0.2658732643755276, "ez": 0.20364144469227766 } ], "normalField": -0.20556548835406874, "tangentialField": -4.85722573273506e-17, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.2055654883540687, "normalResidual": -2.7755575615628914e-17, "density": -0.016358381800324742, "expectedDensity": -0.01635838180032474, "capCharge": -0.4430948002152403 }, { "coordinate": 1.8653206380689396, "angle": 1.8653206380689396, "x": 0.9569403357322089, "z": -0.29028467725446216, "normal": [ 0.9569403357322089, -0.29028467725446216 ], "tangent": [ -0.29028467725446216, -0.9569403357322089 ], "potential": 0, "ex": -0.1877217680324703, "ez": 0.05694477577355664, "terms": [ { "role": "real", "distance": 2.4821641180667022, "potential": 0.40287424700139324, "ex": 0.0625739226774901, "ez": -0.14976074364584593 }, { "role": "image", "distance": 1.2410820590333511, "potential": -0.40287424700139324, "ex": -0.2502956907099604, "ez": 0.20670551941940257 } ], "normalField": -0.19616872758199058, "tangentialField": 6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1961687275819907, "normalResidual": 1.1102230246251565e-16, "density": -0.015610611337360615, "expectedDensity": -0.015610611337360624, "capCharge": -0.4478443147489551 }, { "coordinate": 1.9144080232812801, "angle": 1.9144080232812801, "x": 0.9415440651830208, "z": -0.33688985339221994, "normal": [ 0.9415440651830208, -0.33688985339221994 ], "tangent": [ -0.33688985339221994, -0.9415440651830208 ], "potential": 0, "ex": -0.17662482439517907, "ez": 0.06319737269476819, "terms": [ { "role": "real", "distance": 2.5194363285403503, "potential": 0.39691417825167097, "ex": 0.058874941465059685, "ez": -0.14612619676171473 }, { "role": "image", "distance": 1.2597181642701751, "potential": -0.39691417825167097, "ex": -0.23549976586023874, "ez": 0.20932356945648292 } ], "normalField": -0.18759060879518802, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.18759060879518802, "normalResidual": 0, "density": -0.014927986333686076, "expectedDensity": -0.014927986333686076, "capCharge": -0.4523143663112468 }, { "coordinate": 1.9634954084936207, "angle": 1.9634954084936207, "x": 0.9238795325112867, "z": -0.3826834323650897, "normal": [ 0.9238795325112867, -0.3826834323650897 ], "tangent": [ -0.3826834323650897, -0.9238795325112867 ], "potential": 0, "ex": -0.1660709365993753, "ez": 0.06878883425546364, "terms": [ { "role": "real", "distance": 2.5555300290664476, "potential": 0.391308256457979, "ex": 0.055356978866458434, "ez": -0.14276553573209888 }, { "role": "image", "distance": 1.2777650145332238, "potential": -0.391308256457979, "ex": -0.22142791546583374, "ez": 0.21155436998756252 } ], "normalField": -0.17975388647041649, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1797538864704165, "normalResidual": 2.7755575615628914e-17, "density": -0.014304359785873076, "expectedDensity": -0.014304359785873078, "capCharge": -0.4565188076565158 }, { "coordinate": 2.012582793705961, "angle": 2.012582793705961, "x": 0.9039892931234434, "z": -0.42755509343028186, "normal": [ 0.9039892931234434, -0.42755509343028186 ], "tangent": [ -0.42755509343028186, -0.9039892931234434 ], "potential": -5.551115123125783e-17, "ex": -0.15601967413719797, "ez": 0.07379181021293663, "terms": [ { "role": "real", "distance": 2.590409306214199, "potential": 0.3860393790282773, "ex": 0.05200655804573261, "ez": -0.1396573895687236 }, { "role": "image", "distance": 1.2952046531070993, "potential": -0.38603937902827734, "ex": -0.20802623218293056, "ez": 0.21344919978166021 } ], "normalField": -0.17259017924661735, "tangentialField": -6.938893903907228e-17, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.17259017924661715, "normalResidual": -1.942890293094024e-16, "density": -0.0137342900781077, "expectedDensity": -0.013734290078107685, "capCharge": -0.46047046572879197 }, { "coordinate": 2.061670178918302, "angle": 2.061670178918302, "x": 0.881921264348355, "z": -0.4713967368259977, "normal": [ 0.881921264348355, -0.4713967368259977 ], "tangent": [ -0.4713967368259977, -0.881921264348355 ], "potential": -5.551115123125783e-17, "ex": -0.14643322217290938, "ez": 0.07827018792457646, "terms": [ { "role": "real", "distance": 2.6240401954436585, "potential": 0.3810917232656664, "ex": 0.04881107405763643, "ez": -0.13678265172135126 }, { "role": "image", "distance": 1.312020097721829, "potential": -0.3810917232656665, "ex": -0.19524429623054582, "ez": 0.21505283964592772 } ], "normalField": -0.16603888361973876, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.16603888361973873, "normalResidual": -2.7755575615628914e-17, "density": -0.013212954536770677, "expectedDensity": -0.013212954536770675, "capCharge": -0.4641812075507501 }, { "coordinate": 2.110757564130642, "angle": 2.110757564130642, "x": 0.8577286100002721, "z": -0.5141027441932216, "normal": [ 0.8577286100002721, -0.5141027441932216 ], "tangent": [ -0.5141027441932216, -0.8577286100002721 ], "potential": 5.551115123125783e-17, "ex": -0.13727623226436128, "ez": 0.08228020716202034, "terms": [ { "role": "real", "distance": 2.6563905919071624, "potential": 0.3764506631843051, "ex": 0.045758744088120466, "ez": -0.13412422384131797 }, { "role": "image", "distance": 1.3281952959535814, "potential": -0.37645066318430503, "ex": -0.18303497635248175, "ez": 0.2164044310033383 } ], "normalField": -0.16004623218096653, "tangentialField": 5.551115123125783e-17, "expectedPotential": 0, "potentialResidual": 5.551115123125783e-17, "expectedNormal": -0.1600462321809666, "normalResidual": 8.326672684688674e-17, "density": -0.012736074487416999, "expectedDensity": -0.012736074487417004, "capCharge": -0.46766200261177115 }, { "coordinate": 2.1598449493429825, "angle": 2.1598449493429825, "x": 0.8314696123025453, "z": -0.555570233019602, "normal": [ 0.8314696123025453, -0.555570233019602 ], "tangent": [ -0.555570233019602, -0.8314696123025453 ], "potential": -5.551115123125783e-17, "ex": -0.128515665655533, "ez": 0.08587142242900606, "terms": [ { "role": "real", "distance": 2.6874301725027965, "potential": 0.3721026913487031, "ex": 0.04283855521851097, "ez": -0.13166679205368 }, { "role": "image", "distance": 1.343715086251398, "potential": -0.37210269134870316, "ex": -0.17135422087404395, "ez": 0.21753821448268607 } ], "normalField": -0.15456447686601713, "tangentialField": -4.163336342344337e-17, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.1545644768660171, "normalResidual": -2.7755575615628914e-17, "density": -0.012299850259819764, "expectedDensity": -0.012299850259819762, "capCharge": -0.4709229814884726 }, { "coordinate": 2.2089323345553233, "angle": 2.2089323345553233, "x": 0.8032075314806449, "z": -0.5956993044924334, "normal": [ 0.8032075314806449, -0.5956993044924334 ], "tangent": [ -0.5956993044924334, -0.8032075314806449 ], "potential": 0, "ex": -0.12012063433766226, "ez": 0.08908753407507061, "terms": [ { "role": "real", "distance": 2.717130327748327, "potential": 0.3680353458896082, "ex": 0.04004021144588742, "ez": -0.12939663154082917 }, { "role": "image", "distance": 1.3585651638741636, "potential": -0.3680353458896082, "ex": -0.1601608457835497, "ez": 0.21848416561589978 } ], "normalField": -0.14955118027370842, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.14955118027370837, "normalResidual": -5.551115123125783e-17, "density": -0.011900904792893923, "expectedDensity": -0.011900904792893918, "capCharge": -0.47397349058279387 }, { "coordinate": 2.2580197197676637, "angle": 2.2580197197676637, "x": 0.7730104533627371, "z": -0.6343932841636454, "normal": [ 0.7730104533627371, -0.6343932841636454 ], "tangent": [ -0.6343932841636454, -0.7730104533627371 ], "potential": 0, "ex": -0.11206224352728754, "ez": 0.09196710651552115, "terms": [ { "role": "real", "distance": 2.7454641022338246, "potential": 0.3642371427061669, "ex": 0.03735408117576251, "ez": -0.12730143577936254 }, { "role": "image", "distance": 1.3727320511169123, "potential": -0.3642371427061669, "ex": -0.14941632470305005, "ez": 0.21926854229488368 } ], "normalField": -0.14496860041128323, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.14496860041128323, "normalResidual": 0, "density": -0.011536234674284749, "expectedDensity": -0.011536234674284749, "capCharge": -0.47682214297037484 }, { "coordinate": 2.3071071049800045, "angle": 2.3071071049800045, "x": 0.740951125354959, "z": -0.6715589548470184, "normal": [ 0.740951125354959, -0.6715589548470184 ], "tangent": [ -0.6715589548470184, -0.740951125354959 ], "potential": 0, "ex": -0.10431343805045012, "ez": 0.09454418926767968, "terms": [ { "role": "real", "distance": 2.772406142575087, "potential": 0.3606975127645521, "ex": 0.03477114601681671, "ez": -0.1253701672522849 }, { "role": "image", "distance": 1.3862030712875435, "potential": -0.3606975127645521, "ex": -0.13908458406726684, "ez": 0.21991435651996458 } ], "normalField": -0.14078315624458748, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1407831562445875, "normalResidual": 2.7755575615628914e-17, "density": -0.011203167610202366, "expectedDensity": -0.011203167610202368, "capCharge": -0.479476865426586 }, { "coordinate": 2.356194490192345, "angle": 2.356194490192345, "x": 0.7071067811865476, "z": -0.7071067811865475, "normal": [ 0.7071067811865476, -0.7071067811865475 ], "tangent": [ -0.7071067811865475, -0.7071067811865476 ], "potential": 5.551115123125783e-17, "ex": -0.09684885425962453, "ez": 0.09684885425962447, "terms": [ { "role": "real", "distance": 2.797932651931813, "potential": 0.3574067443365933, "ex": 0.03228295141987487, "ez": -0.12359292688271245 }, { "role": "image", "distance": 1.3989663259659066, "potential": -0.35740674433659325, "ex": -0.1291318056794994, "ez": 0.22044178114233692 } ], "normalField": -0.13696496319425627, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0, "potentialResidual": 5.551115123125783e-17, "expectedNormal": -0.13696496319425636, "normalResidual": 8.326672684688674e-17, "density": -0.010899325461382699, "expectedDensity": -0.010899325461382706, "capCharge": -0.48194494174755503 }, { "coordinate": 2.405281875404685, "angle": 2.405281875404685, "x": 0.6715589548470186, "z": -0.7409511253549589, "normal": [ 0.6715589548470186, -0.7409511253549589 ], "tangent": [ -0.7409511253549589, -0.6715589548470186 ], "potential": 0, "ex": -0.08964467847192151, "ez": 0.09890766092306032, "terms": [ { "role": "real", "distance": 2.8220213502771085, "potential": 0.35435592997969523, "ex": 0.029881559490640502, "ez": -0.12196083980726603 }, { "role": "image", "distance": 1.4110106751385543, "potential": -0.35435592997969523, "ex": -0.11952623796256201, "ez": 0.22086850073032635 } ], "normalField": -0.13348742924936888, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.13348742924936888, "normalResidual": 0, "density": -0.010622592102833355, "expectedDensity": -0.010622592102833355, "capCharge": -0.48423305251522863 }, { "coordinate": 2.454369260617026, "angle": 2.454369260617026, "x": 0.6343932841636455, "z": -0.773010453362737, "normal": [ 0.6343932841636455, -0.773010453362737 ], "tangent": [ -0.773010453362737, -0.6343932841636455 ], "potential": 0, "ex": -0.08267851244897598, "ez": 0.1007440589094466, "terms": [ { "role": "real", "distance": 2.8446514397111904, "potential": 0.35153691803503606, "ex": 0.02755950414965866, "ez": -0.1204659554321251 }, { "role": "image", "distance": 1.4223257198555952, "potential": -0.35153691803503606, "ex": -0.11023801659863464, "ez": 0.2212100143415717 } ], "normalField": -0.13032690369346434, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1303269036934643, "normalResidual": -2.7755575615628914e-17, "density": -0.010371085470338121, "expectedDensity": -0.010371085470338118, "capCharge": -0.486347311473723 }, { "coordinate": 2.5034566458293663, "angle": 2.5034566458293663, "x": 0.5956993044924335, "z": -0.8032075314806448, "normal": [ 0.5956993044924335, -0.8032075314806448 ], "tangent": [ -0.8032075314806448, -0.5956993044924335 ], "potential": -5.551115123125783e-17, "ex": -0.07592924609886188, "ez": 0.1023787368330357, "terms": [ { "role": "real", "distance": 2.8658035742043766, "potential": 0.3489422684098741, "ex": 0.025309748699620615, "ez": -0.1191011599973425 }, { "role": "image", "distance": 1.432901787102188, "potential": -0.34894226840987413, "ex": -0.1012389947984825, "ez": 0.2214798968303782 } ], "normalField": -0.12746237157949603, "tangentialField": -6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.12746237157949591, "normalResidual": -1.1102230246251565e-16, "density": -0.010143133247546354, "expectedDensity": -0.010143133247546345, "capCharge": -0.4882932986925944 }, { "coordinate": 2.552544031041707, "angle": 2.552544031041707, "x": 0.5555702330196022, "z": -0.8314696123025453, "normal": [ 0.5555702330196022, -0.8314696123025453 ], "tangent": [ -0.8314696123025453, -0.5555702330196022 ], "potential": 5.551115123125783e-17, "ex": -0.06937693733650066, "ez": 0.10382992421388942, "terms": [ { "role": "real", "distance": 2.8854598332345884, "potential": 0.3465652124081049, "ex": 0.023125645778833564, "ez": -0.11786010012046408 }, { "role": "image", "distance": 1.4427299166172944, "potential": -0.34656521240810484, "ex": -0.09250258311533423, "ez": 0.2216900243343535 } ], "normalField": -0.12487518807375132, "tangentialField": 6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": 5.551115123125783e-17, "expectedNormal": -0.12487518807375128, "normalResidual": -4.163336342344337e-17, "density": -0.00993725172573381, "expectedDensity": -0.009937251725733806, "capCharge": -0.49007609069392133 }, { "coordinate": 2.6016314162540475, "angle": 2.6016314162540475, "x": 0.5141027441932218, "z": -0.857728610000272, "normal": [ 0.5141027441932218, -0.857728610000272 ], "tangent": [ -0.857728610000272, -0.5141027441932218 ], "potential": 0, "ex": -0.06300269886707824, "ez": 0.10511365273945021, "terms": [ { "role": "real", "distance": 2.903603698854423, "potential": 0.34439961637827377, "ex": 0.021000899622359414, "ez": -0.11673711600341945 }, { "role": "image", "distance": 1.4518018494272116, "potential": -0.34439961637827377, "ex": -0.08400359848943766, "ez": 0.22185076874286966 } ], "normalField": -0.12254884763540402, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.12254884763540405, "normalResidual": 2.7755575615628914e-17, "density": -0.00975212743569504, "expectedDensity": -0.009752127435695042, "capCharge": -0.49170028771629465 }, { "coordinate": 2.650718801466388, "angle": 2.650718801466388, "x": 0.47139673682599786, "z": -0.8819212643483549, "normal": [ 0.47139673682599786, -0.8819212643483549 ], "tangent": [ -0.8819212643483549, -0.47139673682599786 ], "potential": 0, "ex": -0.05678859153846796, "ez": 0.10624398205932985, "terms": [ { "role": "real", "distance": 2.9202200357838484, "potential": 0.34243994895801716, "ex": 0.018929530512822652, "ez": -0.11572718317134088 }, { "role": "image", "distance": 1.4601100178919242, "potential": -0.34243994895801716, "ex": -0.07571812205129061, "ez": 0.22197116523067073 } ], "normalField": -0.1204687837273464, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.12046878372734637, "normalResidual": -2.7755575615628914e-17, "density": -0.009586601209237832, "expectedDensity": -0.00958660120923783, "capCharge": -0.4931700382814871 }, { "coordinate": 2.6998061866787286, "angle": 2.6998061866787286, "x": 0.42755509343028203, "z": -0.9039892931234433, "normal": [ 0.42755509343028203, -0.9039892931234433 ], "tangent": [ -0.9039892931234433, -0.42755509343028203 ], "potential": 5.551115123125783e-17, "ex": -0.05071752382956188, "ez": 0.10723319455234864, "terms": [ { "role": "real", "distance": 2.935295074178024, "potential": 0.34068125170687713, "ex": 0.01690584127652064, "ez": -0.11482586177228113 }, { "role": "image", "distance": 1.4676475370890123, "potential": -0.3406812517068771, "ex": -0.06762336510608252, "ez": 0.22205905632462977 } ], "normalField": -0.1186221953822472, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 5.551115123125783e-17, "expectedNormal": -0.11862219538224726, "normalResidual": 5.551115123125783e-17, "density": -0.009439654377748623, "expectedDensity": -0.009439654377748626, "capCharge": -0.49448906121984215 }, { "coordinate": 2.748893571891069, "angle": 2.748893571891069, "x": 0.3826834323650899, "z": -0.9238795325112867, "normal": [ 0.3826834323650899, -0.9238795325112867 ], "tangent": [ -0.9238795325112867, -0.3826834323650899 ], "potential": -5.551115123125783e-17, "ex": -0.04477315699106156, "ez": 0.10809196283808058, "terms": [ { "role": "real", "distance": 2.9488163947667463, "potential": 0.3391191129344968, "ex": 0.014924385663687176, "ez": -0.11402925260618256 }, { "role": "image", "distance": 1.474408197383373, "potential": -0.33911911293449687, "ex": -0.05969754265474874, "ez": 0.22212121544426314 } ], "normalField": -0.11699789749023372, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0, "potentialResidual": -5.551115123125783e-17, "expectedNormal": -0.11699789749023366, "normalResidual": -5.551115123125783e-17, "density": -0.009310396858464777, "expectedDensity": -0.009310396858464772, "capCharge": -0.4956606652991272 }, { "coordinate": 2.7979809571034093, "angle": 2.7979809571034093, "x": 0.33688985339222033, "z": -0.9415440651830207, "normal": [ 0.33688985339222033, -0.9415440651830207 ], "tangent": [ -0.9415440651830207, -0.33688985339222033 ], "potential": 0, "ex": -0.038939815325615836, "ez": 0.10882949323045145, "terms": [ { "role": "real", "distance": 2.9607729161035103, "potential": 0.3377496445475589, "ex": 0.012979938441871945, "ez": -0.11333395917293325 }, { "role": "image", "distance": 1.4803864580517552, "potential": -0.3377496445475589, "ex": -0.05191975376748778, "ez": 0.2221634524033847 } ], "normalField": -0.11558619214417415, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.11558619214417419, "normalResidual": 4.163336342344337e-17, "density": -0.009198056916457458, "expectedDensity": -0.009198056916457462, "capCharge": -0.49668776658933095 }, { "coordinate": 2.84706834231575, "angle": 2.84706834231575, "x": 0.2902846772544624, "z": -0.9569403357322088, "normal": [ 0.2902846772544624, -0.9569403357322088 ], "tangent": [ -0.9569403357322088, -0.2902846772544624 ], "potential": 5.551115123125783e-17, "ex": -0.03320240107910658, "ez": 0.10945364783379131, "terms": [ { "role": "real", "distance": 2.9711548836990698, "potential": 0.3365694617558968, "ex": 0.011067467026368868, "ez": -0.11273705513560046 }, { "role": "image", "distance": 1.485577441849535, "potential": -0.33656946175589675, "ex": -0.04426986810547545, "ez": 0.22219070296939178 } ], "normalField": -0.11437875878650489, "tangentialField": 6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": 5.551115123125783e-17, "expectedNormal": -0.11437875878650493, "normalResidual": 4.163336342344337e-17, "density": -0.009101972422793904, "expectedDensity": -0.009101972422793907, "capCharge": -0.49757290368307744 }, { "coordinate": 2.8961557275280905, "angle": 2.8961557275280905, "x": 0.24298017990326407, "z": -0.970031253194544, "normal": [ 0.24298017990326407, -0.970031253194544 ], "tangent": [ -0.970031253194544, -0.24298017990326407 ], "potential": 0, "ex": -0.027546313409760277, "ez": 0.10997104754962973, "terms": [ { "role": "real", "distance": 2.9799538608472074, "potential": 0.3355756654956053, "ex": 0.009182104469920092, "ez": -0.11223605668831614 }, { "role": "image", "distance": 1.4899769304236037, "potential": -0.3355756654956053, "ex": -0.03672841787968037, "ez": 0.22220710423794587 } ], "normalField": -0.11336856125765937, "tangentialField": -6.938893903907228e-18, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.11336856125765936, "normalResidual": -1.3877787807814457e-17, "density": -0.009021583457686414, "expectedDensity": -0.009021583457686413, "capCharge": -0.4983182508782959 }, { "coordinate": 2.945243112740431, "angle": 2.945243112740431, "x": 0.1950903220161286, "z": -0.9807852804032304, "normal": [ 0.1950903220161286, -0.9807852804032304 ], "tangent": [ -0.9807852804032304, -0.1950903220161286 ], "potential": 0, "ex": -0.021957370903147314, "ez": 0.1103871578846473, "terms": [ { "role": "real", "distance": 2.9871627209800473, "potential": 0.3347658274444164, "ex": 0.007319123634382438, "ez": -0.11182889940083714 }, { "role": "image", "distance": 1.4935813604900237, "potential": -0.3347658274444164, "ex": -0.029276494537529753, "ez": 0.22221605728548444 } ], "normalField": -0.11254977015893204, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.112549770158932, "normalResidual": -4.163336342344337e-17, "density": -0.008956426132325364, "expectedDensity": -0.00895642613232536, "capCharge": -0.49892562941668755 }, { "coordinate": 2.9943304979527716, "angle": 2.9943304979527716, "x": 0.1467304744553618, "z": -0.989176509964781, "normal": [ 0.1467304744553618, -0.989176509964781 ], "tangent": [ -0.989176509964781, -0.1467304744553618 ], "potential": 0, "ex": -0.01642173710641945, "ez": 0.11070635911716395, "terms": [ { "role": "real", "distance": 2.992775641417032, "potential": 0.3341379775219354, "ex": 0.005473912368806483, "ez": -0.11151391918534134 }, { "role": "image", "distance": 1.496387820708516, "potential": -0.3341379775219354, "ex": -0.02189564947522593, "ez": 0.2222202783025053 } ], "normalField": -0.1119176992194301, "tangentialField": -3.469446951953614e-18, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1119176992194301, "normalResidual": 0, "density": -0.008906127525122128, "expectedDensity": -0.008906127525122128, "capCharge": -0.49939651685854836 }, { "coordinate": 3.043417883165112, "angle": 3.043417883165112, "x": 0.09801714032956083, "z": -0.9951847266721968, "normal": [ 0.09801714032956083, -0.9951847266721968 ], "tangent": [ -0.9951847266721968, -0.09801714032956083 ], "potential": -1.1102230246251565e-16, "ex": -0.010925848562393441, "ez": 0.11093200208319172, "terms": [ { "role": "real", "distance": 2.996788098396146, "potential": 0.33369059378445576, "ex": 0.0036419495207978096, "ez": -0.11128983709714398 }, { "role": "image", "distance": 1.4983940491980725, "potential": -0.33369059378445587, "ex": -0.01456779808319125, "ez": 0.2222218391803357 } ], "normalField": -0.11146875460412037, "tangentialField": -5.204170427930421e-18, "expectedPotential": 0, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.1114687546041202, "normalResidual": -1.6653345369377348e-16, "density": -0.008870401647771612, "expectedDensity": -0.008870401647771598, "capCharge": -0.49973205466165815 }, { "coordinate": 3.0925052683774528, "angle": 3.0925052683774528, "x": 0.049067674327417966, "z": -0.9987954562051724, "normal": [ 0.049067674327417966, -0.9987954562051724 ], "tangent": [ -0.9987954562051724, -0.049067674327417966 ], "potential": 0, "ex": -0.005456344831885659, "ez": 0.11106645057621481, "terms": [ { "role": "real", "distance": 2.999196863298688, "potential": 0.33342259464093427, "ex": 0.001818781610628553, "ez": -0.11115574774113077 }, { "role": "image", "distance": 1.499598431649344, "potential": -0.33342259464093427, "ex": -0.007275126442514212, "ez": 0.22222219831734558 } ], "normalField": -0.11120039632358876, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.11120039632358873, "normalResidual": -2.7755575615628914e-17, "density": -0.008849046374338488, "expectedDensity": -0.008849046374338487, "capCharge": -0.49993305401929927 }, { "coordinate": 3.141592653589793, "angle": 3.141592653589793, "x": 1.2246467991473532e-16, "z": -1, "normal": [ 1.2246467991473532e-16, -1 ], "tangent": [ -1, -1.2246467991473532e-16 ], "potential": 0, "ex": -1.3607186657192814e-17, "ez": 0.1111111111111111, "terms": [ { "role": "real", "distance": 3, "potential": 0.3333333333333333, "ex": 4.535728885730938e-18, "ez": -0.1111111111111111 }, { "role": "image", "distance": 1.5, "potential": -0.3333333333333333, "ex": -1.8142915542923752e-17, "ez": 0.2222222222222222 } ], "normalField": -0.1111111111111111, "tangentialField": 1.5407439555097887e-33, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": -0.1111111111111111, "normalResidual": 0, "density": -0.008841941282883074, "expectedDensity": -0.008841941282883074, "capCharge": -0.5 } ], "quadrature": [ { "index": 0, "value": -0.0018003126318587546, "estimatedError": 8.640396494712215e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0, "b": 0.01227184630308513, "fa": 0, "fm": -0.009202787514919313, "fb": -0.018398994340085767, "fl": -0.004601805202007993, "fr": -0.013802124453538706, "whole": -0.00011292173440750464, "left": -0.000028235481547179946, "right": -0.00008468625203461881, "delta": 8.257058909224083e-13, "corrected": -0.0001129217335267517, "estimatedError": 5.504705939482722e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.01227184630308513, "b": 0.02454369260617026, "fa": -0.018398994340085767, "fm": -0.027582052698181977, "fb": -0.03674542058719456, "fl": -0.02299257670693294, "fr": -0.03216660546969446, "whole": -0.000338442438367312, "left": -0.00014107648432883787, "right": -0.00019736595157401893, "delta": 2.464455234937185e-12, "corrected": -0.00033844243573855976, "estimatedError": 1.64297015662479e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.02454369260617026, "b": 0.03681553890925539, "fa": -0.03674542058719456, "fm": -0.04588259454446264, "fb": -0.05498712226327981, "fl": -0.041317686422065195, "fr": -0.05043934011337796, "whole": -0.0005629973766329771, "left": -0.00025351462429227455, "right": -0.0003094827482751651, "delta": 4.0655374032583236e-12, "corrected": -0.0005629973722964039, "estimatedError": 2.7103582688388823e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.03681553890925539, "b": 0.04908738521234052, "fa": -0.05498712226327981, "fm": -0.06405261501435092, "fb": -0.07307275982563623, "fl": -0.05952514448697779, "fr": -0.06856874718659349, "whole": -0.0007859510962755951, "left": -0.000365230921423602, "right": -0.00042072016924709694, "delta": 5.6048962129504054e-12, "corrected": -0.0007859510902970392, "estimatedError": 3.7365974753002703e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0018003126318587546, "estimatedCumulativeError": 8.640396494712215e-13, "exactCap": -0.0018003126318590671, "actualError": 3.124670661103224e-16 }, { "index": 1, "value": -0.00531990352338507, "estimatedError": 2.389160238281766e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.04908738521234052, "b": 0.06135923151542565, "fa": -0.07307275982563623, "fm": -0.08204133137562317, "fb": -0.09095220355685278, "fl": -0.07756387759840973, "fr": -0.08650435858474154, "whole": -0.0010066805961779274, "left": -0.00047591201874171266, "right": -0.000530768570376198, "delta": 7.060016633808619e-12, "corrected": -0.001006680588647243, "estimatedError": 4.706677755872413e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.06135923151542565, "b": 0.07363107781851078, "fa": -0.09095220355685278, "fm": -0.09979936066856336, "fb": -0.10857690819958771, "fl": -0.09538411786712468, "fr": -0.10419719901879297, "whole": -0.0012245800422582013, "left": -0.0005852525679275176, "right": -0.0006393274659202251, "delta": 8.410458744376181e-12, "corrected": -0.0012245800332870453, "estimatedError": 5.606972496250787e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.07363107781851078, "b": 0.0859029241215959, "fa": -0.10857690819958771, "fm": -0.1172790831651282, "fb": -0.12590026396371748, "fl": -0.11293777202889857, "fr": -0.12160014340341674, "whole": -0.0014390652251744802, "left": -0.0006929574944387304, "right": -0.000746107721097428, "delta": 9.63832182468427e-12, "corrected": -0.0014390652148936036, "estimatedError": 6.425547883122847e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.0859029241215959, "b": 0.09817477042468103, "fa": -0.12590026396371748, "fm": -0.1344349797235189, "fb": -0.14287791911011816, "fl": -0.13017876577044793, "fr": -0.13866824696055277, "whole": -0.0016495776980010243, "left": -0.0007987441099705827, "right": -0.0008508335773018352, "delta": 1.0728606371357419e-11, "corrected": -0.0016495776865571776, "estimatedError": 7.152404247571612e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.007120216155243824, "estimatedCumulativeError": 3.2531998877529875e-12, "exactCap": -0.007120216155244956, "actualError": 1.1319070680748666e-15 }, { "index": 2, "value": -0.008606178937479654, "estimatedError": 9.406374695356916e-13, "evaluations": 29, "converged": true, "leaves": [ { "a": 0.09817477042468103, "b": 0.11044661672776616, "fa": -0.14287791911011816, "fm": -0.1512239385710704, "fb": -0.1594680699956685, "fl": -0.1470633585358157, "fr": -0.15535904374448994, "whole": -0.0018555885391043194, "left": -0.0009023440438319588, "right": -0.0009532444836028712, "delta": 1.1669489376545106e-11, "corrected": -0.001855588526656864, "estimatedError": 7.779659584363404e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.11044661672776616, "b": 0.11658253987930872, "fa": -0.1594680699956685, "fm": -0.16355042488132462, "fb": -0.1676055277716749, "fl": -0.16151261792766144, "fr": -0.16558141864864165, "whole": -0.001003504969115788, "left": -0.000495511058960544, "right": -0.0005079939097717084, "delta": 3.835354343145747e-13, "corrected": -0.0010035049687066836, "estimatedError": 2.556902895430498e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.11658253987930872, "b": 0.1227184630308513, "fa": -0.1676055277716749, "fm": -0.17163281003696157, "fb": -0.17563171522406051, "fl": -0.1696226815481628, "fr": -0.1736358440633303, "whole": -0.0010530967127415968, "left": -0.0005203922771502711, "right": -0.0005327044351968203, "delta": 3.9450539189578304e-13, "corrected": -0.001053096712320791, "estimatedError": 2.630035945971887e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1227184630308513, "b": 0.12885438618239387, "fa": -0.17563171522406051, "fm": -0.17960169922311212, "fb": -0.18354223042412818, "fl": -0.17762035589244884, "fr": -0.1815756791566465, "whole": -0.001101992104301922, "left": -0.0005449286956275655, "right": -0.0005570634082701626, "delta": 4.041938225091135e-13, "corrected": -0.0011019921038707818, "estimatedError": 2.6946254833940902e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.12885438618239387, "b": 0.1349903093339364, "fa": -0.18354223042412818, "fm": -0.18745278986354497, "fb": -0.19133287136069707, "fl": -0.18550128855145762, "fr": -0.18939667148833864, "whole": -0.0011501647447597063, "left": -0.0005691069615287983, "right": -0.000581057782818313, "delta": 4.125950883032692e-13, "corrected": -0.0011501647443196048, "estimatedError": 2.7506339220217947e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1349903093339364, "b": 0.14112623248547898, "fa": -0.19133287136069707, "fm": -0.19518198164420963, "fb": -0.19899964046830865, "fl": -0.19326132822610093, "fr": -0.19709477199226036, "whole": -0.0011975894759783357, "left": -0.0005929143389674542, "right": -0.0006046751365911749, "delta": 4.197065871930361e-13, "corrected": -0.0011975894755306487, "estimatedError": 2.7980439146202407e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.14112623248547898, "b": 0.14726215563702155, "fa": -0.19899964046830865, "fm": -0.20278538071906793, "fb": -0.20653874851062132, "fl": -0.20089652909431407, "fr": -0.2046661390209654, "whole": -0.0012442424065281846, "left": -0.000616338722432006, "right": -0.0006279036836706423, "delta": 4.2553634227449066e-13, "corrected": -0.0012442424060742792, "estimatedError": 2.8369089484966043e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.01572639509272348, "estimatedCumulativeError": 4.193837357288679e-12, "exactCap": -0.01572639509272487, "actualError": 1.3912482277333993e-15 }, { "index": 3, "value": -0.01153397852960675, "estimatedError": 2.3110330200452427e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.14726215563702155, "b": 0.15339807878856412, "fa": -0.20653874851062132, "fm": -0.2102593032713783, "fb": -0.21394661782029584, "fl": -0.20840315453333155, "fr": -0.21210714174618148, "whole": -0.0012901009335391626, "left": -0.0006393686482057723, "right": -0.0006507322849032955, "delta": 4.300947618884887e-13, "corrected": -0.0012901009330803948, "estimatedError": 2.8672984125899245e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.15339807878856412, "b": 0.1595340019401067, "fa": -0.21394661782029584, "fm": -0.21760027843326699, "fb": -0.22121988489970149, "fl": -0.21577768019925608, "fr": -0.21941436291874428, "whole": -0.001335143760616436, "left": -0.0006619933038151392, "right": -0.0006731504563678971, "delta": 4.3339962695065903e-13, "corrected": -0.001335143760154143, "estimatedError": 2.889330846337727e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1595340019401067, "b": 0.16566992509164924, "fa": -0.22121988489970149, "fm": -0.22480505056937997, "fb": -0.2283554023896777, "fl": -0.22301679646898873, "fr": -0.2265846009945126, "whole": -0.001379350911854949, "left": -0.0006842025355214736, "right": -0.0006951483758980021, "delta": 4.354734888661893e-13, "corrected": -0.0013793509113904441, "estimatedError": 2.903156592441262e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.16566992509164924, "b": 0.1718058482431918, "fa": -0.2283554023896777, "fm": -0.23187058093325857, "fb": -0.235350240416357, "fl": -0.23011741025246474, "fr": -0.23361487163559272, "whole": -0.0014227037420057509, "left": -0.0007059868538814238, "right": -0.0007167168876879832, "delta": 4.3634388637026067e-13, "corrected": -0.0014227037415403174, "estimatedError": 2.908959242468405e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1718058482431918, "b": 0.17794177139473438, "fa": -0.235350240416357, "fm": -0.23879404870776513, "fb": -0.24220168732866246, "fl": -0.23707664618586233, "fr": -0.2405024085988478, "whole": -0.0014651849428634486, "left": -0.0007273374374080028, "right": -0.0007378475050194019, "delta": 4.360437792089167e-13, "corrected": -0.0014651849423983352, "estimatedError": 2.906958528059444e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.17794177139473438, "b": 0.18407769454627693, "fa": -0.24220168732866246, "fm": -0.24557285144342253, "fb": -0.24890724984154813, "fl": -0.243891847219033, "fr": -0.24724466402616266, "whole": -0.0015067785459600338, "left": -0.0007482461343732991, "right": -0.0007585324111521259, "delta": 4.3460872921341487e-13, "corrected": -0.001506778545496451, "estimatedError": 2.8973915280894326e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.18407769454627693, "b": 0.1902136176978195, "fa": -0.24890724984154813, "fm": -0.2522046049108892, "fb": -0.25546465260230766, "fl": -0.2505605746127993, "fr": -0.2538393081532437, "whole": -0.0015474699216643858, "left": -0.0007687054628008181, "right": -0.0007787644584314868, "delta": 4.3208080342804767e-13, "corrected": -0.0015474699212034997, "estimatedError": 2.8805386895203176e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1902136176978195, "b": 0.19634954084936207, "fa": -0.25546465260230766, "fm": -0.25868714238595847, "fb": -0.2618718371993643, "fl": -0.2570806073639865, "fr": -0.26028422845586313, "whole": -0.001587245774800236, "left": -0.0007887086087020799, "right": -0.0007985371656696517, "delta": 4.28504454141887e-13, "corrected": -0.0015872457743431646, "estimatedError": 2.856696360945913e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.027260373622330226, "estimatedCumulativeError": 4.424940659293204e-12, "exactCap": -0.027260373622331635, "actualError": 1.4085954624931674e-15 }, { "index": 4, "value": -0.014016685067365926, "estimatedError": 2.1267708369872759e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.19634954084936207, "b": 0.20248546400090464, "fa": -0.2618718371993643, "fm": -0.26501851338746607, "fb": -0.26812696063483865, "fl": -0.263449941078093, "fr": -0.2665775282543891, "whole": -0.0016260941369078015, "left": -0.0008082494226187049, "right": -0.0008178447138651703, "delta": 4.239263020483497e-13, "corrected": -0.0016260941364556135, "estimatedError": 2.8261753469889978e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.20248546400090464, "b": 0.2086213871524472, "fa": -0.26812696063483865, "fm": -0.27119698189026553, "fb": -0.2742283932838723, "fl": -0.2696667863113292, "fr": -0.27271752479918265, "whole": -0.0016640043552847818, "left": -0.0008273224145366767, "right": -0.0008366819403297083, "delta": 4.183966541282391e-13, "corrected": -0.001664004354838492, "estimatedError": 2.789311027521594e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.2086213871524472, "b": 0.21475731030398976, "fa": -0.2742283932838723, "fm": -0.277221024037021, "fb": -0.28017471636517505, "fl": -0.2757295664054013, "fr": -0.27870274686097074, "whole": -0.001700967078952521, "left": -0.0008459227472442226, "right": -0.0008550443312963299, "delta": 4.1196863628800706e-13, "corrected": -0.0017009670785130878, "estimatedError": 2.7464575752533804e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.21475731030398976, "b": 0.22089323345553233, "fa": -0.28017471636517505, "fm": -0.2830893253739459, "fb": -0.28596471894853526, "fl": -0.28163691483984016, "fr": -0.2845319318516404, "whole": -0.0017369742417014805, "left": -0.0008640462282098052, "right": -0.0008729280130869788, "delta": 4.046966754767123e-13, "corrected": -0.0017369742412698041, "estimatedError": 2.6979778365114152e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.22089323345553233, "b": 0.2270291566070749, "fa": -0.28596471894853526, "fm": -0.28880077763679324, "fb": -0.29159739452611233, "fl": -0.28738767212790545, "fr": -0.2902040225020215, "whole": -0.0017720190423772232, "left": -0.000881689300059666, "right": -0.0008903297419209213, "delta": 3.9663584916471706e-13, "corrected": -0.001772019041954145, "estimatedError": 2.644238994431447e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.2270291566070749, "b": 0.23316507975861744, "fa": -0.29159739452611233, "fm": -0.2943544751143785, "fb": -0.2970719371752071, "fl": -0.29298088228312125, "fr": -0.29571816312414945, "whole": -0.001806095922574513, "left": -0.000898849029738182, "right": -0.0009072468924484855, "delta": 3.878455716310736e-13, "corrected": -0.0018060959221608112, "estimatedError": 2.585637144207157e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.23316507975861744, "b": 0.23930100291016002, "fa": -0.2970719371752071, "fm": -0.2997497106176891, "fb": -0.3023877373408743, "fl": -0.29841578888432524, "fr": -0.30107369548622853, "whole": -0.0018392005419114097, "left": -0.0009155230964365712, "right": -0.000923677445096456, "delta": 3.783824382291856e-13, "corrected": -0.0018392005415078017, "estimatedError": 2.5225495881945707e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.23930100291016002, "b": 0.2454369260617026, "fa": -0.3023877373408743, "fm": -0.304985971083221, "fb": -0.30754437726724093, "fl": -0.30369183076773815, "fr": -0.3062701543290493, "whole": -0.0018713297510590278, "left": -0.0009317097783771815, "right": -0.0009396199723135421, "delta": 3.6830412851462935e-13, "corrected": -0.00187132975066617, "estimatedError": 2.4553608567641958e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.04127705868969615, "estimatedCumulativeError": 4.637617742991931e-12, "exactCap": -0.041277058689697575, "actualError": 1.4224732503009818e-15 }, { "index": 5, "value": -0.0160100915140816, "estimatedError": 2.6978385093042363e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.2454369260617026, "b": 0.25770877236478773, "fa": -0.30754437726724093, "fm": -0.3125416261066813, "fb": -0.3173794347361337, "fl": -0.3100629328395682, "fr": -0.31498045656650736, "whole": -0.0038351366946055786, "left": -0.0019024815627052653, "right": -0.0019326551206315266, "delta": 1.1268786685031396e-11, "corrected": -0.0038351366825855396, "estimatedError": 7.512524456687597e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.25770877236478773, "b": 0.2699806186678728, "fa": -0.3173794347361337, "fm": -0.32205793030979263, "fb": -0.3265774105772104, "fl": -0.31973858197585714, "fr": -0.3243375222432654, "whole": -0.003951920186218459, "left": -0.0019618506670824733, "right": -0.00199006950860714, "delta": 1.0528846024204785e-11, "corrected": -0.00395192017498769, "estimatedError": 7.01923068280319e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.2699806186678728, "b": 0.28225246497095796, "fa": -0.3265774105772104, "fm": -0.33093833799548805, "fb": -0.3351413336637499, "fl": -0.32877765821979554, "fr": -0.33305953245177433, "whole": -0.0040609014006519764, "left": -0.002017313980549031, "right": -0.002043587410359499, "delta": 9.743446501009334e-12, "corrected": -0.004060901390258967, "estimatedError": 6.49563100067289e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.28225246497095796, "b": 0.2945243112740431, "fa": -0.3351413336637499, "fm": -0.3391871711074745, "fb": -0.34307676993953157, "fl": -0.3371838430367863, "fr": -0.3411514373430562, "whole": -0.004162133275771003, "left": -0.002068894079905492, "right": -0.0020932391869390127, "delta": 8.92649842931803e-12, "corrected": -0.0041621332662494055, "estimatedError": 5.950998952878687e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.057287150203777754, "estimatedCumulativeError": 7.335456252296168e-12, "exactCap": -0.05728715020377943, "actualError": 1.6792123247455493e-15 }, { "index": 6, "value": -0.017509322503672556, "estimatedError": 1.8226931538152987e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.2945243112740431, "b": 0.30679615757712825, "fa": -0.34307676993953157, "fm": -0.34681118942394035, "fb": -0.35039162196743767, "fl": -0.3449633056186466, "fr": -0.34862057451604855, "whole": -0.004255698662122152, "left": -0.002116628805890195, "right": -0.0021390698481408934, "delta": 8.091063409543242e-12, "corrected": -0.004255698653491684, "estimatedError": 5.394042273028828e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.30679615757712825, "b": 0.3190680038802134, "fa": -0.35039162196743767, "fm": -0.3538193865629495, "fb": -0.3570959222079791, "fl": -0.3521245005567533, "fr": -0.3554764635593757, "whole": -0.004341707821212903, "left": -0.0021605700219298326, "right": -0.0021811377920338882, "delta": 7.249181289969986e-12, "corrected": -0.004341707813480443, "estimatedError": 4.832787526646657e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.3190680038802134, "b": 0.3313398501832985, "fa": -0.3570959222079791, "fm": -0.36022278131981333, "fb": -0.36320162316825855, "fl": -0.358677960053786, "fr": -0.361730596702566, "whole": -0.004420295866375493, "left": -0.0022007823393631622, "right": -0.002219513520600589, "delta": 6.411742664580444e-12, "corrected": -0.004420295859536301, "estimatedError": 4.274495109720296e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.3313398501832985, "b": 0.3436116964863836, "fa": -0.36320162316825855, "fm": -0.3660342073454267, "fb": -0.36872238729085255, "fl": -0.3646360837499076, "fr": -0.3673962285168563, "whole": -0.004491620183125099, "left": -0.0022373418280097887, "right": -0.0022542783495269007, "delta": 5.588409943135808e-12, "corrected": -0.004491620177164129, "estimatedError": 3.7256066287572055e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.07479647270745031, "estimatedCumulativeError": 9.158149406111466e-12, "exactCap": -0.07479647270745192, "actualError": 1.609823385706477e-15 }, { "index": 7, "value": -0.018540991205585916, "estimatedError": 9.779590910234207e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.3436116964863836, "b": 0.35588354278946877, "fa": -0.36872238729085255, "fm": -0.37126810388897297, "fb": -0.3736733791547506, "fl": -0.37001292896055893, "fr": -0.3724881673139215, "whole": -0.004555857862422471, "left": -0.0022703347292447325, "right": -0.0022855231283901655, "delta": 4.787573115727639e-12, "corrected": -0.004555857857315726, "estimatedError": 3.191715410485093e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.35588354278946877, "b": 0.36815538909255385, "fa": -0.3736733791547506, "fm": -0.37594031002196693, "fb": -0.37807106224746273, "fl": -0.3748240038208293, "fr": -0.37702257058083166, "whole": -0.004613203176496911, "left": -0.0022998561868875045, "right": -0.002313346985593065, "delta": 4.01634107916049e-12, "corrected": -0.004613203172212813, "estimatedError": 2.677560719440327e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.36815538909255385, "b": 0.380427235395639, "fa": -0.37807106224746273, "fm": -0.3800678644433827, "fb": -0.38193300224826376, "fl": -0.379086065515953, "fr": -0.3810167464710787, "whole": -0.004663865122995921, "left": -0.002326009009279002, "right": -0.0023378561104363525, "delta": 3.2805667904423075e-12, "corrected": -0.00466386511949665, "estimatedError": 2.1870445269615384e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.380427235395639, "b": 0.39269908169872414, "fa": -0.38193300224826376, "fm": -0.3836688126466354, "fb": -0.38527767844565064, "fl": -0.38281692545816437, "fr": -0.38448896305335595, "whole": -0.00470806505931796, "left": -0.0023489024739601796, "right": -0.0023591625827728752, "delta": 2.5849053800208743e-12, "corrected": -0.0047080650565607274, "estimatedError": 1.7232702533472495e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.09333746391303623, "estimatedCumulativeError": 1.0136108497134886e-11, "exactCap": -0.09333746391303759, "actualError": 1.3600232051658168e-15 }, { "index": 8, "value": -0.01915327392597109, "estimatedError": 1.303335275352572e-12, "evaluations": 13, "converged": true, "leaves": [ { "a": 0.39269908169872414, "b": 0.4049709280018093, "fa": -0.38527767844565064, "fm": -0.3867620229161538, "fb": -0.38812430460452596, "fl": -0.3860352629549811, "fr": -0.38745826670927946, "whole": -0.00474603444514706, "left": -0.002368651184434169, "right": -0.0023773832587800164, "delta": 1.932874867105472e-12, "corrected": -0.004746034443085327, "estimatedError": 1.2885832447369812e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.4049709280018093, "b": 0.4172427743048944, "fa": -0.38812430460452596, "fm": -0.3893670123206217, "fb": -0.3904926603061291, "fl": -0.38876044860969033, "fr": -0.3899443107745199, "whole": -0.004778012707519786, "left": -0.0023853739866262504, "right": -0.0023926387195665963, "delta": 1.326938559031987e-12, "corrected": -0.004778012706104385, "estimatedError": 8.846257060213247e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.4172427743048944, "b": 0.44178646691106466, "fa": -0.3904926603061291, "fm": -0.3924029335107837, "fb": -0.3938755748433526, "fl": -0.39150378358675914, "fr": -0.39319267347561754, "whole": -0.009629226794157609, "left": -0.004804245239282611, "right": -0.004824981538584782, "delta": 1.6290215704151123e-11, "corrected": -0.009629226776781378, "estimatedError": 1.0860143802767415e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.11249073783900732, "estimatedCumulativeError": 1.143944377248746e-11, "exactCap": -0.11249073783899871, "actualError": -8.604228440844963e-15 }, { "index": 9, "value": -0.019406188115322947, "estimatedError": 1.037880256275307e-12, "evaluations": 13, "converged": true, "leaves": [ { "a": 0.44178646691106466, "b": 0.4663301595172349, "fa": -0.3938755748433526, "fm": -0.394931163876007, "fb": -0.395590287483675, "fl": -0.3944542130454372, "fr": -0.3953089999727581, "whole": -0.009691447299183118, "left": -0.004840473494132309, "right": -0.004850973818324265, "delta": -1.3273455251594513e-11, "corrected": -0.00969144731334147, "estimatedError": 8.848970167729675e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 0.4663301595172349, "b": 0.47860200582032003, "fa": -0.395590287483675, "fm": -0.39577758291740645, "fb": -0.39587343017460125, "fl": -0.39569552488733317, "fr": -0.39583677914429266, "whole": -0.004856734628107756, "left": -0.0024279336276421303, "right": -0.002428801001451247, "delta": -9.856221741544324e-13, "corrected": -0.004856734629159086, "estimatedError": 6.570814494362882e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.47860200582032003, "b": 0.4908738521234052, "fa": -0.39587343017460125, "fm": -0.3958803577570899, "fb": -0.3958008761514191, "fl": -0.39588785156805495, "fr": -0.3958512619691167, "whole": -0.0048580061714259895, "left": -0.002429115022182528, "right": -0.0024288911505525885, "delta": -1.3091264183806572e-12, "corrected": -0.004858006172822391, "estimatedError": 8.727509455871048e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.13189692595433025, "estimatedCumulativeError": 1.2477324028762766e-11, "exactCap": -0.13189692595431196, "actualError": -1.8290924330699454e-14 }, { "index": 10, "value": -0.019363518609975677, "estimatedError": 5.104411684997423e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.4908738521234052, "b": 0.5031456984264904, "fa": -0.3958008761514191, "fm": -0.39563747538289434, "fb": -0.3953926227359984, "fl": -0.3957295108986497, "fr": -0.3955250772862663, "whole": -0.004855035695484122, "left": -0.0024281447291474535, "right": -0.0024268909679267727, "delta": -1.5901039165933106e-12, "corrected": -0.004855035697180233, "estimatedError": 1.0600692777288738e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5031456984264904, "b": 0.5154175447295755, "fa": -0.3953926227359984, "fm": -0.39506876063678925, "fb": -0.39466830469265923, "fl": -0.39524041624199185, "fr": -0.3948779570179316, "whole": -0.004848066451702884, "left": -0.0024251449307359386, "right": -0.0024229215227978035, "delta": -1.830857514206752e-12, "corrected": -0.0048480664536557985, "estimatedError": 1.2205716761378346e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5154175447295755, "b": 0.5276893910326605, "fa": -0.39466830469265923, "fm": -0.3941936418846531, "fb": -0.3936471289073919, "fl": -0.39444010112492167, "fr": -0.3939292205992764, "whole": -0.004837336831156169, "left": -0.002420235479155234, "right": -0.002417101354034812, "delta": -2.0338765394090075e-12, "corrected": -0.004837336833325638, "estimatedError": 1.3559176929393382e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5276893910326605, "b": 0.5399612373357456, "fa": -0.3936471289073919, "fm": -0.3930310906515211, "fb": -0.39234781882352276, "fl": -0.39334765641461567, "fr": -0.39269771703364603, "whole": -0.0048230796234654425, "left": -0.0024135335111005953, "right": -0.002409546114566627, "delta": -2.2017795572870646e-12, "corrected": -0.0048230796258140075, "estimatedError": 1.4678530381913763e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.15126044456430593, "estimatedCumulativeError": 1.2987765197262508e-11, "exactCap": -0.15126044456428744, "actualError": -1.8485213360008856e-14 }, { "index": 11, "value": -0.0190869799258931, "estimatedError": 6.585209808007697e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.5399612373357456, "b": 0.5522330836388307, "fa": -0.39234781882352276, "fm": -0.3915995706976542, "fb": -0.3907885679947451, "fl": -0.3919816770946918, "fr": -0.39120177622772506, "whole": -0.004805521391535005, "left": -0.0024051531211362505, "right": -0.0024003682727360043, "delta": -2.3372493176965214e-12, "corrected": -0.004805521394028071, "estimatedError": 1.558166211797681e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5522330836388307, "b": 0.5645049299419159, "fa": -0.3907885679947451, "fm": -0.389916995882566, "fb": -0.3889870020924885, "fl": -0.3903602179946081, "fr": -0.389459168948267, "whole": -0.004784881954122898, "left": -0.0023952050900116852, "right": -0.0023896768665542007, "delta": -2.4429876524512117e-12, "corrected": -0.004784881956728752, "estimatedError": 1.6286584349674744e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5645049299419159, "b": 0.5767767762450011, "fa": -0.3889870020924885, "fm": -0.38800069614717925, "fb": -0.38696014869411915, "fl": -0.3885007578055233, "fr": -0.38748707472834976, "whole": -0.004761373968033851, "left": -0.0023837966638226202, "right": -0.0023775773067329, "delta": -2.5216695051510918e-12, "corrected": -0.004761373970723632, "estimatedError": 1.6811130034340612e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5767767762450011, "b": 0.5890486225480862, "fa": -0.38696014869411915, "fm": -0.38586739093979, "fb": -0.38472441417945036, "fl": -0.3864201707083613, "fr": -0.3853020570494281, "whole": -0.004735202601665009, "left": -0.002371031379879865, "right": -0.0023641712243610523, "delta": -2.5759082367127206e-12, "corrected": -0.004735202604412644, "estimatedError": 1.7172721578084804e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.17034742449019902, "estimatedCumulativeError": 1.3646286178063278e-11, "exactCap": -0.17034742449018037, "actualError": -1.865174681370263e-14 }, { "index": 12, "value": -0.01863257288991222, "estimatedError": 6.962203961495087e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.5890486225480862, "b": 0.6013204688511713, "fa": -0.38472441417945036, "fm": -0.383533169417507, "fb": -0.38229556707358164, "fl": -0.38413470494336727, "fr": -0.3829200451337662, "whole": -0.004706565291706562, "left": -0.002357008935172098, "right": -0.002349556359142702, "delta": -2.6082382781345004e-12, "corrected": -0.004706565294488683, "estimatedError": 1.7388255187563335e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6013204688511713, "b": 0.6135923151542565, "fa": -0.38229556707358164, "fm": -0.3810134767694849, "fb": -0.3796887271924223, "fl": -0.3816599676630973, "fr": -0.3803563216983827, "whole": -0.004675651574979035, "left": -0.0023418250933837305, "right": -0.002333826484216373, "delta": -2.621068292962825e-12, "corrected": -0.004675651577774841, "estimatedError": 1.7473788619752167e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6135923151542565, "b": 0.6258641614573417, "fa": -0.3796887271924223, "fm": -0.37832310602988084, "fb": -0.37691835997177014, "fl": -0.37901091543080223, "fr": -0.3776255160447518, "whole": -0.004642642987653662, "left": -0.002325571626554826, "right": -0.0023170713637155386, "delta": -2.6167028613355292e-12, "corrected": -0.004642642990444812, "estimatedError": 1.744468574223686e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6258641614573417, "b": 0.6381360077604268, "fa": -0.37691835997177014, "fm": -0.37547619477553273, "fb": -0.37399827539007013, "fl": -0.37620184975199716, "fr": -0.37474160188670225, "whole": -0.004607713024433434, "left": -0.002308336287625693, "right": -0.0022993767394050373, "delta": -2.5972965098097767e-12, "corrected": -0.0046077130272038835, "estimatedError": 1.731531006539851e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18897999738011123, "estimatedCumulativeError": 1.4342506574212787e-11, "exactCap": -0.18897999738009244, "actualError": -1.8790524691780774e-14 }, { "index": 13, "value": -0.018048749578481182, "estimatedError": 6.641110115538733e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.6381360077604268, "b": 0.6504078540635119, "fa": -0.37399827539007013, "fm": -0.3724862261344736, "fb": -0.3709416309276942, "fl": -0.37324641705724915, "fr": -0.37171789935091365, "whole": -0.004571027150653338, "left": -0.0022902028102966096, "right": -0.0022808243429215907, "delta": -2.5648623849794383e-12, "corrected": -0.004571027153389191, "estimatedError": 1.7099082566529589e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6504078540635119, "b": 0.662679700366597, "fa": -0.3709416309276942, "fm": -0.3693660335654286, "fb": -0.3677609380406419, "fl": -0.3701576125875996, "fr": -0.36856708061898075, "whole": -0.00453274286067566, "left": -0.0022712509328352694, "right": -0.0022614919303616562, "delta": -2.521265314581189e-12, "corrected": -0.00453274286336501, "estimatedError": 1.6808435430541262e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.662679700366597, "b": 0.674951546669682, "fa": -0.3677609380406419, "fm": -0.3661278089042982, "fb": -0.36446807166301065, "fl": -0.36694778766954783, "fr": -0.36530117871620005, "whole": -0.004493009776396475, "left": -0.002251556442685265, "right": -0.0022414533361794354, "delta": -2.4682252769414603e-12, "corrected": -0.004493009779029248, "estimatedError": 1.6454835179609736e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.674951546669682, "b": 0.6872233929727672, "fa": -0.36446807166301065, "fm": -0.36278311321046447, "fb": -0.3610742822896182, "fl": -0.3636286599031663, "fr": -0.3619315989891838, "whole": -0.004451969780129935, "left": -0.002231191238951469, "right": -0.0022207785435857776, "delta": -2.4073121968060107e-12, "corrected": -0.004451969782697734, "estimatedError": 1.604874797870674e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2070287469585924, "estimatedCumulativeError": 1.500661758576666e-11, "exactCap": -0.20702874695857362, "actualError": -1.8790524691780774e-14 }, { "index": 14, "value": -0.01737588783334882, "estimatedError": 5.939858558715964e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.6872233929727672, "b": 0.6994952392758524, "fa": -0.3610742822896182, "fm": -0.3593428899828165, "fb": -0.3575902102270939, "fl": -0.3602113258240035, "fr": -0.3584691328514294, "whole": -0.004409757176592022, "left": -0.0022102234100668063, "right": -0.0021995337688651704, "delta": -2.3399554863190453e-12, "corrected": -0.004409757179087974, "estimatedError": 1.559970324212697e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6994952392758524, "b": 0.7117670855789375, "fa": -0.3575902102270939, "fm": -0.35581748035208255, "fb": -0.35402590163806696, "fl": -0.356706275636242, "fr": -0.3549239734124753, "whole": -0.004366498879155879, "left": -0.0021887173241701675, "right": -0.0021777815572531544, "delta": -2.2674423102997388e-12, "corrected": -0.004366498881574484, "estimatedError": 1.5116282068664925e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7117670855789375, "b": 0.7240389318820226, "fa": -0.35402590163806696, "fm": -0.3522166398918622, "fb": -0.3503908260383118, "fl": -0.3531234096506684, "fr": -0.35130573264181925, "whole": -0.00432231461598911, "left": -0.002166733729947742, "right": -0.0021555808882323018, "delta": -2.1909340661152577e-12, "corrected": -0.004322314618326106, "estimatedError": 1.4606227107435052e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7240389318820226, "b": 0.7363107781851077, "fa": -0.3503908260383118, "fm": -0.34854955672533156, "fb": -0.34669389494053776, "fl": -0.34947205609590803, "fr": -0.34762345975297226, "whole": -0.004277317152108036, "left": -0.0021443298659019456, "right": -0.0021329872883175463, "delta": -2.1114559753399043e-12, "corrected": -0.0042773171543602564, "estimatedError": 1.4076373168932694e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.22440463479194123, "estimatedCumulativeError": 1.5600603441638255e-11, "exactCap": -0.22440463479192244, "actualError": -1.8790524691780774e-14 }, { "index": 15, "value": -0.016646606798692315, "estimatedError": 5.081024143094303e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.7363107781851077, "b": 0.7485826244881928, "fa": -0.34669389494053776, "fm": -0.344824870637614, "fb": -0.34294348137068875, "fl": -0.345760990004826, "fr": -0.3438856605256425, "whole": -0.004231612523789703, "left": -0.0021215595762201053, "right": -0.0021100529495995273, "delta": -2.0299300435011602e-12, "corrected": -0.004231612525954961, "estimatedError": 1.3532866956674402e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7485826244881928, "b": 0.760854470791278, "fa": -0.34294348137068875, "fm": -0.3410506929350889, "fb": -0.3391474400129558, "fl": -0.34199845290971653, "fr": -0.34010031731483403, "whole": -0.004185300282165054, "left": -0.002098473431607483, "right": -0.0020868268525047287, "delta": -1.947157712844927e-12, "corrected": -0.004185300284242022, "estimatedError": 1.298105141896618e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.760854470791278, "b": 0.7731263170943632, "fa": -0.3391474400129558, "fm": -0.3372346268222918, "fb": -0.33531312776811306, "fl": -0.3381921731097744, "fr": -0.3362749095245702, "whole": -0.004138473743177782, "left": -0.002075118853633635, "right": -0.002063354891407993, "delta": -1.8638458831876648e-12, "corrected": -0.004138473745165884, "estimatedError": 1.2425639221251099e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7731263170943632, "b": 0.7853981633974483, "fa": -0.33531312776811306, "fm": -0.33338378809446856, "fb": -0.331447424536179, "fl": -0.33434938630224337, "fr": -0.33241643435082197, "whole": -0.004091220241430137, "left": -0.002051540241311703, "right": -0.002039680001899036, "delta": -1.7806025751077037e-12, "corrected": -0.0040912202433294464, "estimatedError": 1.1870683834051357e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.24105124159063354, "estimatedCumulativeError": 1.6108705855947685e-11, "exactCap": -0.2410512415906147, "actualError": -1.8846035843012032e-14 }, { "index": 16, "value": -0.015886549902995827, "estimatedError": 4.2054519588941017e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.7853981633974483, "b": 0.7976700097005334, "fa": -0.331447424536179, "fm": -0.3295048259692243, "fb": -0.32755675405879614, "fl": -0.33047685639453184, "fr": -0.3285314276231341, "whole": -0.0040436213857474755, "left": -0.002027779098790181, "right": -0.0020158422886552506, "delta": -1.6979560119034787e-12, "corrected": -0.004043621387558628, "estimatedError": 1.1319706746023191e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7976700097005334, "b": 0.8099418560036186, "fa": -0.32755675405879614, "fm": -0.3256039439041036, "fb": -0.323647104679094, "fl": -0.32658089633846493, "fr": -0.32462598459729897, "whole": -0.0039957533145809215, "left": -0.0020038741631811757, "right": -0.0019918791530160952, "delta": -1.6163494154231017e-12, "corrected": -0.003995753316305028, "estimatedError": 1.0775662769487345e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8099418560036186, "b": 0.8222137023067038, "fa": -0.323647104679094, "fm": -0.3216869202683194, "fb": -0.3197240498972425, "fl": -0.32266738884973417, "fr": -0.3207057805723626, "whole": -0.003947686949630305, "left": -0.001979861531686107, "right": -0.001967825419480361, "delta": -1.5361626901078118e-12, "corrected": -0.0039476869512688785, "estimatedError": 1.0241084600718746e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8222137023067038, "b": 0.8344855486097889, "fa": -0.3197240498972425, "fm": -0.317759128756344, "fb": -0.315792768618442, "fl": -0.318741806895554, "fr": -0.31677609122423783, "whole": -0.003899488246308402, "left": -0.001955774787299867, "right": -0.001943713460466245, "delta": -1.4577098209067607e-12, "corrected": -0.0038994882478632924, "estimatedError": 9.718065472711738e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2569377914936294, "estimatedCumulativeError": 1.6529251051837096e-11, "exactCap": -0.2569377914936105, "actualError": -1.887379141862766e-14 }, { "index": 17, "value": -0.015115369995999895, "estimatedError": 3.39261229063507e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.8344855486097889, "b": 0.8467573949128739, "fa": -0.315792768618442, "fm": -0.3138255584487016, "fb": -0.3118580650068527, "fl": -0.31480923385163073, "fr": -0.31284181256540705, "whole": -0.003851218439883682, "left": -0.001931645122487523, "right": -0.0019195733187774035, "delta": -1.38124451112831e-12, "corrected": -0.0038512184413570095, "estimatedError": 9.2082967408554e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8467573949128739, "b": 0.859029241215959, "fa": -0.3118580650068527, "fm": -0.30989083344119556, "fb": -0.30792438787401005, "fl": -0.3108743832458602, "fr": -0.3089074804556546, "whole": -0.0038029342863340324, "left": -0.001907501460325431, "right": -0.0018954328273155764, "delta": -1.306974927589577e-12, "corrected": -0.003802934287728139, "estimatedError": 8.713166183930513e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.859029241215959, "b": 0.8713010875190441, "fa": -0.30792438787401005, "fm": -0.30595923197803576, "fb": -0.30399584954372577, "fl": -0.3069416180208103, "fr": -0.3049772896026038, "whole": -0.0037546882971192393, "left": -0.0018833705726910305, "right": -0.001871317725663274, "delta": -1.2350654353399104e-12, "corrected": -0.0037546882984366425, "estimatedError": 8.233769568932736e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8713010875190441, "b": 0.8835729338221293, "fa": -0.30399584954372577, "fm": -0.30203470503702023, "fb": -0.3000762441474203, "fl": -0.3030149692601114, "fr": -0.30105511200315865, "whole": -0.0037065289672347616, "left": -0.0018592771951637412, "right": -0.001847251773236654, "delta": -1.1656335618948077e-12, "corrected": -0.0037065289684781043, "estimatedError": 7.770890412632051e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.27205316148962927, "estimatedCumulativeError": 1.6868512280900603e-11, "exactCap": -0.2720531614896105, "actualError": -1.8762769116165146e-14 }, { "index": 18, "value": -0.01434774643834029, "estimatedError": 2.68015528751923e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.8835729338221293, "b": 0.8958447801252145, "fa": -0.3000762441474203, "fm": -0.2981208943261742, "fb": -0.2961690653144224, "fl": -0.2990981543354711, "fr": -0.2971445147878577, "whole": -0.0036585009960479436, "left": -0.0018352441383715794, "right": -0.0018232568587751314, "delta": -1.0987673444706747e-12, "corrected": -0.0036585009972199623, "estimatedError": 7.325115629804498e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8958447801252145, "b": 0.9081166264282996, "fa": -0.2961690653144224, "fm": -0.29422114966118057, "fb": -0.2922775232310559, "fl": -0.29519459444128837, "fr": -0.293248777439754, "whole": -0.0036106455005401454, "left": -0.0018112923955805058, "right": -0.0017993531059941642, "delta": -1.0345244626230876e-12, "corrected": -0.003610645501643638, "estimatedError": 6.896829750820585e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9081166264282996, "b": 0.9203884727313847, "fa": -0.2922775232310559, "fm": -0.29033854570163325, "fb": -0.28840456105047796, "fl": -0.29130743149282556, "fr": -0.28937090836785323, "whole": -0.00356300022068414, "left": -0.0017874412463796136, "right": -0.0017755589752774606, "delta": -9.72933972970269e-13, "corrected": -0.003563000221721936, "estimatedError": 6.486226486468461e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9203884727313847, "b": 0.9326603190344698, "fa": -0.28840456105047796, "fm": -0.2864758980317319, "fb": -0.2845528706422969, "fl": -0.2874395443717665, "fr": -0.28551366082246504, "whole": -0.0035155997167798107, "left": -0.0017637083563616979, "right": -0.0017518913613321198, "delta": -9.14007151214813e-13, "corrected": -0.003515599717754752, "estimatedError": 6.093381008098752e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2864009079279696, "estimatedCumulativeError": 1.7136527809652526e-11, "exactCap": -0.28640090792795075, "actualError": -1.8818280267396403e-14 }, { "index": 19, "value": -0.013594336498313712, "estimatedError": 1.6649125654522035e-12, "evaluations": 13, "converged": true, "leaves": [ { "a": 0.9326603190344698, "b": 0.9449321653375549, "fa": -0.2845528706422969, "fm": -0.2826357785776178, "fb": -0.2807249076770991, "fl": -0.28359356450979817, "fr": -0.28167954814616003, "whole": -0.0034684755586523817, "left": -0.001740109872742866, "right": -0.001728365686767246, "delta": -8.577305532497803e-13, "corrected": -0.0034684755595672944, "estimatedError": 5.718203688331868e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9449321653375549, "b": 0.9572040116406401, "fa": -0.2807249076770991, "fm": -0.2788205303591959, "fb": -0.2769229060462477, "fl": -0.27977189080673653, "fr": -0.2778708583594599, "whole": -0.0034216565066859015, "left": -0.0017166605158990779, "right": -0.001704995991590899, "delta": -8.040751224569487e-13, "corrected": -0.0034216565075435817, "estimatedError": 5.360500816379658e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9572040116406401, "b": 0.9817477042468103, "fa": -0.2769229060462477, "fm": -0.2731488916217567, "fb": -0.26940469536479206, "fl": -0.2750322815791212, "fr": -0.2712729590557084, "whole": -0.006704204406336827, "left": -0.0033751686847244724, "right": -0.0033290357449242375, "delta": -2.3311882806076323e-11, "corrected": -0.006704204431202836, "estimatedError": 1.5541255204050882e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.2999952444262833, "estimatedCumulativeError": 1.880144037510473e-11, "exactCap": -0.29999524442626496, "actualError": -1.8318679906315083e-14 }, { "index": 20, "value": -0.012862613542414192, "estimatedError": 2.5385051121336784e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 0.9817477042468103, "b": 1.0062913968529807, "fa": -0.26940469536479206, "fm": -0.2656919657944632, "fb": -0.2620121808311317, "fl": -0.26754430100994947, "fr": -0.2638478692196434, "whole": -0.006521196700106307, "left": -0.003283279024680381, "right": -0.0032379176957883318, "delta": -2.036240533825895e-11, "corrected": -0.006521196721826206, "estimatedError": 1.3574936892172633e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.0062913968529807, "b": 1.030835089459151, "fa": -0.2620121808311317, "fm": -0.258366659030533, "fb": -0.25475657022664217, "fl": -0.2601850605559633, "fr": -0.2565571179196226, "whole": -0.006341416801691802, "left": -0.003192968906027792, "right": -0.0031484479133791817, "delta": -1.7715171343746228e-11, "corrected": -0.006341416820587985, "estimatedError": 1.181011422916415e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.3128578579686975, "estimatedCumulativeError": 2.1339945487238408e-11, "exactCap": -0.3128578579686801, "actualError": -1.73749903353837e-14 }, { "index": 21, "value": -0.012157576300173323, "estimatedError": 1.9063969731540155e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.030835089459151, "b": 1.055378782065321, "fa": -0.25475657022664217, "fm": -0.2511829456024793, "fb": -0.24764668720897212, "fl": -0.25296514059524505, "fr": -0.24941009404363762, "whole": -0.006165109855659461, "left": -0.003104368213100815, "right": -0.0030607416579087627, "delta": -1.5350116143453274e-11, "corrected": -0.006165109872032918, "estimatedError": 1.0233410762302183e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.055378782065321, "b": 1.0799224746714913, "fa": -0.24764668720897212, "fm": -0.24414857695264278, "fb": -0.24068928507328108, "fl": -0.24589281915243946, "fr": -0.24241404096614005, "whole": -0.00599246641401151, "left": -0.003017578571510101, "right": -0.0029748878557472476, "delta": -1.3245838453856962e-11, "corrected": -0.005992466428140404, "estimatedError": 8.830558969237974e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.3250154342688708, "estimatedCumulativeError": 2.3246342460392423e-11, "exactCap": -0.32501543426885426, "actualError": -1.6542323066914832e-14 }, { "index": 22, "value": -0.01148233189611031, "estimatedError": 1.4075410975644686e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.0799224746714913, "b": 1.1044661672776614, "fa": -0.24068928507328108, "fm": -0.2372693781329504, "fb": -0.23388932653768632, "fl": -0.2389743769167465, "fr": -0.23557434457647214, "whole": -0.005823629714641961, "left": -0.0029326770916143726, "right": -0.0028909526344081, "delta": -1.1380511116820813e-11, "corrected": -0.005823629726781173, "estimatedError": 7.587007411213875e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.1044661672776614, "b": 1.1290098598838318, "fa": -0.23388932653768632, "fm": -0.23054951161309653, "fb": -0.22725023225480395, "fl": -0.23221436895374742, "fr": -0.22889478935364607, "whole": -0.00565870215894769, "left": -0.002849719703273824, "right": -0.0028089824654064714, "delta": -9.732605346646217e-12, "corrected": -0.005658702169329136, "estimatedError": 6.488403564430811e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.3364977661649811, "estimatedCumulativeError": 2.465388355795689e-11, "exactCap": -0.33649776616496513, "actualError": -1.5987211554602254e-14 }, { "index": 23, "value": -0.010838564765031504, "estimatedError": 1.0192202406130354e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.1290098598838318, "b": 1.1535535524900022, "fa": -0.22725023225480395, "fm": -0.2239917111743003, "fb": -0.22077410076031417, "fl": -0.22561586582348955, "fr": -0.22237778520397586, "whole": -0.005497751055196016, "left": -0.0027687441151601684, "right": -0.0027290069483171795, "delta": -8.281332217197068e-12, "corrected": -0.005497751064029437, "estimatedError": 5.520888144798045e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.1535535524900022, "b": 1.1780972450961724, "fa": -0.22077410076031417, "fm": -0.21759748857527475, "fb": -0.21446190250586183, "fl": -0.2191806668056833, "fr": -0.21602456773024195, "whole": -0.005340813693527964, "left": -0.0026897724317589463, "right": -0.002651041268775989, "delta": -7.006971391998462e-12, "corrected": -0.005340813701002067, "estimatedError": 4.671314261332308e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.3473363309300126, "estimatedCumulativeError": 2.5673103798569926e-11, "exactCap": -0.3473363309299972, "actualError": -1.5376588891058418e-14 }, { "index": 24, "value": -0.01022690737173405, "estimatedError": 7.2050825953666e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.1780972450961724, "b": 1.2026409377023426, "fa": -0.21446190250586183, "fm": -0.21136731558601846, "fb": -0.20831365051014433, "fl": -0.21290948785485778, "fr": -0.20983537449824302, "whole": -0.005187901816261143, "left": -0.00261281346024666, "right": -0.0025750883619055547, "delta": -5.8910714847981716e-12, "corrected": -0.005187901822544952, "estimatedError": 3.927380989865448e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.2026409377023426, "b": 1.227184630308513, "fa": -0.20831365051014433, "fm": -0.2053007838535169, "fb": -0.2023285500163007, "fl": -0.2068021267853345, "fr": -0.20380959972750723, "whole": -0.0050390055439447756, "left": -0.0025378647379152154, "right": -0.0025011408109461126, "delta": -4.916552408251729e-12, "corrected": -0.005039005549189098, "estimatedError": 3.2777016055011524e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.35756323830174663, "estimatedCumulativeError": 2.6393612058106585e-11, "exactCap": -0.3575632383017317, "actualError": -1.4932499681208355e-14 }, { "index": 25, "value": -0.009647229204587587, "estimatedError": 4.932063438212175e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.227184630308513, "b": 1.2517283229146834, "fa": -0.2023285500163007, "fm": -0.19939674490682135, "fb": -0.19650512937907805, "fl": -0.20085760803430042, "fr": -0.1979459296719804, "whole": -0.004894096813787346, "left": -0.0024649143089612207, "right": -0.002429182508893868, "delta": -4.067741803115421e-12, "corrected": -0.00489409681812627, "estimatedError": 2.711827868743614e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.2517283229146834, "b": 1.2762720155208536, "fa": -0.19650512937907805, "fm": -0.19365343243879998, "fb": -0.19084135423166604, "fl": -0.19507430918358035, "fr": -0.19224246078437807, "whole": -0.00475313238290894, "left": -0.0023939422773978855, "right": -0.002359190108841408, "delta": -3.330353354202842e-12, "corrected": -0.004753132386461317, "estimatedError": 2.2202355694685613e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.36721046750633424, "estimatedCumulativeError": 2.68868184019278e-11, "exactCap": -0.36721046750631964, "actualError": -1.459943277382081e-14 }, { "index": 26, "value": -0.00909885935103891, "estimatedError": 3.220608386459804e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.2762720155208536, "b": 1.3008157081270237, "fa": -0.19084135423166604, "fm": -0.18806856882665085, "fb": -0.18533472680681112, "fl": -0.189450071246098, "fr": -0.1866968025824785, "whole": -0.004616056444576142, "left": -0.0023249221607079995, "right": -0.0022911342865596113, "delta": -2.6914685757883916e-12, "corrected": -0.0046160564474470415, "estimatedError": 1.7943123838589277e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.3008157081270237, "b": 1.325359400733194, "fa": -0.18533472680681112, "fm": -0.18263945767920256, "fb": -0.1799823721150033, "fl": -0.18398229454820123, "fr": -0.1813061669625626, "whole": -0.004482802901309796, "left": -0.0022578220667088763, "right": -0.0022249808367403633, "delta": -2.139444003901314e-12, "corrected": -0.00448280290359187, "estimatedError": 1.426296002600876e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.37630932685737317, "estimatedCumulativeError": 2.7208879240573782e-11, "exactCap": -0.3763093268573589, "actualError": -1.426636586643326e-14 }, { "index": 27, "value": -0.008580756044899388, "estimatedError": 3.1012007776591116e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.325359400733194, "b": 1.3744467859455345, "fa": -0.1799823721150033, "fm": -0.17478111251769843, "fb": -0.16972753207795058, "fl": -0.17736306403033394, "fr": -0.17223608363742354, "whole": -0.008580755995280175, "left": -0.004353297334619131, "right": -0.004227458707179056, "delta": -4.651801166488667e-11, "corrected": -0.008580756044899388, "estimatedError": 3.1012007776591116e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.38489008290227256, "estimatedCumulativeError": 3.0310080018232894e-11, "exactCap": -0.384890082902271, "actualError": -1.5543122344752192e-15 }, { "index": 28, "value": -0.008091634451520387, "estimatedError": 1.6040953287888016e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.3744467859455345, "b": 1.423534171157875, "fa": -0.16972753207795058, "fm": -0.16481803192584726, "fb": -0.16004887774238538, "fl": -0.16725500269333765, "fr": -0.16241614912104352, "whole": -0.008091634425854862, "left": -0.004105200829577506, "right": -0.003986433620338785, "delta": -2.4061429931832023e-11, "corrected": -0.008091634451520387, "estimatedError": 1.6040953287888016e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.39298171735379295, "estimatedCumulativeError": 3.1914175347021695e-11, "exactCap": -0.3929817173538011, "actualError": 8.1601392309949e-15 }, { "index": 29, "value": -0.007630061920736574, "estimatedError": 5.189647901230702e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.423534171157875, "b": 1.4726215563702154, "fa": -0.16004887774238538, "fm": -0.1554162403430705, "fb": -0.15091623023133316, "fl": -0.15771573649189335, "fr": -0.1531499014918939, "whole": -0.007630061912433137, "left": -0.003871064184784945, "right": -0.003758997735432664, "delta": -7.784471851846053e-12, "corrected": -0.007630061920736574, "estimatedError": 5.189647901230702e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4006117792745295, "estimatedCumulativeError": 3.2433140137144763e-11, "exactCap": -0.40061177927454517, "actualError": 1.5654144647214707e-14 }, { "index": 30, "value": -0.007194528126749846, "estimatedError": 2.5314553693996564e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.4726215563702154, "b": 1.521708941582556, "fa": -0.15091623023133316, "fm": -0.14654492689141496, "fb": -0.14229840350006234, "fl": -0.1487147357545251, "fr": -0.14440631278337948, "whole": -0.007194528130800175, "left": -0.003650138374027329, "right": -0.003544389752975663, "delta": 3.7971830540994844e-12, "corrected": -0.007194528126749846, "estimatedError": 2.5314553693996564e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4078063074012794, "estimatedCumulativeError": 3.2686285674084726e-11, "exactCap": -0.4078063074013004, "actualError": 2.1038726316646716e-14 }, { "index": 31, "value": -0.006783495973726859, "estimatedError": 7.890621605185129e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.521708941582556, "b": 1.5707963267948966, "fa": -0.14229840350006234, "fm": -0.13817274765549786, "fb": -0.13416407864998736, "fl": -0.1402207106023919, "fr": -0.13615403069500834, "whole": -0.006783495986351854, "left": -0.0034416556318393947, "right": -0.003341840342676527, "delta": 1.1835932407777694e-11, "corrected": -0.006783495973726859, "estimatedError": 7.890621605185129e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4145898033750062, "estimatedCumulativeError": 3.347534783460324e-11, "exactCap": -0.41458980337503154, "actualError": 2.531308496145357e-14 }, { "index": 32, "value": -0.006395437875589112, "estimatedError": 1.1480332309798946e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.5707963267948966, "b": 1.6198837120072371, "fa": -0.13416407864998736, "fm": -0.13026856174812662, "fb": -0.1264824198760305, "fl": -0.13220241372556735, "fr": -0.1283620524756878, "whole": -0.0063954378939576435, "left": -0.0032448491763442462, "right": -0.0031505887003928992, "delta": 1.722049846469842e-11, "corrected": -0.006395437875589112, "estimatedError": 1.1480332309798946e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.42098524125059533, "estimatedCumulativeError": 3.462338106558314e-11, "exactCap": -0.4209852412506237, "actualError": 2.836619827917275e-14 }, { "index": 33, "value": -0.006028860991634049, "estimatedError": 1.3754900575017418e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.6198837120072371, "b": 1.6689710972195777, "fa": -0.1264824198760305, "fm": -0.12280194307618583, "fb": -0.11922349603819854, "fl": -0.1246292023748567, "fr": -0.12100018995702287, "whole": -0.00602886101364189, "left": -0.0030589670178644917, "right": -0.002969893975145047, "delta": 2.0632350862526128e-11, "corrected": -0.006028860991634049, "estimatedError": 1.3754900575017418e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.42701410224222935, "estimatedCumulativeError": 3.599887112308488e-11, "exactCap": -0.4270141022422601, "actualError": 3.0753177782116836e-14 }, { "index": 34, "value": -0.005682324182444003, "estimatedError": 1.5060966362945293e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.6689710972195777, "b": 1.718058482431918, "fa": -0.11922349603819854, "fm": -0.11574352397638896, "fb": -0.11235855709060553, "fl": -0.11747141953316315, "fr": -0.11403937833293354, "whole": -0.005682324206541549, "left": -0.0028832813259925863, "right": -0.0027990428579575135, "delta": 2.259144954441794e-11, "corrected": -0.005682324182444003, "estimatedError": 1.5060966362945293e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4326964264246734, "estimatedCumulativeError": 3.7504967759379414e-11, "exactCap": -0.43269642642470585, "actualError": 3.247402347028583e-14 }, { "index": 35, "value": -0.005354448807386364, "estimatedError": 1.5661757192068453e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.718058482431918, "b": 1.7671458676442586, "fa": -0.11235855709060553, "fm": -0.10906521381622486, "fb": -0.10586020304259536, "fl": -0.1107006403360808, "fr": -0.10745186898579256, "whole": -0.005354448832445176, "left": -0.002717094486616029, "right": -0.002637354322336511, "delta": 2.3492635788102678e-11, "corrected": -0.005354448807386364, "estimatedError": 1.5661757192068453e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.43805087523205977, "estimatedCumulativeError": 3.9071143478586257e-11, "exactCap": -0.43805087523209324, "actualError": 3.347322419244847e-14 }, { "index": 36, "value": -0.005043924983146111, "estimatedError": 1.575623428025826e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.7671458676442586, "b": 1.8162332528565992, "fa": -0.10586020304259536, "fm": -0.10274032545576778, "fb": -0.09970247414082287, "fl": -0.10428981895115157, "fr": -0.1012113370839295, "whole": -0.005043925008356086, "left": -0.0025597427136849035, "right": -0.0024841822710368307, "delta": 2.363435142038739e-11, "corrected": -0.005043924983146111, "estimatedError": 1.575623428025826e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.44309480021520586, "estimatedCumulativeError": 4.064676690661208e-11, "exactCap": -0.4430948002152403, "actualError": 3.441691376337985e-14 }, { "index": 37, "value": -0.004749514533714191, "estimatedError": 1.5494048174099125e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.8162332528565992, "b": 1.8653206380689396, "fa": -0.09970247414082287, "fm": -0.09674363456114024, "fb": -0.09386088401623514, "fl": -0.09821336269574896, "fr": -0.09529292726483622, "whole": -0.004749514558504668, "left": -0.0024105978734917212, "right": -0.0023389166617718746, "delta": 2.3241072261148688e-11, "corrected": -0.004749514533714191, "estimatedError": 1.5494048174099125e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.44784431474892006, "estimatedCumulativeError": 4.2196171724021994e-11, "exactCap": -0.4478443147489551, "actualError": 3.502753642692369e-14 }, { "index": 38, "value": -0.0044700515622913585, "estimatedError": 1.4987130171154975e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.8653206380689396, "b": 1.9144080232812801, "fa": -0.09386088401623514, "fm": -0.09105139066604966, "fb": -0.08831241219758953, "fl": -0.0924471536668856, "fr": -0.08967325501172614, "whole": -0.004470051586270766, "left": -0.0022690680194285624, "right": -0.0022009835443615082, "delta": 2.2480695256732464e-11, "corrected": -0.0044700515622913585, "estimatedError": 1.4987130171154975e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4523143663112114, "estimatedCumulativeError": 4.3694884741137494e-11, "exactCap": -0.4523143663112468, "actualError": 3.5360603334311236e-14 }, { "index": 39, "value": -0.004204441345268738, "estimatedError": 1.4318680500539452e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.9144080232812801, "b": 1.9634954084936207, "fa": -0.08831241219758953, "fm": -0.08564129419933109, "fb": -0.08303546829968765, "fl": -0.0869685331562651, "fr": -0.0843303769544109, "whole": -0.004204441368178626, "left": -0.002134597012382945, "right": -0.0020698443343176603, "delta": 2.147802075080918e-11, "corrected": -0.004204441345268738, "estimatedError": 1.4318680500539452e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4565188076564802, "estimatedCumulativeError": 4.512675279119144e-11, "exactCap": -0.4565188076565158, "actualError": 3.5638159090467525e-14 }, { "index": 40, "value": -0.003951658072276132, "estimatedError": 1.3550052862150904e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.9634954084936207, "b": 2.012582793705961, "fa": -0.08303546829968765, "fm": -0.08049245011787677, "fb": -0.07800983706859901, "fl": -0.08175626029615331, "fr": -0.07924373998055619, "whole": -0.003951658093956217, "left": -0.0020066635079204775, "right": -0.0019449945657106606, "delta": 2.0325079293226356e-11, "corrected": -0.003951658072276132, "estimatedError": 1.3550052862150904e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.46047046572875633, "estimatedCumulativeError": 4.648175807740653e-11, "exactCap": -0.46047046572879197, "actualError": 3.5638159090467525e-14 }, { "index": 41, "value": -0.0037107418219580355, "estimatedError": 1.2726047935359327e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.012582793705961, "b": 2.061670178918302, "fa": -0.07800983706859901, "fm": -0.0755853060559128, "fb": -0.07321661108645469, "fl": -0.07679045346095555, "fr": -0.07439411649503891, "whole": -0.0037107418423197123, "left": -0.001884779519664229, "right": -0.0018259623035664114, "delta": 1.908907190303899e-11, "corrected": -0.0037107418219580355, "estimatedError": 1.2726047935359327e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.46418120755071435, "estimatedCumulativeError": 4.775436287094246e-11, "exactCap": -0.4641812075507501, "actualError": 3.574918139293004e-14 }, { "index": 42, "value": -0.0034807950610211197, "estimatedError": 1.1878971764578416e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.061670178918302, "b": 2.110757564130642, "fa": -0.07321661108645469, "fm": -0.07090158082759536, "fb": -0.06863811613218063, "fl": -0.07205252072759331, "fr": -0.06976353122947462, "whole": -0.0034807950800274743, "left": -0.001768488713707751, "right": -0.0017123063485012656, "delta": 1.7818457646867625e-11, "corrected": -0.0034807950610211197, "estimatedError": 1.1878971764578416e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.46766200261173546, "estimatedCumulativeError": 4.8942260047400306e-11, "exactCap": -0.46766200261177115, "actualError": 3.569367024169878e-14 }, { "index": 43, "value": -0.0032609788767014375, "estimatedError": 1.103171286959137e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.110757564130642, "b": 2.1598449493429825, "fa": -0.06863811613218063, "fm": -0.06642418754807616, "fb": -0.0642578328277665, "fl": -0.06752508401266759, "fr": -0.06533518353812051, "whole": -0.003260978894352178, "left": -0.0016573645475100578, "right": -0.0016036143302945512, "delta": 1.6547569304387055e-11, "corrected": -0.0032609788767014375, "estimatedError": 1.103171286959137e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4709229814884369, "estimatedCumulativeError": 5.004543133435944e-11, "exactCap": -0.4709229814884726, "actualError": 3.569367024169878e-14 }, { "index": 44, "value": -0.003050509094321337, "estimatedError": 1.0200113612542547e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.1598449493429825, "b": 2.2089323345553233, "fa": -0.0642578328277665, "fm": -0.062137154450698236, "fb": -0.06006031716883113, "fl": -0.06319190023027736, "fr": -0.061093368009841886, "whole": -0.003050509110641519, "left": -0.0015510083354217058, "right": -0.0014995007599196426, "delta": 1.530017041881382e-11, "corrected": -0.003050509094321337, "estimatedError": 1.0200113612542547e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4739734905827583, "estimatedCumulativeError": 5.1065442695613694e-11, "exactCap": -0.47397349058279387, "actualError": 3.558264793923627e-14 }, { "index": 45, "value": -0.0028486523875810086, "estimatedError": 9.394756095755981e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.2089323345553233, "b": 2.2580197197676637, "fa": -0.06006031716883113, "fm": -0.058025545583950774, "fb": -0.05603112176364377, "fl": -0.05903778185425048, "fr": -0.05702339539354665, "whole": -0.0028486524026126183, "left": -0.00144904729941035, "right": -0.0013996050891101341, "delta": 1.4092134143633972e-11, "corrected": -0.0028486523875810086, "estimatedError": 9.394756095755981e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4768221429703393, "estimatedCumulativeError": 5.200491830518929e-11, "exactCap": -0.47682214297037484, "actualError": 3.552713678800501e-14 }, { "index": 46, "value": -0.0026547224562112107, "estimatedError": 8.622307439791014e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.2580197197676637, "b": 2.3071071049800045, "fa": -0.05603112176364377, "fm": -0.054075382901417425, "fb": -0.05215671902522506, "fl": -0.05504851854782387, "fr": -0.053111515211084516, "whole": -0.0026547224700069027, "left": -0.0013511326458484395, "right": -0.0013035898112250018, "delta": 1.2933461159686521e-11, "corrected": -0.0026547224562112107, "estimatedError": 8.622307439791014e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.47947686542655055, "estimatedCumulativeError": 5.2867149049168394e-11, "exactCap": -0.479476865426586, "actualError": 3.547162563677375e-14 }, { "index": 47, "value": -0.002468076320969191, "estimatedError": 7.886573049712779e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.3071071049800045, "b": 2.356194490192345, "fa": -0.05215671902522506, "fm": -0.05027357075761315, "fb": -0.04842442712981226, "fl": -0.05121080098523363, "fr": -0.049344840966957695, "whole": -0.002468076333587708, "left": -0.0012569376959967063, "right": -0.0012111386257611422, "delta": 1.1829859574569168e-11, "corrected": -0.002468076320969191, "estimatedError": 7.886573049712779e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.48194494174751973, "estimatedCumulativeError": 5.3655806354139674e-11, "exactCap": -0.48194494174755503, "actualError": 3.530509218307998e-14 }, { "index": 48, "value": -0.002288110767673645, "estimatedError": 7.189251798045416e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.356194490192345, "b": 2.405281875404685, "fa": -0.04842442712981226, "fm": -0.04660782345133072, "fb": -0.04482233923596075, "fl": -0.0475121475894158, "fr": -0.04571127851996149, "whole": -0.002288110779176448, "left": -0.0011661560879850923, "right": -0.001121954680407478, "delta": 1.0783877697068123e-11, "corrected": -0.002288110767673645, "estimatedError": 7.189251798045416e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4842330525151934, "estimatedCumulativeError": 5.437473153394421e-11, "exactCap": -0.48423305251522863, "actualError": 3.524958103184872e-14 }, { "index": 49, "value": -0.0021142589584944487, "estimatedError": 6.530533347888963e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.405281875404685, "b": 2.454369260617026, "fa": -0.04482233923596075, "fm": -0.04306659618455796, "fb": -0.041339256224487995, "fl": -0.04394083461452233, "fr": -0.0421994579287516, "whole": -0.002114258968943302, "left": -0.001078500060832391, "right": -0.0010357588983151108, "delta": 9.795800021833445e-12, "corrected": -0.0021142589584944487, "estimatedError": 6.530533347888963e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4863473114736878, "estimatedCumulativeError": 5.502778486873311e-11, "exactCap": -0.486347311473723, "actualError": 3.519406988061746e-14 }, { "index": 50, "value": -0.0019459872188715712, "estimatedError": 5.909525328575323e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.454369260617026, "b": 2.5034566458293663, "fa": -0.041339256224487995, "fm": -0.03963901960524697, "fb": -0.03796462304943095, "fl": -0.0404858297856455, "fr": -0.03879866889895933, "whole": -0.0019459872283268118, "left": -0.0009936988257335203, "right": -0.0009522883937290036, "delta": 8.864287992862985e-12, "corrected": -0.0019459872188715712, "estimatedError": 5.909525328575323e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4882932986925594, "estimatedCumulativeError": 5.561873740159064e-11, "exactCap": -0.4882932986925944, "actualError": 3.502753642692369e-14 }, { "index": 51, "value": -0.0017827920013270147, "estimatedError": 5.324593630590124e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.5034566458293663, "b": 2.552544031041707, "fa": -0.03796462304943095, "fm": -0.03631483795796188, "fb": -0.03468846866825033, "fl": -0.03713672955145712, "fr": -0.0354987998267832, "whole": -0.0017827920098463644, "left": -0.0009114970259925517, "right": -0.0008712949758669224, "delta": 7.986890445885186e-12, "corrected": -0.0017827920013270147, "estimatedError": 5.324593630590124e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4900760906938864, "estimatedCumulativeError": 5.6151196764649655e-11, "exactCap": -0.49007609069392133, "actualError": 3.4916514124461173e-14 }, { "index": 52, "value": -0.0016241970223733974, "estimatedError": 4.773590232589238e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.552544031041707, "b": 2.6016314162540475, "fa": -0.03468846866825033, "fm": -0.03308435076379095, "fb": -0.03150134943353911, "fl": -0.033883699893539, "fr": -0.03229028033998426, "whole": -0.0016241970300111418, "left": -0.0008316532842300781, "right": -0.0007925437386206782, "delta": 7.1603853488838576e-12, "corrected": -0.0016241970223733974, "estimatedError": 4.773590232589238e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4917002877162598, "estimatedCumulativeError": 5.662855578790858e-11, "exactCap": -0.49170028771629465, "actualError": 3.4861002973229915e-14 }, { "index": 53, "value": -0.0014697505651925014, "estimatedError": 4.254039539612157e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.6016314162540475, "b": 2.650718801466388, "fa": -0.03150134943353911, "fm": -0.02993835787929584, "fb": -0.028394295769233985, "fl": -0.03071742055764542, "fr": -0.02916402717200999, "whole": -0.0014697505719989646, "left": -0.0007539388335640822, "right": -0.0007158117320538231, "delta": 6.3810593094182355e-12, "corrected": -0.0014697505651925014, "estimatedError": 4.254039539612157e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4931700382814523, "estimatedCumulativeError": 5.7053959741869796e-11, "exactCap": -0.4931700382814871, "actualError": 3.480549182199866e-14 }, { "index": 54, "value": -0.0013190229383550998, "estimatedError": 3.763260681087048e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.650718801466388, "b": 2.6998061866787286, "fa": -0.028394295769233985, "fm": -0.026868107735626496, "fb": -0.02535876191478094, "fl": -0.027629032518399488, "fr": -0.026111393161053667, "whole": -0.001319022944376317, "left": -0.0006781362281418909, "right": -0.000640886710589535, "delta": 5.6448910216305714e-12, "corrected": -0.0013190229383550998, "estimatedError": 3.763260681087048e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4944890612198074, "estimatedCumulativeError": 5.74302858099785e-11, "exactCap": -0.49448906121984215, "actualError": 3.47499806707674e-14 }, { "index": 55, "value": -0.0011716040792851981, "estimatedError": 3.298461475019036e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.6998061866787286, "b": 2.748893571891069, "fa": -0.02535876191478094, "fm": -0.023865248527146568, "fb": -0.02238657849553079, "fl": -0.024610088453407074, "fr": -0.02312411913751004, "whole": -0.0011716040845627365, "left": -0.000604038127528984, "right": -0.0005675659520860604, "delta": 4.947692212528554e-12, "corrected": -0.0011716040792851981, "estimatedError": 3.298461475019036e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4956606652990926, "estimatedCumulativeError": 5.7760131957480404e-11, "exactCap": -0.4956606652991272, "actualError": 3.4638958368304884e-14 }, { "index": 56, "value": -0.001027101290203544, "estimatedError": 2.8568046366028723e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.748893571891069, "b": 2.7979809571034093, "fa": -0.02238657849553079, "fm": -0.02092178209934727, "fb": -0.019469907662807918, "fl": -0.02165250598052181, "fr": -0.020194288446191224, "whole": -0.0010271012947744315, "left": -0.0005314461489124359, "right": -0.0004956551415767888, "delta": 4.285206954904308e-12, "corrected": -0.001027101290203544, "estimatedError": 2.8568046366028723e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.49668776658929614, "estimatedCumulativeError": 5.804581242114069e-11, "exactCap": -0.49668776658933095, "actualError": 3.480549182199866e-14 }, { "index": 57, "value": -0.0008851370937466827, "estimatedError": 2.435444930217375e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.7979809571034093, "b": 2.84706834231575, "fa": -0.019469907662807918, "fm": -0.01803002027496984, "fb": -0.016601200539553287, "fl": -0.018748523399237434, "fr": -0.017314283840542465, "whole": -0.0008851370976433945, "left": -0.00046016978076338154, "right": -0.00042496731322684556, "delta": 3.653167395326062e-12, "corrected": -0.0008851370937466827, "estimatedError": 2.435444930217375e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4975729036830428, "estimatedCumulativeError": 5.828935691416243e-11, "exactCap": -0.49757290368307744, "actualError": 3.4638958368304884e-14 }, { "index": 58, "value": -0.0007453471952185844, "estimatedError": 2.031559599366406e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.84706834231575, "b": 2.8961557275280905, "fa": -0.016601200539553287, "fm": -0.015182543352453318, "fb": -0.013773156704880144, "fl": -0.015890657671075028, "fr": -0.014476746482473647, "whole": -0.0007453471984690798, "left": -0.00039002535145227186, "right": -0.0003553218439694685, "delta": 3.047339399049609e-12, "corrected": -0.0007453471952185844, "estimatedError": 2.031559599366406e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.49831825087826137, "estimatedCumulativeError": 5.849251287409907e-11, "exactCap": -0.4983182508782959, "actualError": 3.452793606584237e-14 }, { "index": 59, "value": -0.0006073785383917191, "estimatedError": 1.6423609434240706e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.8961557275280905, "b": 2.945243112740431, "fa": -0.013773156704880144, "fm": -0.012372160510076322, "fb": -0.010978685451573657, "fl": -0.013071664372231336, "fr": -0.011674536781436035, "whole": -0.0006073785410194967, "left": -0.00032083504627116507, "right": -0.00028654349228479013, "delta": 2.4635414151361057e-12, "corrected": -0.0006073785383917191, "estimatedError": 1.6423609434240706e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4989256294166531, "estimatedCumulativeError": 5.865674896844148e-11, "exactCap": -0.49892562941668755, "actualError": 3.447242491461111e-14 }, { "index": 60, "value": -0.00047088744186073834, "estimatedError": 1.2651032565286214e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.945243112740431, "b": 2.9943304979527716, "fa": -0.010978685451573657, "fm": -0.009591871850968534, "fb": -0.008210868553209726, "fl": -0.010284499353038592, "fr": -0.008900696808633948, "whole": -0.00047088744388490357, "left": -0.0002524259663480909, "right": -0.0002184614756391578, "delta": 1.897654884792932e-12, "corrected": -0.00047088744186073834, "estimatedError": 1.2651032565286214e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.49939651685851383, "estimatedCumulativeError": 5.878325929409434e-11, "exactCap": -0.49939651685854836, "actualError": 3.452793606584237e-14 }, { "index": 61, "value": -0.00033553780310976365, "estimatedError": 8.970815626799244e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.9943304979527716, "b": 3.043417883165112, "fa": -0.008210868553209726, "fm": -0.006834831827408783, "fb": -0.005462924281196723, "fl": -0.007522281841758225, "fr": -0.006148414025718177, "whole": -0.00033553780454509413, "left": -0.0001846292230117994, "right": -0.00015090858018767235, "delta": 1.3456223440198867e-12, "corrected": -0.00033553780310976365, "estimatedError": 8.970815626799244e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.49973205466162357, "estimatedCumulativeError": 5.887296745036234e-11, "exactCap": -0.49973205466165815, "actualError": 3.4583447217073626e-14 }, { "index": 62, "value": -0.00020099935764115678, "estimatedError": 5.356291401444983e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.043417883165112, "b": 3.0925052683774528, "fa": -0.005462924281196723, "fm": -0.004094313786665349, "fb": -0.0027281724159428297, "fl": -0.004778258733984896, "fr": -0.0034109860711951353, "whole": -0.0002009993584981634, "left": -0.00011727906125671663, "right": -0.00008372029643800307, "delta": 8.034437102167474e-13, "corrected": -0.00020099935764115678, "estimatedError": 5.356291401444983e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.49993305401926474, "estimatedCumulativeError": 5.892653036437678e-11, "exactCap": -0.49993305401929927, "actualError": 3.452793606584237e-14 }, { "index": 63, "value": -0.000066945980700697, "estimatedError": 1.781072305698933e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.0925052683774528, "b": 3.141592653589793, "fa": -0.0027281724159428297, "fm": -0.001363675384463294, "fb": -6.8035933285964056e-18, "fl": -0.0020457698128159675, "fr": -0.0006817863515370141, "whole": -0.00006694598098566857, "left": -0.00005021200605322519, "right": -0.000016733974665282538, "delta": 2.6716084585483996e-13, "corrected": -0.000066945980700697, "estimatedError": 1.781072305698933e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.4999999999999654, "estimatedCumulativeError": 5.894434108743376e-11, "exactCap": -0.5, "actualError": 3.4583447217073626e-14 } ], "force": { "imageField": { "potential": -0.3333333333333333, "ex": 0, "ez": -0.2222222222222222, "terms": [ { "role": "image", "distance": 1.5, "potential": -0.3333333333333333, "ex": 0, "ez": -0.2222222222222222 } ] }, "force": -0.2222222222222222, "expectedForce": -0.2222222222222222, "forceResidual": 0, "energy": -0.16666666666666666, "groundEnergy": -0.16666666666666666, "energyScope": "U(infty)=0的相互作用能；去除点源自能和与间距无关的导体自能。孤立球保持Q固定。" }, "forceScan": [ { "gap": 0.05, "d": 1.05, "force": -99.94051160023776, "energy": -4.878048780487805, "step": 0.000105, "energySamples": [ -4.899124858646408, -4.888564630288326, -4.8675770302419, -4.8571491028815 ], "negativeNumericalDerivative": -99.94051159245777, "derivativeResidual": -7.77998820922221e-9 }, { "gap": 0.13229166666666667, "d": 1.1322916666666667, "force": -14.229843245536072, "energy": -1.7725190311152486, "step": 0.00011322916666666667, "energySamples": [ -1.7757470434422675, -1.7741316496553081, -1.7709091807005448, -1.7693020913139919 ], "negativeNumericalDerivative": -14.229843245505608, "derivativeResidual": -3.0464519795714295e-11 }, { "gap": 0.21458333333333335, "d": 1.2145833333333333, "force": -5.37837758685791, "energy": -1.052160491008229, "step": 0.00012145833333333334, "energySamples": [ -1.0534684819209847, -1.0528141129136757, -1.0515076149356986, -1.0508554834300086 ], "negativeNumericalDerivative": -5.3783775868548105, "derivativeResidual": -3.099742684753437e-12 }, { "gap": 0.29687500000000006, "d": 1.296875, "force": -2.7891774344048965, "energy": -0.7332617257429286, "step": 0.0001296875, "energySamples": [ -0.733985810613174, -0.7336236076144791, -0.7329001645770687, -0.732538923696182 ], "negativeNumericalDerivative": -2.789177434403964, "derivativeResidual": -9.325873406851315e-13 }, { "gap": 0.37916666666666665, "d": 1.3791666666666667, "force": -1.6947541957458627, "energy": -0.5542618502338293, "step": 0.00013791666666666667, "energySamples": [ -0.5547296677080892, -0.5544956719953985, -0.5540282022329862, -0.5537947278027505 ], "negativeNumericalDerivative": -1.6947541957459897, "derivativeResidual": 1.270095140171179e-13 }, { "gap": 0.4614583333333333, "d": 1.4614583333333333, "force": -1.1327562691756778, "energy": -0.44019491616904327, "step": 0.00014614583333333333, "energySamples": [ -0.440526227450192, -0.4403605177765869, -0.4400294225243659, -0.43986403673949026 ], "negativeNumericalDerivative": -1.1327562691753408, "derivativeResidual": -3.3706371027619753e-13 }, { "gap": 0.5437500000000001, "d": 1.5437500000000002, "force": -0.8069183235052807, "energy": -0.36149001666243036, "step": 0.00015437500000000003, "energySamples": [ -0.3617392995678165, -0.36161462138636413, -0.36136548533298285, -0.3612410273350609 ], "negativeNumericalDerivative": -0.8069183235059714, "derivativeResidual": 6.906697436193099e-13 }, { "gap": 0.6260416666666667, "d": 1.6260416666666666, "force": -0.6016195864905153, "energy": -0.30413412526128275, "step": 0.00016260416666666666, "energySamples": [ -0.3043298833191302, -0.3042319776945204, -0.3040363259775479, -0.3039385798014905 ], "negativeNumericalDerivative": -0.6016195864905721, "derivativeResidual": 5.684341886080802e-14 }, { "gap": 0.7083333333333334, "d": 1.7083333333333335, "force": -0.46418705595708515, "energy": -0.2606334841628959, "step": 0.00017083333333333336, "energySamples": [ -0.2607921620942327, -0.2607128029518282, -0.26055420569785354, -0.26047496752714744 ], "negativeNumericalDerivative": -0.46418705595711224, "derivativeResidual": 2.708944180085382e-14 }, { "gap": 0.7906250000000001, "d": 1.7906250000000001, "force": -0.36784139148811923, "energy": -0.2266198673034448, "step": 0.00017906250000000002, "energySamples": [ -0.2267516639336303, -0.2266857497569206, -0.22655401655129442, -0.22648819747858073 ], "negativeNumericalDerivative": -0.3678413914880436, "derivativeResidual": -7.560618797697316e-14 }, { "gap": 0.8729166666666667, "d": 1.8729166666666668, "force": -0.2978014620463693, "energy": -0.199376601978882, "step": 0.0001872916666666667, "energySamples": [ -0.199488204723695, -0.19943239052835993, -0.19932083905842568, -0.19926510175017004 ], "negativeNumericalDerivative": -0.297801462046277, "derivativeResidual": -9.231504449758177e-14 }, { "gap": 0.9552083333333334, "d": 1.9552083333333334, "force": -0.24536952874495707, "energy": -0.1771266051618106, "step": 0.00019552083333333335, "energySamples": [ -0.17722259727015774, -0.17717459061404336, -0.17707864090013367, -0.17703069781569783 ], "negativeNumericalDerivative": -0.24536952874485168, "derivativeResidual": -1.0538792061254298e-13 }, { "gap": 1.0375, "d": 2.0375, "force": -0.20515817798524574, "energy": -0.15865932867271554, "step": 0.00020375000000000002, "energySamples": [ -0.15874296633662371, -0.15870113857627355, -0.15861753661514405, -0.15857576239276203 ], "negativeNumericalDerivative": -0.20515817798537456, "derivativeResidual": 1.288136264321338e-13 }, { "gap": 1.1197916666666667, "d": 2.119791666666667, "force": -0.17368708671440797, "energy": -0.14312225802694412, "step": 0.0002119791666666667, "energySamples": [ -0.14319592464866546, -0.14315908370283548, -0.1430854476120518, -0.14304865244922563 ], "negativeNumericalDerivative": -0.1736870867143575, "derivativeResidual": -5.0459636469213365e-14 }, { "gap": 1.2020833333333334, "d": 2.2020833333333334, "force": -0.14862755658806653, "energy": -0.12989809990201262, "step": 0.00022020833333333335, "energySamples": [ -0.12996358440480588, -0.12993083553971896, -0.1298653774841654, -0.12983266827866138 ], "negativeNumericalDerivative": -0.14862755658803017, "derivativeResidual": -3.6359804056473877e-14 }, { "gap": 1.284375, "d": 2.284375, "force": -0.128374343635469, "energy": -0.11852921907301818, "step": 0.0002284375, "energySamples": [ -0.11858789326662297, -0.11855855037741135, -0.11849989934702385, -0.11847059119301338 ], "negativeNumericalDerivative": -0.1283743436353564, "derivativeResidual": -1.126043702726065e-13 }, { "gap": 1.3666666666666667, "d": 2.3666666666666667, "force": -0.11179223835294866, "energy": -0.10866940352571842, "step": 0.00023666666666666668, "energySamples": [ -0.10872233900062508, -0.10869586614172554, -0.10864295114705684, -0.1086165090001978 ], "negativeNumericalDerivative": -0.1117922383529063, "derivativeResidual": -4.235500838944972e-14 }, { "gap": 1.4489583333333336, "d": 2.4489583333333336, "force": -0.09806041045485549, "energy": -0.10005208875019783, "step": 0.00024489583333333335, "energySamples": [ -0.10010013618161412, -0.10007610790021208, -0.10002807872672723, -0.10000407782495946 ], "negativeNumericalDerivative": -0.09806041045483146, "derivativeResidual": -2.4022450695326825e-14 }, { "gap": 1.5312500000000002, "d": 2.53125, "force": -0.0865736856386587, "energy": -0.09246884594545782, "step": 0.000253125, "energySamples": [ -0.09251269027005854, -0.09249076400798485, -0.09244693607820743, -0.09242503440196667 ], "negativeNumericalDerivative": -0.08657368563869346, "derivativeResidual": 3.47499806707674e-14 }, { "gap": 1.6135416666666667, "d": 2.6135416666666664, "force": -0.07687815023555528, "energy": -0.08575446716941962, "step": 0.0002613541666666667, "energySamples": [ -0.0857946668365379, -0.08577456329801147, -0.08573437844696757, -0.08571429712686314 ], "negativeNumericalDerivative": -0.07687815023560984, "derivativeResidual": 5.4567461660326444e-14 }, { "gap": 1.6958333333333333, "d": 2.6958333333333333, "force": -0.06862809561832549, "energy": -0.07977640446637065, "step": 0.0002695833333333333, "energySamples": [ -0.07981341991455662, -0.07979490882323945, -0.07975790684055328, -0.07973941594239263 ], "negativeNumericalDerivative": -0.06862809561834425, "derivativeResidual": 1.8762769116165146e-14 }, { "gap": 1.7781250000000002, "d": 2.778125, "force": -0.061556591112395184, "energy": -0.07442715079202407, "step": 0.0002778125, "energySamples": [ -0.07446136547422443, -0.07444425505729821, -0.07441005267534154, -0.07439296070419213 ], "negativeNumericalDerivative": -0.06155659111243006, "derivativeResidual": 3.487488076103773e-14 }, { "gap": 1.8604166666666668, "d": 2.8604166666666666, "force": -0.0554549723321485, "energy": -0.06961865054640366, "step": 0.00028604166666666665, "energySamples": [ -0.06965038669989654, -0.06963451580067001, -0.0696027909343242, -0.06958693696166009 ], "negativeNumericalDerivative": -0.05545497233213108, "derivativeResidual": -1.742356259271105e-14 }, { "gap": 1.9427083333333335, "d": 2.9427083333333335, "force": -0.050158288756823176, "energy": -0.06527813685317731, "step": 0.00029427083333333334, "energySamples": [ -0.06530766749710157, -0.0652928995744528, -0.06526337933074895, -0.06524862700464319 ], "negativeNumericalDerivative": -0.05015828875679355, "derivativeResidual": -2.9629076969683865e-14 }, { "gap": 2.0250000000000004, "d": 3.0250000000000004, "force": -0.04553481269612888, "energy": -0.06134498888122075, "step": 0.00030250000000000003, "energySamples": [ -0.06137254706252576, -0.06135876556658194, -0.06133121700413042, -0.06131744993300059 ], "negativeNumericalDerivative": -0.04553481269613579, "derivativeResidual": 6.9111383282915995e-15 }, { "gap": 2.1072916666666663, "d": 3.1072916666666663, "force": -0.041478365364745015, "energy": -0.05776832969168035, "step": 0.0003107291666666667, "energySamples": [ -0.05779411569472381, -0.05778122046103931, -0.057755443384522334, -0.05774256153744191 ], "negativeNumericalDerivative": -0.04147836536477861, "derivativeResidual": 3.35981242827188e-14 }, { "gap": 2.189583333333333, "d": 3.189583333333333, "force": -0.0379026285682583, "energy": -0.054505169238077356, "step": 0.0003189583333333333, "energySamples": [ -0.05452935626707282, -0.05451726067461799, -0.05449308195549064, -0.05448099882489878 ], "negativeNumericalDerivative": -0.03790262856819767, "derivativeResidual": -6.063205493234136e-14 }, { "gap": 2.271875, "d": 3.271875, "force": -0.03473687659427578, "energy": -0.05151895384324352, "step": 0.0003271875, "energySamples": [ -0.05154169254542746, -0.05153032125439232, -0.05150759031016614, -0.051496230653346305 ], "negativeNumericalDerivative": -0.03473687659426968, "derivativeResidual": -6.099287741534454e-15 }, { "gap": 2.3541666666666665, "d": 3.3541666666666665, "force": -0.03192273766451238, "energy": -0.048778422322903005, "step": 0.00033541666666666664, "energySamples": [ -0.04879984442178398, -0.04878913155647137, -0.04876771671939296, -0.04875701474425636 ], "negativeNumericalDerivative": -0.03192273766451398, "derivativeResidual": 1.5959455978986625e-15 }, { "gap": 2.4364583333333334, "d": 3.4364583333333334, "force": -0.029411711065213723, "energy": -0.046256695952870366, "step": 0.00034364583333333334, "energySamples": [ -0.04627691719125131, -0.046266804868183166, -0.04624659044374222, -0.04623648833922895 ], "negativeNumericalDerivative": -0.029411711065217453, "derivativeResidual": 3.729655473350135e-15 }, { "gap": 2.51875, "d": 3.51875, "force": -0.027163245322874133, "energy": -0.043930548548404266, "step": 0.000351875, "energySamples": [ -0.04394967109092278, -0.04394010821726327, -0.04392099208287831, -0.04391143881921883 ], "negativeNumericalDerivative": -0.027163245322847727, "derivativeResidual": -2.6405960751318958e-14 }, { "gap": 2.6010416666666667, "d": 3.6010416666666667, "force": -0.025143237369946225, "energy": -0.04177981655867956, "step": 0.00036010416666666667, "energySamples": [ -0.04179793096735516, -0.041788872252889554, -0.04177076388335073, -0.04176171422552942 ], "negativeNumericalDerivative": -0.02514323736993887, "derivativeResidual": -7.355227538141662e-15 }, { "gap": 2.683333333333333, "d": 3.683333333333333, "force": -0.02332285074217691, "energy": -0.03978691894520457, "step": 0.0003683333333333333, "energySamples": [ -0.039804105814857056, -0.03979551095408095, -0.03977832978693755, -0.039769743477990206 ], "negativeNumericalDerivative": -0.023322850742164645, "derivativeResidual": -1.2264494975156026e-14 }, { "gap": 2.7656249999999996, "d": 3.7656249999999996, "force": -0.02167757777727854, "energy": -0.037936463832546084, "step": 0.0003765625, "energySamples": [ -0.03795279515318451, -0.037944628143944184, -0.03792830221777607, -0.03792014329842069 ], "negativeNumericalDerivative": -0.021677577777278946, "derivativeResidual": 4.0592529337857286e-16 }, { "gap": 2.847916666666667, "d": 3.847916666666667, "force": -0.020186490041648186, "energy": -0.03621492425830923, "step": 0.0003847916666666667, "energySamples": [ -0.03623046455677048, -0.03622269312930737, -0.03620715794263134, -0.03619939418112957 ], "negativeNumericalDerivative": -0.020186490041657647, "derivativeResidual": 9.461181837977506e-15 }, { "gap": 2.9302083333333333, "d": 3.9302083333333333, "force": -0.018831635133948244, "energy": -0.03461036933575356, "step": 0.00039302083333333333, "energySamples": [ -0.03462517663765174, -0.03461777177351452, -0.03460296932328742, -0.03459557173503533 ], "negativeNumericalDerivative": -0.018831635133927306, "derivativeResidual": -2.0938112355040062e-14 }, { "gap": 3.0125, "d": 4.0125, "force": -0.01759754818271078, "energy": -0.03311224014652166, "step": 0.00040125, "energySamples": [ -0.03312636679100222, -0.03311930231557537, -0.03310518028281771, -0.033098122723440725 ], "negativeNumericalDerivative": -0.017597548182709602, "derivativeResidual": -1.1796119636642288e-15 }, { "gap": 3.0947916666666666, "d": 4.094791666666667, "force": -0.016470853853221192, "energy": -0.031711161964278006, "step": 0.00040947916666666666, "energySamples": [ -0.03172465529747465, -0.03171790753317052, -0.031704418589827026, -0.031697677408848 ], "negativeNumericalDerivative": -0.016470853853226535, "derivativeResidual": 5.342948306008566e-15 }, { "gap": 3.177083333333333, "d": 4.177083333333333, "force": -0.01543994025793065, "energy": -0.03039878615958044, "step": 0.0004177083333333333, "energySamples": [ -0.03041168912755326, -0.030405236597276057, -0.030392337813545313, -0.030385891558250135 ], "negativeNumericalDerivative": -0.015439940257920037, "derivativeResidual": -1.0613038226026106e-14 }, { "gap": 3.259375, "d": 4.259375, "force": -0.014494690351017516, "energy": -0.029167656487040613, "step": 0.00042593750000000005, "energySamples": [ -0.029180008144972375, -0.029173831317463268, -0.029161483652828633, -0.029155312813952006 ], "negativeNumericalDerivative": -0.01449469035103155, "derivativeResidual": 1.403391292065237e-14 }, { "gap": 3.3416666666666663, "d": 4.341666666666667, "force": -0.01362625955427653, "energy": -0.028011095506164388, "step": 0.0004341666666666667, "energySamples": [ -0.0280229314574414, -0.02801701252768954, -0.028005180392032012, -0.02799926718445894 ], "negativeNumericalDerivative": -0.013626259554272803, "derivativeResidual": -3.7279207498741584e-15 }, { "gap": 3.4239583333333337, "d": 4.423958333333333, "force": -0.012826890774828714, "energy": -0.026923107709549914, "step": 0.0004423958333333333, "energySamples": [ -0.026934460485857688, -0.02692878318501102, -0.026917434058679246, -0.026911762231604346 ], "negativeNumericalDerivative": -0.012826890774828388, "derivativeResidual": -3.2612801348363973e-16 }, { "gap": 3.50625, "d": 4.50625, "force": -0.01208975982757313, "energy": -0.02589829658000854, "step": 0.00045062499999999996, "energySamples": [ -0.025909195971582148, -0.025903745401786558, -0.025892849505489007, -0.025887404177469348 ], "negativeNumericalDerivative": -0.012089759827574077, "derivativeResidual": 9.471590178833367e-16 }, { "gap": 3.5885416666666665, "d": 4.588541666666666, "force": -0.011408845706853566, "energy": -0.02493179331175428, "step": 0.00045885416666666665, "energySamples": [ -0.024942266655326884, -0.024937029145721223, -0.02492655915270056, -0.02492132666783498 ], "negativeNumericalDerivative": -0.011408845706855776, "derivativeResidual": 2.2100377083944522e-15 }, { "gap": 3.6708333333333334, "d": 4.670833333333333, "force": -0.010778821265240945, "energy": -0.024019195340276103, "step": 0.00046708333333333335, "energySamples": [ -0.024029267770981872, -0.024024230751719812, -0.024014161535956535, -0.02400912933806729 ], "negativeNumericalDerivative": -0.010778821265231301, "derivativeResidual": -9.64332780295507e-15 }, { "gap": 3.753125, "d": 4.753125, "force": -0.01019496072863188, "energy": -0.023156513153758794, "step": 0.0004753125, "energySamples": [ -0.02316620782620208, -0.023161359717894438, -0.02315166813313019, -0.02314682465534401 ], "negativeNumericalDerivative": -0.010194960728627883, "derivativeResidual": -3.9968028886505635e-15 }, { "gap": 3.8354166666666667, "d": 4.835416666666667, "force": -0.009653061162659087, "energy": -0.022340124123436163, "step": 0.00048354166666666673, "energySamples": [ -0.022349462406288406, -0.022344792522684457, -0.022335457207905925, -0.02233079177545647 ], "negativeNumericalDerivative": -0.009653061162657692, "derivativeResidual": -1.394717674685353e-15 }, { "gap": 3.917708333333333, "d": 4.917708333333334, "force": -0.009149375548190343, "energy": -0.021566732304479762, "step": 0.0004917708333333334, "energySamples": [ -0.021575733952268607, -0.02157123241434387, -0.02156223362206431, -0.021557736366485874 ], "negativeNumericalDerivative": -0.009149375548189165, "derivativeResidual": -1.177877240188252e-15 }, { "gap": 4.000000000000001, "d": 5.000000000000001, "force": -0.008680555555555552, "energy": -0.020833333333333325, "step": 0.0005000000000000001, "energySamples": [ -0.02084201663851535, -0.020837674298419723, -0.020828993742668254, -0.02082465552583691 ], "negativeNumericalDerivative": -0.008680555555554019, "derivativeResidual": -1.5334955527634975e-15 } ], "far": [ { "radius": 4, "theta": 0, "x": 0, "z": 4, "direct": { "potential": 0.35714285714285715, "ex": 0, "ez": 0.20918367346938777, "terms": [ { "role": "real", "distance": 2, "potential": 0.5, "ex": 0, "ez": 0.25 }, { "role": "image", "distance": 3.5, "potential": -0.14285714285714285, "ex": 0, "ez": -0.04081632653061224 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.35714285714285715, "error": -0.23214285714285715, "absoluteError": 0.23214285714285715, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 1, "moment": 1.75, "term": 0.109375, "partial": 0.234375, "direct": 0.35714285714285715, "error": -0.12276785714285715, "absoluteError": 0.12276785714285715, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015625 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 1, "moment": 3.875, "term": 0.060546875, "partial": 0.294921875, "direct": 0.35714285714285715, "error": -0.06222098214285715, "absoluteError": 0.06222098214285715, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001953125 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 1, "moment": 7.9375, "term": 0.031005859375, "partial": 0.325927734375, "direct": 0.35714285714285715, "error": -0.03121512276785715, "absoluteError": 0.03121512276785715, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000244140625 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 1, "moment": 15.96875, "term": 0.015594482421875, "partial": 0.341522216796875, "direct": 0.35714285714285715, "error": -0.01562064034598215, "absoluteError": 0.01562064034598215, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000030517578125 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 1, "moment": 31.984375, "term": 0.007808685302734375, "partial": 0.3493309020996094, "direct": 0.35714285714285715, "error": -0.007811955043247776, "absoluteError": 0.007811955043247776, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0078125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000003814697265625 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 1, "moment": 63.9921875, "term": 0.003905773162841797, "partial": 0.35323667526245117, "direct": 0.35714285714285715, "error": -0.003906181880405979, "absoluteError": 0.003906181880405979, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00390625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.76837158203125e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 1, "moment": 127.99609375, "term": 0.0019530653953552246, "partial": 0.3551897406578064, "direct": 0.35714285714285715, "error": -0.0019531164850507543, "absoluteError": 0.0019531164850507543, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001953125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.960464477539063e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 1, "moment": 255.998046875, "term": 0.0009765550494194031, "partial": 0.3561662957072258, "direct": 0.35714285714285715, "error": -0.0009765614356313512, "absoluteError": 0.0009765614356313512, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.450580596923828e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 1, "moment": 511.9990234375, "term": 0.0004882803186774254, "partial": 0.3566545760259032, "direct": 0.35714285714285715, "error": -0.00048828111695392584, "absoluteError": 0.00048828111695392584, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00048828125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -9.313225746154785e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 1, "moment": 1023.99951171875, "term": 0.00024414050858467817, "partial": 0.3568987165344879, "direct": 0.35714285714285715, "error": -0.00024414060836924767, "absoluteError": 0.00024414060836924767, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000244140625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.1641532182693481e-10 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 1, "moment": 2047.999755859375, "term": 0.00012207029794808477, "partial": 0.357020786832436, "direct": 0.35714285714285715, "error": -0.0001220703104211629, "absoluteError": 0.0001220703104211629, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.4551915228366852e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 1, "moment": 4095.9998779296875, "term": 0.000061035154431010596, "partial": 0.357081821986867, "direct": 0.35714285714285715, "error": -0.0000610351559901523, "absoluteError": 0.0000610351559901523, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00006103515625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.8189894035458565e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.04908738521234052, "x": 0.19627069730967206, "z": 3.9951818248206896, "direct": { "potential": 0.35597073475269636, "ex": 0.022070065228904524, "ez": 0.206869958197551, "terms": [ { "role": "real", "distance": 2.0048123854159625, "potential": 0.4987997915787606, "ex": 0.024357586608545412, "ez": 0.2476060602219645 }, { "role": "image", "distance": 3.5006882430715405, "potential": -0.14282905682606423, "ex": -0.002287521379640888, "ez": -0.040736102024413495 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.35597073475269636, "error": -0.23097073475269636, "absoluteError": 0.23097073475269636, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9987954562051724, "moment": 1.75, "term": 0.10924325302244073, "partial": 0.23424325302244073, "direct": 0.35597073475269636, "error": -0.12172748173025563, "absoluteError": 0.12172748173025563, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12484943202564655 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015606179003205819 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 3.875, "term": 0.060328212685798, "partial": 0.2945714657082387, "direct": 0.35597073475269636, "error": -0.06139926904445764, "absoluteError": 0.06139926904445764, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06227428406275923 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019460713769612259 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.9927836148049279, "moment": 7.9375, "term": 0.030782109150445765, "partial": 0.3253535748586845, "direct": 0.35597073475269636, "error": -0.03061715989401187, "absoluteError": 0.03061715989401187, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.031024487962653998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00024237881220823436 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 15.96875, "term": 0.015407148669529743, "partial": 0.34076072352821424, "direct": 0.35597073475269636, "error": -0.015210011224482123, "absoluteError": 0.015210011224482123, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015437299645399664 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00003015097586992122 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.9820078944232723, "moment": 31.984375, "term": 0.007668190612352136, "partial": 0.34842891414056637, "direct": 0.35597073475269636, "error": -0.00754182061212999, "absoluteError": 0.00754182061212999, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.007671936675181815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000037460628296786205 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 63.9921875, "term": 0.003807568593219541, "partial": 0.35223648273378594, "direct": 0.35597073475269636, "error": -0.0037342520189104222, "absoluteError": 0.0037342520189104222, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0038080334410517005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.648478321596314e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.966546082686236, "moment": 127.99609375, "term": 0.001887727707110637, "partial": 0.35412421044089654, "direct": 0.35597073475269636, "error": -0.0018465243117998242, "absoluteError": 0.0018465243117998242, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0018877853177465547 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.761063591755843e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 255.998046875, "term": 0.0009346524891855369, "partial": 0.3550588629300821, "direct": 0.35597073475269636, "error": -0.000911871822614263, "absoluteError": 0.000911871822614263, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009346596200725309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.13088699396157e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.9465097121190144, "moment": 511.9990234375, "term": 0.00046216206386475047, "partial": 0.35552102499394683, "direct": 0.35597073475269636, "error": -0.000449709758749528, "absoluteError": 0.000449709758749528, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0004621629453706125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -8.815058619892358e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 1023.99951171875, "term": 0.00022822741402575585, "partial": 0.3557492524079726, "direct": 0.35597073475269636, "error": -0.00022148234472374462, "absoluteError": 0.00022148234472374462, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00022822752285311926 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.0882736342102016e-10 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.9220431656352109, "moment": 2047.999755859375, "term": 0.00011255408395008548, "partial": 0.35586180649192267, "direct": 0.35597073475269636, "error": -0.00010892826077368856, "absoluteError": 0.00010892826077368856, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00011255409736757946 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.3417493983218606e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 4095.9998779296875, "term": 0.000055432273679328685, "partial": 0.355917238765602, "direct": 0.35597073475269636, "error": -0.000053495987094365205, "absoluteError": 0.000053495987094365205, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000055432275331339224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.6520105401080615e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.09817477042468103, "x": 0.3920685613182424, "z": 3.9807389066887877, "direct": { "potential": 0.3525082236868365, "ex": 0.04306450736650551, "ez": 0.20011129295633234, "terms": [ { "role": "real", "distance": 2.019169228481073, "potential": 0.4952531892298366, "ex": 0.047625973036706036, "ez": 0.2406074525474214 }, { "role": "image", "distance": 3.502750504005561, "potential": -0.1427449655430001, "ex": -0.004561465670200531, "ez": -0.04049615959108907 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.3525082236868365, "error": -0.22750822368683649, "absoluteError": 0.22750822368683649, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9951847266721969, "moment": 1.75, "term": 0.10884832947977154, "partial": 0.23384832947977152, "direct": 0.3525082236868365, "error": -0.11865989420706496, "absoluteError": 0.11865989420706496, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12439809083402462 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015549761354253077 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9855889603024228, "moment": 3.875, "term": 0.05967433158081076, "partial": 0.2935226610605823, "direct": 0.3525082236868365, "error": -0.05898556262625421, "absoluteError": 0.05898556262625421, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.061599310018901426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019249784380906696 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.9712819823347044, "moment": 7.9375, "term": 0.03011543255774108, "partial": 0.32363809361832335, "direct": 0.3525082236868365, "error": -0.028870130068513133, "absoluteError": 0.028870130068513133, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.030352561947959513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0002371293902184337 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.9523670194681196, "moment": 15.96875, "term": 0.014851670744269078, "partial": 0.3384897643625924, "direct": 0.3525082236868365, "error": -0.01401845932424406, "absoluteError": 0.01401845932424406, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.01488073467918937 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000029063934920291737 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.9289804156620282, "moment": 31.984375, "term": 0.00725411571830815, "partial": 0.3457438800809006, "direct": 0.3525082236868365, "error": -0.006764343605935863, "absoluteError": 0.006764343605935863, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.007257659497359595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000035437790514451147 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.9012905390247057, "moment": 63.9921875, "term": 0.0035202363992459127, "partial": 0.3492641164801465, "direct": 0.3525082236868365, "error": -0.0032441072066899945, "absoluteError": 0.0032441072066899945, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0035206661680652566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.297688193439034e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.8694964327911193, "moment": 127.99609375, "term": 0.001698183394269145, "partial": 0.3509622998744157, "direct": 0.3525082236868365, "error": -0.001545923812420802, "absoluteError": 0.001545923812420802, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001698235220295155 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.1826026009983976e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.8338262217465331, "moment": 255.998046875, "term": 0.0008142772071848798, "partial": 0.35177657708160054, "direct": 0.3525082236868365, "error": -0.0007316466052359472, "absoluteError": 0.0007316466052359472, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0008142834196743487 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.212489468951025e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.794535287505214, "moment": 511.9990234375, "term": 0.0003879559433835057, "partial": 0.35216453302498407, "direct": 0.3525082236868365, "error": -0.0003436906618524138, "absoluteError": 0.0003436906618524138, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00038795668335215525 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -7.399686495822053e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.7519042279899746, "moment": 1023.99951171875, "term": 0.0001835702806284422, "partial": 0.3523481033056125, "direct": 0.3525082236868365, "error": -0.00016012038122398264, "absoluteError": 0.00016012038122398264, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.0001835703681616149 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -8.753317268448586e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.706236618261925, "moment": 2047.999755859375, "term": 0.00008621051441308098, "partial": 0.35243431382002555, "direct": 0.3525082236868365, "error": -0.00007390986681093947, "absoluteError": 0.00007390986681093947, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00008621052469017639 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.0277095400116013e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.6578565915050633, "moment": 4095.9998779296875, "term": 0.00004015237865596979, "partial": 0.35247446619868156, "direct": 0.3525082236868365, "error": -0.00003375748815492852, "absoluteError": 0.00003375748815492852, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00004015237985260396 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.1966341690005052e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.14726215563702155, "x": 0.586921897821447, "z": 3.956706039859124, "direct": { "potential": 0.3469103694906561, "ex": 0.062037804754918484, "ez": 0.18942397711396927, "terms": [ { "role": "real", "distance": 2.0428352455750085, "potential": 0.48951573660485004, "ex": 0.06884624950354042, "ez": 0.22952265493118085 }, { "role": "image", "distance": 3.506179396457186, "potential": -0.14260536711419394, "ex": -0.006808444748621933, "ez": -0.04009867781721157 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.3469103694906561, "error": -0.22191036949065612, "absoluteError": 0.22191036949065612, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.989176509964781, "moment": 1.75, "term": 0.10819118077739792, "partial": 0.23319118077739792, "direct": 0.3469103694906561, "error": -0.1137191887132582, "absoluteError": 0.1137191887132582, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12364706374559763 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015455882968199703 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 3.875, "term": 0.058591528917527065, "partial": 0.291782709694925, "direct": 0.3469103694906561, "error": -0.05512765979573114, "absoluteError": 0.05512765979573114, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06048157823744729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0018900493199202279 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.9359344994389449, "moment": 7.9375, "term": 0.029019453473814943, "partial": 0.32080216316873994, "direct": 0.3469103694906561, "error": -0.026108206321916183, "absoluteError": 0.026108206321916183, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.02924795310746703 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00022849963365208616 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 15.96875, "term": 0.013947374461752985, "partial": 0.3347495376304929, "direct": 0.3469103694906561, "error": -0.012160831860163202, "absoluteError": 0.012160831860163202, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.013974668736629213 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000027294274876228932 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.843709698872081, "moment": 31.984375, "term": 0.006588263525356864, "partial": 0.3413378011558498, "direct": 0.3469103694906561, "error": -0.005572568334806349, "absoluteError": 0.005572568334806349, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.006591482022438133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000032184970812686196 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 63.9921875, "term": 0.003065030735511151, "partial": 0.34440283189136095, "direct": 0.3469103694906561, "error": -0.002507537599295173, "absoluteError": 0.002507537599295173, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00306540493044895 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.741949377989441e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.7184273953711477, "moment": 127.99609375, "term": 0.001403135684974575, "partial": 0.3458059675763355, "direct": 0.3469103694906561, "error": -0.0011044019143205963, "absoluteError": 0.0011044019143205963, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001403178506584273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -4.2821609698006376e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.645820864860035, "moment": 255.998046875, "term": 0.0006306796265994731, "partial": 0.346436647202935, "direct": 0.3469103694906561, "error": -0.00047372228772113445, "absoluteError": 0.00047372228772113445, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0006306844383398779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -4.811740404814742e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.568078325870053, "moment": 511.9990234375, "term": 0.0002773814659895678, "partial": 0.34671402866892453, "direct": 0.3469103694906561, "error": -0.00019634082173158873, "absoluteError": 0.00019634082173158873, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00027738199505373683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -5.290641690325486e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 1023.99951171875, "term": 0.00011875671085049533, "partial": 0.346832785379775, "direct": 0.3469103694906561, "error": -0.00007758411088110151, "absoluteError": 0.00007758411088110151, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00011875676747813485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -5.662763952166312e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.4021488268732769, "moment": 2047.999755859375, "term": 0.00004909042711589367, "partial": 0.34688187580689095, "direct": 0.3469103694906561, "error": -0.000028493683765173916, "absoluteError": 0.000028493683765173916, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004909043296792931 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.852035637847103e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 4095.9998779296875, "term": 0.000019320714068173424, "partial": 0.34690119652095913, "direct": 0.3469103694906561, "error": -0.000009172969696991107, "absoluteError": 0.000009172969696991107, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001932071464397559 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.758021665804264e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.19634954084936207, "x": 0.780361288064513, "z": 3.9231411216129217, "direct": { "potential": 0.3394153335525354, "ex": 0.07827516912533193, "ez": 0.17557384474346313, "terms": [ { "role": "real", "distance": 2.075436222471872, "potential": 0.48182641758511224, "ex": 0.08729061239978811, "ez": 0.2151210840470718 }, { "role": "image", "distance": 3.510962671175397, "potential": -0.14241108403257685, "ex": -0.009015443274456183, "ez": -0.039547239303608685 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.3394153335525354, "error": -0.2144153335525354, "absoluteError": 0.2144153335525354, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9807852804032304, "moment": 1.75, "term": 0.10727339004410333, "partial": 0.23227339004410333, "direct": 0.3394153335525354, "error": -0.10714194350843206, "absoluteError": 0.10714194350843206, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1225981600504038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015324770006300475 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.942909649383465, "moment": 3.875, "term": 0.05709023267751448, "partial": 0.2893636227216178, "direct": 0.3394153335525354, "error": -0.050051710830917584, "absoluteError": 0.050051710830917584, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05893185308646656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00184162040895208 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.8874629878403022, "moment": 7.9375, "term": 0.027516552601493743, "partial": 0.3168801753231115, "direct": 0.3394153335525354, "error": -0.02253515822942387, "absoluteError": 0.02253515822942387, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.027733218370009444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00021666576851569878 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 15.96875, "term": 0.012725664903539066, "partial": 0.3296058402266506, "direct": 0.3394153335525354, "error": -0.009809493325884766, "absoluteError": 0.009809493325884766, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.012750568357362038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00002490345382297273 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.73067124627282, "moment": 31.984375, "term": 0.0057055818219011786, "partial": 0.3353114220485518, "direct": 0.3394153335525354, "error": -0.004103911503983593, "absoluteError": 0.004103911503983593, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.005708369111506406 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000027872896052277374 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 63.9921875, "term": 0.0024754567419142805, "partial": 0.3377868787904661, "direct": 0.3394153335525354, "error": -0.001628454762069298, "absoluteError": 0.001628454762069298, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0024757589585840296 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.0221666974902706e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.5281402859064391, "moment": 127.99609375, "term": 0.0010314925162968809, "partial": 0.33881837130676296, "direct": 0.3394153335525354, "error": -0.0005969622457724366, "absoluteError": 0.0005969622457724366, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001031523995911014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.147961413302655e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 255.998046875, "term": 0.0004068967030095573, "partial": 0.33922526800977254, "direct": 0.3394153335525354, "error": -0.0001900655427628517, "absoluteError": 0.0001900655427628517, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00040689980740872273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -3.1043991654107875e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.3024539676839803, "moment": 511.9990234375, "term": 0.00014768231972598562, "partial": 0.3393729503294985, "direct": 0.3394153335525354, "error": -0.00004238322303690145, "absoluteError": 0.00004238322303690145, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001476826014081935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.816822078861113e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 1023.99951171875, "term": 0.00004605019692575477, "partial": 0.33941900052642426, "direct": 0.3394153335525354, "error": 0.0000036669738888717163, "absoluteError": 0.0000036669738888717163, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004605021888421028 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.195845550737871e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.07821867068308724, "moment": 2047.999755859375, "term": 0.000009548176435387583, "partial": 0.33942854870285966, "direct": 0.3394153335525354, "error": 0.000013215150324263902, "absoluteError": 0.000013215150324263902, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000009548177573619048 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.138231465055829e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 4095.9998779296875, "term": -0.0000015786594291554173, "partial": 0.3394269700434305, "direct": 0.3394153335525354, "error": 0.000011636490895083895, "absoluteError": 0.000011636490895083895, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001578659476203136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.704771865019608e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.2454369260617026, "x": 0.9719207196130555, "z": 3.880125012778176, "direct": { "potential": 0.3303187090028087, "ex": 0.09134479998486189, "ez": 0.1594622395169575, "terms": [ { "role": "real", "distance": 2.116482919583169, "potential": 0.472481960873535, "ex": 0.10251479242241365, "ez": 0.1983089994108543 }, { "role": "image", "distance": 3.5170833068356258, "potential": -0.1421632518707263, "ex": -0.011169992437551755, "ez": -0.03884675989389679 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.3303187090028087, "error": -0.20531870900280869, "absoluteError": 0.20531870900280869, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.970031253194544, "moment": 1.75, "term": 0.10609716831815325, "partial": 0.23109716831815325, "direct": 0.3303187090028087, "error": -0.09922154068465544, "absoluteError": 0.09922154068465544, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.121253906649318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.01515673833116475 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 3.875, "term": 0.05518490116425635, "partial": 0.2862820694824096, "direct": 0.3303187090028087, "error": -0.0440366395203991, "absoluteError": 0.0440366395203991, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05696505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017801581020727856 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.8268561732948031, "moment": 7.9375, "term": 0.025637386232529296, "partial": 0.3119194557149389, "direct": 0.3303187090028087, "error": -0.018399253287869788, "absoluteError": 0.018399253287869788, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.025839255415462597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00020186918293330154 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 15.96875, "term": 0.01122885176620281, "partial": 0.3231483074811417, "direct": 0.3303187090028087, "error": -0.00717040152166698, "absoluteError": 0.00717040152166698, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.011250826035803988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000021974269601179665 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.5957678730232003, "moment": 31.984375, "term": 0.004652163833917583, "partial": 0.3278004713150593, "direct": 0.3303187090028087, "error": -0.0025182376877493917, "absoluteError": 0.0025182376877493917, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.004654436507993753 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000022726740761688245 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 63.9921875, "term": 0.0017945619585907437, "partial": 0.32959503327365003, "direct": 0.3303187090028087, "error": -0.0007236757291586571, "absoluteError": 0.0007236757291586571, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0017947810480741513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -2.1908948340748917e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.3170599751888516, "moment": 127.99609375, "term": 0.0006192388657935322, "partial": 0.33021427213944354, "direct": 0.3303187090028087, "error": -0.00010443686336514268, "absoluteError": 0.00010443686336514268, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006192577640407258 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.8898247193625664e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 255.998046875, "term": 0.0001705460179074426, "partial": 0.330384818157351, "direct": 0.3303187090028087, "error": 0.00006610915454230426, "absoluteError": 0.00006610915454230426, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017054731908022611 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3011727835100259e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.038159342705236465, "moment": 511.9990234375, "term": 0.00001863245601663395, "partial": 0.3304034506133676, "direct": 0.3303187090028087, "error": 0.00008474161055893603, "absoluteError": 0.00008474161055893603, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000018632491555291243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.5538657293875204e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 1023.99951171875, "term": -0.000021202742505950446, "partial": 0.3303822478708617, "direct": 0.3303187090028087, "error": 0.00006353886805299247, "absoluteError": 0.00006353886805299247, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002120275261621075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.0110260303597807e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.195519374167494, "moment": 2047.999755859375, "term": -0.00002386710825924906, "partial": 0.33035838076260243, "direct": 0.3303187090028087, "error": 0.00003967175979374682, "absoluteError": 0.00003967175979374682, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000023867111104430418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.8451813583887122e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 4095.9998779296875, "term": -0.000017328218883179408, "partial": 0.33034105254371926, "direct": 0.3303187090028087, "error": 0.000022343540910574333, "absoluteError": 0.000022343540910574333, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001732821939960059 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.164211809516129e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.2945243112740431, "x": 1.1611387090178493, "z": 3.8277613429288353, "direct": { "potential": 0.31994526265149204, "ex": 0.10109859415103573, "ez": 0.14201025871403217, "terms": [ { "role": "real", "distance": 2.165399415416162, "potential": 0.46180856653081376, "ex": 0.11435892331317725, "ez": 0.18001365179496004 }, { "role": "image", "distance": 3.524519634939088, "potential": -0.14186330387932175, "ex": -0.013260329162141524, "ez": -0.038003393080927886 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.31994526265149204, "error": -0.19494526265149204, "absoluteError": 0.19494526265149204, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9569403357322088, "moment": 1.75, "term": 0.10466534922071034, "partial": 0.22966534922071036, "direct": 0.31994526265149204, "error": -0.09027991343078168, "absoluteError": 0.09027991343078168, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1196175419665261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014952192745815763 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 3.875, "term": 0.0528938837617855, "partial": 0.28255923298249586, "direct": 0.31994526265149204, "error": -0.03738602966899618, "absoluteError": 0.03738602966899618, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.054600138076681806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017062543148963064 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.7553484285018567, "moment": 7.9375, "term": 0.02342022715325581, "partial": 0.30597946013575167, "direct": 0.31994526265149204, "error": -0.013965802515740366, "absoluteError": 0.013965802515740366, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.02360463839068302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0001844112374272111 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 15.96875, "term": 0.009508568108359164, "partial": 0.3154880282441108, "direct": 0.31994526265149204, "error": -0.0044572344073812165, "absoluteError": 0.0044572344073812165, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.009527175873737557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000018607765378393666 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.44599261608168855, "moment": 31.984375, "term": 0.0034826159863251363, "partial": 0.318970644230436, "direct": 0.31994526265149204, "error": -0.0009746184210560616, "absoluteError": 0.0009746184210560616, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.003484317313138192 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000017013268130557577 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 63.9921875, "term": 0.001071467680421373, "partial": 0.32004211191085735, "direct": 0.31994526265149204, "error": 0.00009684925936531696, "absoluteError": 0.00009684925936531696, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010715984907840176 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.308103626445334e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.10525161013461, "moment": 127.99609375, "term": 0.00020556327755932605, "partial": 0.3202476751884166, "direct": 0.31994526265149204, "error": 0.00030241253692459, "absoluteError": 0.00030241253692459, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00020556955104416015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -6.273484834111333e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 255.998046875, "term": -0.000049988855478407816, "partial": 0.32019768633293827, "direct": 0.31994526265149204, "error": 0.0002524236814462344, "absoluteError": 0.0002524236814462344, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000049989236866018185 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.8138761036696003e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.18608382805779736, "moment": 511.9990234375, "term": -0.00009086107086477653, "partial": 0.32010682526207346, "direct": 0.31994526265149204, "error": 0.00016156261058142274, "absoluteError": 0.00016156261058142274, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009086124416884637 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.7330406984109185e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 1023.99951171875, "term": -0.00007135373770599912, "partial": 0.32003547152436745, "direct": 0.31994526265149204, "error": 0.00009020887287541912, "absoluteError": 0.00009020887287541912, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007135377173012885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.402412973886912e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.36476783781133404, "moment": 2047.999755859375, "term": -0.00004452731864350821, "partial": 0.31999094420572394, "direct": 0.31994526265149204, "error": 0.00004568155423190223, "absoluteError": 0.00004568155423190223, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004452732395157886 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.308070653865202e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 4095.9998779296875, "term": -0.00002448266923320739, "partial": 0.3199664615364908, "direct": 0.31994526265149204, "error": 0.000021198884998741008, "absoluteError": 0.000021198884998741008, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000024482669962847813 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 7.29640423144335e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.3436116964863836, "x": 1.3475594135688802, "z": 3.7661762607320832, "direct": { "potential": 0.3086227329650165, "ex": 0.10763192550721343, "ez": 0.12406402616441867, "terms": [ { "role": "real", "distance": 2.221552375495943, "potential": 0.4501356848616987, "ex": 0.12290746243028418, "ez": 0.16108843901456113 }, { "role": "image", "distance": 3.533245496603359, "potential": -0.14151295189668217, "ex": -0.015275536923070748, "ez": -0.03702441285014246 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.3086227329650165, "error": -0.18362273296501652, "absoluteError": 0.18362273296501652, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9415440651830208, "moment": 1.75, "term": 0.1029813821293929, "partial": 0.2279813821293929, "direct": 0.3086227329650165, "error": -0.08064135083562363, "absoluteError": 0.08064135083562363, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1176930081478776 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0147116260184847 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.8297578400220529, "moment": 3.875, "term": 0.05023924422008523, "partial": 0.27822062634947814, "direct": 0.3086227329650165, "error": -0.030402106615538382, "absoluteError": 0.030402106615538382, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.051859865001378305 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001620620781293072 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.6743932395643967, "moment": 7.9375, "term": 0.02091014194938437, "partial": 0.2991307682988625, "direct": 0.3086227329650165, "error": -0.00949196466615404, "absoluteError": 0.00949196466615404, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.021074788736387396 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00016464678700302653 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.4888807865284257, "moment": 15.96875, "term": 0.007623842831909959, "partial": 0.30675461113077246, "direct": 0.3086227329650165, "error": -0.001868121834244063, "absoluteError": 0.001868121834244063, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.007638762289506652 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000014919457596692679 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.28903045399660643, "moment": 31.984375, "term": 0.0022569478581659446, "partial": 0.3090115589889384, "direct": 0.3086227329650165, "error": 0.00038882602392187327, "absoluteError": 0.00038882602392187327, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0022580504218484877 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001102563682543207 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.09151334369201991, "moment": 63.9921875, "term": 0.000357430361834209, "partial": 0.3093689893507726, "direct": 0.3086227329650165, "error": 0.0007462563857560944, "absoluteError": 0.0007462563857560944, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0003574739987969528 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.363696274376865e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.08772181866886553, "moment": 127.99609375, "term": -0.00017132644845978717, "partial": 0.3091976629023128, "direct": 0.3086227329650165, "error": 0.0005749299372962979, "absoluteError": 0.0005749299372962979, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00017133167708762798 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.228627840808959e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2349378465206389, "moment": 255.998046875, "term": -0.00022942974031945064, "partial": 0.30896823316199334, "direct": 0.3086227329650165, "error": 0.0003455001969768223, "absoluteError": 0.0003455001969768223, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022943149074281142 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7504233607697405e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.3398554607757394, "moment": 511.9990234375, "term": -0.0001659447326918413, "partial": 0.3088022884293015, "direct": 0.3086227329650165, "error": 0.00017955546428499725, "absoluteError": 0.00017955546428499725, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000165945049206904 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.165150627267914e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.3965348331469579, "moment": 1023.99951171875, "term": -0.00009681021583603881, "partial": 0.3087054782134655, "direct": 0.3086227329650165, "error": 0.00008274524844897879, "absoluteError": 0.00008274524844897879, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009681026199876902 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.6162730216393005e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.40380916243523773, "moment": 2047.999755859375, "term": -0.00004929310477263603, "partial": 0.30865618510869286, "direct": 0.3086227329650165, "error": 0.000033452143676337975, "absoluteError": 0.000033452143676337975, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004929311064883273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.8761967001954e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.36523430030035225, "moment": 4095.9998779296875, "term": -0.0000222921319223341, "partial": 0.3086338929767705, "direct": 0.3086227329650165, "error": 0.000011160011753996724, "absoluteError": 0.000011160011753996724, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000022292132586691422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 6.64357322057826e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.39269908169872414, "x": 1.5307337294603591, "z": 3.695518130045147, "direct": { "potential": 0.29666085999792424, "ex": 0.11122022770941359, "ez": 0.10633293806607177, "terms": [ { "role": "real", "distance": 2.2842783280107115, "potential": 0.4377750240579749, "ex": 0.12842589281521688, "ez": 0.1422510169108245 }, { "role": "image", "distance": 3.543230428571483, "potential": -0.1411141640600507, "ex": -0.017205665105803295, "ez": -0.03591807884475274 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.29666085999792424, "error": -0.17166085999792424, "absoluteError": 0.17166085999792424, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9238795325112867, "moment": 1.75, "term": 0.10104932386842198, "partial": 0.22604932386842197, "direct": 0.29666085999792424, "error": -0.07061153612950227, "absoluteError": 0.07061153612950227, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11548494156391084 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014435617695488855 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 3.875, "term": 0.04724654816911567, "partial": 0.27329587203753763, "direct": 0.29666085999792424, "error": -0.023364987960386607, "absoluteError": 0.023364987960386607, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.048770630368119405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0015240821990037314 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.5856319699199135, "moment": 7.9375, "term": 0.018158022504841068, "partial": 0.29145389454237874, "direct": 0.29666085999792424, "error": -0.005206965455545498, "absoluteError": 0.005206965455545498, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.018300999059997297 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00014297655515622888 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.361595869120796, "moment": 15.96875, "term": 0.005638900424826866, "partial": 0.2970927949672056, "direct": 0.29666085999792424, "error": 0.00043193496928134456, "absoluteError": 0.00043193496928134456, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0056499354550124375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011035030185571167 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.13282226460246935, "moment": 31.984375, "term": 0.0010371672654771987, "partial": 0.2981299622326828, "direct": 0.29666085999792424, "error": 0.0014691022347585458, "absoluteError": 0.0014691022347585458, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0010376739422067918 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.0667672959316e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 63.9921875, "term": -0.00029823823574192434, "partial": 0.29783172399694086, "direct": 0.29666085999792424, "error": 0.0011708639990166136, "absoluteError": 0.0011708639990166136, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0002982746462211994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 3.6410479275048754e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2448614310714851, "moment": 127.99609375, "term": -0.0004782303876828761, "partial": 0.297353493609258, "direct": 0.29666085999792424, "error": 0.0006926336113337594, "absoluteError": 0.0006926336113337594, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0004782449825614943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.4594878618209665e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 255.998046875, "term": -0.00034897546262992125, "partial": 0.2970045181466281, "direct": 0.29666085999792424, "error": 0.0003436581487038515, "absoluteError": 0.0003436581487038515, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0003489781251217206 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.6624917993295334e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.40596522898250775, "moment": 511.9990234375, "term": -0.00019822483137953286, "partial": 0.29680629331524855, "direct": 0.29666085999792424, "error": 0.0001454333173243061, "absoluteError": 0.0001454333173243061, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00019822520946411511 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.780845822603514e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 1023.99951171875, "term": -0.00009545927948813527, "partial": 0.2967108340357604, "direct": 0.29666085999792424, "error": 0.0000499740378361313, "absoluteError": 0.0000499740378361313, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009545932500668852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.551855326017786e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.3205772382807112, "moment": 2047.999755859375, "term": -0.000039132958992300586, "partial": 0.2966717010767681, "direct": 0.29666085999792424, "error": 0.000010841078843859542, "absoluteError": 0.000010841078843859542, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003913296365731338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.6650127956048705e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 4095.9998779296875, "term": -0.000012771625801113792, "partial": 0.296658929450967, "direct": 0.29666085999792424, "error": -0.0000019305469572405975, "absoluteError": 0.0000019305469572405975, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012771626181737913 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.806241208832834e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.44178646691106466, "x": 1.7102203737211283, "z": 3.6159571724937734, "direct": { "potential": 0.2843370348999694, "ex": 0.11225003356586272, "ez": 0.08936188115220112, "terms": [ { "role": "real", "distance": 2.352906991367255, "potential": 0.4250061747740008, "ex": 0.13129185828111753, "ez": 0.12405536931932458 }, { "role": "image", "distance": 3.554439875353953, "potential": -0.14066913987403143, "ex": -0.019041824715254806, "ez": -0.034693488167123455 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.2843370348999694, "error": -0.15933703489996942, "absoluteError": 0.15933703489996942, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.9039892931234433, "moment": 1.75, "term": 0.09887382893537662, "partial": 0.2238738289353766, "direct": 0.2843370348999694, "error": -0.060463205964592814, "absoluteError": 0.060463205964592814, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11299866164043042 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014124832705053802 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 3.875, "term": 0.04394461690782179, "partial": 0.2678184458431984, "direct": 0.2843370348999694, "error": -0.016518589056771005, "absoluteError": 0.016518589056771005, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04536218519517088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00141756828734909 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.4908585973608312, "moment": 7.9375, "term": 0.015219492642779678, "partial": 0.2830379384859781, "direct": 0.2843370348999694, "error": -0.0012990964139913408, "absoluteError": 0.0012990964139913408, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.015339331167525975 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00011983852474629668 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 15.96875, "term": 0.0036207718634100002, "partial": 0.2866587103493881, "direct": 0.2843370348999694, "error": 0.002321675449418692, "absoluteError": 0.002321675449418692, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0036278575226338945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007085659223894325 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.014883367911763479, "moment": 31.984375, "term": -0.00011621953626777588, "partial": 0.28654249081312033, "direct": 0.2843370348999694, "error": 0.002205455913150911, "absoluteError": 0.002205455913150911, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00011627631181065218 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.677554287629501e-8 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 63.9921875, "term": -0.000852052790010912, "partial": 0.2856904380231094, "direct": 0.2843370348999694, "error": 0.0013534031231399735, "absoluteError": 0.0013534031231399735, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0008521568130593812 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.0402304846916274e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.3534847751479016, "moment": 127.99609375, "term": -0.0006903788821262892, "partial": 0.2850000591409831, "direct": 0.2843370348999694, "error": 0.0006630242410136655, "absoluteError": 0.0006630242410136655, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006903999514607453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.1069334456199503e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.408266471404419, "moment": 255.998046875, "term": -0.0003986946841586277, "partial": 0.2846013644568245, "direct": 0.2843370348999694, "error": 0.00026432955685506965, "absoluteError": 0.00026432955685506965, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00039869772598087795 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.0418222502203213e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.38292073555131134, "moment": 511.9990234375, "term": -0.00018697265878318844, "partial": 0.2844143917980413, "direct": 0.2843370348999694, "error": 0.00007735689807186752, "absoluteError": 0.00007735689807186752, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00018697301540591374 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.5662272530730007e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 1023.99951171875, "term": -0.00007086350169238868, "partial": 0.2843435282963489, "direct": 0.2843370348999694, "error": 0.000006493396379481098, "absoluteError": 0.000006493396379481098, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007086353548275557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.379036687982348e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.1528151867784473, "moment": 2047.999755859375, "term": -0.000018654195381037285, "partial": 0.28432487410096785, "direct": 0.2843370348999694, "error": -0.00001216079900157041, "absoluteError": 0.00001216079900157041, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001865419760479093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.223753643607012e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 4095.9998779296875, "term": 7.899842700966444e-8, "partial": 0.2843249530993949, "direct": 0.2843370348999694, "error": -0.000012081800574548218, "absoluteError": 0.000012081800574548218, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 7.89984293640011e-8 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.354336660027537e-15 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.4908738521234052, "x": 1.8855869473039906, "z": 3.52768505739342, "direct": { "potential": 0.27188843279624686, "ex": 0.11115736622592301, "ez": 0.0735309813551509, "terms": [ { "role": "real", "distance": 2.4267797119694072, "potential": 0.4120687160304587, "ex": 0.13193362538380637, "ez": 0.10689139970700502 }, { "role": "image", "distance": 3.566835424098872, "potential": -0.14018028323421183, "ex": -0.020776259157883357, "ez": -0.033360418351854125 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.27188843279624686, "error": -0.14688843279624686, "absoluteError": 0.14688843279624686, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.881921264348355, "moment": 1.75, "term": 0.09646013828810134, "partial": 0.22146013828810135, "direct": 0.27188843279624686, "error": -0.05042829450814551, "absoluteError": 0.05042829450814551, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11024015804354438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.013780019755443048 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.6666776747647019, "moment": 3.875, "term": 0.040365249839269056, "partial": 0.2618253881273704, "direct": 0.27188843279624686, "error": -0.010063044668876475, "absoluteError": 0.010063044668876475, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.041667354672793866 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0013021048335248083 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.3919811868366088, "moment": 7.9375, "term": 0.012153713556701494, "partial": 0.2739791016840719, "direct": 0.27188843279624686, "error": 0.0020906688878250534, "absoluteError": 0.0020906688878250534, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012249412088644026 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009569853194253145 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.1049606957439676, "moment": 15.96875, "term": 0.0016368077247670729, "partial": 0.27561590940883895, "direct": 0.27188843279624686, "error": 0.0037274766125920955, "absoluteError": 0.0037274766125920955, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0016400108709994938 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000032031462324208863 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.1469642243739618, "moment": 31.984375, "term": -0.0011475973788967126, "partial": 0.27446831202994226, "direct": 0.27188843279624686, "error": 0.0025798792336954035, "absoluteError": 0.0025798792336954035, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0011481580029215766 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.606240248640511e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.3250871831720492, "moment": 63.9921875, "term": -0.0012697167956172253, "partial": 0.273198595234325, "direct": 0.27188843279624686, "error": 0.001310162438078133, "absoluteError": 0.001310162438078133, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0012698718092658172 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.550136485920187e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.40647593552017647, "moment": 127.99609375, "term": -0.0007938740837090982, "partial": 0.2724047211506159, "direct": 0.27188843279624686, "error": 0.0005162883543690655, "absoluteError": 0.0005162883543690655, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0007938983115628447 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.4227853746424703e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.387698285314084, "moment": 255.998046875, "term": -0.00037860871817471317, "partial": 0.27202611243244124, "direct": 0.27188843279624686, "error": 0.00013767963619437662, "absoluteError": 0.00013767963619437662, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00037861160675203517 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.8885773220217527e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.2845357410362949, "moment": 511.9990234375, "term": -0.00013893320230831948, "partial": 0.2718871792301329, "direct": 0.27188843279624686, "error": -0.0000012535661139678744, "absoluteError": 0.0000012535661139678744, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00013893346730287838 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.6499455891204525e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.12785397214267258, "moment": 1023.99951171875, "term": -0.00003121433378348336, "partial": 0.2718559648963494, "direct": 0.27188843279624686, "error": -0.00003246789989747034, "absoluteError": 0.00003246789989747034, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003121434866764467 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4884161313841187e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.04340523075622007, "moment": 2047.999755859375, "term": 0.000005298489450917157, "partial": 0.2718612633858003, "direct": 0.27188843279624686, "error": -0.000027169410446559183, "absoluteError": 0.000027169410446559183, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000005298490082546395 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -6.316292384322161e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.19056946677417716, "moment": 4095.9998779296875, "term": 0.000011631436834397245, "partial": 0.2718728948226347, "direct": 0.27188843279624686, "error": -0.00001553797361214526, "absoluteError": 0.00001553797361214526, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011631437181041086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.466438407016124e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.5399612373357456, "x": 2.0564109767728866, "z": 3.4309144400010885, "direct": { "potential": 0.25950952959977514, "ex": 0.10838021653873847, "ez": 0.05907342142411077, "terms": [ { "role": "real", "distance": 2.505262908358252, "potential": 0.39915970362380837, "ex": 0.1307826062745076, "ez": 0.09100258748513664 }, { "role": "image", "distance": 3.5803750585656404, "potential": -0.13965017402403326, "ex": -0.022402389735769128, "ez": -0.03192916606102587 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.25950952959977514, "error": -0.13450952959977514, "absoluteError": 0.13450952959977514, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.8577286100002721, "moment": 1.75, "term": 0.09381406671877976, "partial": 0.21881406671877976, "direct": 0.25950952959977514, "error": -0.040695462880995376, "absoluteError": 0.040695462880995376, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10721607625003401 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.013402009531254252 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 3.875, "term": 0.03654291822500868, "partial": 0.25535698494378845, "direct": 0.25950952959977514, "error": -0.00415254465598669, "absoluteError": 0.00415254465598669, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.03772172203871864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0011788038137099575 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.2909809322954658, "moment": 7.9375, "term": 0.009022113867559607, "partial": 0.264379098811348, "direct": 0.25950952959977514, "error": 0.004869569211572888, "absoluteError": 0.004869569211572888, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.009093154134233306 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0000710402666736977 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.01589099092447066, "moment": 15.96875, "term": -0.0002478117786378329, "partial": 0.2641312870327102, "direct": 0.25950952959977514, "error": 0.004621757432935081, "absoluteError": 0.004621757432935081, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.00024829673319485407 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 4.849545570211994e-7 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.2573190294392843, "moment": 31.984375, "term": -0.0020093233232964134, "partial": 0.2621219637094138, "direct": 0.25950952959977514, "error": 0.002612434109638684, "absoluteError": 0.002612434109638684, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0020103049174944087 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 9.815941979953167e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.39139231221683124, "moment": 63.9921875, "term": -0.001528689589199097, "partial": 0.2605932741202147, "direct": 0.25950952959977514, "error": 0.001083744520439578, "absoluteError": 0.001083744520439578, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001528876219596997 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8663039790002405e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.40289925919389297, "moment": 127.99609375, "term": -0.0007868886009458477, "partial": 0.2598063855192689, "direct": 0.25950952959977514, "error": 0.0002968559194937437, "absoluteError": 0.0002968559194937437, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0007869126156130722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.4014667224520026e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.3054908922324923, "moment": 255.998046875, "term": -0.00029832867336127906, "partial": 0.25950805684590755, "direct": 0.25950952959977514, "error": -0.000001472753867581833, "absoluteError": 0.000001472753867581833, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002983309494457933 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.2760845142043555e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.13680962873425248, "moment": 511.9990234375, "term": -0.00006680144911650106, "partial": 0.2594412553967911, "direct": 0.25950952959977514, "error": -0.00006827420298405329, "absoluteError": 0.00006827420298405329, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00006680157653039672 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.2741389566497177e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.0519852909003641, "moment": 1023.99951171875, "term": 0.000012691715359337333, "partial": 0.2594539471121504, "direct": 0.25950952959977514, "error": -0.00005558248762471685, "absoluteError": 0.00005558248762471685, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000012691721411221704 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -6.0518843704327125e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.2094973622486851, "moment": 2047.999755859375, "term": 0.000025573405429034838, "partial": 0.25947952051757944, "direct": 0.25950952959977514, "error": -0.000030009082195692205, "absoluteError": 0.000030009082195692205, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000025573408477622692 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.0485878560093274e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.29675625587188526, "moment": 4095.9998779296875, "term": 0.00001811256390550901, "partial": 0.25949763308148494, "direct": 0.25950952959977514, "error": -0.000011896518290199776, "absoluteError": 0.000011896518290199776, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000018112564445305497 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.397964848669021e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.5890486225480862, "x": 2.2222809320784087, "z": 3.325878449210181, "direct": { "potential": 0.247353511438777, "ex": 0.1043266350393282, "ez": 0.04610226415015348, "terms": [ { "role": "real", "distance": 2.587756983018165, "potential": 0.3864350503398798, "ex": 0.12824147139315015, "ez": 0.07651265002582601 }, { "role": "image", "distance": 3.5950134284575097, "potential": -0.13908153890110278, "ex": -0.023914836353821953, "ez": -0.030410385875672536 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.247353511438777, "error": -0.12235351143877701, "absoluteError": 0.12235351143877701, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.8314696123025452, "moment": 1.75, "term": 0.09094198884559089, "partial": 0.2159419888455909, "direct": 0.247353511438777, "error": -0.03141152259318611, "absoluteError": 0.03141152259318611, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10393370153781815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.01299171269222727 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.5370125742738172, "moment": 3.875, "term": 0.03251443320798503, "partial": 0.24845642205357593, "direct": 0.247353511438777, "error": 0.0011029106147989187, "absoluteError": 0.0011029106147989187, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.033563285892113576 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0010488526841285492 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.18986965335337413, "moment": 7.9375, "term": 0.005887071771454716, "partial": 0.25434349382503063, "direct": 0.247353511438777, "error": 0.006989982386253618, "absoluteError": 0.006989982386253618, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.005933426667292942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00004635489583822611 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.12648544834730274, "moment": 15.96875, "term": -0.001972475100874991, "partial": 0.2523710187241556, "direct": 0.247353511438777, "error": 0.005017507285378614, "absoluteError": 0.005017507285378614, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0019763351304266054 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000038600295516144636 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.34119957474134105, "moment": 31.984375, "term": -0.0026643201045819286, "partial": 0.2497066986195737, "direct": 0.247353511438777, "error": 0.0023531871807966898, "absoluteError": 0.0023531871807966898, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002665621677666727 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000013015730847982065 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.41470676961187064, "moment": 63.9921875, "term": -0.0016197505711988604, "partial": 0.24808694804837486, "direct": 0.247353511438777, "error": 0.0007334366095978484, "absoluteError": 0.0007334366095978484, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0016199483187963697 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.9774759750932247e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.3479159359830647, "moment": 127.99609375, "term": -0.0006795025750611473, "partial": 0.2474074454733137, "direct": 0.247353511438777, "error": 0.00005393403453668455, "absoluteError": 0.00005393403453668455, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006795233124669232 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.0737405775968116e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.17953444235033056, "moment": 255.998046875, "term": -0.00017532526622191202, "partial": 0.2472321202070918, "direct": 0.247353511438777, "error": -0.00012139123168522503, "absoluteError": 0.00012139123168522503, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00017532660385774469 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.3376358326549125e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.027290124874756277, "moment": 511.9990234375, "term": 0.000013325230870592728, "partial": 0.2472454454379624, "direct": 0.247353511438777, "error": -0.00010806600081461615, "absoluteError": 0.00010806600081461615, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000013325256286502088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.541590935993593e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.20469372625897062, "moment": 1023.99951171875, "term": 0.00004997403043295798, "partial": 0.24729541946839534, "direct": 0.247353511438777, "error": -0.00005809197038167402, "absoluteError": 0.00005809197038167402, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000049974054262444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.3829486018392562e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.3001116026119945, "moment": 2047.999755859375, "term": 0.000036634712748523384, "partial": 0.24733205418114387, "direct": 0.247353511438777, "error": -0.000021457257633139548, "absoluteError": 0.000021457257633139548, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000036634717115721983 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.367198600259064e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.2906369668492505, "moment": 4095.9998779296875, "term": 0.000017739072155004513, "partial": 0.24734979325329887, "direct": 0.247353511438777, "error": -0.0000037181854781465074, "absoluteError": 0.0000037181854781465074, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000017739072683670074 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.28665562977495e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.6381360077604268, "x": 2.3827972179697334, "z": 3.2128301259225798, "direct": { "potential": 0.2355361132127789, "ex": 0.09935667708442716, "ez": 0.03463939293226464, "terms": [ { "role": "real", "distance": 2.6737014598323583, "potential": 0.3740133350799383, "ex": 0.12466609179669, "ez": 0.0634543261473524 }, { "role": "image", "distance": 3.6107021303449307, "potential": -0.13847722186715938, "ex": -0.025309414712262834, "ez": -0.02881493321508776 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.2355361132127789, "error": -0.1105361132127789, "absoluteError": 0.1105361132127789, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.8032075314806449, "moment": 1.75, "term": 0.08785082375569554, "partial": 0.21285082375569553, "direct": 0.2355361132127789, "error": -0.02268528945708337, "absoluteError": 0.02268528945708337, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10040094143508062 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.012550117679385077 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.4677135079408469, "moment": 3.875, "term": 0.028318591301105964, "partial": 0.2411694150568015, "direct": 0.2355361132127789, "error": 0.005633301844022609, "absoluteError": 0.005633301844022609, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02923209424630293 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0009135029451969665 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.09064666593510447, "moment": 7.9375, "term": 0.002810577776796452, "partial": 0.24397999283359795, "direct": 0.2355361132127789, "error": 0.00844387962081905, "absoluteError": 0.00844387962081905, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0028327083104720146 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000022130533675562614 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.22337098258593474, "moment": 15.96875, "term": -0.003483354861493306, "partial": 0.24049663797210466, "direct": 0.2355361132127789, "error": 0.004960524759325763, "absoluteError": 0.004960524759325763, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0034901716029052303 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000006816741411924278 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.39546119269714214, "moment": 31.984375, "term": -0.0030880320032159805, "partial": 0.23740860596888866, "direct": 0.2355361132127789, "error": 0.0018724927561097615, "absoluteError": 0.0018724927561097615, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003089540567946423 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000015085647304425893 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.3961927632132703, "moment": 63.9921875, "term": -0.001547439061870526, "partial": 0.23586116690701814, "direct": 0.2355361132127789, "error": 0.00032505369423924124, "absoluteError": 0.00032505369423924124, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001547627981301837 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.889194313112594e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2520225701600702, "moment": 127.99609375, "term": -0.0004922165606281174, "partial": 0.23536895034639002, "direct": 0.2355361132127789, "error": -0.00016716286638887579, "absoluteError": 0.00016716286638887579, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0004922315823438871 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.5021715769771944e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.032880881792784034, "moment": 255.998046875, "term": -0.00003210999114410576, "partial": 0.23533684035524594, "direct": 0.2355361132127789, "error": -0.00019927285753296164, "absoluteError": 0.00019927285753296164, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003211023612576566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.449816598950627e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.17413418211331658, "moment": 511.9990234375, "term": 0.00008502629393492304, "partial": 0.23542186664918086, "direct": 0.2355361132127789, "error": -0.00011424656359804164, "absoluteError": 0.00011424656359804164, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00008502645611001786 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.621750948143346e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.295337978080618, "moment": 1023.99951171875, "term": 0.00007210396417297262, "partial": 0.2354939706133538, "direct": 0.2355361132127789, "error": -0.00004214259942508791, "absoluteError": 0.00004214259942508791, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007210399855483838 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.4381865765971366e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.29456633033871027, "moment": 2047.999755859375, "term": 0.00003595779970992032, "partial": 0.23552992841306375, "direct": 0.2355361132127789, "error": -0.000006184799715147626, "absoluteError": 0.000006184799715147626, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000035957803996424593 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.2865042682200186e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.18275281893604664, "moment": 4095.9998779296875, "term": 0.000011154346526464125, "partial": 0.2355410827595902, "direct": 0.2355361132127789, "error": 0.000004969546811312009, "absoluteError": 0.000004969546811312009, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011154346858889565 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.324254411128034e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.6872233929727672, "x": 2.537573136654582, "z": 3.092041813450948, "direct": { "potential": 0.22414068018451117, "ex": 0.0937749821904991, "ez": 0.02464225871772161, "terms": [ { "role": "real", "distance": 2.762577192803164, "potential": 0.3619808353609509, "ex": 0.12035809409653939, "ez": 0.05179597365771451 }, { "role": "image", "distance": 3.6273899964780534, "potential": -0.13784015517643972, "ex": -0.026583111906040294, "ez": -0.0271537149399929 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.22414068018451117, "error": -0.09914068018451117, "absoluteError": 0.09914068018451117, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.773010453362737, "moment": 1.75, "term": 0.08454801833654936, "partial": 0.20954801833654935, "direct": 0.22414068018451117, "error": -0.014592661847961819, "absoluteError": 0.014592661847961819, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.09662630667034212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.012078288333792766 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 3.875, "term": 0.023995800755615207, "partial": 0.23354381909216457, "direct": 0.22414068018451117, "error": 0.009403138907653402, "absoluteError": 0.009403138907653402, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02476985884450602 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0007740580888908131 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.004744040505222073, "moment": 7.9375, "term": -0.00014709305277421956, "partial": 0.23339672603939035, "direct": 0.22414068018451117, "error": 0.009256045854879186, "absoluteError": 0.009256045854879186, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.00014825126578818978 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0000011582130139702327 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 15.96875, "term": -0.004735356496791616, "partial": 0.22866136954259872, "direct": 0.22414068018451117, "error": 0.004520689358087554, "absoluteError": 0.004520689358087554, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004744623339251091 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009266842459474786 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.4187172917121639, "moment": 31.984375, "term": -0.003269631561793516, "partial": 0.22539173798080522, "direct": 0.22414068018451117, "error": 0.0012510577962940583, "absoluteError": 0.0012510577962940583, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0032712288415012803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001597279707764297 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 63.9921875, "term": -0.0013293440933995846, "partial": 0.22406239388740562, "direct": 0.22414068018451117, "error": -0.00007828629710554535, "absoluteError": 0.00007828629710554535, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0013295063866596748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.6229326009029234e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.1297080256585875, "moment": 127.99609375, "term": -0.00025332825641363483, "partial": 0.22380906563099198, "direct": 0.22414068018451117, "error": -0.0003316145535191828, "absoluteError": 0.0003316145535191828, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0002533359876144287 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.73120079389736e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 255.998046875, "term": 0.00010723679769973054, "partial": 0.22391630242869173, "direct": 0.22414068018451117, "error": -0.00022437775581943264, "absoluteError": 0.00022437775581943264, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00010723761585781051 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -8.181580799698678e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.27563491752824176, "moment": 511.9990234375, "term": 0.00013458710536931576, "partial": 0.22405088953406105, "direct": 0.22414068018451117, "error": -0.0000897906504501167, "absoluteError": 0.0000897906504501167, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001345873620743368 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.567050210463272e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 1023.99951171875, "term": 0.00007470706669414928, "partial": 0.22412559660075518, "direct": 0.22414068018451117, "error": -0.000015083583755987062, "absoluteError": 0.000015083583755987062, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007470710231727165 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.562312236655791e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.20100188394358875, "moment": 2047.999755859375, "term": 0.000024536359861120236, "partial": 0.2241501329606163, "direct": 0.22414068018451117, "error": 0.0000094527761051455, "absoluteError": 0.0000094527761051455, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002453636278608261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.924962375889136e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 4095.9998779296875, "term": 0.000001056201236909375, "partial": 0.22415118916185323, "direct": 0.22414068018451117, "error": 0.000010508977342060799, "absoluteError": 0.000010508977342060799, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000010562012683866257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.147725070675092e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.7363107781851077, "x": 2.6862358193880733, "z": 2.963804501419837, "direct": { "potential": 0.21322357905523603, "ex": 0.08783058878554617, "ez": 0.016026311700259213, "terms": [ { "role": "real", "distance": 2.853906444563426, "potential": 0.3503969101387184, "ex": 0.11556463164684588, "ez": 0.04146386232446571 }, { "role": "image", "distance": 3.6450233879332194, "potential": -0.13717333108348234, "ex": -0.027734042861299716, "ez": -0.025437550624206495 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.21322357905523603, "error": -0.08822357905523603, "absoluteError": 0.08822357905523603, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.7409511253549592, "moment": 1.75, "term": 0.08104152933569866, "partial": 0.20604152933569866, "direct": 0.21322357905523603, "error": -0.00718204971953737, "absoluteError": 0.00718204971953737, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.0926188906693699 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011577361333671238 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.32351285524717077, "moment": 3.875, "term": 0.019587692407543544, "partial": 0.2256292217432422, "direct": 0.21322357905523603, "error": 0.012405642688006174, "absoluteError": 0.012405642688006174, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.020219553452948173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0006318610454046304 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.0944553932996608, "moment": 7.9375, "term": -0.0029286706418595997, "partial": 0.22270055110138262, "direct": 0.21322357905523603, "error": 0.009476972046146587, "absoluteError": 0.009476972046146587, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0029517310406144 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0000230603987548 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.3651115938675287, "moment": 15.96875, "term": -0.0056937263325899405, "partial": 0.21700682476879266, "direct": 0.21322357905523603, "error": 0.003783245713556621, "absoluteError": 0.003783245713556621, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.005704868654180136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011142321590195579 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.41138940880159025, "moment": 31.984375, "term": -0.0032124104302095613, "partial": 0.2137944143385831, "direct": 0.21322357905523603, "error": 0.0005708352833470598, "absoluteError": 0.0005708352833470598, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003213979756262424 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000015693260528625116 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.25457598836325046, "moment": 63.9921875, "term": -0.0009943160632531092, "partial": 0.21280009827533, "direct": 0.21322357905523603, "error": -0.0004234807799060325, "absoluteError": 0.0004234807799060325, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009944374545439471 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.2139129083788417e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.0023096724214604386, "moment": 127.99609375, "term": 0.0000045109412809606905, "partial": 0.21280460921661096, "direct": 0.21322357905523603, "error": -0.0004189698386250773, "absoluteError": 0.0004189698386250773, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.000004511078948164919 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.3766720422866575e-10 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.2259627792801237, "moment": 255.998046875, "term": 0.00022066509308684687, "partial": 0.2130252743096978, "direct": 0.21322357905523603, "error": -0.00019830474553822475, "absoluteError": 0.00019830474553822475, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002206667766407458 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.6835538989314713e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.3141986673065921, "moment": 511.9990234375, "term": 0.00015341702540048517, "partial": 0.21317869133509829, "direct": 0.21322357905523603, "error": -0.000044887720137748444, "absoluteError": 0.000044887720137748444, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00015341731802079694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.9262031177672756e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.2389646252869996, "moment": 1023.99951171875, "term": 0.00005834094515131513, "partial": 0.2132370322802496, "direct": 0.21322357905523603, "error": 0.000013453225013559944, "absoluteError": 0.000013453225013559944, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005834097297045889 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.7819143758038944e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.05239059958991612, "moment": 2047.999755859375, "term": 0.000006395336101619869, "partial": 0.21324342761635123, "direct": 0.21322357905523603, "error": 0.000019848561115198837, "absoluteError": 0.000019848561115198837, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0000063953368640034325 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -7.623835639957705e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.14464806520842494, "moment": 4095.9998779296875, "term": -0.000008828616998143108, "partial": 0.21323459899935307, "direct": 0.21322357905523603, "error": 0.000011019944117035552, "absoluteError": 0.000011019944117035552, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000008828617261256405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 2.6311329785753503e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.7853981633974483, "x": 2.82842712474619, "z": 2.8284271247461903, "direct": { "potential": 0.20281939740586513, "ex": 0.08172108444792504, "ez": 0.008682520829076317, "terms": [ { "role": "real", "distance": 2.9472515164158013, "potential": 0.3392991722729235, "ex": 0.11048247484539299, "ez": 0.03235956767994346 }, { "role": "image", "distance": 3.6635464887529148, "potential": -0.13647977486705837, "ex": -0.02876139039746795, "ez": -0.023677046850867144 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.20281939740586513, "error": -0.07781939740586513, "absoluteError": 0.07781939740586513, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 1.75, "term": 0.07733980419227864, "partial": 0.20233980419227865, "direct": 0.20281939740586513, "error": -0.0004795932135864822, "absoluteError": 0.0004795932135864822, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08838834764831845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011048543456039806 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 3.875, "term": 0.015136718750000007, "partial": 0.21747652294227865, "direct": 0.20281939740586513, "error": 0.014657125536413518, "absoluteError": 0.014657125536413518, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015625000000000007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812500000002 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 7.9375, "term": -0.005481113355144743, "partial": 0.2119954095871339, "direct": 0.20281939740586513, "error": 0.009176012181268761, "absoluteError": 0.009176012181268761, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005524271728019899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00004315837287515546 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 15.96875, "term": -0.006335258483886717, "partial": 0.20566015110324717, "direct": 0.20281939740586513, "error": 0.0028407536973820424, "absoluteError": 0.0028407536973820424, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006347656249999998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012397766113281247 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 31.984375, "term": -0.002933336362661203, "partial": 0.202726814740586, "direct": 0.20281939740586513, "error": -0.00009258266527914505, "absoluteError": 0.00009258266527914505, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0029347693555105735 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000014329928493703972 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 63.9921875, "term": -0.0005797632038593298, "partial": 0.20214705153672666, "direct": 0.20281939740586513, "error": -0.0006723458691384743, "absoluteError": 0.0006723458691384743, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843750005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.078051567077643e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 127.99609375, "term": 0.000248153070770302, "partial": 0.20239520460749696, "direct": 0.20281939740586513, "error": -0.00042419279836816703, "absoluteError": 0.00042419279836816703, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002481606440321438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.573261841801263e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 255.998046875, "term": 0.0002913452808570582, "partial": 0.20268654988835402, "direct": 0.20281939740586513, "error": -0.0001328475175111088, "absoluteError": 0.0001328475175111088, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002913475036621093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133036e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 511.9990234375, "term": 0.0001394215089481058, "partial": 0.20282597139730213, "direct": 0.20281939740586513, "error": 0.0000065739914369977726, "absoluteError": 0.0000065739914369977726, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001394217748740375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.659259316902876e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 1023.99951171875, "term": 0.000028103576610760727, "partial": 0.2028540749739129, "direct": 0.20281939740586513, "error": 0.000034677568047758456, "absoluteError": 0.000034677568047758456, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596724 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.340083599643551e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2047.999755859375, "term": -0.000012717810022080973, "partial": 0.2028413571638908, "direct": 0.20281939740586513, "error": 0.000021959758025658083, "absoluteError": 0.000021959758025658083, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000012717811538162251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.5160812781050505e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 4095.9998779296875, "term": -0.000015058554260177765, "partial": 0.2028262986096306, "direct": 0.20281939740586513, "error": 0.000006901203765480313, "absoluteError": 0.000006901203765480313, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957667 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910375e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.8344855486097889, "x": 2.9638045014198364, "z": 2.6862358193880733, "direct": { "potential": 0.19294561950865288, "ex": 0.07559892429331957, "ez": 0.0024902762258798145, "terms": [ { "role": "real", "distance": 3.0422124716146484, "potential": 0.3287081390042596, "ex": 0.10526425620614735, "ez": 0.02437276246638274 }, { "role": "image", "distance": 3.682901598008278, "potential": -0.13576251949560672, "ex": -0.029665331912827782, "ez": -0.021882486240502926 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.19294561950865288, "error": -0.06794561950865288, "absoluteError": 0.06794561950865288, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.6715589548470183, "moment": 1.75, "term": 0.07345176068639263, "partial": 0.19845176068639264, "direct": 0.19294561950865288, "error": 0.0055061411777397595, "absoluteError": 0.0055061411777397595, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08394486935587729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.010493108669484661 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.17648714475282934, "moment": 3.875, "term": 0.010685745092456464, "partial": 0.2091375057788491, "direct": 0.19294561950865288, "error": 0.016191886270196215, "absoluteError": 0.016191886270196215, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.011030446547051834 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0003447014545953698 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.2501700991077714, "moment": 7.9375, "term": -0.007756738912765373, "partial": 0.20138076686608372, "direct": 0.19294561950865288, "error": 0.008435147357430839, "absoluteError": 0.008435147357430839, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.007817815597117856 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00006107668435248325 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.4263723065735044, "moment": 15.96875, "term": -0.0066490554400348125, "partial": 0.19473171142604892, "direct": 0.19294561950865288, "error": 0.0017860919173960377, "absoluteError": 0.0017860919173960377, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006662067290211006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000013011850176193371 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.31526537375457003, "moment": 31.984375, "term": -0.0024618080904983707, "partial": 0.19226990333555052, "direct": 0.19294561950865288, "error": -0.0006757161731023587, "absoluteError": 0.0006757161731023587, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0024630107324575784 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001202641959207802 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.032841766835214704, "moment": 63.9921875, "term": -0.00012827249152528938, "partial": 0.19214163084402525, "direct": 0.19294561950865288, "error": -0.0008039886646276362, "absoluteError": 0.0008039886646276362, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00012828815170005744 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5660174768073418e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.22926783836885697, "moment": 127.99609375, "term": 0.00044777508138610936, "partial": 0.19258940592541135, "direct": 0.19294561950865288, "error": -0.0003562135832415325, "absoluteError": 0.0003562135832415325, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004477887468141738 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.3665428064397393e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 255.998046875, "term": 0.000309982427065719, "partial": 0.19289938835247708, "direct": 0.19294561950865288, "error": -0.0000462311561758022, "absoluteError": 0.0000462311561758022, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0003099847920619963 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.364996277328463e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.1988593303698685, "moment": 511.9990234375, "term": 0.00009709909720497881, "partial": 0.19299648744968206, "direct": 0.19294561950865288, "error": 0.00005086794102918124, "absoluteError": 0.00005086794102918124, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009709928240716235 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.8520218354637595e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.03194503264127886, "moment": 1023.99951171875, "term": -0.000007799076515795967, "partial": 0.19298868837316627, "direct": 0.19294561950865288, "error": 0.000043068864513384764, "absoluteError": 0.000043068864513384764, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000007799080234687222 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.718891255706416e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.22173688464494895, "moment": 2047.999755859375, "term": -0.00002706748757468902, "partial": 0.19296162088559157, "direct": 0.19294561950865288, "error": 0.000016001376938690193, "absoluteError": 0.000016001376938690193, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002706749080138537 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.2266963483554566e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.25612671854328634, "moment": 4095.9998779296875, "term": -0.000015632733820197467, "partial": 0.19294598815177136, "direct": 0.19294561950865288, "error": 3.6864311847573106e-7, "absoluteError": 3.6864311847573106e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015632734286089254 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.658917869952099e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.8835729338221293, "x": 3.0920418134509475, "z": 2.537573136654582, "direct": { "potential": 0.18360664344874333, "ex": 0.06957845895489757, "ez": -0.0026736130091853244, "terms": [ { "role": "real", "distance": 3.1384243583973266, "potential": 0.31863122567359303, "ex": 0.10002541471580678, "ez": 0.017390119273302855 }, { "role": "image", "distance": 3.703029417024042, "potential": -0.1350245822248497, "ex": -0.030446955760909205, "ez": -0.02006373228248818 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.18360664344874333, "error": -0.058606643448743334, "absoluteError": 0.058606643448743334, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.6343932841636455, "moment": 1.75, "term": 0.06938676545539872, "partial": 0.19438676545539874, "direct": 0.18360664344874333, "error": 0.010780122006655402, "absoluteError": 0.010780122006655402, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.07929916052045569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.00991239506505696 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.1036822584879038, "moment": 3.875, "term": 0.0062776367443848, "partial": 0.20066440219978351, "direct": 0.18360664344874333, "error": 0.01705775875104018, "absoluteError": 0.01705775875104018, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0064801411554939875 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0002025044111091871 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.3133033086563548, "moment": 7.9375, "term": -0.009714238329921158, "partial": 0.19095016386986235, "direct": 0.18360664344874333, "error": 0.007343520421119021, "absoluteError": 0.007343520421119021, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.009790728395511088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00007649006558993037 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.42558734497215, "moment": 15.96875, "term": -0.006636814370140645, "partial": 0.18431334949972172, "direct": 0.18360664344874333, "error": 0.0007067060509783896, "absoluteError": 0.0007067060509783896, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006649802265189844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012987895049198914 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.2353389093305796, "moment": 31.984375, "term": -0.0018376874824512345, "partial": 0.18247566201727047, "direct": 0.18360664344874333, "error": -0.0011309814314728606, "absoluteError": 0.0011309814314728606, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0018385852291451532 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 8.977466939185318e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.08094417757697758, "moment": 63.9921875, "term": 0.0003161495964684598, "partial": 0.18279181161373895, "direct": 0.18360664344874333, "error": -0.000814831835004387, "absoluteError": 0.000814831835004387, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0003161881936600687 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.85971916088951e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.29708417291346734, "moment": 127.99609375, "term": 0.000580224817625021, "partial": 0.18337203643136396, "direct": 0.18360664344874333, "error": -0.0002346070173793735, "absoluteError": 0.0002346070173793735, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005802425252216159 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.7707596594897946e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.2825517273594225, "moment": 255.998046875, "term": 0.00027592731607501856, "partial": 0.183647963747439, "direct": 0.18360664344874333, "error": 0.000041320298695662894, "absoluteError": 0.000041320298695662894, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00027592942124943606 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.105174417491425e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.07450646968982182, "moment": 511.9990234375, "term": 0.00003638004276367613, "partial": 0.18368434379020265, "direct": 0.18360664344874333, "error": 0.00007770034145931914, "absoluteError": 0.00007770034145931914, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00003638011215323331 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -6.938955717703497e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.16449038702734647, "moment": 1023.99951171875, "term": -0.00004015876674614692, "partial": 0.1836441850234565, "direct": 0.18360664344874333, "error": 0.00003754157471316799, "absoluteError": 0.00003754157471316799, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00004015878589534826 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.9149201343225603e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.26694983913912673, "moment": 2047.999755859375, "term": -0.000032586646400906504, "partial": 0.1836115983770556, "direct": 0.18360664344874333, "error": 0.000004954928312261853, "absoluteError": 0.000004954928312261853, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003258665028553793 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.88463142937874e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.1738069167785851, "moment": 4095.9998779296875, "term": -0.000010608332006758748, "partial": 0.18360099004504885, "direct": 0.18360664344874333, "error": -0.000005653403694488857, "absoluteError": 0.000005653403694488857, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010608332322911688 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.161529398832228e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.9326603190344698, "x": 3.2128301259225793, "z": 2.382797217969734, "direct": { "potential": 0.17479711803794967, "ex": 0.06374278655037094, "ez": -0.006928998193478687, "terms": [ { "role": "real", "distance": 3.235554222713794, "potential": 0.30906606138136616, "ex": 0.09485095688076563, "ez": 0.01130115225289045 }, { "role": "image", "distance": 3.723869329344179, "potential": -0.1342689433434165, "ex": -0.03110817033039468, "ez": -0.018230150446369137 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.17479711803794967, "error": -0.04979711803794967, "absoluteError": 0.04979711803794967, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.5956993044924335, "moment": 1.75, "term": 0.06515461142885991, "partial": 0.19015461142885992, "direct": 0.17479711803794967, "error": 0.015357493390910248, "absoluteError": 0.015357493390910248, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.07446241306155418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.009307801632694273 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.03228649205915346, "moment": 3.875, "term": 0.001954846198894057, "partial": 0.19210945762775397, "direct": 0.17479711803794967, "error": 0.0173123395898043, "absoluteError": 0.0173123395898043, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0020179057536970912 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0000630595548030341 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.36507780155472536, "moment": 7.9375, "term": -0.01131955097593997, "partial": 0.180789906651814, "direct": 0.17479711803794967, "error": 0.005992788613864319, "absoluteError": 0.005992788613864319, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.011408681298585167 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00008913032264519662 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.404798905869974, "moment": 15.96875, "term": -0.006312629421983543, "partial": 0.17447727722983045, "direct": 0.17479711803794967, "error": -0.0003198408081192261, "absoluteError": 0.0003198408081192261, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006324982904218344 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012353482234801453 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.14198692679109454, "moment": 31.984375, "term": -0.0011087312284140415, "partial": 0.1733685460014164, "direct": 0.17479711803794967, "error": -0.0014285720365332655, "absoluteError": 0.0014285720365332655, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.001109272865555426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.416371413844854e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.18226631340811106, "moment": 63.9921875, "term": 0.0007118908753995122, "partial": 0.17408043687681593, "direct": 0.17479711803794967, "error": -0.000716681161133742, "absoluteError": 0.000716681161133742, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0007119777867504338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -8.691135092168382e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.32334406720450265, "moment": 127.99609375, "term": 0.0006315121084505283, "partial": 0.17471194898526646, "direct": 0.17479711803794967, "error": -0.00008516905268321495, "absoluteError": 0.00008516905268321495, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006315313812587942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.9272808265954414e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.20167166816567203, "moment": 255.998046875, "term": 0.00019694348587202132, "partial": 0.17490889247113847, "direct": 0.17479711803794967, "error": 0.00011177443318879932, "absoluteError": 0.00011177443318879932, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0001969449884430391 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.502571017784417e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.06049401175333191, "moment": 511.9990234375, "term": -0.000029538035336992824, "partial": 0.17487935443580147, "direct": 0.17479711803794967, "error": 0.0000822363978517926, "absoluteError": 0.0000822363978517926, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000029538091676431597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 5.633943877493209e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.24997335873119697, "moment": 1023.99951171875, "term": -0.000061028622933254634, "partial": 0.1748183258128682, "direct": 0.17479711803794967, "error": 0.00002120777491854131, "absoluteError": 0.00002120777491854131, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000061028652033983635 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.910072900485212e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.22928617792370226, "moment": 2047.999755859375, "term": -0.00002798903205452391, "partial": 0.1747903367808137, "direct": 0.17479711803794967, "error": -0.0000067812571359626705, "absoluteError": 0.0000067812571359626705, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000027989035391076936 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.3365530241819544e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.0326468532075852, "moment": 4095.9998779296875, "term": -0.0000019926057272114964, "partial": 0.17478834417508649, "direct": 0.17479711803794967, "error": -0.000008773862863187265, "absoluteError": 0.000008773862863187265, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000019926057865957765 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.938428004371454e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 0.9817477042468103, "x": 3.325878449210181, "z": 2.222280932078409, "direct": { "potential": 0.16650464317237457, "ex": 0.05814995643884614, "ez": -0.010388770075101951, "terms": [ { "role": "real", "distance": 3.3332981072334893, "potential": 0.30000317038249, "ex": 0.08980156512159736, "ez": 0.006001775441333081 }, { "role": "image", "distance": 3.745359671369573, "potential": -0.13349852721011546, "ex": -0.031651608682751214, "ez": -0.016390545516435033 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.16650464317237457, "error": -0.04150464317237457, "absoluteError": 0.04150464317237457, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.5555702330196023, "moment": 1.75, "term": 0.060765494236519, "partial": 0.185765494236519, "direct": 0.16650464317237457, "error": 0.019260851064144435, "absoluteError": 0.019260851064144435, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.06944627912745029 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.008680784890931286 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.03701257427381721, "moment": 3.875, "term": -0.0022409957079850265, "partial": 0.18352449852853397, "direct": 0.16650464317237457, "error": 0.017019855356159408, "absoluteError": 0.017019855356159408, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0023132858921135757 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00007229018412854924 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.40465196286966815, "moment": 7.9375, "term": -0.012546581856554651, "partial": 0.1709779166719793, "direct": 0.16650464317237457, "error": 0.004473273499604746, "absoluteError": 0.004473273499604746, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.01264537383967713 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009879198312247757 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.3656625935754838, "moment": 15.96875, "term": -0.005702318887850105, "partial": 0.16527559778412923, "direct": 0.16650464317237457, "error": -0.0012290453882453367, "absoluteError": 0.0012290453882453367, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0057134780246169345 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001115913676682995 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.04195068387897609, "moment": 31.984375, "term": -0.00032757968864541645, "partial": 0.1649480180954838, "direct": 0.16650464317237457, "error": -0.0015566250768907774, "absoluteError": 0.0015566250768907774, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0003277397178045007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 1.6002915908422885e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.26199015074661675, "moment": 63.9921875, "term": 0.0010232740997150125, "partial": 0.16597129219519882, "direct": 0.16650464317237457, "error": -0.000533350977175745, "absoluteError": 0.000533350977175745, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010233990263539717 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2492663895922506e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.3062721687946655, "moment": 127.99609375, "term": 0.0005981695744332555, "partial": 0.16656946176963208, "direct": 0.16650464317237457, "error": 0.00006481859725751549, "absoluteError": 0.00006481859725751549, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005981878296770811 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.8255243825594515e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.08980055594296896, "moment": 255.998046875, "term": 0.00008769518634677592, "partial": 0.16665715695597885, "direct": 0.16650464317237457, "error": 0.00015251378360428558, "absoluteError": 0.00015251378360428558, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008769585541305562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.690662797016573e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.17800428687982192, "moment": 511.9990234375, "term": -0.0000869159899236273, "partial": 0.16657024096605522, "direct": 0.16650464317237457, "error": 0.00006559779368064955, "absoluteError": 0.00006559779368064955, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00008691615570303805 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.65779410749508e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.2687188783152626, "moment": 1023.99951171875, "term": -0.00006560516361819246, "partial": 0.16650463580243702, "direct": 0.16650464317237457, "error": -7.3699375491287356e-9, "absoluteError": 7.3699375491287356e-9, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006560519490118716 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.128299470004423e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.1231903216265172, "moment": 2047.999755859375, "term": -0.000015037879265269346, "partial": 0.16648959792317175, "direct": 0.16650464317237457, "error": -0.000015045249202816358, "absoluteError": 0.000015045249202816358, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000015037881057924463 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.792655117264326e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.11514729337969985, "moment": 4095.9998779296875, "term": 0.000007028032833742864, "partial": 0.1664966259560055, "direct": 0.16650464317237457, "error": -0.000008017216369060609, "absoluteError": 0.000008017216369060609, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000007028033043194571 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.0945170650465998e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.030835089459151, "x": 3.4309144400010885, "z": 2.0564109767728866, "direct": { "potential": 0.15871190902830523, "ex": 0.05283832538013089, "ez": -0.013156881725495204, "terms": [ { "role": "real", "distance": 3.431378162329016, "potential": 0.29142809468754655, "ex": 0.08491885674221404, "ez": 0.0013962329107990244 }, { "role": "image", "distance": 3.7674379919551577, "potential": -0.13271618565924131, "ex": -0.03208053136208315, "ez": -0.014553114636294228 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.15871190902830523, "error": -0.03371190902830523, "absoluteError": 0.03371190902830523, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.5141027441932217, "moment": 1.75, "term": 0.05622998764613362, "partial": 0.18122998764613363, "direct": 0.15871190902830523, "error": 0.022518078617828396, "absoluteError": 0.022518078617828396, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.06426284302415271 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.008032855378019088 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.10354755261949833, "moment": 3.875, "term": -0.006269480725008688, "partial": 0.17496050692112494, "direct": 0.15871190902830523, "error": 0.01624859789281971, "absoluteError": 0.01624859789281971, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0064717220387186455 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00020224131370995767 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.43145863105577464, "moment": 7.9375, "term": -0.013377745640645356, "partial": 0.16158276128047958, "direct": 0.15871190902830523, "error": 0.002870852252174344, "absoluteError": 0.002870852252174344, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013483082220492958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010533657984760123 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.31051395144071914, "moment": 15.96875, "term": -0.004842304357489242, "partial": 0.15674045692299032, "direct": 0.15871190902830523, "error": -0.001971452105314908, "absoluteError": 0.001971452105314908, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0048517804912612365 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009476133771994603 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.057821970661901645, "moment": 31.984375, "term": 0.0004515135724827296, "partial": 0.15719197049547307, "direct": 0.15871190902830523, "error": -0.0015199385328321657, "absoluteError": 0.0015199385328321657, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0004517341457961066 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -2.2057331337700518e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.31326008815249584, "moment": 63.9921875, "term": 0.0012235228452954737, "partial": 0.15841549334076854, "direct": 0.15871190902830523, "error": -0.00029641568753668857, "absoluteError": 0.00029641568753668857, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012236722193456869 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.4937405021309654e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.24952721408270032, "moment": 127.99609375, "term": 0.0004873429670243169, "partial": 0.15890283630779287, "direct": 0.15871190902830523, "error": 0.00019092727948763488, "absoluteError": 0.00019092727948763488, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00048735784000527405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4872980957192201e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.03357265430067313, "moment": 255.998046875, "term": -0.000032785545079734386, "partial": 0.15887005076271313, "direct": 0.15871190902830523, "error": 0.00015814173440789614, "absoluteError": 0.00015814173440789614, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000032785795215501106 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.5013576671982655e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.2544038006289613, "moment": 511.9990234375, "term": -0.00012422036884385742, "partial": 0.15874583039386927, "direct": 0.15871190902830523, "error": 0.00003392136556404357, "absoluteError": 0.00003392136556404357, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012422060577586 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.369320025937271e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.21828502599880922, "moment": 1023.99951171875, "term": -0.000053292217263768985, "partial": 0.1586925381766055, "direct": 0.15871190902830523, "error": -0.000019370851699729297, "absoluteError": 0.000019370851699729297, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005329224267549053 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.541172155165221e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.017036223432891393, "moment": 2047.999755859375, "term": 0.000002079616870363196, "partial": 0.15869461779347585, "direct": 0.15871190902830523, "error": -0.000017291234829380775, "absoluteError": 0.000017291234829380775, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000002079617118272875 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.4790967920695246e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.21688148149919026, "moment": 4095.9998779296875, "term": 0.000013237394716529444, "partial": 0.1587078551881924, "direct": 0.15871190902830523, "error": -0.000004053840112844265, "absoluteError": 0.000004053840112844265, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013237395111034562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.945051166723538e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.0799224746714913, "x": 3.5276850573934198, "z": 1.8855869473039912, "direct": { "potential": 0.15139836003106982, "ex": 0.047831031997163855, "ez": -0.015327498925100502, "terms": [ { "role": "real", "distance": 3.529539943219801, "potential": 0.28332304382076384, "ex": 0.08022976169109369, "ez": -0.0026020837469356937 }, { "role": "image", "distance": 3.7900412996029487, "potential": -0.13192468378969402, "ex": -0.03239872969392984, "ez": -0.012725415178164808 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.15139836003106982, "error": -0.026398360031069823, "absoluteError": 0.026398360031069823, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.4713967368259978, "moment": 1.75, "term": 0.05155901809034351, "partial": 0.17655901809034352, "direct": 0.15139836003106982, "error": 0.0251606580592737, "absoluteError": 0.0251606580592737, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.058924592103249726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.007365574012906216 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.16667767476470147, "moment": 3.875, "term": -0.010091812339269033, "partial": 0.1664672057510745, "direct": 0.15139836003106982, "error": 0.015068845720004664, "absoluteError": 0.015068845720004664, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.010417354672793842 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00032554233352480755 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.4452166778603739, "moment": 7.9375, "term": -0.013804325705143429, "partial": 0.15266288004593104, "direct": 0.15139836003106982, "error": 0.0012645200148612146, "absoluteError": 0.0012645200148612146, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013913021183136684 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010869547799325534 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.24227069989328437, "moment": 15.96875, "term": -0.0037780861708211766, "partial": 0.14888479387510986, "direct": 0.15139836003106982, "error": -0.002513566155959962, "absoluteError": 0.002513566155959962, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0037854796858325683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000007393515011391735 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.15060323104345835, "moment": 31.984375, "term": 0.0011760132367933625, "partial": 0.15006080711190323, "direct": 0.15139836003106982, "error": -0.0013375529191665958, "absoluteError": 0.0013375529191665958, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011765877425270184 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.745057336557707e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 63.9921875, "term": 0.0012969029224243556, "partial": 0.15135771003432757, "direct": 0.15139836003106982, "error": -0.00004064999674224801, "absoluteError": 0.00004064999674224801, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012970612550970968 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.5833267274134483e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.1616030183471398, "moment": 127.99609375, "term": 0.00031562126291875424, "partial": 0.15167333129724633, "direct": 0.15139836003106982, "error": 0.00027497126617651024, "absoluteError": 0.00027497126617651024, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00031563089520925743 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -9.632290503212202e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.14770584206036177, "moment": 255.998046875, "term": -0.00014424288589279114, "partial": 0.15152908841135354, "direct": 0.15139836003106982, "error": 0.0001307283802837178, "absoluteError": 0.0001307283802837178, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00014424398638707205 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.100494280907227e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.27516678111697346, "moment": 511.9990234375, "term": -0.00013435852357323715, "partial": 0.15139472988778033, "direct": 0.15139836003106982, "error": -0.0000036301432894958463, "absoluteError": 0.0000036301432894958463, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001343587798422722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.5626903503851356e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.11351891527843869, "moment": 1023.99951171875, "term": -0.000027714565710059014, "partial": 0.15136701532207025, "direct": 0.15139836003106982, "error": -0.00003134470899956998, "absoluteError": 0.00003134470899956998, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002771457892540007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.3215341055583987e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.14799149457579938, "moment": 2047.999755859375, "term": 0.000018065365836650203, "partial": 0.1513850806879069, "direct": 0.15139836003106982, "error": -0.000013279343162919677, "absoluteError": 0.000013279343162919677, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000018065367990209885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.1535596835863454e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 4095.9998779296875, "term": 0.000014512381278041204, "partial": 0.15139959306918493, "direct": 0.15139836003106982, "error": 0.000001233038115111551, "absoluteError": 0.000001233038115111551, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000014512381710543882 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.3250267835092194e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.1290098598838318, "x": 3.6159571724937734, "z": 1.7102203737211288, "direct": { "potential": 0.14454146778915616, "ex": 0.04313964586215839, "ez": -0.016984890821465964, "terms": [ { "role": "real", "distance": 3.6275499314434647, "potential": 0.2756681558900232, "ex": 0.07575007741826799, "ez": -0.00607054455507356 }, { "role": "image", "distance": 3.813106296220822, "potential": -0.13112668810086703, "ex": -0.0326104315561096, "ez": -0.010914346266392405 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.14454146778915616, "error": -0.019541467789156164, "absoluteError": 0.019541467789156164, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.4275550934302822, "moment": 1.75, "term": 0.04676383834393712, "partial": 0.1717638383439371, "direct": 0.14454146778915616, "error": 0.02722237055478094, "absoluteError": 0.02722237055478094, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.053444386678785274 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.006680548334848159 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.22579496312273395, "moment": 3.875, "term": -0.013671179407821782, "partial": 0.15809265893611535, "direct": 0.14454146778915616, "error": 0.013551191146959185, "absoluteError": 0.013551191146959185, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.014112185195170872 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00044100578734908974 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.44593637321023416, "moment": 7.9375, "term": -0.013826640477954037, "partial": 0.1442660184581613, "direct": 0.14454146778915616, "error": -0.0002754493309948536, "absoluteError": 0.0002754493309948536, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013935511662819818 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010887118486577982 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.16431292115370957, "moment": 15.96875, "term": -0.002562374960618457, "partial": 0.14170364349754283, "direct": 0.14454146778915616, "error": -0.0028378242916133334, "absoluteError": 0.0028378242916133334, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.002567389393026712 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000005014432408255297 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.2302940111279689, "moment": 31.984375, "term": 0.0017982934600027174, "partial": 0.14350193695754557, "direct": 0.14454146778915616, "error": -0.0010395308316105967, "absoluteError": 0.0010395308316105967, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.001799171961937257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -8.785019345396763e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.31744362627588885, "moment": 63.9921875, "term": 0.0012398627962235478, "partial": 0.1447417997537691, "direct": 0.14454146778915616, "error": 0.00020033196461294311, "absoluteError": 0.00020033196461294311, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012400141651401908 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.513689166430897e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.05466517771689212, "moment": 127.99609375, "term": 0.00010676466692980551, "partial": 0.1448485644206989, "direct": 0.14454146778915616, "error": 0.00030709663154274147, "absoluteError": 0.00030709663154274147, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00010676792522830492 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.2582984993989538e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.23393996955491125, "moment": 255.998046875, "term": -0.00022845525852987, "partial": 0.14462010916216905, "direct": 0.14454146778915616, "error": 0.00007864137301288876, "absoluteError": 0.00007864137301288876, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022845700151846802 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7429885980107729e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.23752213954636708, "moment": 511.9990234375, "term": -0.00011597738599064402, "partial": 0.1445041317761784, "direct": 0.14454146778915616, "error": -0.00003733601297775668, "absoluteError": 0.00003733601297775668, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00011597760720037455 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.2120973053049956e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.017593751524955882, "moment": 1023.99951171875, "term": 0.0000042953474452151864, "partial": 0.1445084271236236, "direct": 0.14454146778915616, "error": -0.00003304066553255769, "absoluteError": 0.00003304066553255769, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000004295349493397432 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.048182245920864e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.23028996864377696, "moment": 2047.999755859375, "term": 0.000028111565086800953, "partial": 0.14453653868871041, "direct": 0.14454146778915616, "error": -0.000004929100445749679, "absoluteError": 0.000004929100445749679, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000028111568437961055 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.3511601016475027e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.17259055513292185, "moment": 4095.9998779296875, "term": 0.000010534091185871734, "partial": 0.14454707277989629, "direct": 0.14454146778915616, "error": 0.0000056049907401212185, "absoluteError": 0.0000056049907401212185, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000010534091499812124 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.1394039093888177e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.1780972450961724, "x": 3.695518130045147, "z": 1.5307337294603593, "direct": { "potential": 0.13811768915280456, "ex": 0.03876708957999192, "ez": -0.018203781462438708, "terms": [ { "role": "real", "distance": 3.7251932946034576, "potential": 0.2684424460466685, "ex": 0.07148730083528727, "ez": -0.009077638878613962 }, { "role": "image", "distance": 3.8365695967282596, "potential": -0.13032475689386394, "ex": -0.03272021125529535, "ez": -0.009126142583824746 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.13811768915280456, "error": -0.013117689152804562, "absoluteError": 0.013117689152804562, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.38268343236508984, "moment": 1.75, "term": 0.041856000414931704, "partial": 0.1668560004149317, "direct": 0.13811768915280456, "error": 0.028738311262127142, "absoluteError": 0.028738311262127142, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.04783542904563623 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.005979428630704529 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.2803300858899106, "moment": 3.875, "term": -0.01697311066911568, "partial": 0.14988288974581604, "direct": 0.13811768915280456, "error": 0.011765200593011477, "absoluteError": 0.011765200593011477, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.017520630368119412 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0005475196990037316 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.4339184206826456, "moment": 7.9375, "term": -0.0134540135319082, "partial": 0.1364288762139078, "direct": 0.13811768915280456, "error": -0.0016888129388967499, "absoluteError": 0.0016888129388967499, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013559950646332674 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010593711442447402 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.08034586912079625, "moment": 15.96875, "term": -0.0012529522436745264, "partial": 0.13517592397023329, "direct": 0.13811768915280456, "error": -0.0029417651825712765, "absoluteError": 0.0029417651825712765, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0012554042050124414 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000024519613379149246 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.2917900771974118, "moment": 31.984375, "term": 0.002278496887295158, "partial": 0.13745442085752846, "direct": 0.13811768915280456, "error": -0.0006632682952761038, "absoluteError": 0.0006632682952761038, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0022796099781047796 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000011130908096214744 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.271670809432627, "moment": 63.9921875, "term": 0.0010610845566094626, "partial": 0.13851550541413793, "direct": 0.13811768915280456, "error": 0.0003978162613333669, "absoluteError": 0.0003978162613333669, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010612140993461992 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2954273673659659e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.057029933061775964, "moment": 127.99609375, "term": -0.00011138318876237947, "partial": 0.13840412222537554, "direct": 0.13811768915280456, "error": 0.0002864330725709796, "absoluteError": 0.0002864330725709796, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00011138658801128118 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.399248901711462e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.27863272800035815, "moment": 255.998046875, "term": -0.0002721001974622529, "partial": 0.13813202202791328, "direct": 0.13811768915280456, "error": 0.000014332875108713505, "absoluteError": 0.000014332875108713505, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00027210227343784976 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.075975596907423e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.15071541375033626, "moment": 511.9990234375, "term": -0.00007359137025561421, "partial": 0.13805843065765766, "direct": 0.13811768915280456, "error": -0.00005925849514690218, "absoluteError": 0.00005925849514690218, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00007359151062028138 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.4036466716820026e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.14118450069614602, "moment": 1023.99951171875, "term": 0.00003446885580423094, "partial": 0.1380928995134619, "direct": 0.13811768915280456, "error": -0.00002478963934265943, "absoluteError": 0.00002478963934265943, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000034468872240270024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.643603908551694e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.24016022666268785, "moment": 2047.999755859375, "term": 0.00002931643042399388, "partial": 0.1381222159438859, "direct": 0.13811768915280456, "error": 0.000004526791081344017, "absoluteError": 0.000004526791081344017, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002931643391878514 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.4947912596208022e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.046732775754172264, "moment": 4095.9998779296875, "term": 0.0000028523421851456916, "partial": 0.13812506828607105, "direct": 0.13811768915280456, "error": 0.0000073791332664829845, "absoluteError": 0.0000073791332664829845, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000028523422701521157 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -8.500642389512407e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.227184630308513, "x": 3.7661762607320832, "z": 1.3475594135688802, "direct": { "potential": 0.13210317497804958, "ex": 0.034709945210482776, "ez": -0.01904996719048924, "terms": [ { "role": "real", "distance": 3.8222718827582742, "potential": 0.2616245077988455, "ex": 0.06744285000543358, "ez": -0.011683588223663695 }, { "role": "image", "distance": 3.8603679340745645, "potential": -0.12952133282079592, "ex": -0.03273290479495081, "ez": -0.007366378966825544 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.13210317497804958, "error": -0.007103174978049576, "absoluteError": 0.007103174978049576, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.33688985339222005, "moment": 1.75, "term": 0.036847327714774065, "partial": 0.16184732771477406, "direct": 0.13210317497804958, "error": 0.029744152736724483, "absoluteError": 0.029744152736724483, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.042111231674027506 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.005263903959253438 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.3297578400220527, "moment": 3.875, "term": -0.019965806720085223, "partial": 0.14188152099468884, "direct": 0.13210317497804958, "error": 0.009778346016639267, "absoluteError": 0.009778346016639267, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.020609865001378295 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0006440582812930717 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.4097466862280876, "moment": 7.9375, "term": -0.012704548132560332, "partial": 0.1291769728621285, "direct": 0.13210317497804958, "error": -0.002926202115921067, "absoluteError": 0.002926202115921067, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.012804583944627737 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001000358120674042 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.005749253176714847, "moment": 15.96875, "term": 0.00008965662760318868, "partial": 0.1292666294897317, "direct": 0.13210317497804958, "error": -0.002836545488317882, "absoluteError": 0.002836545488317882, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.00008983208088616948 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -1.7545328298079977e-7 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.33128370609014285, "moment": 31.984375, "term": 0.0025868902067814727, "partial": 0.13185351969651318, "direct": 0.13210317497804958, "error": -0.0002496552815363928, "absoluteError": 0.0002496552815363928, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002588153953829241 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001263747047768184 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.19982017417529344, "moment": 63.9921875, "term": 0.0007804522736882346, "partial": 0.1326339719702014, "direct": 0.13210317497804958, "error": 0.000530796992151833, "absoluteError": 0.000530796992151833, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00078054755537224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -9.528168400540039e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.15893945388078068, "moment": 127.99609375, "term": -0.0003104191473312104, "partial": 0.1323235528228702, "direct": 0.13210317497804958, "error": 0.00022037784482062395, "absoluteError": 0.00022037784482062395, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00031042862086089976 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 9.473529689358513e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.27523969487113625, "moment": 255.998046875, "term": -0.0002687867138270639, "partial": 0.13205476610904313, "direct": 0.13210317497804958, "error": -0.00004840886900644992, "absoluteError": 0.00004840886900644992, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000268788764522594 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0506955301101227e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.033868577405812755, "moment": 511.9990234375, "term": -0.000016537359768861303, "partial": 0.13203822874927426, "direct": 0.13210317497804958, "error": -0.00006494622877531442, "absoluteError": 0.00006494622877531442, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00001653739131143201 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.154257070814516e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.22603676323801275, "moment": 1023.99951171875, "term": 0.00005518473033576292, "partial": 0.13209341347961004, "direct": 0.13210317497804958, "error": -0.000009761498439536664, "absoluteError": 0.000009761498439536664, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000055184756649905457 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.6314142537071923e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.1761659187869777, "moment": 2047.999755859375, "term": 0.000021504626194624473, "partial": 0.13211491810580467, "direct": 0.13210317497804958, "error": 0.000011743127755092786, "absoluteError": 0.000011743127755092786, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002150462875817599 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.563551516315459e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.09344905440854791, "moment": 4095.9998779296875, "term": -0.000005703677467257633, "partial": 0.1321092144283374, "direct": 0.13210317497804958, "error": 0.000006039450287820269, "absoluteError": 0.000006039450287820269, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000005703677637240473 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.6998283974052885e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.2762720155208536, "x": 3.8277613429288357, "z": 1.1611387090178493, "direct": { "potential": 0.12647428422496707, "ex": 0.030960253256507184, "ez": -0.01958106802698688, "terms": [ { "role": "real", "distance": 3.9186024503550505, "potential": 0.25519302166245356, "ex": 0.06361378474388868, "ez": -0.013941083785983363 }, { "role": "image", "distance": 3.8844383494891708, "potential": -0.1287187374374865, "ex": -0.032653531487381496, "ez": -0.005639984241003517 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.12647428422496707, "error": -0.0014742842249670651, "absoluteError": 0.0014742842249670651, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.29028467725446233, "moment": 1.75, "term": 0.031749886574706815, "partial": 0.15674988657470681, "direct": 0.12647428422496707, "error": 0.03027560234973975, "absoluteError": 0.03027560234973975, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.03628558465680779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.004535698082100974 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.37360220922690895, "moment": 3.875, "term": -0.022620446261785502, "partial": 0.13412944031292132, "direct": 0.12647428422496707, "error": 0.007655156087954251, "absoluteError": 0.007655156087954251, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02335013807668181 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0007296918148963066 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.3742747793812871, "moment": 7.9375, "term": -0.011604711177105338, "partial": 0.12252472913581597, "direct": 0.12647428422496707, "error": -0.003949555089151097, "absoluteError": 0.003949555089151097, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.011696086855665222 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009137567855988455 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.09007074823011321, "moment": 15.96875, "term": 0.0014046066999996293, "partial": 0.1239293358358156, "direct": 0.12647428422496707, "error": -0.0025449483891514663, "absoluteError": 0.0025449483891514663, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.001407355441095519 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000027487410958896854 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.3464829080491131, "moment": 31.984375, "term": 0.0027055759917317753, "partial": 0.12663491182754738, "direct": 0.12647428422496707, "error": 0.0001606276025803155, "absoluteError": 0.0001606276025803155, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002706897719133696 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.00000132172740192075 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.1093352882264836, "moment": 63.9921875, "term": 0.0004270388345065723, "partial": 0.12706195066205395, "direct": 0.12647428422496707, "error": 0.0005876664370868812, "absoluteError": 0.0005876664370868812, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00042709096963470156 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -5.213512812923603e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.23804268331073558, "moment": 127.99609375, "term": -0.0004649129273917003, "partial": 0.12659703773466224, "direct": 0.12647428422496707, "error": 0.00012275350969517818, "absoluteError": 0.00012275350969517818, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00046492711584128043 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.41884495801172e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2252311462562539, "moment": 255.998046875, "term": -0.00021995061316306482, "partial": 0.1263770871214992, "direct": 0.12647428422496707, "error": -0.00009719710346786647, "absoluteError": 0.00009719710346786647, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00021995229126587295 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.6781028081197582e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.08809576736764968, "moment": 511.9990234375, "term": 0.00004301542936440832, "partial": 0.12642010255086358, "direct": 0.12647428422496707, "error": -0.000054181674103481736, "absoluteError": 0.000054181674103481736, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000043015511409985195 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -8.204557687756576e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.251296449286453, "moment": 1023.99951171875, "term": 0.00006135164293431842, "partial": 0.12648145419379792, "direct": 0.12647428422496707, "error": 0.000007169968830850193, "absoluteError": 0.000007169968830850193, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00006135167218907544 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.925475701764843e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.05917636441145646, "moment": 2047.999755859375, "term": 0.000007223676435190931, "partial": 0.1264886778702331, "direct": 0.12647428422496707, "error": 0.000014393645266036481, "absoluteError": 0.000014393645266036481, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000007223677296320369 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -8.611294384384595e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.19743059414439376, "moment": 4095.9998779296875, "term": -0.00001205020680300925, "partial": 0.1264766276634301, "direct": 0.12647428422496707, "error": 0.000002343438463031644, "absoluteError": 0.000002343438463031644, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012050207162133408 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.5912415868441487e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.325359400733194, "x": 3.880125012778176, "z": 0.9719207196130559, "direct": { "potential": 0.12120794783307065, "ex": 0.02750690148296512, "ez": -0.019847326841718416, "terms": [ { "role": "real", "distance": 4.014015087359262, "potential": 0.24912711542842741, "ex": 0.05999412403833443, "ez": -0.01589606408702122 }, { "role": "image", "distance": 3.9087183680059305, "potential": -0.12791916759535676, "ex": -0.03248722255536931, "ez": -0.003951262754697196 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.12120794783307065, "error": 0.0037920521669293494, "absoluteError": 0.0037920521669293494, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.24298017990326398, "moment": 1.75, "term": 0.026575957176919497, "partial": 0.1515759571769195, "direct": 0.12120794783307065, "error": 0.03036800934384884, "absoluteError": 0.03036800934384884, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.030372522487907998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0037965653109884997 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.4114409482612662, "moment": 3.875, "term": -0.024911463664256353, "partial": 0.12666449351266315, "direct": 0.12120794783307065, "error": 0.0054565456795925005, "absoluteError": 0.0054565456795925005, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.025715059266329138 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008035956020727856 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.3286067793156626, "moment": 7.9375, "term": -0.010188735589133094, "partial": 0.11647575792353004, "direct": 0.12120794783307065, "error": -0.004732189909540607, "absoluteError": 0.004732189909540607, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.010268961853614457 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00008022626448136294 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.1688520760737339, "moment": 15.96875, "term": 0.0026331607322289436, "partial": 0.119108918655759, "direct": 0.12120794783307065, "error": -0.0020990291773116537, "absoluteError": 0.0020990291773116537, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.002638313688652092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000051529564231486175 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.336735297531114, "moment": 31.984375, "term": 0.0026294599687430964, "partial": 0.1217383786245021, "direct": 0.12120794783307065, "error": 0.0005304307914314466, "absoluteError": 0.0005304307914314466, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002630744511961828 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000012845432187313613 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.009293275757351968, "moment": 63.9921875, "term": 0.00003629742704795359, "partial": 0.12177467605155004, "direct": 0.12120794783307065, "error": 0.0005667282184793898, "absoluteError": 0.0005667282184793898, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.000036301858427156124 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.4313792025337065e-9 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2844366745123325, "moment": 127.99609375, "term": -0.000555523426159954, "partial": 0.12121915262539008, "direct": 0.12120794783307065, "error": 0.000011204792319433055, "absoluteError": 0.000011204792319433055, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005555403799068994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.6953746945400984e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.13771750568285676, "moment": 255.998046875, "term": -0.0001344887255680391, "partial": 0.12108466389982205, "direct": 0.12120794783307065, "error": -0.0001232839332486052, "absoluteError": 0.0001232839332486052, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001344897516434148 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.0260753756974396e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.18962542032062463, "moment": 511.9990234375, "term": 0.00009259036066349533, "partial": 0.12117725426048555, "direct": 0.12120794783307065, "error": -0.000030693572585102635, "absoluteError": 0.000030693572585102635, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009259053726593 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.766024346655464e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.2114886707276722, "moment": 1023.99951171875, "term": 0.00005163295163135143, "partial": 0.1212288872121169, "direct": 0.12120794783307065, "error": 0.000020939379046250317, "absoluteError": 0.000020939379046250317, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005163297625187309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.4620521665512606e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.07428323115700869, "moment": 2047.999755859375, "term": -0.000009067776159882504, "partial": 0.12121981943595701, "direct": 0.12120794783307065, "error": 0.000011871602886362465, "absoluteError": 0.000011871602886362465, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000009067777240845787 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.0809632826859697e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.22845920783515714, "moment": 4095.9998779296875, "term": -0.000013944043031405161, "partial": 0.12120587539292561, "direct": 0.12120794783307065, "error": -0.0000020724401450372687, "absoluteError": 0.0000020724401450372687, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001394404344697004 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.1556487819463134e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.3744467859455345, "x": 3.9231411216129217, "z": 0.7803612880645133, "direct": { "potential": 0.1162819179026214, "ex": 0.024336686931689208, "ez": -0.01989240221659404, "terms": [ { "role": "real", "distance": 4.108351840792357, "potential": 0.24340661139848602, "ex": 0.056575844025983535, "ez": -0.017588480096822193 }, { "role": "image", "distance": 3.933146159493121, "potential": -0.1271246934958646, "ex": -0.03223915709429433, "ez": -0.0023039221197718486 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.1162819179026214, "error": 0.008718082097378593, "absoluteError": 0.008718082097378593, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.19509032201612833, "moment": 1.75, "term": 0.021338003970514035, "partial": 0.14633800397051402, "direct": 0.1162819179026214, "error": 0.030056086067892618, "absoluteError": 0.030056086067892618, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.02438629025201604 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.003048286281502005 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.442909649383465, "moment": 3.875, "term": -0.026816795177514483, "partial": 0.11952120879299954, "direct": 0.1162819179026214, "error": 0.003239290890378138, "absoluteError": 0.003239290890378138, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.027681853086466562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008650579089520801 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.2740725248812033, "moment": 7.9375, "term": -0.008497854165017778, "partial": 0.11102335462798177, "direct": 0.1162819179026214, "error": -0.005258563274639638, "absoluteError": 0.005258563274639638, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.008564766402537604 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00006691223751982503 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.23861166705161596, "moment": 15.96875, "term": 0.0037210254474907153, "partial": 0.11474438007547248, "direct": 0.1162819179026214, "error": -0.0015375378271489243, "absoluteError": 0.0015375378271489243, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0037283072976814994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000072818501907841785 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.3030495084363916, "moment": 31.984375, "term": 0.002366418242528128, "partial": 0.11711079831800061, "direct": 0.1162819179026214, "error": 0.0008288804153792073, "absoluteError": 0.0008288804153792073, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0023675742846593095 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000011560421311813035 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.09045267453225737, "moment": 63.9921875, "term": -0.00035328762869535455, "partial": 0.11675751068930526, "direct": 0.1162819179026214, "error": 0.00047559278668385385, "absoluteError": 0.00047559278668385385, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00035333075989163037 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 4.3131196275833785e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2925286841200979, "moment": 127.99609375, "term": -0.0005713276501037627, "partial": 0.1161861830392015, "direct": 0.1162819179026214, "error": -0.00009573486341990511, "absoluteError": 0.00009573486341990511, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005713450861720662 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.743606830359089e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.027859250754170145, "moment": 255.998046875, "term": -0.000027206091997026167, "partial": 0.11615897694720448, "direct": 0.1162819179026214, "error": -0.00012294095541692807, "absoluteError": 0.00012294095541692807, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000027206299564619282 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.075675931138556e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.24975925328309756, "moment": 511.9990234375, "term": 0.00012195252778570667, "partial": 0.11628092947499018, "direct": 0.1162819179026214, "error": -9.88427631229416e-7, "absoluteError": 9.88427631229416e-7, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012195276039213748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.3260643080165382e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.11765199066281692, "moment": 1023.99951171875, "term": 0.00002872361683641993, "partial": 0.1163096530918266, "direct": 0.1162819179026214, "error": 0.000027735189205194133, "absoluteError": 0.000027735189205194133, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028723630532914288 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3696494356591362e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.1832349521092526, "moment": 2047.999755859375, "term": -0.00002236754519847951, "partial": 0.11628728554662812, "direct": 0.1162819179026214, "error": 0.000005367644006715189, "absoluteError": 0.000005367644006715189, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000022367547864899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.666419489967704e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.17636344257982306, "moment": 4095.9998779296875, "term": -0.00001076436995384417, "partial": 0.11627652117667428, "direct": 0.1162819179026214, "error": -0.0000053967259471265905, "absoluteError": 0.0000053967259471265905, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010764370274647404 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.2080323322556625e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.423534171157875, "x": 3.956706039859124, "z": 0.586921897821447, "direct": { "potential": 0.11167493020603658, "ex": 0.02143512038614845, "ez": -0.01975412293453581, "terms": [ { "role": "real", "distance": 4.201465507262224, "potential": 0.23801218843079924, "ex": 0.05334962591412846, "ez": -0.019053017176215725 }, { "role": "image", "distance": 3.957660685579116, "potential": -0.12633725822476266, "ex": -0.03191450552798001, "ez": -0.000701105758320083 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.11167493020603658, "error": 0.013325069793963418, "absoluteError": 0.013325069793963418, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.14673047445536175, "moment": 1.75, "term": 0.016048645643555192, "partial": 0.14104864564355518, "direct": 0.11167493020603658, "error": 0.0293737154375186, "absoluteError": 0.0293737154375186, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.01834130930692022 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0022926636633650273 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 3.875, "term": -0.028318091417527065, "partial": 0.11273055422602812, "direct": 0.11167493020603658, "error": 0.0010556240199915412, "absoluteError": 0.0010556240199915412, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.029231578237447292 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009134868199202279 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.21219800547316567, "moment": 7.9375, "term": -0.006579381517356455, "partial": 0.10615117270867166, "direct": 0.11167493020603658, "error": -0.005523757497364917, "absoluteError": 0.005523757497364917, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.006631187671036427 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00005180615367997209 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.29629108931163917, "moment": 15.96875, "term": 0.004620506184028553, "partial": 0.11077167889270023, "direct": 0.11167493020603658, "error": -0.0009032513133363507, "absoluteError": 0.0009032513133363507, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.004629548270494362 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000090420864658093 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.24801328217939952, "moment": 31.984375, "term": 0.0019366576714371904, "partial": 0.11270833656413741, "direct": 0.11167493020603658, "error": 0.0010334063581008274, "absoluteError": 0.0010334063581008274, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0019376037670265588 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -9.460955893684369e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.18019221238977212, "moment": 63.9921875, "term": -0.0007037899073050611, "partial": 0.11200454665683235, "direct": 0.11167493020603658, "error": 0.0003296164507957666, "absoluteError": 0.0003296164507957666, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0007038758296475474 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 8.592234248627287e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.26168509252840866, "moment": 127.99609375, "term": -0.000511088098697565, "partial": 0.11149345855813479, "direct": 0.11167493020603658, "error": -0.00018147164790179027, "absoluteError": 0.00018147164790179027, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005111036963445482 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.5597646983171025e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.08567347749494691, "moment": 255.998046875, "term": 0.00008366486704901, "partial": 0.1115771234251838, "direct": 0.11167493020603658, "error": -0.00009780678085277716, "absoluteError": 0.00009780678085277716, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0000836655053661591 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.383171490948417e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.25635402336061475, "moment": 511.9990234375, "term": 0.00012517262422076113, "partial": 0.11170229604940456, "direct": 0.11167493020603658, "error": 0.000027365843367974096, "absoluteError": 0.000027365843367974096, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012517286296905017 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.3874828904924425e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.005637729540588832, "moment": 1023.99951171875, "term": -0.0000013763981573022214, "partial": 0.11170091965124726, "direct": 0.11167493020603658, "error": 0.00002598944521067792, "absoluteError": 0.00002598944521067792, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000013763988136203202 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 6.563180988408662e-13 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.23462836317666555, "moment": 2047.999755859375, "term": -0.000028641154200047004, "partial": 0.11167227849704721, "direct": 0.11167493020603658, "error": -0.0000026517089893735024, "absoluteError": 0.0000026517089893735024, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000028641157614339056 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.4142920511173077e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.06081741576618794, "moment": 4095.9998779296875, "term": -0.0000037120003633842594, "partial": 0.11166856649668383, "direct": 0.11167493020603658, "error": -0.0000063637093527524335, "absoluteError": 0.0000063637093527524335, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000037120004740104943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.1062623482973857e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.4726215563702154, "x": 3.9807389066887873, "z": 0.3920685613182431, "direct": { "potential": 0.10736680190094483, "ex": 0.0187870295847243, "ez": -0.019465186756434615, "terms": [ { "role": "real", "distance": 4.2932185775624125, "potential": 0.23292548048363665, "ex": 0.05030541007711105, "ez": -0.02031975778739228 }, { "role": "image", "distance": 3.982201832991612, "potential": -0.12555867858269182, "ex": -0.03151838049238675, "ez": 0.0008545710309576645 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.10736680190094483, "error": 0.01763319809905517, "absoluteError": 0.01763319809905517, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.09801714032956077, "moment": 1.75, "term": 0.01072062472354571, "partial": 0.1357206247235457, "direct": 0.10736680190094483, "error": 0.028353822822600877, "absoluteError": 0.028353822822600877, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.012252142541195096 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.001531517817649387 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.48558896030242277, "moment": 3.875, "term": -0.029400894080810754, "partial": 0.10631973064273495, "direct": 0.10736680190094483, "error": -0.0010470712582098807, "absoluteError": 0.0010470712582098807, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.030349310018901423 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009484159380906695 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.14467149566045398, "moment": 7.9375, "term": -0.004485664050018959, "partial": 0.101834066592716, "direct": 0.10736680190094483, "error": -0.005532735308228828, "absoluteError": 0.005532735308228828, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.004520984239389187 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00003532018937022802 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.3393762192161003, "moment": 15.96875, "term": 0.005292396484967873, "partial": 0.10712646307768386, "direct": 0.10736680190094483, "error": -0.000240338823260966, "absoluteError": 0.000240338823260966, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005302753425251567 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000010356940283694467 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.1756136322345197, "moment": 31.984375, "term": 0.0013713115889894937, "partial": 0.10849777466667336, "direct": 0.10736680190094483, "error": 0.0011309727657285301, "absoluteError": 0.0011309727657285301, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0013719815018321852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -6.699128426914967e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.25125608161680646, "moment": 63.9921875, "term": -0.0009813492605797109, "partial": 0.10751642540609366, "direct": 0.10736680190094483, "error": 0.00014962350514882705, "absoluteError": 0.00014962350514882705, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009814690688156502 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.1980823593941043e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.19626257533478422, "moment": 127.99609375, "term": -0.0003833136442896649, "partial": 0.10713311176180398, "direct": 0.10736680190094483, "error": -0.00023369013914084635, "absoluteError": 0.00023369013914084635, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00038332534245075044 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.1698161085533155e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.1837795156871484, "moment": 255.998046875, "term": 0.00017947081402413717, "partial": 0.10731258257582812, "direct": 0.10736680190094483, "error": -0.000054219325116705575, "absoluteError": 0.000054219325116705575, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017947218328823086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3692640936907261e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.20848120294644165, "moment": 511.9990234375, "term": 0.00010179726821294152, "partial": 0.10741437984404106, "direct": 0.10736680190094483, "error": 0.00004757794309623309, "absoluteError": 0.00004757794309623309, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00010179746237619221 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.9416325068701212e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.12657557460040725, "moment": 1023.99951171875, "term": -0.000030902225157341295, "partial": 0.10738347761888373, "direct": 0.10736680190094483, "error": 0.00001667571793889655, "absoluteError": 0.00001667571793889655, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003090223989267755 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4735336252535606e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.21321364749821614, "moment": 2047.999755859375, "term": -0.000026027053476705164, "partial": 0.10735745056540702, "direct": 0.10736680190094483, "error": -0.000009351335537810535, "absoluteError": 0.000009351335537810535, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000026027056579372088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.1026669239249334e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.07597197537027052, "moment": 4095.9998779296875, "term": 0.0000046369612491533945, "partial": 0.10736208752665617, "direct": 0.10736680190094483, "error": -0.000004714374288658507, "absoluteError": 0.000004714374288658507, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000004636961387345613 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.3819221816496887e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.521708941582556, "x": 3.9951818248206896, "z": 0.1962706973096725, "direct": { "potential": 0.10333848136683768, "ex": 0.016377006246345163, "ez": -0.01905379574077464, "terms": [ { "role": "real", "distance": 4.383482315552477, "potential": 0.22812912839913302, "ex": 0.04743280116668744, "ez": -0.02141477838167678 }, { "role": "image", "distance": 4.006710533928091, "potential": -0.12479064703229534, "ex": -0.031055794920342276, "ez": 0.002360982640902138 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.10333848136683768, "error": 0.02166151863316232, "absoluteError": 0.02166151863316232, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.049067674327418126, "moment": 1.75, "term": 0.005366776879561358, "partial": 0.13036677687956136, "direct": 0.10333848136683768, "error": 0.027028295512723677, "absoluteError": 0.027028295512723677, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.006133459290927266 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0007666824113659082 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 3.875, "term": -0.030054775185798, "partial": 0.10031200169376336, "direct": 0.10333848136683768, "error": -0.003026479673074317, "absoluteError": 0.003026479673074317, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.031024284062759228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009695088769612259 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.0733061686618195, "moment": 7.9375, "term": -0.0022729207568484076, "partial": 0.09803908093691495, "direct": 0.10333848136683768, "error": -0.005299400429922732, "absoluteError": 0.005299400429922732, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0022908177706818596 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000017897013833452028 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.36599672313545506, "moment": 15.96875, "term": 0.005707529465399705, "partial": 0.10374661040231466, "direct": 0.10333848136683768, "error": 0.00040812903547697565, "absoluteError": 0.00040812903547697565, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005718698798991485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011169333591780245 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.09097042935773851, "moment": 31.984375, "term": 0.0007103594547092085, "partial": 0.10445696985702387, "direct": 0.10333848136683768, "error": 0.0011184884901861841, "absoluteError": 0.0011184884901861841, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0007107064793573321 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -3.470246481236973e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.2968138057107692, "moment": 63.9921875, "term": -0.0011592873967060616, "partial": 0.1032976824603178, "direct": 0.10333848136683768, "error": -0.000040798906519881606, "absoluteError": 0.000040798906519881606, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0011594289285576922 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.4153185163057766e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.10502201387927136, "moment": 127.99609375, "term": -0.00020511486105812102, "partial": 0.10309256759925968, "direct": 0.10333848136683768, "error": -0.00024591376757800154, "absoluteError": 0.00024591376757800154, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00020512112085795188 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 6.2597998308701135e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.2500498562952274, "moment": 255.998046875, "term": 0.00024418744977170045, "partial": 0.10333675504903138, "direct": 0.10333848136683768, "error": -0.000001726317806302613, "absoluteError": 0.000001726317806302613, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.000244189312788308 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.863016607576813e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.11652836828638595, "moment": 511.9990234375, "term": 0.00005689850880183692, "partial": 0.10339365355783321, "direct": 0.10333848136683768, "error": 0.000055172190995531056, "absoluteError": 0.000055172190995531056, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00005689861732733689 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.0852549996821764e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.2141810962182392, "moment": 1023.99951171875, "term": -0.000052290281759944805, "partial": 0.10334136327607327, "direct": 0.10333848136683768, "error": 0.0000028819092355858444, "absoluteError": 0.0000028819092355858444, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005229030669390605 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.4933961245492007e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.12599821969697317, "moment": 2047.999755859375, "term": -0.000015380640219337758, "partial": 0.10332598263585394, "direct": 0.10333848136683768, "error": -0.000012498730983745432, "absoluteError": 0.000012498730983745432, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001538064205285317 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.833515411955496e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.18448299561436196, "moment": 4095.9998779296875, "term": 0.000011259948127218033, "partial": 0.10333724258398115, "direct": 0.10333848136683768, "error": -0.0000012387828565302295, "absoluteError": 0.0000012387828565302295, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011259948462790647 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.355726141569211e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.5707963267948966, "x": 4, "z": 2.4492935982947064e-16, "direct": { "potential": 0.0995720631607705, "ex": 0.014189732574190619, "ez": -0.018544226403022245, "terms": [ { "role": "real", "distance": 4.47213595499958, "potential": 0.22360679774997896, "ex": 0.04472135954999579, "ez": -0.02236067977499789 }, { "role": "image", "distance": 4.031128874149275, "potential": -0.12403473458920847, "ex": -0.03053162697580517, "ez": 0.0038164533719756443 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.0995720631607705, "error": 0.025427936839229504, "absoluteError": 0.025427936839229504, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 6.123233995736766e-17, "moment": 1.75, "term": 6.697287182837088e-18, "partial": 0.125, "direct": 0.0995720631607705, "error": 0.025427936839229504, "absoluteError": 0.025427936839229504, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 7.654042494670958e-18 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -9.567553118338697e-19 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.5, "moment": 3.875, "term": -0.0302734375, "partial": 0.0947265625, "direct": 0.0995720631607705, "error": -0.0048455006607704965, "absoluteError": 0.0048455006607704965, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009765625 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -9.18485099360515e-17, "moment": 7.9375, "term": -2.847841982880503e-18, "partial": 0.0947265625, "direct": 0.0995720631607705, "error": -0.0048455006607704965, "absoluteError": 0.0048455006607704965, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -2.8702659355016093e-18 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 2.2423952621106322e-20 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.375, "moment": 15.96875, "term": 0.005847930908203125, "partial": 0.10057449340820312, "direct": 0.0995720631607705, "error": 0.0010024302474326285, "absoluteError": 0.0010024302474326285, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005859375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011444091796875 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 1.1481063742006435e-16, "moment": 31.984375, "term": 8.965201370196217e-19, "partial": 0.10057449340820312, "direct": 0.0995720631607705, "error": 0.0010024302474326285, "absoluteError": 0.0010024302474326285, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 8.969581048442527e-19 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -4.379678246309828e-22 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.3125, "moment": 63.9921875, "term": -0.0012205541133880615, "partial": 0.09935393929481506, "direct": 0.0995720631607705, "error": -0.00021812386595543298, "absoluteError": 0.00021812386595543298, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.4901161193847656e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -1.3394574365674174e-16, "moment": 127.99609375, "term": -2.6160479679110385e-19, "partial": 0.09935393929481506, "direct": 0.0995720631607705, "error": -0.00021812386595543298, "absoluteError": 0.00021812386595543298, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -2.616127805795737e-19 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.983788469835624e-24 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.2734375, "moment": 255.998046875, "term": 0.00026702677132561803, "partial": 0.09962096606614068, "direct": 0.0995720631607705, "error": 0.000048902905370185046, "absoluteError": 0.000048902905370185046, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00026702880859375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.0372681319713593e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 1.5068896161383446e-16, "moment": 511.9990234375, "term": 7.357845419797341e-20, "partial": 0.09962096606614068, "direct": 0.0995720631607705, "error": 0.000048902905370185046, "absoluteError": 0.000048902905370185046, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 7.357859453800511e-20 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.4034003169632932e-25 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.24609375, "moment": 1023.99951171875, "term": -0.000060081453284510644, "partial": 0.09956088461285617, "direct": 0.0995720631607705, "error": -0.000011178547914325598, "absoluteError": 0.000011178547914325598, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006008148193359375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.864908310584724e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -1.6575785777521791e-16, "moment": 2047.999755859375, "term": -2.023411108585711e-20, "partial": 0.09956088461285617, "direct": 0.0995720631607705, "error": -0.000011178547914325598, "absoluteError": 0.000011178547914325598, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -2.0234113497951405e-20 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.4120942947806603e-27 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.2255859375, "moment": 4095.9998779296875, "term": 0.000013768672532776804, "partial": 0.09957465328538895, "direct": 0.0995720631607705, "error": 0.000002590124618451206, "absoluteError": 0.000002590124618451206, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013768672943115234 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.1033842990145786e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.6198837120072371, "x": 3.9951818248206896, "z": -0.19627069730967203, "direct": { "potential": 0.09605077800549411, "ex": 0.012210215230664127, "ez": -0.017957336651177547, "terms": [ { "role": "real", "distance": 4.559065999658119, "potential": 0.21934317249958415, "ex": 0.042160806625343515, "ez": -0.0231770538179041 }, { "role": "image", "distance": 4.055400189538595, "potential": -0.12329239449409005, "ex": -0.02995059139467939, "ez": 0.005219717166726556 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.09605077800549411, "error": 0.02894922199450589, "absoluteError": 0.02894922199450589, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.04906767432741801, "moment": 1.75, "term": -0.005366776879561345, "partial": 0.11963322312043866, "direct": 0.09605077800549411, "error": 0.023582445114944547, "absoluteError": 0.023582445114944547, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.006133459290927251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0007666824113659064 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 3.875, "term": -0.030054775185798, "partial": 0.08957844793464065, "direct": 0.09605077800549411, "error": -0.00647233007085346, "absoluteError": 0.00647233007085346, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.031024284062759228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009695088769612259 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.07330616866181933, "moment": 7.9375, "term": 0.002272920756848402, "partial": 0.09185136869148906, "direct": 0.09605077800549411, "error": -0.004199409314005045, "absoluteError": 0.004199409314005045, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.002290817770681854 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000017897013833451984 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.3659967231354551, "moment": 15.96875, "term": 0.005707529465399706, "partial": 0.09755889815688876, "direct": 0.09605077800549411, "error": 0.0015081201513946485, "absoluteError": 0.0015081201513946485, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005718698798991486 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011169333591780246 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.09097042935773829, "moment": 31.984375, "term": -0.0007103594547092067, "partial": 0.09684853870217956, "direct": 0.09605077800549411, "error": 0.0007977606966854539, "absoluteError": 0.0007977606966854539, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0007107064793573304 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 3.470246481236965e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.29681380571076926, "moment": 63.9921875, "term": -0.0011592873967060618, "partial": 0.0956892513054735, "direct": 0.09605077800549411, "error": -0.0003615267000206118, "absoluteError": 0.0003615267000206118, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0011594289285576924 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.415318516305777e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.10502201387927111, "moment": 127.99609375, "term": 0.00020511486105812053, "partial": 0.09589436616653162, "direct": 0.09605077800549411, "error": -0.0001564118389624919, "absoluteError": 0.0001564118389624919, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002051211208579514 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -6.2597998308700986e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.25004985629522747, "moment": 255.998046875, "term": 0.0002441874497717005, "partial": 0.09613855361630332, "direct": 0.09605077800549411, "error": 0.00008777561080920704, "absoluteError": 0.00008777561080920704, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002441893127883081 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.8630166075768133e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.11652836828638567, "moment": 511.9990234375, "term": -0.000056898508801836786, "partial": 0.09608165510750148, "direct": 0.09605077800549411, "error": 0.00003087710200737337, "absoluteError": 0.00003087710200737337, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000056898617327336754 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.0852549996821738e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.21418109621823928, "moment": 1023.99951171875, "term": -0.000052290281759944826, "partial": 0.09602936482574154, "direct": 0.09605077800549411, "error": -0.000021413179752571843, "absoluteError": 0.000021413179752571843, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005229030669390607 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.4933961245492016e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.12599821969697286, "moment": 2047.999755859375, "term": 0.00001538064021933772, "partial": 0.09604474546596087, "direct": 0.09605077800549411, "error": -0.000006032539533240566, "absoluteError": 0.000006032539533240566, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000015380642052853133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.8335154119554916e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.18448299561436207, "moment": 4095.9998779296875, "term": 0.00001125994812721804, "partial": 0.09605600541408808, "direct": 0.09605077800549411, "error": 0.000005227408593974636, "absoluteError": 0.000005227408593974636, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011259948462790654 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.355726141569213e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.6689710972195777, "x": 3.9807389066887877, "z": -0.3920685613182426, "direct": { "potential": 0.09275896532393874, "ex": 0.010423948618841744, "ez": -0.017311013478169858, "terms": [ { "role": "real", "distance": 4.6441656134630875, "potential": 0.21532393183849324, "ex": 0.0397411653460662, "ez": -0.023880891071439217 }, { "role": "image", "distance": 4.079469151901782, "potential": -0.12256496651455451, "ex": -0.029317216727224454, "ez": 0.006569877593269361 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.09275896532393874, "error": 0.032241034676061264, "absoluteError": 0.032241034676061264, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.09801714032956065, "moment": 1.75, "term": -0.010720624723545695, "partial": 0.1142793752764543, "direct": 0.09275896532393874, "error": 0.02152040995251557, "absoluteError": 0.02152040995251557, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.01225214254119508 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.001531517817649385 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.4855889603024228, "moment": 3.875, "term": -0.029400894080810758, "partial": 0.08487848119564355, "direct": 0.09275896532393874, "error": -0.007880484128295187, "absoluteError": 0.007880484128295187, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.030349310018901426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009484159380906696 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.1446714956604538, "moment": 7.9375, "term": 0.004485664050018954, "partial": 0.0893641452456625, "direct": 0.09275896532393874, "error": -0.0033948200782762394, "absoluteError": 0.0033948200782762394, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.004520984239389182 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00003532018937022798 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.3393762192161004, "moment": 15.96875, "term": 0.0052923964849678744, "partial": 0.09465654173063037, "direct": 0.09275896532393874, "error": 0.0018975764066916367, "absoluteError": 0.0018975764066916367, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005302753425251569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00001035694028369447 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.1756136322345195, "moment": 31.984375, "term": -0.0013713115889894922, "partial": 0.09328523014164089, "direct": 0.09275896532393874, "error": 0.0005262648177021545, "absoluteError": 0.0005262648177021545, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0013719815018321836 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 6.699128426914959e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.2512560816168066, "moment": 63.9921875, "term": -0.0009813492605797115, "partial": 0.09230388088106117, "direct": 0.09275896532393874, "error": -0.00045508444287756245, "absoluteError": 0.00045508444287756245, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009814690688156509 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.198082359394105e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.196262575334784, "moment": 127.99609375, "term": 0.00038331364428966446, "partial": 0.09268719452535083, "direct": 0.09275896532393874, "error": -0.00007177079858790292, "absoluteError": 0.00007177079858790292, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00038332534245075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.1698161085533142e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.18377951568714862, "moment": 255.998046875, "term": 0.0001794708140241374, "partial": 0.09286666533937497, "direct": 0.09275896532393874, "error": 0.00010770001543623786, "absoluteError": 0.00010770001543623786, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017947218328823107 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3692640936907278e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.20848120294644146, "moment": 511.9990234375, "term": -0.00010179726821294143, "partial": 0.09276486807116203, "direct": 0.09275896532393874, "error": 0.0000059027472232991984, "absoluteError": 0.0000059027472232991984, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00010179746237619212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.9416325068701194e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.12657557460040753, "moment": 1023.99951171875, "term": -0.00003090222515734136, "partial": 0.0927339658460047, "direct": 0.09275896532393874, "error": -0.00002499947793403734, "absoluteError": 0.00002499947793403734, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003090223989267762 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4735336252535638e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.21321364749821595, "moment": 2047.999755859375, "term": 0.00002602705347670514, "partial": 0.09275999289948139, "direct": 0.09275896532393874, "error": 0.0000010275755426558675, "absoluteError": 0.0000010275755426558675, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000026027056579372064 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.1026669239249306e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.07597197537027085, "moment": 4095.9998779296875, "term": 0.000004636961249153415, "partial": 0.09276462986073056, "direct": 0.09275896532393874, "error": 0.000005664536791821773, "absoluteError": 0.000005664536791821773, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000004636961387345633 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.3819221816496948e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.718058482431918, "x": 3.956706039859124, "z": -0.5869218978214465, "direct": { "potential": 0.08968203397811263, "ex": 0.008817024422967924, "ez": -0.016620566400882934, "terms": [ { "role": "real", "distance": 4.727334089239493, "potential": 0.2115357157168628, "ex": 0.03745285236353518, "ez": -0.024486935076570033 }, { "role": "image", "distance": 4.103281844794658, "potential": -0.12185368173875018, "ex": -0.02863582794056726, "ez": 0.0078663686756871 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.08968203397811263, "error": 0.03531796602188737, "absoluteError": 0.03531796602188737, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.14673047445536164, "moment": 1.75, "term": -0.016048645643555178, "partial": 0.10895135435644482, "direct": 0.08968203397811263, "error": 0.01926932037833219, "absoluteError": 0.01926932037833219, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.018341309306920205 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0022926636633650256 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 3.875, "term": -0.028318091417527065, "partial": 0.08063326293891776, "direct": 0.08968203397811263, "error": -0.009048771039194867, "absoluteError": 0.009048771039194867, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.029231578237447292 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009134868199202279 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.2121980054731655, "moment": 7.9375, "term": 0.00657938151735645, "partial": 0.0872126444562742, "direct": 0.08968203397811263, "error": -0.002469389521838422, "absoluteError": 0.002469389521838422, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.006631187671036422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000051806153679972046 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.2962910893116393, "moment": 15.96875, "term": 0.0046205061840285545, "partial": 0.09183315064030276, "direct": 0.08968203397811263, "error": 0.0021511166621901306, "absoluteError": 0.0021511166621901306, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.004629548270494364 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000009042086465809304 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.24801328217939939, "moment": 31.984375, "term": -0.0019366576714371893, "partial": 0.08989649296886557, "direct": 0.08968203397811263, "error": 0.00021445899075293873, "absoluteError": 0.00021445899075293873, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0019376037670265577 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 9.460955893684364e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.18019221238977234, "moment": 63.9921875, "term": -0.0007037899073050619, "partial": 0.0891927030615605, "direct": 0.08968203397811263, "error": -0.000489330916552122, "absoluteError": 0.000489330916552122, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0007038758296475482 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 8.592234248627298e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.26168509252840855, "moment": 127.99609375, "term": 0.0005110880986975648, "partial": 0.08970379116025808, "direct": 0.08968203397811263, "error": 0.00002175718214544875, "absoluteError": 0.00002175718214544875, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005111036963445479 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.559764698317102e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.08567347749494718, "moment": 255.998046875, "term": 0.00008366486704901026, "partial": 0.08978745602730709, "direct": 0.08968203397811263, "error": 0.00010542204919446185, "absoluteError": 0.00010542204919446185, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008366550536615935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.383171490948437e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.2563540233606147, "moment": 511.9990234375, "term": -0.0001251726242207611, "partial": 0.08966228340308632, "direct": 0.08968203397811263, "error": -0.000019750575026303285, "absoluteError": 0.000019750575026303285, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012517286296905014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.387482890492442e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.005637729540589132, "moment": 1023.99951171875, "term": -0.0000013763981573022947, "partial": 0.08966090700492903, "direct": 0.08968203397811263, "error": -0.000021126973183599462, "absoluteError": 0.000021126973183599462, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000013763988136203935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 6.563180988409011e-13 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.23462836317666563, "moment": 2047.999755859375, "term": 0.000028641154200047014, "partial": 0.08968954815912906, "direct": 0.08968203397811263, "error": 0.000007514181016438082, "absoluteError": 0.000007514181016438082, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000028641157614339067 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.414292051117309e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.06081741576618765, "moment": 4095.9998779296875, "term": -0.0000037120003633842416, "partial": 0.08968583615876569, "direct": 0.08968203397811263, "error": 0.0000038021806530591507, "absoluteError": 0.0000038021806530591507, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000037120004740104765 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.1062623482973804e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.7671458676442586, "x": 3.9231411216129217, "z": -0.7803612880645128, "direct": { "potential": 0.08680641544275666, "ex": 0.007376200522944715, "ez": -0.0158990719911277, "terms": [ { "role": "real", "distance": 4.808476385744038, "potential": 0.20796608317860446, "ex": 0.03528673434753179, "ez": -0.02500798903755923 }, { "role": "image", "distance": 4.126785830166682, "potential": -0.1211596677358478, "ex": -0.027910533824587073, "ez": 0.00910891704643153 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.08680641544275666, "error": 0.03819358455724334, "absoluteError": 0.03819358455724334, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.1950903220161282, "moment": 1.75, "term": -0.02133800397051402, "partial": 0.10366199602948598, "direct": 0.08680641544275666, "error": 0.016855580586729313, "absoluteError": 0.016855580586729313, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.024386290252016024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.003048286281502003 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.4429096493834651, "moment": 3.875, "term": -0.02681679517751449, "partial": 0.0768452008519715, "direct": 0.08680641544275666, "error": -0.009961214590785167, "absoluteError": 0.009961214590785167, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02768185308646657 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008650579089520803 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.2740725248812032, "moment": 7.9375, "term": 0.008497854165017775, "partial": 0.08534305501698926, "direct": 0.08680641544275666, "error": -0.0014633604257674043, "absoluteError": 0.0014633604257674043, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0085647664025376 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000066912237519825 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.23861166705161618, "moment": 15.96875, "term": 0.0037210254474907187, "partial": 0.08906408046447999, "direct": 0.08680641544275666, "error": 0.0022576650217233235, "absoluteError": 0.0022576650217233235, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.003728307297681503 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007281850190784185 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.3030495084363915, "moment": 31.984375, "term": -0.0023664182425281273, "partial": 0.08669766222195185, "direct": 0.08680641544275666, "error": -0.00010875322080480809, "absoluteError": 0.00010875322080480809, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0023675742846593086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001156042131181303 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.0904526745322577, "moment": 63.9921875, "term": -0.00035328762869535585, "partial": 0.0863443745932565, "direct": 0.08680641544275666, "error": -0.00046204084950016155, "absoluteError": 0.00046204084950016155, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00035333075989163167 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 4.3131196275833944e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.2925286841200979, "moment": 127.99609375, "term": 0.0005713276501037627, "partial": 0.08691570224336026, "direct": 0.08680641544275666, "error": 0.00010928680060359741, "absoluteError": 0.00010928680060359741, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005713450861720662 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.743606830359089e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.027859250754169784, "moment": 255.998046875, "term": -0.000027206091997025815, "partial": 0.08688849615136324, "direct": 0.08680641544275666, "error": 0.00008208070860657446, "absoluteError": 0.00008208070860657446, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00002720629956461893 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0756759311385292e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.24975925328309773, "moment": 511.9990234375, "term": -0.00012195252778570675, "partial": 0.08676654362357752, "direct": 0.08680641544275666, "error": -0.00003987181917913807, "absoluteError": 0.00003987181917913807, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012195276039213756 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.3260643080165398e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.11765199066281659, "moment": 1023.99951171875, "term": 0.00002872361683641985, "partial": 0.08679526724041395, "direct": 0.08680641544275666, "error": -0.00001114820234271452, "absoluteError": 0.00001114820234271452, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028723630532914207 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3696494356591323e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.1832349521092529, "moment": 2047.999755859375, "term": 0.000022367545198479544, "partial": 0.08681763478561243, "direct": 0.08680641544275666, "error": 0.000011219342855764425, "absoluteError": 0.000011219342855764425, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000022367547864899035 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.666419489967708e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.17636344257982284, "moment": 4095.9998779296875, "term": -0.000010764369953844156, "partial": 0.08680687041565859, "direct": 0.08680641544275666, "error": 4.549729019226456e-7, "absoluteError": 4.549729019226456e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001076437027464739 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.2080323322556585e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.8162332528565992, "x": 3.880125012778176, "z": -0.9719207196130555, "direct": { "potential": 0.08411951255080069, "ex": 0.0060889394004391036, "ez": -0.015157674801893905, "terms": [ { "role": "real", "distance": 4.887502724137575, "potential": 0.20460346652317316, "ex": 0.03323415804694095, "ez": -0.025455180586534707 }, { "role": "image", "distance": 4.149930206595414, "potential": -0.12048395397237247, "ex": -0.027145218646501847, "ez": 0.010297505784640802 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.08411951255080069, "error": 0.04088048744919931, "absoluteError": 0.04088048744919931, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.24298017990326387, "moment": 1.75, "term": -0.026575957176919487, "partial": 0.09842404282308051, "direct": 0.08411951255080069, "error": 0.01430453027227982, "absoluteError": 0.01430453027227982, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.030372522487907984 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.003796565310988498 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.41144094826126626, "moment": 3.875, "term": -0.024911463664256357, "partial": 0.07351257915882416, "direct": 0.08411951255080069, "error": -0.010606933391976534, "absoluteError": 0.010606933391976534, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02571505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008035956020727857 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.3286067793156625, "moment": 7.9375, "term": 0.01018873558913309, "partial": 0.08370131474795725, "direct": 0.08411951255080069, "error": -0.00041819780284343966, "absoluteError": 0.00041819780284343966, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.010268961853614453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00008022626448136292 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.16885207607373404, "moment": 15.96875, "term": 0.0026331607322289457, "partial": 0.08633447548018619, "direct": 0.08411951255080069, "error": 0.0022149629293855, "absoluteError": 0.0022149629293855, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0026383136886520943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000005152956423148622 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.33673529753111386, "moment": 31.984375, "term": -0.0026294599687430955, "partial": 0.0837050155114431, "direct": 0.08411951255080069, "error": -0.0004144970393575864, "absoluteError": 0.0004144970393575864, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002630744511961827 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000012845432187313609 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.009293275757351727, "moment": 63.9921875, "term": 0.000036297427047952646, "partial": 0.08374131293849105, "direct": 0.08411951255080069, "error": -0.00037819961230964316, "absoluteError": 0.00037819961230964316, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00003630185842715518 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.4313792025335916e-9 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.2844366745123325, "moment": 127.99609375, "term": 0.000555523426159954, "partial": 0.084296836364651, "direct": 0.08411951255080069, "error": 0.0001773238138503136, "absoluteError": 0.0001773238138503136, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005555403799068994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.6953746945400984e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.1377175056828565, "moment": 255.998046875, "term": -0.00013448872556803886, "partial": 0.08416234763908297, "direct": 0.08411951255080069, "error": 0.000042835088282275335, "absoluteError": 0.000042835088282275335, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00013448975164341456 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.0260753756974378e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.1896254203206248, "moment": 511.9990234375, "term": -0.00009259036066349541, "partial": 0.08406975727841946, "direct": 0.08411951255080069, "error": -0.000049755272381227234, "absoluteError": 0.000049755272381227234, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009259053726593007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.7660243466554656e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.21148867072767202, "moment": 1023.99951171875, "term": 0.00005163295163135139, "partial": 0.08412139023005082, "direct": 0.08411951255080069, "error": 0.000001877679250125719, "absoluteError": 0.000001877679250125719, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005163297625187305 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.4620521665512587e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.07428323115700895, "moment": 2047.999755859375, "term": 0.000009067776159882537, "partial": 0.0841304580062107, "direct": 0.08411951255080069, "error": 0.000010945455410013571, "absoluteError": 0.000010945455410013571, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00000906777724084582 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.0809632826859736e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.22845920783515708, "moment": 4095.9998779296875, "term": -0.000013944043031405158, "partial": 0.0841165139631793, "direct": 0.08411951255080069, "error": -0.0000029985876213861618, "absoluteError": 0.0000029985876213861618, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000013944043446970037 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.1556487819463124e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.8653206380689396, "x": 3.8277613429288357, "z": -1.1611387090178487, "direct": { "potential": 0.08160964611393685, "ex": 0.004943423823639485, "ez": -0.01440584972166885, "terms": [ { "role": "real", "distance": 4.9643282361334045, "potential": 0.20143712350069662, "ex": 0.03128696133874505, "ez": -0.02583818992742532 }, { "role": "image", "distance": 4.172665659865148, "potential": -0.11982747738675976, "ex": -0.026343537515105563, "ez": 0.011432340205756472 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.08160964611393685, "error": 0.043390353886063146, "absoluteError": 0.043390353886063146, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.29028467725446216, "moment": 1.75, "term": -0.0317498865747068, "partial": 0.0932501134252932, "direct": 0.08160964611393685, "error": 0.011640467311356345, "absoluteError": 0.011640467311356345, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.03628558465680777 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.004535698082100971 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.3736022092269091, "moment": 3.875, "term": -0.022620446261785512, "partial": 0.07062966716350769, "direct": 0.08160964611393685, "error": -0.010979978950429167, "absoluteError": 0.010979978950429167, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02335013807668182 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0007296918148963069 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.374274779381287, "moment": 7.9375, "term": 0.011604711177105334, "partial": 0.08223437834061302, "direct": 0.08160964611393685, "error": 0.0006247322266761668, "absoluteError": 0.0006247322266761668, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.011696086855665219 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009137567855988452 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.09007074823011346, "moment": 15.96875, "term": 0.0014046066999996332, "partial": 0.08363898504061265, "direct": 0.08160964611393685, "error": 0.002029338926675797, "absoluteError": 0.002029338926675797, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0014073554410955228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000002748741095889693 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.34648290804911314, "moment": 31.984375, "term": -0.0027055759917317757, "partial": 0.08093340904888088, "direct": 0.08160964611393685, "error": -0.0006762370650559707, "absoluteError": 0.0006762370650559707, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0027068977191336964 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000013217274019207502 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.10933528822648331, "moment": 63.9921875, "term": 0.0004270388345065712, "partial": 0.08136044788338745, "direct": 0.08160964611393685, "error": -0.00024919823054940504, "absoluteError": 0.00024919823054940504, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0004270909696347004 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -5.213512812923589e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.23804268331073583, "moment": 127.99609375, "term": 0.0004649129273917008, "partial": 0.08182536081077915, "direct": 0.08160964611393685, "error": 0.00021571469684229794, "absoluteError": 0.00021571469684229794, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004649271158412809 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4188449580117216e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2252311462562537, "moment": 255.998046875, "term": -0.00021995061316306463, "partial": 0.08160541019761608, "direct": 0.08160964611393685, "error": -0.000004235916320774469, "absoluteError": 0.000004235916320774469, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00021995229126587276 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.6781028081197568e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.08809576736765007, "moment": 511.9990234375, "term": -0.00004301542936440851, "partial": 0.08156239476825168, "direct": 0.08160964611393685, "error": -0.000047251345685173085, "absoluteError": 0.000047251345685173085, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000043015511409985385 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 8.204557687756612e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.251296449286453, "moment": 1023.99951171875, "term": 0.00006135164293431842, "partial": 0.081623746411186, "direct": 0.08160964611393685, "error": 0.000014100297249144966, "absoluteError": 0.000014100297249144966, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00006135167218907544 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.925475701764843e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.059176364411456024, "moment": 2047.999755859375, "term": -0.000007223676435190877, "partial": 0.0816165227347508, "direct": 0.08160964611393685, "error": 0.0000068766208139448, "absoluteError": 0.0000068766208139448, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000072236772963203154 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 8.611294384384531e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.197430594144394, "moment": 4095.9998779296875, "term": -0.000012050206803009265, "partial": 0.0816044725279478, "direct": 0.08160964611393685, "error": -0.000005173585989060037, "absoluteError": 0.000005173585989060037, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012050207162133424 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.5912415868441533e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.9144080232812801, "x": 3.7661762607320832, "z": -1.3475594135688798, "direct": { "potential": 0.07926600108838947, "ex": 0.003928555791101674, "ez": -0.013651630399895589, "terms": [ { "role": "real", "distance": 5.0388726570807005, "potential": 0.19845708912583548, "ex": 0.029437470732529843, "ez": -0.026165446182060365 }, { "role": "image", "distance": 4.19494450661375, "potential": -0.11919108803744602, "ex": -0.02550891494142817, "ez": 0.012513815782164777 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.07926600108838947, "error": 0.045733998911610535, "absoluteError": 0.045733998911610535, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.33688985339221994, "moment": 1.75, "term": -0.03684732771477406, "partial": 0.08815267228522594, "direct": 0.07926600108838947, "error": 0.008886671196836476, "absoluteError": 0.008886671196836476, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.04211123167402749 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0052639039592534366 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.32975784002205283, "moment": 3.875, "term": -0.01996580672008523, "partial": 0.06818686556514071, "direct": 0.07926600108838947, "error": -0.011079135523248754, "absoluteError": 0.011079135523248754, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.020609865001378302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0006440582812930719 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.4097466862280874, "moment": 7.9375, "term": 0.012704548132560327, "partial": 0.08089141369770103, "direct": 0.07926600108838947, "error": 0.0016254126093115662, "absoluteError": 0.0016254126093115662, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012804583944627732 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010003581206740415 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.005749253176715041, "moment": 15.96875, "term": 0.00008965662760319172, "partial": 0.08098107032530423, "direct": 0.07926600108838947, "error": 0.0017150692369147652, "absoluteError": 0.0017150692369147652, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.00008983208088617252 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -1.754532829808057e-7 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.33128370609014285, "moment": 31.984375, "term": -0.0025868902067814727, "partial": 0.07839418011852275, "direct": 0.07926600108838947, "error": -0.0008718209698667101, "absoluteError": 0.0008718209698667101, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002588153953829241 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001263747047768184 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.19982017417529319, "moment": 63.9921875, "term": 0.0007804522736882336, "partial": 0.079174632392211, "direct": 0.07926600108838947, "error": -0.00009136869617847043, "absoluteError": 0.00009136869617847043, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.000780547555372239 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -9.528168400540027e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.1589394538807809, "moment": 127.99609375, "term": 0.00031041914733121085, "partial": 0.0794850515395422, "direct": 0.07926600108838947, "error": 0.00021905045115273858, "absoluteError": 0.00021905045115273858, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0003104286208609002 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -9.473529689358527e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2752396948711361, "moment": 255.998046875, "term": -0.0002687867138270637, "partial": 0.07921626482571514, "direct": 0.07926600108838947, "error": -0.00004973626267432141, "absoluteError": 0.00004973626267432141, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00026878876452259383 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0506955301101214e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.03386857740581238, "moment": 511.9990234375, "term": 0.00001653735976886112, "partial": 0.079232802185484, "direct": 0.07926600108838947, "error": -0.000033198902905470784, "absoluteError": 0.000033198902905470784, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000016537391311431826 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.154257070814481e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.22603676323801283, "moment": 1023.99951171875, "term": 0.00005518473033576294, "partial": 0.07928798691581976, "direct": 0.07926600108838947, "error": 0.000021985827430293092, "absoluteError": 0.000021985827430293092, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005518475664990548 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.6314142537071932e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.17616591878697738, "moment": 2047.999755859375, "term": -0.000021504626194624433, "partial": 0.07926648228962514, "direct": 0.07926600108838947, "error": 4.812012356775197e-7, "absoluteError": 4.812012356775197e-7, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002150462875817595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.563551516315454e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.09344905440854824, "moment": 4095.9998779296875, "term": -0.000005703677467257654, "partial": 0.07926077861215788, "direct": 0.07926600108838947, "error": -0.000005222476231581119, "absoluteError": 0.000005222476231581119, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000005703677637240493 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.6998283974052945e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 1.9634954084936207, "x": 3.695518130045147, "z": -1.530733729460359, "direct": { "potential": 0.07707857347698248, "ex": 0.003033943317555382, "ez": -0.012901807946885089, "terms": [ { "role": "real", "distance": 5.111060058132895, "potential": 0.1956541282289895, "ex": 0.027678489433229217, "ez": -0.026444296248445315 }, { "role": "image", "distance": 4.216720731736968, "potential": -0.11857555475200703, "ex": -0.024644546115673835, "ez": 0.013542488301560227 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.07707857347698248, "error": 0.04792142652301752, "absoluteError": 0.04792142652301752, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.3826834323650897, "moment": 1.75, "term": -0.04185600041493169, "partial": 0.08314399958506831, "direct": 0.07707857347698248, "error": 0.006065426108085831, "absoluteError": 0.006065426108085831, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.047835429045636216 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.005979428630704527 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.2803300858899107, "moment": 3.875, "term": -0.016973110669115686, "partial": 0.06617088891595263, "direct": 0.07707857347698248, "error": -0.010907684561029848, "absoluteError": 0.010907684561029848, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.01752063036811942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0005475196990037319 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.4339184206826456, "moment": 7.9375, "term": 0.0134540135319082, "partial": 0.07962490244786083, "direct": 0.07707857347698248, "error": 0.0025463289708783504, "absoluteError": 0.0025463289708783504, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013559950646332674 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010593711442447402 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.08034586912079605, "moment": 15.96875, "term": -0.0012529522436745234, "partial": 0.0783719502041863, "direct": 0.07707857347698248, "error": 0.0012933767272038238, "absoluteError": 0.0012933767272038238, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0012554042050124383 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000024519613379149186 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.29179007719741196, "moment": 31.984375, "term": -0.0022784968872951593, "partial": 0.07609345331689114, "direct": 0.07707857347698248, "error": -0.000985120160091335, "absoluteError": 0.000985120160091335, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002279609978104781 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001113090809621475 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.2716708094326269, "moment": 63.9921875, "term": 0.0010610845566094622, "partial": 0.0771545378735006, "direct": 0.07707857347698248, "error": 0.0000759643965181217, "absoluteError": 0.0000759643965181217, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010612140993461988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2954273673659653e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.05702993306177622, "moment": 127.99609375, "term": 0.00011138318876237997, "partial": 0.07726592106226299, "direct": 0.07707857347698248, "error": 0.000187347585280509, "absoluteError": 0.000187347585280509, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00011138658801128168 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.399248901711477e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2786327280003582, "moment": 255.998046875, "term": -0.00027210019746225293, "partial": 0.07699382086480074, "direct": 0.07707857347698248, "error": -0.00008475261218174324, "absoluteError": 0.00008475261218174324, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002721022734378498 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0759755969074235e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.150715413750336, "moment": 511.9990234375, "term": 0.00007359137025561409, "partial": 0.07706741223505635, "direct": 0.07707857347698248, "error": -0.000011161241926127552, "absoluteError": 0.000011161241926127552, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00007359151062028125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.4036466716820002e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.14118450069614627, "moment": 1023.99951171875, "term": 0.000034468855804231, "partial": 0.07710188109086058, "direct": 0.07707857347698248, "error": 0.00002330761387810132, "absoluteError": 0.00002330761387810132, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000034468872240270085 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.643603908551697e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.24016022666268777, "moment": 2047.999755859375, "term": -0.00002931643042399387, "partial": 0.07707256466043658, "direct": 0.07707857347698248, "error": -0.000006008816545902129, "absoluteError": 0.000006008816545902129, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000029316433918785128 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.494791259620801e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.046732775754171875, "moment": 4095.9998779296875, "term": 0.000002852342185145668, "partial": 0.07707541700262173, "direct": 0.07707857347698248, "error": -0.000003156474360749284, "absoluteError": 0.000003156474360749284, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000002852342270152092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -8.500642389512336e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.012582793705961, "x": 3.615957172493774, "z": -1.7102203737211275, "direct": { "potential": 0.07503811879795239, "ex": 0.0022498785647356474, "ez": -0.012162103664006376, "terms": [ { "role": "real", "distance": 5.180818612428397, "potential": 0.19301968951413867, "ex": 0.02600327902286632, "ez": -0.026681149972707527 }, { "role": "image", "distance": 4.2379500202009375, "potential": -0.11798157071618628, "ex": -0.023753400458130673, "ez": 0.01451904630870115 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.07503811879795239, "error": 0.049961881202047614, "absoluteError": 0.049961881202047614, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.42755509343028186, "moment": 1.75, "term": -0.046763838343937075, "partial": 0.07823616165606292, "direct": 0.07503811879795239, "error": 0.003198042858110539, "absoluteError": 0.003198042858110539, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.05344438667878523 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.006680548334848154 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.2257949631227344, "moment": 3.875, "term": -0.01367117940782181, "partial": 0.06456498224824112, "direct": 0.07503811879795239, "error": -0.01047313654971127, "absoluteError": 0.01047313654971127, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0141121851951709 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0004410057873490906 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.44593637321023416, "moment": 7.9375, "term": 0.013826640477954037, "partial": 0.07839162272619515, "direct": 0.07503811879795239, "error": 0.003353503928242768, "absoluteError": 0.003353503928242768, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013935511662819818 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010887118486577982 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.1643129211537089, "moment": 15.96875, "term": -0.0025623749606184464, "partial": 0.0758292477655767, "direct": 0.07503811879795239, "error": 0.0007911289676243161, "absoluteError": 0.0007911289676243161, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0025673893930267017 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000005014432408255277 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.23029401112796952, "moment": 31.984375, "term": -0.0017982934600027222, "partial": 0.07403095430557398, "direct": 0.07503811879795239, "error": -0.0010071644923784068, "absoluteError": 0.0010071644923784068, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0017991719619372618 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 8.785019345396786e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.3174436262758886, "moment": 63.9921875, "term": 0.001239862796223547, "partial": 0.07527081710179753, "direct": 0.07503811879795239, "error": 0.0002326983038451469, "absoluteError": 0.0002326983038451469, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00124001416514019 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.513689166430896e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.05466517771689123, "moment": 127.99609375, "term": -0.00010676466692980378, "partial": 0.07516405243486772, "direct": 0.07503811879795239, "error": 0.00012593363691533466, "absoluteError": 0.00012593363691533466, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00010676792522830318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.258298499398901e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.23393996955491178, "moment": 255.998046875, "term": -0.00022845525852987052, "partial": 0.07493559717633785, "direct": 0.07503811879795239, "error": -0.00010252162161453193, "absoluteError": 0.00010252162161453193, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022845700151846854 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7429885980107768e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.23752213954636658, "moment": 511.9990234375, "term": 0.00011597738599064378, "partial": 0.0750515745623285, "direct": 0.07503811879795239, "error": 0.00001345576437611351, "absoluteError": 0.00001345576437611351, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00011597760720037431 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.212097305304991e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.017593751524956857, "moment": 1023.99951171875, "term": 0.0000042953474452154244, "partial": 0.07505586990977371, "direct": 0.07503811879795239, "error": 0.000017751111821326382, "absoluteError": 0.000017751111821326382, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00000429534949339767 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.0481822459209777e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.23028996864377727, "moment": 2047.999755859375, "term": -0.00002811156508680099, "partial": 0.07502775834468692, "direct": 0.07503811879795239, "error": -0.00001036045326546775, "absoluteError": 0.00001036045326546775, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000028111568437961092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.351160101647507e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.17259055513292107, "moment": 4095.9998779296875, "term": 0.000010534091185871687, "partial": 0.07503829243587279, "direct": 0.07503811879795239, "error": 1.7363792040314685e-7, "absoluteError": 1.7363792040314685e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000010534091499812077 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.1394039093888035e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.061670178918302, "x": 3.52768505739342, "z": -1.8855869473039908, "direct": { "potential": 0.07313610268081695, "ex": 0.0015673099865573699, "ez": -0.011437319129432171, "terms": [ { "role": "real", "distance": 5.248080390887316, "potential": 0.19054586163283324, "ex": 0.024405537028818227, "ez": -0.026881604955740965 }, { "role": "image", "distance": 4.258589783872591, "potential": -0.11740975895201629, "ex": -0.022838227042260857, "ez": 0.015444285826308794 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.07313610268081695, "error": 0.05186389731918305, "absoluteError": 0.05186389731918305, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.4713967368259977, "moment": 1.75, "term": -0.051559018090343495, "partial": 0.0734409819096565, "direct": 0.07313610268081695, "error": 0.00030487922883955243, "absoluteError": 0.00030487922883955243, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.05892459210324971 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.007365574012906214 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.16667767476470158, "moment": 3.875, "term": -0.01009181233926904, "partial": 0.06334916957038747, "direct": 0.07313610268081695, "error": -0.009786933110429483, "absoluteError": 0.009786933110429483, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.010417354672793849 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00032554233352480777 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.4452166778603739, "moment": 7.9375, "term": 0.013804325705143429, "partial": 0.07715349527553089, "direct": 0.07313610268081695, "error": 0.004017392594713939, "absoluteError": 0.004017392594713939, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013913021183136684 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010869547799325534 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.2422706998932842, "moment": 15.96875, "term": -0.003778086170821174, "partial": 0.07337540910470972, "direct": 0.07313610268081695, "error": 0.0002393064238927628, "absoluteError": 0.0002393064238927628, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0037854796858325657 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00000739351501139173 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.15060323104345855, "moment": 31.984375, "term": -0.001176013236793364, "partial": 0.07219939586791635, "direct": 0.07313610268081695, "error": -0.0009367068129006034, "absoluteError": 0.0009367068129006034, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00117658774252702 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.745057336557714e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 63.9921875, "term": 0.0012969029224243556, "partial": 0.07349629879034071, "direct": 0.07313610268081695, "error": 0.00036019610952375825, "absoluteError": 0.00036019610952375825, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012970612550970968 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.5833267274134483e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.16160301834713955, "moment": 127.99609375, "term": -0.00031562126291875375, "partial": 0.07318067752742195, "direct": 0.07313610268081695, "error": 0.000044574846604999996, "absoluteError": 0.000044574846604999996, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00031563089520925694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 9.632290503212187e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.14770584206036202, "moment": 255.998046875, "term": -0.00014424288589279138, "partial": 0.07303643464152916, "direct": 0.07313610268081695, "error": -0.00009966803928779244, "absoluteError": 0.00009966803928779244, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001442439863870723 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.1004942809072288e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.27516678111697346, "moment": 511.9990234375, "term": 0.00013435852357323715, "partial": 0.0731707931651024, "direct": 0.07313610268081695, "error": 0.000034690484285448964, "absoluteError": 0.000034690484285448964, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001343587798422722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.5626903503851356e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.11351891527843842, "moment": 1023.99951171875, "term": -0.00002771456571005895, "partial": 0.07314307859939234, "direct": 0.07313610268081695, "error": 0.0000069759185753887065, "absoluteError": 0.0000069759185753887065, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000027714578925400006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.3215341055583957e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.14799149457579966, "moment": 2047.999755859375, "term": -0.000018065365836650237, "partial": 0.07312501323355569, "direct": 0.07313610268081695, "error": -0.000011089447261261598, "absoluteError": 0.000011089447261261598, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001806536799020992 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.1535596835863494e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 4095.9998779296875, "term": 0.000014512381278041204, "partial": 0.07313952561483374, "direct": 0.07313610268081695, "error": 0.0000034229340167835076, "absoluteError": 0.0000034229340167835076, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000014512381710543882 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.3250267835092194e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.110757564130642, "x": 3.4309144400010885, "z": -2.056410976772886, "direct": { "potential": 0.07136465394856367, "ex": 0.0009778105143637972, "ez": -0.0107314665644073, "terms": [ { "role": "real", "distance": 5.312781183814326, "potential": 0.18822533159215252, "ex": 0.02287937204406022, "ez": -0.02705055387541729 }, { "role": "image", "distance": 4.278599183935425, "potential": -0.11686067764358885, "ex": -0.021901561529696422, "ez": 0.016319087311009988 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.07136465394856367, "error": 0.05363534605143633, "absoluteError": 0.05363534605143633, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.5141027441932216, "moment": 1.75, "term": -0.05622998764613361, "partial": 0.0687700123538664, "direct": 0.07136465394856367, "error": -0.0025946415946972723, "absoluteError": 0.0025946415946972723, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.0642628430241527 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.008032855378019087 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.1035475526194985, "moment": 3.875, "term": -0.006269480725008698, "partial": 0.0625005316288577, "direct": 0.07136465394856367, "error": -0.008864122319705972, "absoluteError": 0.008864122319705972, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.006471722038718656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.000202241313709958 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.43145863105577464, "moment": 7.9375, "term": 0.013377745640645356, "partial": 0.07587827726950305, "direct": 0.07136465394856367, "error": 0.004513623320939381, "absoluteError": 0.004513623320939381, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013483082220492958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010533657984760123 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.3105139514407189, "moment": 15.96875, "term": -0.004842304357489238, "partial": 0.07103597291201381, "direct": 0.07136465394856367, "error": -0.0003286810365498577, "absoluteError": 0.0003286810365498577, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004851780491261233 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009476133771994596 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.05782197066190187, "moment": 31.984375, "term": -0.0004515135724827313, "partial": 0.07058445933953109, "direct": 0.07136465394856367, "error": -0.0007801946090325862, "absoluteError": 0.0007801946090325862, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00045173414579610834 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 2.2057331337700602e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.3132600881524959, "moment": 63.9921875, "term": 0.001223522845295474, "partial": 0.07180798218482655, "direct": 0.07136465394856367, "error": 0.0004433282362628771, "absoluteError": 0.0004433282362628771, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.001223672219345687 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.4937405021309657e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2495272140827002, "moment": 127.99609375, "term": -0.00048734296702431667, "partial": 0.07132063921780224, "direct": 0.07136465394856367, "error": -0.000044014730761432475, "absoluteError": 0.000044014730761432475, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00048735784000527384 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.4872980957192195e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.0335726543006733, "moment": 255.998046875, "term": -0.00003278554507973455, "partial": 0.0712878536727225, "direct": 0.07136465394856367, "error": -0.00007680027584117122, "absoluteError": 0.00007680027584117122, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003278579521550127 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.501357667198278e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.2544038006289614, "moment": 511.9990234375, "term": 0.00012422036884385747, "partial": 0.07141207404156637, "direct": 0.07136465394856367, "error": 0.00004742009300269523, "absoluteError": 0.00004742009300269523, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012422060577586006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.369320025937272e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.21828502599880917, "moment": 1023.99951171875, "term": -0.00005329221726376897, "partial": 0.0713587818243026, "direct": 0.07136465394856367, "error": -0.000005872124261077638, "absoluteError": 0.000005872124261077638, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005329224267549052 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.5411721551652202e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.017036223432891552, "moment": 2047.999755859375, "term": -0.0000020796168703632153, "partial": 0.07135670220743223, "direct": 0.07136465394856367, "error": -0.000007951741131440038, "absoluteError": 0.000007951741131440038, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000020796171182728945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.479096792069548e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.21688148149919037, "moment": 4095.9998779296875, "term": 0.000013237394716529451, "partial": 0.07136993960214875, "direct": 0.07136465394856367, "error": 0.000005285653585082595, "absoluteError": 0.000005285653585082595, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013237395111034569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.94505116672354e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.1598449493429825, "x": 3.3258784492101814, "z": -2.222280932078408, "direct": { "potential": 0.06971652039698625, "ex": 0.00047354331118538637, "ez": -0.010047882041020622, "terms": [ { "role": "real", "distance": 5.374860345005592, "potential": 0.18605134567435158, "ex": 0.021419277609255494, "ez": -0.027192276810335758 }, { "role": "image", "distance": 4.297939149415497, "potential": -0.11633482527736533, "ex": -0.020945734298070107, "ez": 0.017144394769315136 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06971652039698625, "error": 0.055283479603013747, "absoluteError": 0.055283479603013747, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.555570233019602, "moment": 1.75, "term": -0.06076549423651896, "partial": 0.06423450576348104, "direct": 0.06971652039698625, "error": -0.005482014633505214, "absoluteError": 0.005482014633505214, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.06944627912745024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.00868078489093128 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": -0.03701257427381777, "moment": 3.875, "term": -0.0022409957079850603, "partial": 0.06199351005549598, "direct": 0.06971652039698625, "error": -0.007723010341490276, "absoluteError": 0.007723010341490276, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0023132858921136104 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00007229018412855033 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.40465196286966837, "moment": 7.9375, "term": 0.012546581856554658, "partial": 0.07454009191205063, "direct": 0.06971652039698625, "error": 0.004823571515064379, "absoluteError": 0.004823571515064379, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012645373839677137 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009879198312247763 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.36566259357548336, "moment": 15.96875, "term": -0.005702318887850098, "partial": 0.06883777302420054, "direct": 0.06971652039698625, "error": -0.0008787473727857181, "absoluteError": 0.0008787473727857181, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0057134780246169276 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011159136766829937 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.04195068387897525, "moment": 31.984375, "term": 0.0003275796886454099, "partial": 0.06916535271284595, "direct": 0.06971652039698625, "error": -0.0005511676841403051, "absoluteError": 0.0005511676841403051, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00032773971780449413 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -1.6002915908422565e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.26199015074661725, "moment": 63.9921875, "term": 0.0010232740997150145, "partial": 0.07018862681256097, "direct": 0.06971652039698625, "error": 0.00047210641557471344, "absoluteError": 0.00047210641557471344, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010233990263539736 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.249266389592253e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.3062721687946651, "moment": 127.99609375, "term": -0.0005981695744332547, "partial": 0.0695904572381277, "direct": 0.06971652039698625, "error": -0.00012606315885854702, "absoluteError": 0.00012606315885854702, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005981878296770803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.8255243825594492e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.08980055594296799, "moment": 255.998046875, "term": 0.00008769518634677497, "partial": 0.06967815242447449, "direct": 0.06971652039698625, "error": -0.00003836797251176305, "absoluteError": 0.00003836797251176305, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008769585541305467 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.6906627970165e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.17800428687982267, "moment": 511.9990234375, "term": 0.00008691598992362767, "partial": 0.06976506841439811, "direct": 0.06971652039698625, "error": 0.0000485480174118591, "absoluteError": 0.0000485480174118591, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00008691615570303841 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.657794107495087e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.26871887831526237, "moment": 1023.99951171875, "term": -0.0000656051636181924, "partial": 0.06969946325077991, "direct": 0.06971652039698625, "error": -0.00001705714620633958, "absoluteError": 0.00001705714620633958, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000656051949011871 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.1282994700044203e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.12319032162651614, "moment": 2047.999755859375, "term": 0.000015037879265269216, "partial": 0.0697145011300452, "direct": 0.06971652039698625, "error": -0.000002019266941058473, "absoluteError": 0.000002019266941058473, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000015037881057924333 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.7926551172643105e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.11514729337970088, "moment": 4095.9998779296875, "term": 0.000007028032833742927, "partial": 0.06972152916287894, "direct": 0.06971652039698625, "error": 0.000005008765892683398, "absoluteError": 0.000005008765892683398, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000007028033043194634 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.0945170650466185e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.2089323345553233, "x": 3.2128301259225798, "z": -2.3827972179697334, "direct": { "potential": 0.06818502737354745, "ex": 0.00004722624042893461, "ez": -0.009389323766464893, "terms": [ { "role": "real", "distance": 5.434260655496654, "potential": 0.1840176729448041, "ex": 0.02002010572294371, "ez": -0.027310520701987473 }, { "role": "image", "distance": 4.316572392300369, "potential": -0.11583264557125664, "ex": -0.019972879482514777, "ez": 0.01792119693552258 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06818502737354745, "error": 0.05681497262645255, "absoluteError": 0.05681497262645255, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.5956993044924334, "moment": 1.75, "term": -0.0651546114288599, "partial": 0.05984538857114011, "direct": 0.06818502737354745, "error": -0.008339638802407345, "absoluteError": 0.008339638802407345, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.07446241306155417 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.009307801632694271 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.03228649205915324, "moment": 3.875, "term": 0.0019548461988940437, "partial": 0.06180023477003415, "direct": 0.06818502737354745, "error": -0.006384792603513302, "absoluteError": 0.006384792603513302, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0020179057536970774 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00006305955480303367 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.3650778015547255, "moment": 7.9375, "term": 0.011319550975939976, "partial": 0.07311978574597412, "direct": 0.06818502737354745, "error": 0.00493475837242667, "absoluteError": 0.00493475837242667, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.011408681298585173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00008913032264519666 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.40479890586997397, "moment": 15.96875, "term": -0.006312629421983542, "partial": 0.06680715632399059, "direct": 0.06818502737354745, "error": -0.0013778710495568613, "absoluteError": 0.0013778710495568613, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006324982904218343 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012353482234801452 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.14198692679109431, "moment": 31.984375, "term": 0.0011087312284140398, "partial": 0.06791588755240463, "direct": 0.06818502737354745, "error": -0.000269139821142822, "absoluteError": 0.000269139821142822, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011092728655554243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.416371413844845e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.18226631340811125, "moment": 63.9921875, "term": 0.0007118908753995129, "partial": 0.06862777842780414, "direct": 0.06818502737354745, "error": 0.0004427510542566876, "absoluteError": 0.0004427510542566876, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0007119777867504346 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -8.691135092168391e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.32334406720450265, "moment": 127.99609375, "term": -0.0006315121084505283, "partial": 0.06799626631935361, "direct": 0.06818502737354745, "error": -0.00018876105419383948, "absoluteError": 0.00018876105419383948, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006315313812587942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.9272808265954414e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.2016716681656718, "moment": 255.998046875, "term": 0.0001969434858720211, "partial": 0.06819320980522563, "direct": 0.06818502737354745, "error": 0.000008182431678174784, "absoluteError": 0.000008182431678174784, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00019694498844303887 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.5025710177844152e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.06049401175333221, "moment": 511.9990234375, "term": 0.00002953803533699297, "partial": 0.06822274784056262, "direct": 0.06818502737354745, "error": 0.000037720467015167625, "absoluteError": 0.000037720467015167625, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000029538091676431743 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -5.633943877493237e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.2499733587311971, "moment": 1023.99951171875, "term": -0.00006102862293325467, "partial": 0.06816171921762937, "direct": 0.06818502737354745, "error": -0.000023308155918083662, "absoluteError": 0.000023308155918083662, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006102865203398367 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.9100729004852137e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.2292861779237021, "moment": 2047.999755859375, "term": 0.00002798903205452389, "partial": 0.06818970824968389, "direct": 0.06818502737354745, "error": 0.000004680876136434198, "absoluteError": 0.000004680876136434198, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000027989035391076916 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.336553024181952e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.03264685320758487, "moment": 4095.9998779296875, "term": -0.000001992605727211476, "partial": 0.06818771564395668, "direct": 0.06818502737354745, "error": 0.000002688270409223481, "absoluteError": 0.000002688270409223481, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001992605786595756 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.938428004371393e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.2580197197676637, "x": 3.0920418134509484, "z": -2.5375731366545815, "direct": { "potential": 0.0667640391800002, "ex": -0.00030790410166785936, "ez": -0.008758057389821071, "terms": [ { "role": "real", "distance": 5.490928204467649, "potential": 0.18211857135308346, "ex": 0.018677040587881256, "ez": -0.02740856778686046 }, { "role": "image", "distance": 4.334463419692752, "potential": -0.11535453217308325, "ex": -0.018984944689549116, "ez": 0.01865051039703939 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.0667640391800002, "error": 0.058235960819999794, "absoluteError": 0.058235960819999794, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.6343932841636454, "moment": 1.75, "term": -0.06938676545539871, "partial": 0.05561323454460129, "direct": 0.0667640391800002, "error": -0.011150804635398914, "absoluteError": 0.011150804635398914, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.07929916052045567 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.009912395065056959 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.10368225848790358, "moment": 3.875, "term": 0.006277636744384787, "partial": 0.06189087128898608, "direct": 0.0667640391800002, "error": -0.004873167891014128, "absoluteError": 0.004873167891014128, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.006480141155493974 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00020250441110918668 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.31330330865635503, "moment": 7.9375, "term": 0.009714238329921163, "partial": 0.07160510961890725, "direct": 0.0667640391800002, "error": 0.004841070438907039, "absoluteError": 0.004841070438907039, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.009790728395511095 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00007649006558993043 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.42558734497215, "moment": 15.96875, "term": -0.006636814370140645, "partial": 0.0649682952487666, "direct": 0.0667640391800002, "error": -0.0017957439312336065, "absoluteError": 0.0017957439312336065, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006649802265189844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012987895049198914 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.23533890933057933, "moment": 31.984375, "term": 0.0018376874824512324, "partial": 0.06680598273121782, "direct": 0.0667640391800002, "error": 0.00004194355121761584, "absoluteError": 0.00004194355121761584, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.001838585229145151 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -8.977466939185308e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.08094417757697796, "moment": 63.9921875, "term": 0.00031614959646846126, "partial": 0.0671221323276863, "direct": 0.0667640391800002, "error": 0.00035809314768608935, "absoluteError": 0.00035809314768608935, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00031618819366007015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.859719160889528e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.2970841729134675, "moment": 127.99609375, "term": -0.0005802248176250214, "partial": 0.06654190751006127, "direct": 0.0667640391800002, "error": -0.00022213166993893807, "absoluteError": 0.00022213166993893807, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005802425252216162 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.7707596594897956e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.28255172735942236, "moment": 255.998046875, "term": 0.0002759273160750184, "partial": 0.06681783482613629, "direct": 0.0667640391800002, "error": 0.00005379564613608445, "absoluteError": 0.00005379564613608445, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002759294212494359 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.1051744174914238e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.07450646968982141, "moment": 511.9990234375, "term": -0.000036380042763675936, "partial": 0.0667814547833726, "direct": 0.0667640391800002, "error": 0.000017415603372400446, "absoluteError": 0.000017415603372400446, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00003638011215323311 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 6.938955717703459e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.16449038702734678, "moment": 1023.99951171875, "term": -0.00004015876674614699, "partial": 0.06674129601662647, "direct": 0.0667640391800002, "error": -0.00002274316337373683, "absoluteError": 0.00002274316337373683, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000040158785895348335 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.914920134322564e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.26694983913912673, "moment": 2047.999755859375, "term": 0.000032586646400906504, "partial": 0.06677388266302738, "direct": 0.0667640391800002, "error": 0.000009843483027169309, "absoluteError": 0.000009843483027169309, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00003258665028553793 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.88463142937874e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.17380691677858473, "moment": 4095.9998779296875, "term": -0.000010608332006758726, "partial": 0.06676327433102061, "direct": 0.0667640391800002, "error": -7.648489795952784e-7, "absoluteError": 7.648489795952784e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010608332322911666 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.1615293988322215e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.3071071049800045, "x": 2.963804501419836, "z": -2.6862358193880738, "direct": { "potential": 0.06544792326776655, "ex": -0.0005981281690454684, "ez": -0.00815593002312898, "terms": [ { "role": "real", "distance": 5.544812285150174, "potential": 0.18034875638227604, "ex": 0.017385573008408355, "ez": -0.027489294564995572 }, { "role": "image", "distance": 4.351578543401012, "potential": -0.11490083311450949, "ex": -0.017983701177453824, "ez": 0.019333364541866592 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06544792326776655, "error": 0.05955207673223345, "absoluteError": 0.05955207673223345, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.6715589548470184, "moment": 1.75, "term": -0.07345176068639264, "partial": 0.05154823931360736, "direct": 0.06544792326776655, "error": -0.013899683954159192, "absoluteError": 0.013899683954159192, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.0839448693558773 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.010493108669484663 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.17648714475282967, "moment": 3.875, "term": 0.010685745092456483, "partial": 0.06223398440606384, "direct": 0.06544792326776655, "error": -0.0032139388617027087, "absoluteError": 0.0032139388617027087, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.011030446547051855 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00034470145459537045 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.25017009910777105, "moment": 7.9375, "term": 0.007756738912765362, "partial": 0.0699907233188292, "direct": 0.06544792326776655, "error": 0.004542800051062654, "absoluteError": 0.004542800051062654, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.007817815597117845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00006107668435248317 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.42637230657350433, "moment": 15.96875, "term": -0.006649055440034812, "partial": 0.06334166787879439, "direct": 0.06544792326776655, "error": -0.0021062553889721614, "absoluteError": 0.0021062553889721614, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006662067290211005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001301185017619337 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.3152653737545703, "moment": 31.984375, "term": 0.002461808090498373, "partial": 0.06580347596929277, "direct": 0.06544792326776655, "error": 0.0003555527015262211, "absoluteError": 0.0003555527015262211, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0024630107324575806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001202641959207803 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.032841766835215225, "moment": 63.9921875, "term": -0.0001282724915252914, "partial": 0.06567520347776748, "direct": 0.06544792326776655, "error": 0.00022728021000092968, "absoluteError": 0.00022728021000092968, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00012828815170005947 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5660174768073666e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.22926783836885659, "moment": 127.99609375, "term": -0.0004477750813861086, "partial": 0.06522742839638136, "direct": 0.06544792326776655, "error": -0.00022049487138518786, "absoluteError": 0.00022049487138518786, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.000447788746814173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.366542806439737e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 255.998046875, "term": 0.000309982427065719, "partial": 0.06553741082344708, "direct": 0.06544792326776655, "error": 0.00008948755568052857, "absoluteError": 0.00008948755568052857, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0003099847920619963 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.364996277328463e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.1988593303698689, "moment": 511.9990234375, "term": -0.000097099097204979, "partial": 0.06544031172624211, "direct": 0.06544792326776655, "error": -0.00000761154152444099, "absoluteError": 0.00000761154152444099, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009709928240716254 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.852021835463763e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.03194503264127833, "moment": 1023.99951171875, "term": -0.000007799076515795837, "partial": 0.06543251264972631, "direct": 0.06544792326776655, "error": -0.000015410618040237467, "absoluteError": 0.000015410618040237467, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000007799080234687092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.718891255706354e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.22173688464494862, "moment": 2047.999755859375, "term": 0.00002706748757468898, "partial": 0.065459580137301, "direct": 0.06544792326776655, "error": 0.000011656869534443226, "absoluteError": 0.000011656869534443226, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002706749080138533 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.2266963483554517e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.2561267185432864, "moment": 4095.9998779296875, "term": -0.00001563273382019747, "partial": 0.0654439474034808, "direct": 0.06544792326776655, "error": -0.00000397586428574348, "absoluteError": 0.00000397586428574348, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015632734286089257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.6589178699521e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.356194490192345, "x": 2.8284271247461903, "z": -2.82842712474619, "direct": { "potential": 0.06423151715710404, "ex": -0.0008292786198945482, "ez": -0.007584434445841358, "terms": [ { "role": "real", "distance": 5.595865303863627, "potential": 0.17870337216829663, "ex": 0.016141475709937424, "ez": -0.027555222642792115 }, { "role": "image", "distance": 4.3678858873311, "potential": -0.11447185501119259, "ex": -0.016970754329831972, "ez": 0.019970788196950758 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06423151715710404, "error": 0.06076848284289596, "absoluteError": 0.06076848284289596, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.7071067811865475, "moment": 1.75, "term": -0.07733980419227862, "partial": 0.04766019580772138, "direct": 0.06423151715710404, "error": -0.01657132134938266, "absoluteError": 0.01657132134938266, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.08838834764831843 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.011048543456039804 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.2499999999999999, "moment": 3.875, "term": 0.015136718749999993, "partial": 0.06279691455772138, "direct": 0.06423151715710404, "error": -0.0014346025993826617, "absoluteError": 0.0014346025993826617, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015624999999999993 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812499999998 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.176776695296637, "moment": 7.9375, "term": 0.0054811133551447505, "partial": 0.06827802791286612, "direct": 0.06423151715710404, "error": 0.004046510755762081, "absoluteError": 0.004046510755762081, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.005524271728019906 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00004315837287515552 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.40625, "moment": 15.96875, "term": -0.006335258483886719, "partial": 0.0619427694289794, "direct": 0.06423151715710404, "error": -0.0022887477281246377, "absoluteError": 0.0022887477281246377, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.00634765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001239776611328125 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.3756504775053533, "moment": 31.984375, "term": 0.002933336362661202, "partial": 0.0648761057916406, "direct": 0.06423151715710404, "error": 0.0006445886345365637, "absoluteError": 0.0006445886345365637, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0029347693555105726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000014329928493703968 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.14843749999999986, "moment": 63.9921875, "term": -0.0005797632038593287, "partial": 0.06429634258778127, "direct": 0.06423151715710404, "error": 0.00006482543067723445, "absoluteError": 0.00006482543067723445, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843749995 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.07805156707763e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.1270582497444579, "moment": 127.99609375, "term": -0.0002481530707703025, "partial": 0.06404818951701098, "direct": 0.06423151715710404, "error": -0.0001833276400930589, "absoluteError": 0.0001833276400930589, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00024816064403214433 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.57326184180128e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.29833984375000006, "moment": 255.998046875, "term": 0.0002913452808570583, "partial": 0.06433953479786804, "direct": 0.06423151715710404, "error": 0.00010801764076399933, "absoluteError": 0.00010801764076399933, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00029134750366210943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133037e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.28553579494202863, "moment": 511.9990234375, "term": -0.00013942150894810572, "partial": 0.06420011328891993, "direct": 0.06423151715710404, "error": -0.00003140386818410723, "absoluteError": 0.00003140386818410723, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00013942177487403742 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.6592593169028743e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.11511230468749978, "moment": 1023.99951171875, "term": 0.00002810357661076063, "partial": 0.0642282168655307, "direct": 0.06423151715710404, "error": -0.0000033002915733465477, "absoluteError": 0.0000033002915733465477, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3400835996435464e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.10418431212062557, "moment": 2047.999755859375, "term": 0.000012717810022081022, "partial": 0.06424093467555277, "direct": 0.06423151715710404, "error": 0.00000941751844872607, "absoluteError": 0.00000941751844872607, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0000127178115381623 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.5160812781050564e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.24671936035156258, "moment": 4095.9998779296875, "term": -0.000015058554260177775, "partial": 0.06422587612129259, "direct": 0.06423151715710404, "error": -0.0000056410358114517, "absoluteError": 0.0000056410358114517, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957677 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910405e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.405281875404685, "x": 2.686235819388074, "z": -2.9638045014198355, "direct": { "potential": 0.06311009798607586, "ex": -0.001006774533379929, "ez": -0.0070447647673967, "terms": [ { "role": "real", "distance": 5.644042700554217, "potential": 0.17717796498984761, "ex": 0.014940779745320251, "ez": -0.027608562591290794 }, { "role": "image", "distance": 4.383355393008857, "potential": -0.11406786700377175, "ex": -0.01594755427870018, "ez": 0.020563797823894094 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06311009798607586, "error": 0.061889902013924136, "absoluteError": 0.061889902013924136, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.7409511253549589, "moment": 1.75, "term": -0.08104152933569862, "partial": 0.04395847066430138, "direct": 0.06311009798607586, "error": -0.019151627321774486, "absoluteError": 0.019151627321774486, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.09261889066936986 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.011577361333671233 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.32351285524717, "moment": 3.875, "term": 0.019587692407543496, "partial": 0.06354616307184488, "direct": 0.06311009798607586, "error": 0.00043606508576901626, "absoluteError": 0.00043606508576901626, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.020219553452948125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0006318610454046289 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.09445539329966175, "moment": 7.9375, "term": 0.0029286706418596297, "partial": 0.06647483371370451, "direct": 0.06311009798607586, "error": 0.0033647357276286455, "absoluteError": 0.0033647357276286455, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0029517310406144298 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000023060398754800233 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.36511159386752934, "moment": 15.96875, "term": -0.00569372633258995, "partial": 0.06078110738111455, "direct": 0.06311009798607586, "error": -0.002328990604961313, "absoluteError": 0.002328990604961313, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.005704868654180146 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011142321590195597 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.41138940880159003, "moment": 31.984375, "term": 0.0032124104302095596, "partial": 0.06399351781132412, "direct": 0.06311009798607586, "error": 0.000883419825248255, "absoluteError": 0.000883419825248255, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.003213979756262422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000015693260528625108 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.25457598836324935, "moment": 63.9921875, "term": -0.0009943160632531049, "partial": 0.06299920174807101, "direct": 0.06311009798607586, "error": -0.00011089623800485116, "absoluteError": 0.00011089623800485116, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009944374545439428 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.2139129083788364e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.002309672421461834, "moment": 127.99609375, "term": -0.000004510941280963416, "partial": 0.06299469080679004, "direct": 0.06311009798607586, "error": -0.00011540717928582023, "absoluteError": 0.00011540717928582023, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.000004511078948167645 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.3766720422874893e-10 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.22596277928012465, "moment": 255.998046875, "term": 0.0002206650930868478, "partial": 0.0632153558998769, "direct": 0.06311009798607586, "error": 0.00010525791380103233, "absoluteError": 0.00010525791380103233, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00022066677664074673 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.6835538989314783e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.31419866730659207, "moment": 511.9990234375, "term": -0.00015341702540048514, "partial": 0.0630619388744764, "direct": 0.06311009798607586, "error": -0.00004815911159945785, "absoluteError": 0.00004815911159945785, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001534173180207969 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.926203117767275e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.23896462528699844, "moment": 1023.99951171875, "term": 0.000058340945151314845, "partial": 0.06312027981962771, "direct": 0.06311009798607586, "error": 0.000010181833551850539, "absoluteError": 0.000010181833551850539, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.0000583409729704586 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.781914375803881e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.052390599589914384, "moment": 2047.999755859375, "term": -0.000006395336101619657, "partial": 0.0631138844835261, "direct": 0.06311009798607586, "error": 0.000003786497450239401, "absoluteError": 0.000003786497450239401, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000006395336864003221 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 7.623835639957453e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.14464806520842635, "moment": 4095.9998779296875, "term": -0.000008828616998143194, "partial": 0.06310505586652795, "direct": 0.06311009798607586, "error": -0.000005042119547910007, "absoluteError": 0.000005042119547910007, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000008828617261256491 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 2.631132978575376e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.454369260617026, "x": 2.537573136654582, "z": -3.092041813450948, "direct": { "potential": 0.06207935458000445, "ex": -0.001135654485316006, "ez": -0.006537864653322928, "terms": [ { "role": "real", "distance": 5.689302879422381, "potential": 0.17576845901751803, "ex": 0.01377975207482933, "ez": -0.027651251792696462 }, { "role": "image", "distance": 4.397958823528359, "potential": -0.11368910443751358, "ex": -0.014915406560145335, "ez": 0.021113387139373534 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06207935458000445, "error": 0.06292064541999555, "absoluteError": 0.06292064541999555, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.773010453362737, "moment": 1.75, "term": -0.08454801833654936, "partial": 0.04045198166345064, "direct": 0.06207935458000445, "error": -0.02162737291655381, "absoluteError": 0.02162737291655381, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.09662630667034212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012078288333792766 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 3.875, "term": 0.023995800755615207, "partial": 0.06444778241906585, "direct": 0.06207935458000445, "error": 0.002368427839061396, "absoluteError": 0.002368427839061396, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02476985884450602 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0007740580888908131 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": 0.004744040505222073, "moment": 7.9375, "term": 0.00014709305277421956, "partial": 0.06459487547184006, "direct": 0.06207935458000445, "error": 0.0025155208918356126, "absoluteError": 0.0025155208918356126, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.00014825126578818978 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0000011582130139702327 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 15.96875, "term": -0.004735356496791616, "partial": 0.05985951897504845, "direct": 0.06207935458000445, "error": -0.0022198356049559984, "absoluteError": 0.0022198356049559984, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004744623339251091 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009266842459474786 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.4187172917121639, "moment": 31.984375, "term": 0.003269631561793516, "partial": 0.06312915053684197, "direct": 0.06207935458000445, "error": 0.0010497959568375181, "absoluteError": 0.0010497959568375181, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0032712288415012803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001597279707764297 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 63.9921875, "term": -0.0013293440933995846, "partial": 0.06179980644344238, "direct": 0.06207935458000445, "error": -0.00027954813656207167, "absoluteError": 0.00027954813656207167, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0013295063866596748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.6229326009029234e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.1297080256585875, "moment": 127.99609375, "term": 0.00025332825641363483, "partial": 0.062053134699856016, "direct": 0.06207935458000445, "error": -0.000026219880148434238, "absoluteError": 0.000026219880148434238, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002533359876144287 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.73120079389736e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 255.998046875, "term": 0.00010723679769973054, "partial": 0.062160371497555746, "direct": 0.06207935458000445, "error": 0.00008101691755129509, "absoluteError": 0.00008101691755129509, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00010723761585781051 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -8.181580799698678e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.27563491752824176, "moment": 511.9990234375, "term": -0.00013458710536931576, "partial": 0.06202578439218643, "direct": 0.06207935458000445, "error": -0.000053570187818020865, "absoluteError": 0.000053570187818020865, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001345873620743368 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.567050210463272e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 1023.99951171875, "term": 0.00007470706669414928, "partial": 0.06210049145888058, "direct": 0.06207935458000445, "error": 0.000021136878876129583, "absoluteError": 0.000021136878876129583, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007470710231727165 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.562312236655791e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.20100188394358875, "moment": 2047.999755859375, "term": -0.000024536359861120236, "partial": 0.06207595509901946, "direct": 0.06207935458000445, "error": -0.0000033994809849891006, "absoluteError": 0.0000033994809849891006, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002453636278608261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.924962375889136e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 4095.9998779296875, "term": 0.000001056201236909375, "partial": 0.06207701130025637, "direct": 0.06207935458000445, "error": -0.00000234327974808074, "absoluteError": 0.00000234327974808074, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000010562012683866257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.147725070675092e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.5034566458293663, "x": 2.382797217969734, "z": -3.2128301259225793, "direct": { "potential": 0.06113536192393265, "ex": -0.001220608359558886, "ez": -0.006064469072909518, "terms": [ { "role": "real", "distance": 5.731607148408752, "potential": 0.17447113420493707, "ex": 0.012654874349810313, "ez": -0.027684987103797274 }, { "role": "image", "distance": 4.411669766190866, "potential": -0.11333577228100442, "ex": -0.013875482709369199, "ez": 0.021620518030887756 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06113536192393265, "error": 0.06386463807606735, "absoluteError": 0.06386463807606735, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.8032075314806448, "moment": 1.75, "term": -0.08785082375569553, "partial": 0.03714917624430447, "direct": 0.06113536192393265, "error": -0.02398618567962818, "absoluteError": 0.02398618567962818, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1004009414350806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012550117679385075 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.46771350794084654, "moment": 3.875, "term": 0.028318591301105943, "partial": 0.06546776754541042, "direct": 0.06113536192393265, "error": 0.0043324056214777695, "absoluteError": 0.0043324056214777695, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02923209424630291 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0009135029451969659 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.09064666593510395, "moment": 7.9375, "term": -0.002810577776796436, "partial": 0.06265718976861398, "direct": 0.06113536192393265, "error": 0.0015218278446813283, "absoluteError": 0.0015218278446813283, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0028327083104719986 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00002213053367556249 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.22337098258593527, "moment": 15.96875, "term": -0.0034833548614933143, "partial": 0.059173834907120665, "direct": 0.06113536192393265, "error": -0.001961527016811987, "absoluteError": 0.001961527016811987, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0034901716029052386 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000006816741411924294 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.39546119269714247, "moment": 31.984375, "term": 0.003088032003215983, "partial": 0.062261866910336645, "direct": 0.06113536192393265, "error": 0.0011265049864039936, "absoluteError": 0.0011265049864039936, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0030895405679464256 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000015085647304425906 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.39619276321327024, "moment": 63.9921875, "term": -0.0015474390618705257, "partial": 0.06071442784846612, "direct": 0.06113536192393265, "error": -0.0004209340754665336, "absoluteError": 0.0004209340754665336, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0015476279813018369 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8891943131125938e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.25202257016006985, "moment": 127.99609375, "term": 0.0004922165606281167, "partial": 0.061206644409094235, "direct": 0.06113536192393265, "error": 0.00007128248516158342, "absoluteError": 0.00007128248516158342, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004922315823438864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.5021715769771924e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.032880881792783534, "moment": 255.998046875, "term": -0.00003210999114410527, "partial": 0.061174534417950135, "direct": 0.06113536192393265, "error": 0.00003917249401748368, "absoluteError": 0.00003917249401748368, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003211023612576517 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.44981659895059e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.17413418211331705, "moment": 511.9990234375, "term": -0.00008502629393492327, "partial": 0.06108950812401521, "direct": 0.06113536192393265, "error": -0.00004585379991744326, "absoluteError": 0.00004585379991744326, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00008502645611001809 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.6217509481433504e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.29533797808061824, "moment": 1023.99951171875, "term": 0.00007210396417297267, "partial": 0.06116161208818818, "direct": 0.06113536192393265, "error": 0.000026250164255531283, "absoluteError": 0.000026250164255531283, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007210399855483844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.438186576597139e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.29456633033871005, "moment": 2047.999755859375, "term": -0.000035957799709920296, "partial": 0.061125654288478264, "direct": 0.06113536192393265, "error": -0.000009707635454388186, "absoluteError": 0.000009707635454388186, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000035957803996424566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.286504268220015e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.18275281893604597, "moment": 4095.9998779296875, "term": 0.000011154346526464084, "partial": 0.06113680863500472, "direct": 0.06113536192393265, "error": 0.0000014467110720714493, "absoluteError": 0.0000014467110720714493, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011154346858889525 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.3242544111280217e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.552544031041707, "x": 2.2222809320784087, "z": -3.3258784492101814, "direct": { "potential": 0.06027455791775013, "ex": -0.00126600783353748, "ez": -0.005625140398235574, "terms": [ { "role": "real", "distance": 5.770919666469178, "potential": 0.17328260620405242, "ex": 0.011562822889416778, "ez": -0.027711253041794188 }, { "role": "image", "distance": 4.424463634070256, "potential": -0.11300804828630229, "ex": -0.012828830722954258, "ez": 0.022086112643558614 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.06027455791775013, "error": 0.06472544208224987, "absoluteError": 0.06472544208224987, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.8314696123025453, "moment": 1.75, "term": -0.0909419888455909, "partial": 0.034058011154409096, "direct": 0.06027455791775013, "error": -0.026216546763341037, "absoluteError": 0.026216546763341037, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.10393370153781817 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012991712692227271 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.5370125742738177, "moment": 3.875, "term": 0.032514433207985055, "partial": 0.06657244436239415, "direct": 0.06027455791775013, "error": 0.006297886444644019, "absoluteError": 0.006297886444644019, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.033563285892113603 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0010488526841285501 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.18986965335337466, "moment": 7.9375, "term": -0.005887071771454732, "partial": 0.06068537259093942, "direct": 0.06027455791775013, "error": 0.0004108146731892845, "absoluteError": 0.0004108146731892845, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005933426667292958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000046354895838226236 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.1264854483473023, "moment": 15.96875, "term": -0.001972475100874984, "partial": 0.058712897490064433, "direct": 0.06027455791775013, "error": -0.0015616604276856988, "absoluteError": 0.0015616604276856988, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0019763351304265984 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00000386002955161445 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.3411995747413409, "moment": 31.984375, "term": 0.0026643201045819273, "partial": 0.061377217594646365, "direct": 0.06027455791775013, "error": 0.0011026596768962324, "absoluteError": 0.0011026596768962324, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0026656216776667256 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000013015730847982059 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.41470676961187086, "moment": 63.9921875, "term": -0.0016197505711988613, "partial": 0.0597574670234475, "direct": 0.06027455791775013, "error": -0.0005170908943026298, "absoluteError": 0.0005170908943026298, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0016199483187963706 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.9774759750932258e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.3479159359830652, "moment": 127.99609375, "term": 0.0006795025750611482, "partial": 0.060436969598508646, "direct": 0.06027455791775013, "error": 0.00016241168075851325, "absoluteError": 0.00016241168075851325, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006795233124669242 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.0737405775968146e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.17953444235033128, "moment": 255.998046875, "term": -0.00017532526622191273, "partial": 0.060261644332286736, "direct": 0.06027455791775013, "error": -0.000012913585463396327, "absoluteError": 0.000012913585463396327, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001753266038577454 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.3376358326549178e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.027290124874755534, "moment": 511.9990234375, "term": -0.000013325230870592365, "partial": 0.06024831910141614, "direct": 0.06027455791775013, "error": -0.000026238816333991333, "absoluteError": 0.000026238816333991333, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000013325256286501726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.5415909359935237e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.20469372625897014, "moment": 1023.99951171875, "term": 0.000049974030432957864, "partial": 0.060298293131849104, "direct": 0.06027455791775013, "error": 0.000023735214098971613, "absoluteError": 0.000023735214098971613, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004997405426244388 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.3829486018392507e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.30011160261199443, "moment": 2047.999755859375, "term": -0.00003663471274852338, "partial": 0.060261658419100576, "direct": 0.06027455791775013, "error": -0.000012899498649555918, "absoluteError": 0.000012899498649555918, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003663471711572198 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.367198600259063e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.29063696684925094, "moment": 4095.9998779296875, "term": 0.00001773907215500454, "partial": 0.06027939749125558, "direct": 0.06027455791775013, "error": 0.000004839573505451, "absoluteError": 0.000004839573505451, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000177390726836701 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.286655629774958e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.6016314162540475, "x": 2.056410976772887, "z": -3.430914440001088, "direct": { "potential": 0.05949372229463365, "ex": -0.0012759355234110478, "ez": -0.005220299572670641, "terms": [ { "role": "real", "distance": 5.807207397708846, "potential": 0.17219980818913688, "ex": 0.010500449811179707, "ez": -0.027731346092858707 }, { "role": "image", "distance": 4.436317666714264, "potential": -0.11270608589450323, "ex": -0.011776385334590755, "ez": 0.022511046520188066 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05949372229463365, "error": 0.06550627770536635, "absoluteError": 0.06550627770536635, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.857728610000272, "moment": 1.75, "term": -0.09381406671877975, "partial": 0.031185933281220254, "direct": 0.05949372229463365, "error": -0.028307789013413395, "absoluteError": 0.028307789013413395, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.107216076250034 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.01340200953125425 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 3.875, "term": 0.03654291822500868, "partial": 0.06772885150622893, "direct": 0.05949372229463365, "error": 0.008235129211595277, "absoluteError": 0.008235129211595277, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.03772172203871864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0011788038137099575 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.29098093229546573, "moment": 7.9375, "term": -0.009022113867559606, "partial": 0.05870673763866933, "direct": 0.05949372229463365, "error": -0.000786984655964322, "absoluteError": 0.000786984655964322, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.009093154134233304 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00007104026667369769 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.01589099092447077, "moment": 15.96875, "term": -0.0002478117786378346, "partial": 0.05845892586003149, "direct": 0.05949372229463365, "error": -0.0010347964346021574, "absoluteError": 0.0010347964346021574, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0002482967331948558 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 4.849545570212027e-7 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.2573190294392845, "moment": 31.984375, "term": 0.0020093233232964147, "partial": 0.06046824918332791, "direct": 0.05949372229463365, "error": 0.0009745268886942604, "absoluteError": 0.0009745268886942604, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00201030491749441 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -9.815941979953174e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.3913923122168314, "moment": 63.9921875, "term": -0.0015286895891990977, "partial": 0.05893955959412881, "direct": 0.05949372229463365, "error": -0.0005541627005048386, "absoluteError": 0.0005541627005048386, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0015288762195969977 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8663039790002413e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.4028992591938932, "moment": 127.99609375, "term": 0.0007868886009458481, "partial": 0.05972644819507466, "direct": 0.05949372229463365, "error": 0.00023272590044100955, "absoluteError": 0.00023272590044100955, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0007869126156130726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.401466722452004e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.3054908922324925, "moment": 255.998046875, "term": -0.0002983286733612792, "partial": 0.05942811952171338, "direct": 0.05949372229463365, "error": -0.0000656027729202674, "absoluteError": 0.0000656027729202674, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00029833094944579344 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.2760845142043567e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.13680962873425248, "moment": 511.9990234375, "term": 0.00006680144911650106, "partial": 0.05949492097082988, "direct": 0.05949372229463365, "error": 0.0000011986761962318182, "absoluteError": 0.0000011986761962318182, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00006680157653039672 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.2741389566497177e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.05198529090036432, "moment": 1023.99951171875, "term": 0.000012691715359337387, "partial": 0.05950761268618922, "direct": 0.05949372229463365, "error": 0.00001389039155556826, "absoluteError": 0.00001389039155556826, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000012691721411221758 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -6.051884370432738e-12 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.20949736224868543, "moment": 2047.999755859375, "term": -0.000025573405429034878, "partial": 0.05948203928076018, "direct": 0.05949372229463365, "error": -0.00001168301387347026, "absoluteError": 0.00001168301387347026, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000025573408477622733 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.0485878560093323e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.2967562558718855, "moment": 4095.9998779296875, "term": 0.000018112563905509024, "partial": 0.05950015184466569, "direct": 0.05949372229463365, "error": 0.0000064295500320429855, "absoluteError": 0.0000064295500320429855, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001811256444530551 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.397964848669025e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.650718801466388, "x": 1.8855869473039915, "z": -3.5276850573934198, "direct": { "potential": 0.05878995758721539, "ex": -0.001254212810088048, "ez": -0.00485025296961791, "terms": [ { "role": "real", "distance": 5.840440071567697, "potential": 0.17121997447900858, "ex": 0.009464765256411326, "ez": -0.02774639565383384 }, { "role": "image", "distance": 4.447210930166617, "potential": -0.11243001689179319, "ex": -0.010718978066499374, "ez": 0.02289614268421593 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05878995758721539, "error": 0.06621004241278461, "absoluteError": 0.06621004241278461, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.8819212643483549, "moment": 1.75, "term": -0.09646013828810132, "partial": 0.02853986171189868, "direct": 0.05878995758721539, "error": -0.030250095875316713, "absoluteError": 0.030250095875316713, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11024015804354437 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.013780019755443046 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.6666776747647014, "moment": 3.875, "term": 0.04036524983926903, "partial": 0.06890511155116771, "direct": 0.05878995758721539, "error": 0.010115153963952322, "absoluteError": 0.010115153963952322, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04166735467279384 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0013021048335248074 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.39198118683660804, "moment": 7.9375, "term": -0.01215371355670147, "partial": 0.05675139799446624, "direct": 0.05878995758721539, "error": -0.0020385595927491507, "absoluteError": 0.0020385595927491507, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.012249412088644001 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009569853194253126 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.1049606957439666, "moment": 15.96875, "term": 0.0016368077247670572, "partial": 0.058388205719233296, "direct": 0.05878995758721539, "error": -0.0004017518679820947, "absoluteError": 0.0004017518679820947, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0016400108709994782 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000003203146232420856 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.14696422437396278, "moment": 31.984375, "term": 0.0011475973788967202, "partial": 0.059535803098130016, "direct": 0.05878995758721539, "error": 0.000745845510914625, "absoluteError": 0.000745845510914625, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011481580029215842 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.606240248640548e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.32508718317204993, "moment": 63.9921875, "term": -0.001269716795617228, "partial": 0.05826608630251279, "direct": 0.05878995758721539, "error": -0.0005238712847026039, "absoluteError": 0.0005238712847026039, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00126987180926582 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5501364859201905e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.40647593552017675, "moment": 127.99609375, "term": 0.0007938740837090988, "partial": 0.05905996038622188, "direct": 0.05878995758721539, "error": 0.00027000279900649127, "absoluteError": 0.00027000279900649127, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0007938983115628452 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.422785374642472e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.38769828531408385, "moment": 255.998046875, "term": -0.000378608718174713, "partial": 0.05868135166804717, "direct": 0.05878995758721539, "error": -0.00010860591916821843, "absoluteError": 0.00010860591916821843, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000378611606752035 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.8885773220217514e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.28453574103629437, "moment": 511.9990234375, "term": 0.0001389332023083192, "partial": 0.05882028487035549, "direct": 0.05878995758721539, "error": 0.000030327283140098305, "absoluteError": 0.000030327283140098305, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001389334673028781 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.6499455891204473e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.12785397214267163, "moment": 1023.99951171875, "term": -0.00003121433378348313, "partial": 0.05878907053657201, "direct": 0.05878995758721539, "error": -8.870506433833469e-7, "absoluteError": 8.870506433833469e-7, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003121434866764444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4884161313841077e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.04340523075622116, "moment": 2047.999755859375, "term": -0.00000529848945091729, "partial": 0.05878377204712109, "direct": 0.05878995758721539, "error": -0.000006185540094301445, "absoluteError": 0.000006185540094301445, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000005298490082546528 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 6.316292384322319e-13 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.1905694667741781, "moment": 4095.9998779296875, "term": 0.000011631436834397303, "partial": 0.05879540348395549, "direct": 0.05878995758721539, "error": 0.000005445896740098599, "absoluteError": 0.000005445896740098599, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011631437181041144 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.4664384070161414e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.6998061866787286, "x": 1.7102203737211281, "z": -3.6159571724937734, "direct": { "potential": 0.058160672031627045, "ex": -0.0012044263943203487, "ez": -0.0045152154772575455, "terms": [ { "role": "real", "distance": 5.870590148356049, "potential": 0.17034062585343854, "ex": 0.008452920638260315, "ez": -0.02775738204057872 }, { "role": "image", "distance": 4.457124316472873, "potential": -0.11217995382181149, "ex": -0.009657347032580664, "ez": 0.023242166563321176 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.058160672031627045, "error": 0.06683932796837296, "absoluteError": 0.06683932796837296, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9039892931234433, "moment": 1.75, "term": -0.09887382893537662, "partial": 0.02612617106462338, "direct": 0.058160672031627045, "error": -0.032034500967003665, "absoluteError": 0.032034500967003665, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11299866164043042 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014124832705053802 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 3.875, "term": 0.04394461690782179, "partial": 0.07007078797244518, "direct": 0.058160672031627045, "error": 0.01191011594081813, "absoluteError": 0.01191011594081813, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04536218519517088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00141756828734909 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.4908585973608312, "moment": 7.9375, "term": -0.015219492642779678, "partial": 0.05485129532966549, "direct": 0.058160672031627045, "error": -0.003309376701961554, "absoluteError": 0.003309376701961554, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.015339331167525975 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00011983852474629668 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 15.96875, "term": 0.0036207718634100002, "partial": 0.05847206719307549, "direct": 0.058160672031627045, "error": 0.0003113951614484439, "absoluteError": 0.0003113951614484439, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0036278575226338945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007085659223894325 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": 0.014883367911763479, "moment": 31.984375, "term": 0.00011621953626777588, "partial": 0.05858828672934327, "direct": 0.058160672031627045, "error": 0.00042761469771622485, "absoluteError": 0.00042761469771622485, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00011627631181065218 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.677554287629501e-8 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 63.9921875, "term": -0.000852052790010912, "partial": 0.05773623393933235, "direct": 0.058160672031627045, "error": -0.0004244380922946919, "absoluteError": 0.0004244380922946919, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0008521568130593812 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.0402304846916274e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.3534847751479016, "moment": 127.99609375, "term": 0.0006903788821262892, "partial": 0.05842661282145865, "direct": 0.058160672031627045, "error": 0.00026594078983160213, "absoluteError": 0.00026594078983160213, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006903999514607453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.1069334456199503e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.408266471404419, "moment": 255.998046875, "term": -0.0003986946841586277, "partial": 0.058027918137300016, "direct": 0.058160672031627045, "error": -0.00013275389432702844, "absoluteError": 0.00013275389432702844, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00039869772598087795 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.0418222502203213e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.38292073555131134, "moment": 511.9990234375, "term": 0.00018697265878318844, "partial": 0.058214890796083205, "direct": 0.058160672031627045, "error": 0.00005421876445615981, "absoluteError": 0.00005421876445615981, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00018697301540591374 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.5662272530730007e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 1023.99951171875, "term": -0.00007086350169238868, "partial": 0.05814402729439082, "direct": 0.058160672031627045, "error": -0.000016644737236226614, "absoluteError": 0.000016644737236226614, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007086353548275557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.379036687982348e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.1528151867784473, "moment": 2047.999755859375, "term": 0.000018654195381037285, "partial": 0.058162681489771856, "direct": 0.058160672031627045, "error": 0.000002009458144811016, "absoluteError": 0.000002009458144811016, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00001865419760479093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.223753643607012e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 4095.9998779296875, "term": 7.899842700966444e-8, "partial": 0.058162760488198864, "direct": 0.058160672031627045, "error": 0.0000020884565718193304, "absoluteError": 0.0000020884565718193304, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 7.89984293640011e-8 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.354336660027537e-15 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.748893571891069, "x": 1.5307337294603596, "z": -3.695518130045147, "direct": { "potential": 0.05760356430665747, "ex": -0.0011299536492881167, "ez": -0.004215330270628568, "terms": [ { "role": "real", "distance": 5.897632789533492, "potential": 0.16955955646724843, "ex": 0.007462192831843593, "ez": -0.027765151930532892 }, { "role": "image", "distance": 4.466040542812521, "potential": -0.11195599216059096, "ex": -0.00859214648113171, "ez": 0.023549821659904324 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05760356430665747, "error": 0.06739643569334253, "absoluteError": 0.06739643569334253, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9238795325112867, "moment": 1.75, "term": -0.10104932386842198, "partial": 0.023950676131578016, "direct": 0.05760356430665747, "error": -0.03365288817507946, "absoluteError": 0.03365288817507946, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11548494156391084 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014435617695488855 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 3.875, "term": 0.04724654816911567, "partial": 0.0711972243006937, "direct": 0.05760356430665747, "error": 0.013593659994036222, "absoluteError": 0.013593659994036222, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.048770630368119405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0015240821990037314 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.5856319699199135, "moment": 7.9375, "term": -0.018158022504841068, "partial": 0.05303920179585262, "direct": 0.05760356430665747, "error": -0.004564362510804852, "absoluteError": 0.004564362510804852, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.018300999059997297 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00014297655515622888 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.361595869120796, "moment": 15.96875, "term": 0.005638900424826866, "partial": 0.058678102220679484, "direct": 0.05760356430665747, "error": 0.0010745379140220113, "absoluteError": 0.0010745379140220113, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0056499354550124375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011035030185571167 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.13282226460246935, "moment": 31.984375, "term": -0.0010371672654771987, "partial": 0.05764093495520229, "direct": 0.05760356430665747, "error": 0.00003737064854481692, "absoluteError": 0.00003737064854481692, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0010376739422067918 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.0667672959316e-7 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 63.9921875, "term": -0.00029823823574192434, "partial": 0.057342696719460365, "direct": 0.05760356430665747, "error": -0.00026086758719710834, "absoluteError": 0.00026086758719710834, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0002982746462211994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 3.6410479275048754e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.2448614310714851, "moment": 127.99609375, "term": 0.0004782303876828761, "partial": 0.05782092710714324, "direct": 0.05760356430665747, "error": 0.00021736280048576667, "absoluteError": 0.00021736280048576667, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004782449825614943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4594878618209665e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 255.998046875, "term": -0.00034897546262992125, "partial": 0.05747195164451332, "direct": 0.05760356430665747, "error": -0.00013161266214415518, "absoluteError": 0.00013161266214415518, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0003489781251217206 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.6624917993295334e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.40596522898250775, "moment": 511.9990234375, "term": 0.00019822483137953286, "partial": 0.05767017647589285, "direct": 0.05760356430665747, "error": 0.00006661216923537633, "absoluteError": 0.00006661216923537633, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00019822520946411511 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.780845822603514e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 1023.99951171875, "term": -0.00009545927948813527, "partial": 0.057574717196404716, "direct": 0.05760356430665747, "error": -0.000028847110252756825, "absoluteError": 0.000028847110252756825, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009545932500668852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.551855326017786e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.3205772382807112, "moment": 2047.999755859375, "term": 0.000039132958992300586, "partial": 0.057613850155397016, "direct": 0.05760356430665747, "error": 0.000010285848739542691, "absoluteError": 0.000010285848739542691, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00003913296365731338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.6650127956048705e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 4095.9998779296875, "term": -0.000012771625801113792, "partial": 0.0576010785295959, "direct": 0.05760356430665747, "error": -0.000002485777061571326, "absoluteError": 0.000002485777061571326, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012771626181737913 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.806241208832834e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.7979809571034093, "x": 1.3475594135688813, "z": -3.766176260732083, "direct": { "potential": 0.057116610013267954, "ex": -0.0010339868540677989, "ez": -0.0039506856670395996, "terms": [ { "role": "real", "distance": 5.921545832207021, "potential": 0.16887482227377945, "ex": 0.006489969220935973, "ez": -0.027770431550423087 }, { "role": "image", "distance": 4.473944150381415, "potential": -0.1117582122605115, "ex": -0.0075239560750037715, "ez": 0.023819745883383488 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.057116610013267954, "error": 0.06788338998673205, "absoluteError": 0.06788338998673205, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9415440651830207, "moment": 1.75, "term": -0.1029813821293929, "partial": 0.022018617870607105, "direct": 0.057116610013267954, "error": -0.03509799214266085, "absoluteError": 0.03509799214266085, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11769300814787759 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014711626018484698 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.8297578400220524, "moment": 3.875, "term": 0.05023924422008521, "partial": 0.07225786209069232, "direct": 0.057116610013267954, "error": 0.015141252077424366, "absoluteError": 0.015141252077424366, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05185986500137828 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0016206207812930712 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.6743932395643957, "moment": 7.9375, "term": -0.02091014194938434, "partial": 0.05134772014130798, "direct": 0.057116610013267954, "error": -0.005768889871959976, "absoluteError": 0.005768889871959976, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.021074788736387365 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001646467870030263 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.4888807865284246, "moment": 15.96875, "term": 0.007623842831909942, "partial": 0.058971562973217914, "direct": 0.057116610013267954, "error": 0.0018549529599499598, "absoluteError": 0.0018549529599499598, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.007638762289506634 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000014919457596692645 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.28903045399660526, "moment": 31.984375, "term": -0.0022569478581659355, "partial": 0.05671461511505198, "direct": 0.057116610013267954, "error": -0.00040199489821597656, "absoluteError": 0.00040199489821597656, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0022580504218484786 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000011025636825432025 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.0915133436920188, "moment": 63.9921875, "term": 0.0003574303618342047, "partial": 0.057072045476886185, "direct": 0.057116610013267954, "error": -0.00004456453638176927, "absoluteError": 0.00004456453638176927, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00035747399879694844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.363696274376812e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.08772181866886648, "moment": 127.99609375, "term": 0.00017132644845978904, "partial": 0.057243371925345975, "direct": 0.057116610013267954, "error": 0.0001267619120780203, "absoluteError": 0.0001267619120780203, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00017133167708762985 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.228627840809016e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.2349378465206396, "moment": 255.998046875, "term": -0.00022942974031945132, "partial": 0.05701394218502653, "direct": 0.057116610013267954, "error": -0.00010266782824142756, "absoluteError": 0.00010266782824142756, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002294314907428121 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7504233607697457e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.3398554607757397, "moment": 511.9990234375, "term": 0.00016594473269184143, "partial": 0.057179886917718366, "direct": 0.057116610013267954, "error": 0.0000632769044504114, "absoluteError": 0.0000632769044504114, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00016594504920690415 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.1651506272679166e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.39653483314695764, "moment": 1023.99951171875, "term": -0.00009681021583603874, "partial": 0.057083076701882327, "direct": 0.057116610013267954, "error": -0.00003353331138562787, "absoluteError": 0.00003353331138562787, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009681026199876896 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.616273021639297e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.403809162435237, "moment": 2047.999755859375, "term": 0.000049293104772635945, "partial": 0.05713236980665496, "direct": 0.057116610013267954, "error": 0.000015759793387006005, "absoluteError": 0.000015759793387006005, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004929311064883264 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.876196700195389e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.36523430030035103, "moment": 4095.9998779296875, "term": -0.000022292131922334025, "partial": 0.057110077674732626, "direct": 0.057116610013267954, "error": -0.000006532338535328308, "absoluteError": 0.000006532338535328308, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000022292132586691347 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 6.643573220578238e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.84706834231575, "x": 1.1611387090178495, "z": -3.8277613429288353, "direct": { "potential": 0.05669804980829932, "ex": -0.0009195564023484638, "ez": -0.0037213294031900428, "terms": [ { "role": "real", "distance": 5.94230976739814, "potential": 0.16828473087794837, "ex": 0.0055337335131844315, "ez": -0.027773837871173972 }, { "role": "image", "distance": 4.480821503131857, "potential": -0.11158668106964906, "ex": -0.006453289915532895, "ez": 0.02405250846798393 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05669804980829932, "error": 0.06830195019170068, "absoluteError": 0.06830195019170068, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9569403357322088, "moment": 1.75, "term": -0.10466534922071034, "partial": 0.020334650779289656, "direct": 0.05669804980829932, "error": -0.03636339902900966, "absoluteError": 0.03636339902900966, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1196175419665261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014952192745815763 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 3.875, "term": 0.0528938837617855, "partial": 0.07322853454107515, "direct": 0.05669804980829932, "error": 0.016530484732775838, "absoluteError": 0.016530484732775838, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.054600138076681806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017062543148963064 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.7553484285018567, "moment": 7.9375, "term": -0.02342022715325581, "partial": 0.04980830738781934, "direct": 0.05669804980829932, "error": -0.0068897424204799745, "absoluteError": 0.0068897424204799745, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.02360463839068302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001844112374272111 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 15.96875, "term": 0.009508568108359164, "partial": 0.059316875496178506, "direct": 0.05669804980829932, "error": 0.0026188256878791893, "absoluteError": 0.0026188256878791893, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.009527175873737557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000018607765378393666 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.44599261608168855, "moment": 31.984375, "term": -0.0034826159863251363, "partial": 0.05583425950985337, "direct": 0.05669804980829932, "error": -0.0008637902984459447, "absoluteError": 0.0008637902984459447, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003484317313138192 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000017013268130557577 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 63.9921875, "term": 0.001071467680421373, "partial": 0.056905727190274744, "direct": 0.05669804980829932, "error": 0.00020767738197542684, "absoluteError": 0.00020767738197542684, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010715984907840176 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.308103626445334e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.10525161013461, "moment": 127.99609375, "term": -0.00020556327755932605, "partial": 0.05670016391271542, "direct": 0.05669804980829932, "error": 0.0000021141044161052114, "absoluteError": 0.0000021141044161052114, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00020556955104416015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 6.273484834111333e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 255.998046875, "term": -0.000049988855478407816, "partial": 0.05665017505723701, "direct": 0.05669804980829932, "error": -0.00004787475106230593, "absoluteError": 0.00004787475106230593, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000049989236866018185 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.8138761036696003e-10 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.18608382805779736, "moment": 511.9990234375, "term": 0.00009086107086477653, "partial": 0.05674103612810179, "direct": 0.05669804980829932, "error": 0.00004298631980247103, "absoluteError": 0.00004298631980247103, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009086124416884637 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.7330406984109185e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 1023.99951171875, "term": -0.00007135373770599912, "partial": 0.05666968239039579, "direct": 0.05669804980829932, "error": -0.00002836741790352565, "absoluteError": 0.00002836741790352565, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007135377173012885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.402412973886912e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.36476783781133404, "moment": 2047.999755859375, "term": 0.00004452731864350821, "partial": 0.0567142097090393, "direct": 0.05669804980829932, "error": 0.0000161599007399843, "absoluteError": 0.0000161599007399843, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004452732395157886 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.308070653865202e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 4095.9998779296875, "term": -0.00002448266923320739, "partial": 0.05668972703980609, "direct": 0.05669804980829932, "error": -0.000008322768493225496, "absoluteError": 0.000008322768493225496, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000024482669962847813 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 7.29640423144335e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.8961557275280905, "x": 0.9719207196130563, "z": -3.880125012778176, "direct": { "potential": 0.056346379115144465, "ex": -0.0007895530886841877, "ez": -0.0035272806213484734, "terms": [ { "role": "real", "distance": 5.959907721694415, "potential": 0.16778783274780265, "ex": 0.004591052234960046, "ez": -0.027775888029743234 }, { "role": "image", "distance": 4.486660786462263, "potential": -0.11144145363265819, "ex": -0.005380605323644234, "ez": 0.02424860740839476 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.056346379115144465, "error": 0.06865362088485553, "absoluteError": 0.06865362088485553, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.970031253194544, "moment": 1.75, "term": -0.10609716831815325, "partial": 0.018902831681846755, "direct": 0.056346379115144465, "error": -0.03744354743329771, "absoluteError": 0.03744354743329771, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.121253906649318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.01515673833116475 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 3.875, "term": 0.05518490116425635, "partial": 0.07408773284610311, "direct": 0.056346379115144465, "error": 0.017741353730958642, "absoluteError": 0.017741353730958642, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05696505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017801581020727856 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.8268561732948031, "moment": 7.9375, "term": -0.025637386232529296, "partial": 0.04845034661357381, "direct": 0.056346379115144465, "error": -0.007896032501570657, "absoluteError": 0.007896032501570657, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.025839255415462597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00020186918293330154 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 15.96875, "term": 0.01122885176620281, "partial": 0.05967919837977662, "direct": 0.056346379115144465, "error": 0.0033328192646321572, "absoluteError": 0.0033328192646321572, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.011250826035803988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000021974269601179665 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.5957678730232003, "moment": 31.984375, "term": -0.004652163833917583, "partial": 0.05502703454585904, "direct": 0.056346379115144465, "error": -0.0013193445692854244, "absoluteError": 0.0013193445692854244, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.004654436507993753 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000022726740761688245 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 63.9921875, "term": 0.0017945619585907437, "partial": 0.05682159650444978, "direct": 0.056346379115144465, "error": 0.00047521738930531715, "absoluteError": 0.00047521738930531715, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0017947810480741513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -2.1908948340748917e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.3170599751888516, "moment": 127.99609375, "term": -0.0006192388657935322, "partial": 0.05620235763865625, "direct": 0.056346379115144465, "error": -0.00014402147648821806, "absoluteError": 0.00014402147648821806, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006192577640407258 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.8898247193625664e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 255.998046875, "term": 0.0001705460179074426, "partial": 0.056372903656563694, "direct": 0.056346379115144465, "error": 0.000026524541419228886, "absoluteError": 0.000026524541419228886, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017054731908022611 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3011727835100259e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.038159342705236465, "moment": 511.9990234375, "term": -0.00001863245601663395, "partial": 0.056354271200547056, "direct": 0.056346379115144465, "error": 0.000007892085402590177, "absoluteError": 0.000007892085402590177, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000018632491555291243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.5538657293875204e-11 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 1023.99951171875, "term": -0.000021202742505950446, "partial": 0.056333068458041105, "direct": 0.056346379115144465, "error": -0.000013310657103360324, "absoluteError": 0.000013310657103360324, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002120275261621075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.0110260303597807e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": 0.195519374167494, "moment": 2047.999755859375, "term": 0.00002386710825924906, "partial": 0.05635693556630036, "direct": 0.056346379115144465, "error": 0.000010556451155892266, "absoluteError": 0.000010556451155892266, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000023867111104430418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.8451813583887122e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 4095.9998779296875, "term": -0.000017328218883179408, "partial": 0.05633960734741718, "direct": 0.056346379115144465, "error": -0.000006771767727287159, "absoluteError": 0.000006771767727287159, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001732821939960059 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.164211809516129e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.945243112740431, "x": 0.7803612880645144, "z": -3.9231411216129217, "direct": { "potential": 0.05606033934328626, "ex": -0.0006467495801905829, "ez": -0.0033685398064526376, "terms": [ { "role": "real", "distance": 5.974325441960095, "potential": 0.1673829137222082, "ex": 0.003659561817191219, "ez": -0.027777007160685555 }, { "role": "image", "distance": 4.4914520059344865, "potential": -0.11132257437892194, "ex": -0.004306311397381802, "ez": 0.024408467354232917 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05606033934328626, "error": 0.06893966065671374, "absoluteError": 0.06893966065671374, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9807852804032304, "moment": 1.75, "term": -0.10727339004410333, "partial": 0.01772660995589667, "direct": 0.05606033934328626, "error": -0.03833372938738959, "absoluteError": 0.03833372938738959, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1225981600504038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015324770006300475 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.942909649383465, "moment": 3.875, "term": 0.05709023267751448, "partial": 0.07481684263341115, "direct": 0.05606033934328626, "error": 0.01875650329012489, "absoluteError": 0.01875650329012489, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05893185308646656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00184162040895208 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.8874629878403022, "moment": 7.9375, "term": -0.027516552601493743, "partial": 0.04730029003191741, "direct": 0.05606033934328626, "error": -0.008760049311368853, "absoluteError": 0.008760049311368853, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.027733218370009444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00021666576851569878 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 15.96875, "term": 0.012725664903539066, "partial": 0.060025954935456476, "direct": 0.05606033934328626, "error": 0.003965615592170214, "absoluteError": 0.003965615592170214, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.012750568357362038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00002490345382297273 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.73067124627282, "moment": 31.984375, "term": -0.0057055818219011786, "partial": 0.054320373113555295, "direct": 0.05606033934328626, "error": -0.001739966229730966, "absoluteError": 0.001739966229730966, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.005708369111506406 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000027872896052277374 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 63.9921875, "term": 0.0024754567419142805, "partial": 0.056795829855469576, "direct": 0.05606033934328626, "error": 0.000735490512183315, "absoluteError": 0.000735490512183315, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0024757589585840296 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.0221666974902706e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.5281402859064391, "moment": 127.99609375, "term": -0.0010314925162968809, "partial": 0.055764337339172694, "direct": 0.05606033934328626, "error": -0.0002960020041135672, "absoluteError": 0.0002960020041135672, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001031523995911014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.147961413302655e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 255.998046875, "term": 0.0004068967030095573, "partial": 0.05617123404218225, "direct": 0.05606033934328626, "error": 0.00011089469889598996, "absoluteError": 0.00011089469889598996, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00040689980740872273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -3.1043991654107875e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.3024539676839803, "moment": 511.9990234375, "term": -0.00014768231972598562, "partial": 0.056023551722456266, "direct": 0.05606033934328626, "error": -0.00003678762082999498, "absoluteError": 0.00003678762082999498, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001476826014081935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.816822078861113e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 1023.99951171875, "term": 0.00004605019692575477, "partial": 0.05606960191938202, "direct": 0.05606033934328626, "error": 0.000009262576095757369, "absoluteError": 0.000009262576095757369, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004605021888421028 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.195845550737871e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.07821867068308724, "moment": 2047.999755859375, "term": -0.000009548176435387583, "partial": 0.05606005374294663, "direct": 0.05606033934328626, "error": -2.8560033962787834e-7, "absoluteError": 2.8560033962787834e-7, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000009548177573619048 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.138231465055829e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 4095.9998779296875, "term": -0.0000015786594291554173, "partial": 0.05605847508351748, "direct": 0.05606033934328626, "error": -0.0000018642597687801299, "absoluteError": 0.0000018642597687801299, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001578659476203136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.704771865019608e-14 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 2.9943304979527716, "x": 0.5869218978214472, "z": -3.956706039859124, "direct": { "potential": 0.055838910557797175, "ex": -0.0004938211854984562, "ez": -0.0032450968751602458, "terms": [ { "role": "real", "distance": 5.985551282834064, "potential": 0.1670689887609677, "ex": 0.0027369561844032414, "ez": -0.02777753478781316 }, { "role": "image", "distance": 4.49518698608402, "potential": -0.11123007820317053, "ex": -0.0032307773699016976, "ez": 0.024532437912652916 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.055838910557797175, "error": 0.06916108944220282, "absoluteError": 0.06916108944220282, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.989176509964781, "moment": 1.75, "term": -0.10819118077739792, "partial": 0.01680881922260208, "direct": 0.055838910557797175, "error": -0.0390300913351951, "absoluteError": 0.0390300913351951, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.12364706374559763 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015455882968199703 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 3.875, "term": 0.058591528917527065, "partial": 0.07540034814012914, "direct": 0.055838910557797175, "error": 0.01956143758233196, "absoluteError": 0.01956143758233196, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06048157823744729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0018900493199202279 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.9359344994389449, "moment": 7.9375, "term": -0.029019453473814943, "partial": 0.046380894666314204, "direct": 0.055838910557797175, "error": -0.009458015891482971, "absoluteError": 0.009458015891482971, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.02924795310746703 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00022849963365208616 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 15.96875, "term": 0.013947374461752985, "partial": 0.060328269128067186, "direct": 0.055838910557797175, "error": 0.004489358570270011, "absoluteError": 0.004489358570270011, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.013974668736629213 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000027294274876228932 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.843709698872081, "moment": 31.984375, "term": -0.006588263525356864, "partial": 0.05374000560271032, "direct": 0.055838910557797175, "error": -0.0020989049550868555, "absoluteError": 0.0020989049550868555, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.006591482022438133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000032184970812686196 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 63.9921875, "term": 0.003065030735511151, "partial": 0.056805036338221475, "direct": 0.055838910557797175, "error": 0.0009661257804242998, "absoluteError": 0.0009661257804242998, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00306540493044895 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.741949377989441e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.7184273953711477, "moment": 127.99609375, "term": -0.001403135684974575, "partial": 0.0554019006532469, "direct": 0.055838910557797175, "error": -0.00043700990455027705, "absoluteError": 0.00043700990455027705, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001403178506584273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 4.2821609698006376e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.645820864860035, "moment": 255.998046875, "term": 0.0006306796265994731, "partial": 0.056032580279846374, "direct": 0.055838910557797175, "error": 0.0001936697220491987, "absoluteError": 0.0001936697220491987, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0006306844383398779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -4.811740404814742e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.568078325870053, "moment": 511.9990234375, "term": -0.0002773814659895678, "partial": 0.0557551988138568, "direct": 0.055838910557797175, "error": -0.00008371174394037478, "absoluteError": 0.00008371174394037478, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00027738199505373683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 5.290641690325486e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 1023.99951171875, "term": 0.00011875671085049533, "partial": 0.0558739555247073, "direct": 0.055838910557797175, "error": 0.00003504496691012632, "absoluteError": 0.00003504496691012632, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00011875676747813485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -5.662763952166312e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.4021488268732769, "moment": 2047.999755859375, "term": -0.00004909042711589367, "partial": 0.0558248650975914, "direct": 0.055838910557797175, "error": -0.000014045460205773519, "absoluteError": 0.000014045460205773519, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004909043296792931 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.852035637847103e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 4095.9998779296875, "term": 0.000019320714068173424, "partial": 0.05584418581165958, "direct": 0.055838910557797175, "error": 0.0000052752538624023515, "absoluteError": 0.0000052752538624023515, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001932071464397559 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.758021665804264e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 3.043417883165112, "x": 0.3920685613182433, "z": -3.9807389066887873, "direct": { "potential": 0.05568130554909691, "ex": -0.00033336603542270045, "ez": -0.0031569375808906015, "terms": [ { "role": "real", "distance": 5.99357619679229, "potential": 0.16684529689222793, "ex": 0.0018209747603989063, "ez": -0.027777729897541962 }, { "role": "image", "distance": 4.49785936937659, "potential": -0.11116399134313103, "ex": -0.0021543407958216068, "ez": 0.02462079231665136 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05568130554909691, "error": 0.06931869445090309, "absoluteError": 0.06931869445090309, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9951847266721968, "moment": 1.75, "term": -0.10884832947977152, "partial": 0.01615167052022848, "direct": 0.05568130554909691, "error": -0.03952963502886843, "absoluteError": 0.03952963502886843, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1243980908340246 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015549761354253075 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9855889603024226, "moment": 3.875, "term": 0.059674331580810744, "partial": 0.07582600210103922, "direct": 0.05568130554909691, "error": 0.020144696551942315, "absoluteError": 0.020144696551942315, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06159931001890141 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019249784380906691 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.971281982334704, "moment": 7.9375, "term": -0.030115432557741066, "partial": 0.045710569543298156, "direct": 0.05568130554909691, "error": -0.009970736005798751, "absoluteError": 0.009970736005798751, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0303525619479595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0002371293902184336 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.9523670194681186, "moment": 15.96875, "term": 0.014851670744269062, "partial": 0.060562240287567216, "direct": 0.05568130554909691, "error": 0.004880934738470309, "absoluteError": 0.004880934738470309, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.014880734679189354 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000029063934920291706 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.9289804156620267, "moment": 31.984375, "term": -0.007254115718308139, "partial": 0.05330812456925908, "direct": 0.05568130554909691, "error": -0.0023731809798378245, "absoluteError": 0.0023731809798378245, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.007257659497359584 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000035437790514451092 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.9012905390247039, "moment": 63.9921875, "term": 0.003520236399245906, "partial": 0.056828360968504986, "direct": 0.05568130554909691, "error": 0.0011470554194080787, "absoluteError": 0.0011470554194080787, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0035206661680652496 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.2976881934390254e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.8694964327911171, "moment": 127.99609375, "term": -0.0016981833942691406, "partial": 0.05513017757423584, "direct": 0.05568130554909691, "error": -0.0005511279748610654, "absoluteError": 0.0005511279748610654, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0016982352202951506 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.1826026009983844e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.8338262217465304, "moment": 255.998046875, "term": 0.0008142772071848772, "partial": 0.055944454781420724, "direct": 0.05568130554909691, "error": 0.00026314923232381715, "absoluteError": 0.00026314923232381715, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0008142834196743461 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.212489468951005e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.794535287505211, "moment": 511.9990234375, "term": -0.00038795594338350423, "partial": 0.05555649883803722, "direct": 0.05568130554909691, "error": -0.00012480671105968844, "absoluteError": 0.00012480671105968844, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0003879566833521538 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 7.399686495822025e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.7519042279899711, "moment": 1023.99951171875, "term": 0.00018357028062844136, "partial": 0.05574006911866566, "direct": 0.05568130554909691, "error": 0.000058763569568749674, "absoluteError": 0.000058763569568749674, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00018357036816161405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -8.753317268448546e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.706236618261921, "moment": 2047.999755859375, "term": -0.0000862105144130805, "partial": 0.05565385860425258, "direct": 0.05568130554909691, "error": -0.00002744694484432819, "absoluteError": 0.00002744694484432819, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000862105246901759 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.0277095400115955e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.6578565915050589, "moment": 4095.9998779296875, "term": 0.000040152378655969526, "partial": 0.05569401098290855, "direct": 0.05568130554909691, "error": 0.000012705433811641131, "absoluteError": 0.000012705433811641131, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000040152379852603694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.1966341690004973e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 3.0925052683774528, "x": 0.19627069730967187, "z": -3.9951818248206896, "direct": { "potential": 0.05558696526242135, "ex": -0.0001679247915436613, "ez": -0.003104048365030816, "terms": [ { "role": "real", "distance": 5.998393726597376, "potential": 0.16671129732046713, "ex": 0.0009093908053142765, "ez": -0.027777774789668197 }, { "role": "image", "distance": 4.499464615353774, "potential": -0.11112433205804578, "ex": -0.0010773155968579378, "ez": 0.02467372642463738 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05558696526242135, "error": 0.06941303473757865, "absoluteError": 0.06941303473757865, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -0.9987954562051724, "moment": 1.75, "term": -0.10924325302244073, "partial": 0.01575674697755927, "direct": 0.05558696526242135, "error": -0.03983021828486208, "absoluteError": 0.03983021828486208, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.12484943202564655 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015606179003205819 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 3.875, "term": 0.060328212685798, "partial": 0.07608495966335727, "direct": 0.05558696526242135, "error": 0.020497994400935915, "absoluteError": 0.020497994400935915, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06227428406275923 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019460713769612259 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.9927836148049279, "moment": 7.9375, "term": -0.030782109150445765, "partial": 0.04530285051291151, "direct": 0.05558696526242135, "error": -0.01028411474950984, "absoluteError": 0.01028411474950984, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.031024487962653998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00024237881220823436 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 15.96875, "term": 0.015407148669529743, "partial": 0.06070999918244125, "direct": 0.05558696526242135, "error": 0.0051230339200199, "absoluteError": 0.0051230339200199, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015437299645399664 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00003015097586992122 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.9820078944232723, "moment": 31.984375, "term": -0.007668190612352136, "partial": 0.05304180857008911, "direct": 0.05558696526242135, "error": -0.00254515669233224, "absoluteError": 0.00254515669233224, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.007671936675181815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000037460628296786205 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 63.9921875, "term": 0.003807568593219541, "partial": 0.05684937716330866, "direct": 0.05558696526242135, "error": 0.0012624119008873072, "absoluteError": 0.0012624119008873072, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0038080334410517005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.648478321596314e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -0.966546082686236, "moment": 127.99609375, "term": -0.001887727707110637, "partial": 0.05496164945619802, "direct": 0.05558696526242135, "error": -0.0006253158062233324, "absoluteError": 0.0006253158062233324, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0018877853177465547 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.761063591755843e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 255.998046875, "term": 0.0009346524891855369, "partial": 0.05589630194538356, "direct": 0.05558696526242135, "error": 0.00030933668296220795, "absoluteError": 0.00030933668296220795, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009346596200725309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.13088699396157e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -0.9465097121190144, "moment": 511.9990234375, "term": -0.00046216206386475047, "partial": 0.0554341398815188, "direct": 0.05558696526242135, "error": -0.00015282538090254788, "absoluteError": 0.00015282538090254788, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0004621629453706125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 8.815058619892358e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 1023.99951171875, "term": 0.00022822741402575585, "partial": 0.05566236729554456, "direct": 0.05558696526242135, "error": 0.00007540203312320776, "absoluteError": 0.00007540203312320776, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00022822752285311926 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.0882736342102016e-10 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.9220431656352109, "moment": 2047.999755859375, "term": -0.00011255408395008548, "partial": 0.055549813211594475, "direct": 0.05558696526242135, "error": -0.00003715205082687606, "absoluteError": 0.00003715205082687606, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00011255409736757946 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.3417493983218606e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 4095.9998779296875, "term": 0.000055432273679328685, "partial": 0.055605245485273805, "direct": 0.05558696526242135, "error": 0.00001828022285245423, "absoluteError": 0.00001828022285245423, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000055432275331339224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.6520105401080615e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, { "radius": 4, "theta": 3.141592653589793, "x": 4.898587196589413e-16, "z": -4, "direct": { "potential": 0.05555555555555555, "ex": -4.1997489682693867e-19, "ez": -0.0030864197530864196, "terms": [ { "role": "real", "distance": 6, "potential": 0.16666666666666666, "ex": 2.267864442865469e-18, "ez": -0.027777777777777776 }, { "role": "image", "distance": 4.5, "potential": -0.1111111111111111, "ex": -2.6878393396924077e-18, "ez": 0.024691358024691357 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.05555555555555555, "error": 0.06944444444444445, "absoluteError": 0.06944444444444445, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": -1, "moment": 1.75, "term": -0.109375, "partial": 0.015625, "direct": 0.05555555555555555, "error": -0.03993055555555555, "absoluteError": 0.03993055555555555, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015625 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 1, "moment": 3.875, "term": 0.060546875, "partial": 0.076171875, "direct": 0.05555555555555555, "error": 0.020616319444444448, "absoluteError": 0.020616319444444448, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001953125 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -1, "moment": 7.9375, "term": -0.031005859375, "partial": 0.045166015625, "direct": 0.05555555555555555, "error": -0.010389539930555552, "absoluteError": 0.010389539930555552, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000244140625 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": 1, "moment": 15.96875, "term": 0.015594482421875, "partial": 0.060760498046875, "direct": 0.05555555555555555, "error": 0.0052049424913194475, "absoluteError": 0.0052049424913194475, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000030517578125 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -1, "moment": 31.984375, "term": -0.007808685302734375, "partial": 0.052951812744140625, "direct": 0.05555555555555555, "error": -0.0026037428114149275, "absoluteError": 0.0026037428114149275, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0078125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000003814697265625 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": 1, "moment": 63.9921875, "term": 0.003905773162841797, "partial": 0.05685758590698242, "direct": 0.05555555555555555, "error": 0.0013020303514268694, "absoluteError": 0.0013020303514268694, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00390625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.76837158203125e-7 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": -1, "moment": 127.99609375, "term": -0.0019530653953552246, "partial": 0.0549045205116272, "direct": 0.05555555555555555, "error": -0.0006510350439283552, "absoluteError": 0.0006510350439283552, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001953125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.960464477539063e-8 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 1, "moment": 255.998046875, "term": 0.0009765550494194031, "partial": 0.0558810755610466, "direct": 0.05555555555555555, "error": 0.00032552000549104787, "absoluteError": 0.00032552000549104787, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.450580596923828e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": -1, "moment": 511.9990234375, "term": -0.0004882803186774254, "partial": 0.055392795242369175, "direct": 0.05555555555555555, "error": -0.00016276031318637751, "absoluteError": 0.00016276031318637751, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00048828125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 9.313225746154785e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 1, "moment": 1023.99951171875, "term": 0.00024414050858467817, "partial": 0.05563693575095385, "direct": 0.05555555555555555, "error": 0.00008138019539830066, "absoluteError": 0.00008138019539830066, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000244140625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.1641532182693481e-10 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -1, "moment": 2047.999755859375, "term": -0.00012207029794808477, "partial": 0.05551486545300577, "direct": 0.05555555555555555, "error": -0.00004069010254978411, "absoluteError": 0.00004069010254978411, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.4551915228366852e-11 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": 1, "moment": 4095.9998779296875, "term": 0.000061035154431010596, "partial": 0.05557590060743678, "direct": 0.05555555555555555, "error": 0.000020345051881226484, "absoluteError": 0.000020345051881226484, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00006103515625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.8189894035458565e-12 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] } ], "probe": { "radius": 4, "theta": 0.7853981633974483, "x": 2.82842712474619, "z": 2.8284271247461903, "direct": { "potential": 0.20281939740586513, "ex": 0.08172108444792504, "ez": 0.008682520829076317, "terms": [ { "role": "real", "distance": 2.9472515164158013, "potential": 0.3392991722729235, "ex": 0.11048247484539299, "ez": 0.03235956767994346 }, { "role": "image", "distance": 3.6635464887529148, "potential": -0.13647977486705837, "ex": -0.02876139039746795, "ez": -0.023677046850867144 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 0.5, "term": 0.125, "partial": 0.125, "direct": 0.20281939740586513, "error": -0.07781939740586513, "absoluteError": 0.07781939740586513, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 1.75, "term": 0.07733980419227864, "partial": 0.20233980419227865, "direct": 0.20281939740586513, "error": -0.0004795932135864822, "absoluteError": 0.0004795932135864822, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08838834764831845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011048543456039806 } ], "tailTerms": [ 0.125, 0.002232142857142857 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 3.875, "term": 0.015136718750000007, "partial": 0.21747652294227865, "direct": 0.20281939740586513, "error": 0.014657125536413518, "absoluteError": 0.014657125536413518, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015625000000000007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812500000002 } ], "tailTerms": [ 0.0625, 0.00027901785714285713 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 7.9375, "term": -0.005481113355144743, "partial": 0.2119954095871339, "direct": 0.20281939740586513, "error": 0.009176012181268761, "absoluteError": 0.009176012181268761, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005524271728019899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00004315837287515546 } ], "tailTerms": [ 0.03125, 0.00003487723214285714 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 15.96875, "term": -0.006335258483886717, "partial": 0.20566015110324717, "direct": 0.20281939740586513, "error": 0.0028407536973820424, "absoluteError": 0.0028407536973820424, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006347656249999998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012397766113281247 } ], "tailTerms": [ 0.015625, 0.000004359654017857143 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 31.984375, "term": -0.002933336362661203, "partial": 0.202726814740586, "direct": 0.20281939740586513, "error": -0.00009258266527914505, "absoluteError": 0.00009258266527914505, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0029347693555105735 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000014329928493703972 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 63.9921875, "term": -0.0005797632038593298, "partial": 0.20214705153672666, "direct": 0.20281939740586513, "error": -0.0006723458691384743, "absoluteError": 0.0006723458691384743, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843750005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.078051567077643e-8 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 127.99609375, "term": 0.000248153070770302, "partial": 0.20239520460749696, "direct": 0.20281939740586513, "error": -0.00042419279836816703, "absoluteError": 0.00042419279836816703, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002481606440321438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.573261841801263e-9 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 255.998046875, "term": 0.0002913452808570582, "partial": 0.20268654988835402, "direct": 0.20281939740586513, "error": -0.0001328475175111088, "absoluteError": 0.0001328475175111088, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002913475036621093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133036e-9 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 511.9990234375, "term": 0.0001394215089481058, "partial": 0.20282597139730213, "direct": 0.20281939740586513, "error": 0.0000065739914369977726, "absoluteError": 0.0000065739914369977726, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001394217748740375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.659259316902876e-10 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 1023.99951171875, "term": 0.000028103576610760727, "partial": 0.2028540749739129, "direct": 0.20281939740586513, "error": 0.000034677568047758456, "absoluteError": 0.000034677568047758456, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596724 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.340083599643551e-11 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2047.999755859375, "term": -0.000012717810022080973, "partial": 0.2028413571638908, "direct": 0.20281939740586513, "error": 0.000021959758025658083, "absoluteError": 0.000021959758025658083, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000012717811538162251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.5160812781050505e-12 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 4095.9998779296875, "term": -0.000015058554260177765, "partial": 0.2028262986096306, "direct": 0.20281939740586513, "error": 0.000006901203765480313, "absoluteError": 0.000006901203765480313, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957667 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910375e-13 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13 ] } ] }, "selectedOrder": 4, "quadratureStatus": { "converged": true, "estimatedError": 5.894434108743376e-11, "total": -0.4999999999999654, "exactFinite": -0.5, "infiniteOrFullCharge": -0.5, "remainingCharge": 0 }, "units": "k=1；epsilon0=1/(4pi)。平面横坐标rho/d，球面横坐标theta；长度、势、场与电荷各自标明。", "scope": "数学像只在指定物理域外辅助构造。边界采样不是唯一性证明；Simpson误差估计不是严格上界；多极绝对尾界来自完整源展开。" }, "isolated": { "version": 164, "parameters": { "geometry": "isolated", "q": "1", "a": "1", "gap": "1", "Q": "0", "farRatio": "2", "order": "4", "angle": "45" }, "model": { "geometry": "isolated", "q": 1, "a": 1, "gap": 1, "d": 2, "Q": 0, "qp": -0.5, "b": 0.5, "q0": 0.5, "sources": [ { "role": "real", "q": 1, "z": 2 }, { "role": "image", "q": -0.5, "z": 0.5 }, { "role": "central-image", "q": 0.5, "z": 0 } ], "surfacePotential": 0.5, "surfaceCharge": 0, "physicalDomain": "r>a，球面等势，远处V趋于0，球总电荷固定为Q" }, "boundary": [ { "coordinate": 0, "angle": 0, "x": 0, "z": 1, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0.5, "ex": 0, "ez": -2.5, "terms": [ { "role": "real", "distance": 1, "potential": 1, "ex": 0, "ez": -1 }, { "role": "image", "distance": 0.5, "potential": -1, "ex": 0, "ez": -2 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0, "ez": 0.5 } ], "normalField": -2.5, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -2.5, "normalResidual": 0, "density": -0.1989436788648692, "expectedDensity": -0.1989436788648692, "capCharge": 0 }, { "coordinate": 0.04908738521234052, "angle": 0.04908738521234052, "x": 0.049067674327418015, "z": 0.9987954562051724, "normal": [ 0.049067674327418015, 0.9987954562051724 ], "tangent": [ 0.9987954562051724, -0.049067674327418015 ], "potential": 0.5, "ex": -0.12161168248756347, "ez": -2.475462665695819, "terms": [ { "role": "real", "distance": 1.0024061927079813, "potential": 0.9975995831575212, "ex": 0.048715173217090825, "ez": -0.9940119120226896 }, { "role": "image", "distance": 0.5012030963539906, "potential": -0.9975995831575212, "ex": -0.1948606928683633, "ez": -1.980848481775716 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.024533837163709007, "ez": 0.4993977281025862 } ], "normalField": -2.478448064933237, "tangentialField": -2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -2.478448064933237, "normalResidual": 0, "density": -0.19722863036533375, "expectedDensity": -0.19722863036533375, "capCharge": -0.0014991766831521653 }, { "coordinate": 0.09817477042468103, "angle": 0.09817477042468103, "x": 0.0980171403295606, "z": 0.9951847266721969, "normal": [ 0.0980171403295606, 0.9951847266721969 ], "tangent": [ 0.9951847266721969, -0.0980171403295606 ], "potential": 0.5000000000000002, "ex": -0.23674726805545585, "ez": -2.4037353513679527, "terms": [ { "role": "real", "distance": 1.0095846142405362, "potential": 0.9905063784596734, "ex": 0.09525194607341213, "ez": -0.9764680943246798 }, { "role": "image", "distance": 0.5047923071202682, "potential": -0.9905063784596732, "ex": -0.3810077842936483, "ez": -1.9248596203793713 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.0490085701647803, "ez": 0.49759236333609846 } ], "normalField": -2.4153659988390452, "tangentialField": 1.3877787807814457e-16, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -2.4153659988390452, "normalResidual": 0, "density": -0.19220871904566358, "expectedDensity": -0.19220871904566358, "capCharge": -0.005916397823294178 }, { "coordinate": 0.14726215563702155, "angle": 0.14726215563702155, "x": 0.14673047445536175, "z": 0.989176509964781, "normal": [ 0.14673047445536175, 0.989176509964781 ], "tangent": [ 0.989176509964781, -0.14673047445536175 ], "potential": 0.5000000000000002, "ex": -0.33971225979356157, "ez": -2.2901540309342683, "terms": [ { "role": "real", "distance": 1.021417622787504, "potential": 0.9790314732097003, "ex": 0.13769249900708094, "ez": -0.9485610464672122 }, { "role": "image", "distance": 0.5107088113937521, "potential": -0.9790314732097001, "ex": -0.5507699960283233, "ez": -1.8361812394494468 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.07336523722768087, "ez": 0.4945882549823905 } ], "normalField": -2.315212712659147, "tangentialField": 1.6653345369377348e-16, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -2.315212712659147, "normalResidual": 0, "density": -0.1842387737644496, "expectedDensity": -0.1842387737644496, "capCharge": -0.013020522583920113 }, { "coordinate": 0.19634954084936207, "angle": 0.19634954084936207, "x": 0.19509032201612825, "z": 0.9807852804032304, "normal": [ 0.19509032201612825, 0.9807852804032304 ], "tangent": [ 0.9807852804032304, -0.19509032201612825 ], "potential": 0.5, "ex": -0.4261985133906646, "ez": -2.142644617854215, "terms": [ { "role": "real", "distance": 1.037718111235936, "potential": 0.9636528351702245, "ex": 0.17458122479957622, "ez": -0.9120685856792559 }, { "role": "image", "distance": 0.518859055617968, "potential": -0.9636528351702245, "ex": -0.6983248991983049, "ez": -1.7209686723765745 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.09754516100806412, "ez": 0.4903926402016152 } ], "normalField": -2.1846215075467987, "tangentialField": -5.551115123125783e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -2.1846215075467987, "normalResidual": 0, "density": -0.17384665585547068, "expectedDensity": -0.17384665585547068, "capCharge": -0.022456693723139246 }, { "coordinate": 0.2454369260617026, "angle": 0.2454369260617026, "x": 0.24298017990326387, "z": 0.970031253194544, "normal": [ 0.24298017990326387, 0.970031253194544 ], "tangent": [ 0.970031253194544, -0.24298017990326387 ], "potential": 0.5, "ex": -0.49359866458284996, "ez": -1.970556328384806, "terms": [ { "role": "real", "distance": 1.0582414597915846, "potential": 0.94496392174707, "ex": 0.2050295848448273, "ez": -0.8690999596952436 }, { "role": "image", "distance": 0.5291207298957923, "potential": -0.94496392174707, "ex": -0.8201183393793092, "ez": -1.5864719952868345 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.12149008995163194, "ez": 0.485015626597272 } ], "normalField": -2.0314359170339045, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -2.0314359170339045, "normalResidual": 0, "density": -0.16165653388518164, "expectedDensity": -0.16165653388518164, "capCharge": -0.033784871988333576 }, { "coordinate": 0.2945243112740431, "angle": 0.2945243112740431, "x": 0.29028467725446233, "z": 0.9569403357322088, "normal": [ 0.29028467725446233, 0.9569403357322088 ], "tangent": [ 0.9569403357322088, -0.29028467725446233 ], "potential": 0.5, "ex": -0.5410112012518323, "ez": -1.7834749166143093, "terms": [ { "role": "real", "distance": 1.0826997077080813, "potential": 0.9236171330616274, "ex": 0.2287178466263544, "ez": -0.8218358701207336 }, { "role": "image", "distance": 0.5413498538540406, "potential": -0.9236171330616275, "ex": -0.914871386505418, "ez": -1.4401092143596803 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.14514233862723122, "ez": 0.4784701678661046 } ], "normalField": -1.8637263474213075, "tangentialField": -1.1102230246251565e-16, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -1.863726347421308, "normalResidual": 4.440892098500626e-16, "density": -0.1483106303813521, "expectedDensity": -0.14831063038135212, "capCharge": -0.04652223413683165 }, { "coordinate": 0.3436116964863836, "angle": 0.3436116964863836, "x": 0.33688985339222005, "z": 0.9415440651830208, "normal": [ 0.33688985339222005, 0.9415440651830208 ], "tangent": [ 0.9415440651830208, -0.33688985339222005 ], "potential": 0.4999999999999999, "ex": -0.5689998478855952, "ez": -1.5902480424157999, "terms": [ { "role": "real", "distance": 1.1107761877479716, "potential": 0.9002713697233974, "ex": 0.24581492486056836, "ez": -0.772312562890821 }, { "role": "image", "distance": 0.5553880938739858, "potential": -0.9002713697233974, "ex": -0.9832596994422734, "ez": -1.288707512116489 }, { "role": "central-image", "distance": 1.0000000000000002, "potential": 0.4999999999999999, "ex": 0.16844492669610991, "ez": 0.47077203259151007 } ], "normalField": -1.6889788818398868, "tangentialField": -1.1102230246251565e-16, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -1.6889788818398874, "normalResidual": 6.661338147750939e-16, "density": -0.1344046689113201, "expectedDensity": -0.13440466891132016, "capCharge": -0.060182489003207114 }, { "coordinate": 0.39269908169872414, "angle": 0.39269908169872414, "x": 0.3826834323650898, "z": 0.9238795325112867, "normal": [ 0.3826834323650898, 0.9238795325112867 ], "tangent": [ 0.9238795325112867, -0.3826834323650898 ], "potential": 0.4999999999999999, "ex": -0.5792136407087566, "ez": -1.3983454269105762, "terms": [ { "role": "real", "distance": 1.142139164005356, "potential": 0.8755500481159497, "ex": 0.2568517856304336, "ez": -0.7222770578796235 }, { "role": "image", "distance": 0.5710695820026779, "potential": -0.8755500481159498, "ex": -1.027407142521735, "ez": -1.138008135286596 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.1913417161825449, "ez": 0.46193976625564337 } ], "normalField": -1.5135581834025456, "tangentialField": -4.440892098500626e-16, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -1.5135581834025458, "normalResidual": 2.220446049250313e-16, "density": -0.12044513327285232, "expectedDensity": -0.12044513327285233, "capCharge": -0.07430734704085928 }, { "coordinate": 0.44178646691106466, "angle": 0.44178646691106466, "x": 0.4275550934302821, "z": 0.9039892931234433, "normal": [ 0.4275550934302821, 0.9039892931234433 ], "tangent": [ 0.9039892931234433, -0.4275550934302821 ], "potential": 0.5000000000000002, "ex": -0.573973602971564, "ez": -1.2135652214055253, "terms": [ { "role": "real", "distance": 1.1764534956836272, "potential": 0.8500123495480019, "ex": 0.2625837165622352, "ez": -0.6731169134126503 }, { "role": "image", "distance": 0.5882267478418137, "potential": -0.8500123495480016, "ex": -1.0503348662489402, "ez": -0.9924429545545966 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.21377754671514104, "ez": 0.45199464656172167 } ], "normalField": -1.3424553041025984, "tangentialField": 2.220446049250313e-16, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -1.3424553041025982, "normalResidual": -2.220446049250313e-16, "density": -0.10682919876393106, "expectedDensity": -0.10682919876393103, "capCharge": -0.08848806111985955 }, { "coordinate": 0.4908738521234052, "angle": 0.4908738521234052, "x": 0.47139673682599764, "z": 0.881921264348355, "normal": [ 0.47139673682599764, 0.881921264348355 ], "tangent": [ 0.881921264348355, -0.47139673682599764 ], "potential": 0.4999999999999999, "ex": -0.5559033838898395, "ez": -1.0400220809263312, "terms": [ { "role": "real", "distance": 1.2133898559847038, "potential": 0.8241374320609173, "ex": 0.26386725076761264, "ez": -0.6258515154444685 }, { "role": "image", "distance": 0.6066949279923518, "potential": -0.8241374320609174, "ex": -1.055469003070451, "ez": -0.8551311976560402 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.23569836841299882, "ez": 0.4409606321741775 } ], "normalField": -1.1792686297169575, "tangentialField": -5.551115123125783e-17, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -1.1792686297169577, "normalResidual": 2.220446049250313e-16, "density": -0.09384321582632989, "expectedDensity": -0.0938432158263299, "capCharge": -0.10237724204140072 }, { "coordinate": 0.5399612373357456, "angle": 0.5399612373357456, "x": 0.5141027441932217, "z": 0.8577286100002721, "normal": [ 0.5141027441932217, 0.8577286100002721 ], "tangent": [ 0.8577286100002721, -0.5141027441932217 ], "potential": 0.5, "ex": -0.5276442655504348, "ez": -0.8803212734750387, "terms": [ { "role": "real", "distance": 1.252631454179126, "potential": 0.7983194072476167, "ex": 0.2615652125490152, "ez": -0.5811648785940817 }, { "role": "image", "distance": 0.626315727089563, "potential": -0.7983194072476167, "ex": -1.0462608501960609, "ez": -0.7280206998810931 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.25705137209661083, "ez": 0.42886430500013606 } ], "normalField": -1.02634010712871, "tangentialField": 1.1102230246251565e-16, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -1.0263401071287097, "normalResidual": -2.220446049250313e-16, "density": -0.0816735506714998, "expectedDensity": -0.08167355067149978, "capCharge": -0.11569259706435547 }, { "coordinate": 0.5890486225480862, "angle": 0.5890486225480862, "x": 0.5555702330196022, "z": 0.8314696123025452, "normal": [ 0.5555702330196022, 0.8314696123025452 ], "tangent": [ 0.8314696123025452, -0.5555702330196022 ], "potential": 0.4999999999999999, "ex": -0.49166371184909985, "ez": -0.7358267444468671, "terms": [ { "role": "real", "distance": 1.2938784915090826, "potential": 0.7728701006797595, "ex": 0.2564829427863002, "ez": -0.5394603503915316 }, { "role": "image", "distance": 0.6469392457545412, "potential": -0.7728701006797596, "ex": -1.0259317711452012, "ez": -0.6121012002066081 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.2777851165098011, "ez": 0.4157348061512726 } ], "normalField": -0.8849713008863677, "tangentialField": -1.6653345369377348e-16, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.8849713008863678, "normalResidual": 1.1102230246251565e-16, "density": -0.07042377851526521, "expectedDensity": -0.07042377851526523, "capCharge": -0.1282148275658167 }, { "coordinate": 0.6381360077604268, "angle": 0.6381360077604268, "x": 0.5956993044924334, "z": 0.8032075314806449, "normal": [ 0.5956993044924334, 0.8032075314806449 ], "tangent": [ 0.8032075314806449, -0.5956993044924334 ], "potential": 0.5000000000000001, "ex": -0.45014689853392326, "ez": -0.60695283081314, "terms": [ { "role": "real", "distance": 1.336850729916179, "potential": 0.7480266701598767, "ex": 0.24933218359338008, "ez": -0.5009219873746432 }, { "role": "image", "distance": 0.6684253649580896, "potential": -0.7480266701598766, "ex": -0.99732873437352, "ez": -0.5076346091788192 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.2978496522462167, "ez": 0.40160376574032247 } ], "normalField": -0.7556612793386958, "tangentialField": 2.220446049250313e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.7556612793386954, "normalResidual": -3.3306690738754696e-16, "density": -0.060133613954949476, "expectedDensity": -0.06013361395494945, "capCharge": -0.13978188025025365 }, { "coordinate": 0.6872233929727672, "angle": 0.6872233929727672, "x": 0.6343932841636455, "z": 0.773010453362737, "normal": [ 0.6343932841636455, 0.773010453362737 ], "tangent": [ 0.773010453362737, -0.6343932841636455 ], "potential": 0.5, "ex": -0.4049519224974135, "ez": -0.49343534525672744, "terms": [ { "role": "real", "distance": 1.381288596401582, "potential": 0.7239616707219018, "ex": 0.24071618819307877, "ez": -0.46557278267637986 }, { "role": "image", "distance": 0.690644298200791, "potential": -0.7239616707219018, "ex": -0.9628647527723151, "ez": -0.4143677892617161 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.31719664208182274, "ez": 0.3865052266813685 } ], "normalField": -0.6383294599836178, "tangentialField": 5.551115123125783e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.6383294599836182, "normalResidual": 4.440892098500626e-16, "density": -0.05079664443878649, "expectedDensity": -0.05079664443878652, "capCharge": -0.15028136029925787 }, { "coordinate": 0.7363107781851077, "angle": 0.7363107781851077, "x": 0.6715589548470183, "z": 0.7409511253549592, "normal": [ 0.6715589548470183, 0.7409511253549592 ], "tangent": [ 0.7409511253549592, -0.6715589548470183 ], "potential": 0.5000000000000001, "ex": -0.357608312457566, "ez": -0.39455997070589593, "terms": [ { "role": "real", "distance": 1.4269532222817127, "potential": 0.7007938202774369, "ex": 0.23112926329369185, "ez": -0.4333246347876499 }, { "role": "image", "distance": 0.7134766111408565, "potential": -0.7007938202774368, "ex": -0.9245170531747671, "ez": -0.33171089859572567 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.33577947742350917, "ez": 0.3704755626774796 } ], "normalField": -0.5325047188731623, "tangentialField": 2.220446049250313e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.5325047188731626, "normalResidual": 3.3306690738754696e-16, "density": -0.042375379114211936, "expectedDensity": -0.042375379114211964, "capCharge": -0.1596424161306622 }, { "coordinate": 0.7853981633974483, "angle": 0.7853981633974483, "x": 0.7071067811865475, "z": 0.7071067811865476, "normal": [ 0.7071067811865475, 0.7071067811865476 ], "tangent": [ 0.7071067811865476, -0.7071067811865475 ], "potential": 0.5, "ex": -0.30934145847908423, "ez": -0.30934145847908434, "terms": [ { "role": "real", "distance": 1.4736257582079006, "potential": 0.678598344545847, "ex": 0.22096494969078598, "ez": -0.40401830763281044 }, { "role": "image", "distance": 0.7368128791039503, "potential": -0.678598344545847, "ex": -0.8838597987631439, "ez": -0.2588765414395477 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.35355339059327373, "ez": 0.3535533905932738 } ], "normalField": -0.43747488598539463, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.43747488598539463, "normalResidual": 0, "density": -0.034813145291569446, "expectedDensity": -0.034813145291569446, "capCharge": -0.16782793688725156 }, { "coordinate": 0.8344855486097889, "angle": 0.8344855486097889, "x": 0.7409511253549591, "z": 0.6715589548470183, "normal": [ 0.7409511253549591, 0.6715589548470183 ], "tangent": [ 0.6715589548470183, -0.7409511253549591 ], "potential": 0.5000000000000002, "ex": -0.2611099745594044, "ez": -0.2366562862445778, "terms": [ { "role": "real", "distance": 1.521106235807324, "potential": 0.6574162780085193, "ex": 0.21052851241229478, "ez": -0.3774536639370252 }, { "role": "image", "distance": 0.7605531179036621, "potential": -0.6574162780085192, "ex": -0.8421140496491788, "ez": -0.19498209973106193 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.37047556267747966, "ez": 0.3357794774235093 } ], "normalField": -0.3523983777395809, "tangentialField": 1.1102230246251565e-16, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": -0.3523983777395815, "normalResidual": 6.106226635438361e-16, "density": -0.028042971877409617, "expectedDensity": -0.028042971877409666, "capCharge": -0.17482753020536512 }, { "coordinate": 0.8835729338221293, "angle": 0.8835729338221293, "x": 0.7730104533627369, "z": 0.6343932841636455, "normal": [ 0.7730104533627369, 0.6343932841636455 ], "tangent": [ 0.6343932841636455, -0.7730104533627369 ], "potential": 0.5, "ex": -0.21364726161347208, "ez": -0.17533577632479852, "terms": [ { "role": "real", "distance": 1.5692121791986635, "potential": 0.637262451347186, "ex": 0.20005082943161348, "ez": -0.35341146422019865 }, { "role": "image", "distance": 0.7846060895993316, "potential": -0.6372624513471861, "ex": -0.8002033177264543, "ez": -0.13912095418642284 }, { "role": "central-image", "distance": 0.9999999999999998, "potential": 0.5000000000000001, "ex": 0.3865052266813687, "ez": 0.31719664208182297 } ], "normalField": -0.27638340553360863, "tangentialField": -1.6653345369377348e-16, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.27638340553360896, "normalResidual": 3.3306690738754696e-16, "density": -0.021993892589622855, "expectedDensity": -0.021993892589622883, "capCharge": -0.18065148253052188 }, { "coordinate": 0.9326603190344698, "angle": 0.9326603190344698, "x": 0.8032075314806448, "z": 0.5956993044924335, "normal": [ 0.8032075314806448, 0.5956993044924335 ], "tangent": [ 0.5956993044924335, -0.8032075314806448 ], "potential": 0.5, "ex": -0.16750197554427138, "ez": -0.12422793166405399, "terms": [ { "role": "real", "distance": 1.617777111356897, "potential": 0.6181321227627323, "ex": 0.18970191376153125, "ez": -0.3316683658871471 }, { "role": "image", "distance": 0.8088885556784485, "potential": -0.6181321227627323, "ex": -0.758807655046125, "ez": -0.0904092180231236 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4016037657403224, "ez": 0.29784965224621673 } ], "normalField": -0.20854134078585607, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.20854134078585596, "normalResidual": -1.1102230246251565e-16, "density": -0.01659519261254024, "expectedDensity": -0.01659519261254023, "capCharge": -0.18532573405105912 }, { "coordinate": 0.9817477042468103, "angle": 0.9817477042468103, "x": 0.8314696123025452, "z": 0.5555702330196023, "normal": [ 0.8314696123025452, 0.5555702330196023 ], "tangent": [ 0.5555702330196023, -0.8314696123025452 ], "potential": 0.4999999999999999, "ex": -0.12307458457831172, "ez": -0.08223580828601945, "terms": [ { "role": "real", "distance": 1.666649053616745, "potential": 0.6000063407649799, "ex": 0.17960313024319452, "ez": -0.31200672126515594 }, { "role": "image", "distance": 0.8333245268083723, "potential": -0.60000634076498, "ex": -0.7184125209727789, "ez": -0.04801420353066465 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4157348061512726, "ez": 0.27778511650980114 } ], "normalField": -0.14802054429564482, "tangentialField": -3.608224830031759e-16, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": -0.1480205442956446, "normalResidual": -2.220446049250313e-16, "density": -0.011779100651902363, "expectedDensity": -0.011779100651902345, "capCharge": -0.1888878026811655 }, { "coordinate": 1.030835089459151, "angle": 1.030835089459151, "x": 0.8577286100002721, "z": 0.5141027441932217, "normal": [ 0.8577286100002721, 0.5141027441932217 ], "tangent": [ 0.5141027441932217, -0.8577286100002721 ], "potential": 0.5, "ex": -0.08064883545314816, "ez": -0.048339051698925994, "terms": [ { "role": "real", "distance": 1.715689081164508, "potential": 0.5828561893750931, "ex": 0.16983771348442808, "ez": -0.29422056050914464 }, { "role": "image", "distance": 0.857844540582254, "potential": -0.5828561893750931, "ex": -0.6793508539377123, "ez": -0.011169863286392195 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.42886430500013606, "ez": 0.25705137209661083 } ], "normalField": -0.09402605266148531, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.09402605266148545, "normalResidual": 1.3877787807814457e-16, "density": -0.007482355530247124, "expectedDensity": -0.007482355530247136, "capCharge": -0.19138354401698554 }, { "coordinate": 1.0799224746714913, "angle": 1.0799224746714913, "x": 0.8819212643483549, "z": 0.4713967368259978, "normal": [ 0.8819212643483549, 0.4713967368259978 ], "tangent": [ 0.4713967368259978, -0.8819212643483549 ], "potential": 0.5000000000000001, "ex": -0.04041793797238458, "ez": -0.021603837938408144, "terms": [ { "role": "real", "distance": 1.7647699716099001, "potential": 0.5666460876415278, "ex": 0.16045952338218747, "ez": -0.2781188763268926 }, { "role": "image", "distance": 0.8823849858049503, "potential": -0.5666460876415277, "ex": -0.6418380935287495, "ez": 0.02081666997548555 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.44096063217417747, "ez": 0.2356983684129989 } ], "normalField": -0.04582941766604208, "tangentialField": 1.9081958235744878e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": -0.045829417666042205, "normalResidual": 1.249000902703301e-16, "density": -0.003646989180286815, "expectedDensity": -0.003646989180286825, "capCharge": -0.19286461847535372 }, { "coordinate": 1.1290098598838318, "angle": 1.1290098598838318, "x": 0.9039892931234433, "z": 0.4275550934302822, "normal": [ 0.9039892931234433, 0.4275550934302822 ], "tangent": [ 0.4275550934302822, -0.9039892931234433 ], "potential": 0.5, "ex": -0.0025058179478862352, "ez": -0.0011851636241465013, "terms": [ { "role": "real", "distance": 1.8137749657217324, "potential": 0.5513363117800464, "ex": 0.15150015483653598, "ez": -0.2635270667798761 }, { "role": "image", "distance": 0.9068874828608662, "potential": -0.5513363117800464, "ex": -0.6060006193461439, "ez": 0.04856435644058848 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.45199464656172167, "ez": 0.2137775467151411 } ], "normalField": -0.002771955339457844, "tangentialField": 3.664603343001005e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": -0.0027719553394579544, "normalResidual": 1.1015494072452725e-16, "density": -0.0002205851971523443, "expectedDensity": -0.00022058519715235307, "capCharge": -0.19338653952253568 }, { "coordinate": 1.1780972450961724, "angle": 1.1780972450961724, "x": 0.9238795325112867, "z": 0.38268343236508984, "normal": [ 0.9238795325112867, 0.38268343236508984 ], "tangent": [ 0.38268343236508984, -0.9238795325112867 ], "potential": 0.5, "ex": 0.0330159612439197, "ez": 0.013675658922016026, "terms": [ { "role": "real", "distance": 1.8625966473017288, "potential": 0.536884892093337, "ex": 0.14297460167057455, "ez": -0.2502871682894406 }, { "role": "image", "distance": 0.9312983236508644, "potential": -0.536884892093337, "ex": -0.5718984066822982, "ez": 0.0726211110289117 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.46193976625564337, "ez": 0.19134171618254492 } ], "normalField": 0.03573621893557465, "tangentialField": -1.734723475976807e-18, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.035736218935574715, "normalResidual": -6.245004513516506e-17, "density": 0.002843797945505448, "expectedDensity": 0.0028437979455054533, "capCharge": -0.19300718902126968 }, { "coordinate": 1.227184630308513, "angle": 1.227184630308513, "x": 0.9415440651830208, "z": 0.33688985339222005, "normal": [ 0.9415440651830208, 0.33688985339222005 ], "tangent": [ 0.33688985339222005, -0.9415440651830208 ], "potential": 0.4999999999999999, "ex": 0.0661149325589086, "ez": 0.02365630113390138, "terms": [ { "role": "real", "distance": 1.9111359413791371, "potential": 0.523249015597691, "ex": 0.13488570001086717, "ez": -0.23825733135151808 }, { "role": "image", "distance": 0.9555679706895686, "potential": -0.523249015597691, "ex": -0.5395428000434687, "ez": 0.09346870578930956 }, { "role": "central-image", "distance": 1.0000000000000002, "potential": 0.4999999999999999, "ex": 0.47077203259151007, "ez": 0.16844492669610991 } ], "normalField": 0.0702196901916183, "tangentialField": 2.42861286636753e-17, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": 0.0702196901916185, "normalResidual": -1.942890293094024e-16, "density": 0.0055879053981887665, "expectedDensity": 0.005587905398188782, "capCharge": -0.1917857016497867 }, { "coordinate": 1.2762720155208536, "angle": 1.2762720155208536, "x": 0.9569403357322089, "z": 0.29028467725446233, "normal": [ 0.9569403357322089, 0.29028467725446233 ], "tangent": [ 0.29028467725446233, -0.9569403357322089 ], "potential": 0.5, "ex": 0.09678745940277239, "ez": 0.02936015482461128, "terms": [ { "role": "real", "distance": 1.9593012251775253, "potential": 0.5103860433249071, "ex": 0.12722756948777736, "ez": -0.2273108540904868 }, { "role": "image", "distance": 0.9796506125887626, "potential": -0.5103860433249071, "ex": -0.5089102779511094, "ez": 0.11152867028786691 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.47847016786610447, "ez": 0.14514233862723117 } ], "normalField": 0.10114262696295988, "tangentialField": 3.469446951953614e-18, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.10114262696295978, "normalResidual": 9.71445146547012e-17, "density": 0.008048674519227339, "expectedDensity": 0.008048674519227332, "capCharge": -0.18978163681993523 }, { "coordinate": 1.325359400733194, "angle": 1.325359400733194, "x": 0.970031253194544, "z": 0.24298017990326398, "normal": [ 0.970031253194544, 0.24298017990326398 ], "tangent": [ 0.24298017990326398, -0.970031253194544 ], "potential": 0.5000000000000001, "ex": 0.12505088236726547, "ez": 0.031323615393416715, "terms": [ { "role": "real", "distance": 2.0070075436796304, "potential": 0.49825423085685494, "ex": 0.11998824807666893, "ez": -0.21733498725438505 }, { "role": "image", "distance": 1.0035037718398154, "potential": -0.49825423085685483, "ex": -0.47995299230667543, "ez": 0.12716851269616977 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.485015626597272, "ez": 0.12149008995163199 } ], "normalField": 0.12891428183931508, "tangentialField": 1.4224732503009818e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.1289142818393148, "normalResidual": 2.7755575615628914e-16, "density": 0.010258672594934374, "expectedDensity": 0.010258672594934352, "capCharge": -0.1870543718331749 }, { "coordinate": 1.3744467859455345, "angle": 1.3744467859455345, "x": 0.9807852804032304, "z": 0.19509032201612833, "normal": [ 0.9807852804032304, 0.19509032201612833 ], "tangent": [ 0.19509032201612833, -0.9807852804032304 ], "potential": 0.5000000000000001, "ex": 0.15093757604571406, "ez": 0.030023350577800048, "terms": [ { "role": "real", "distance": 2.0541759203961782, "potential": 0.48681322279697214, "ex": 0.11315168805196714, "ez": -0.20822965120484166 }, { "role": "image", "distance": 1.0270879601980893, "potential": -0.48681322279697203, "ex": -0.4526067522078683, "ez": 0.14070784077457754 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4903926402016152, "ez": 0.09754516100806417 } ], "normalField": 0.1538946179776057, "tangentialField": 1.0408340855860843e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.1538946179776054, "normalResidual": 3.0531133177191805e-16, "density": 0.012246544583187404, "expectedDensity": 0.01224654458318738, "capCharge": -0.18366266340630308 }, { "coordinate": 1.423534171157875, "angle": 1.423534171157875, "x": 0.989176509964781, "z": 0.14673047445536175, "normal": [ 0.989176509964781, 0.14673047445536175 ], "tangent": [ 0.14673047445536175, -0.989176509964781 ], "potential": 0.5000000000000001, "ex": 0.1744904994976198, "ez": 0.025883220559038828, "terms": [ { "role": "real", "distance": 2.1007327536311116, "potential": 0.4760243768615986, "ex": 0.10669925182825697, "ez": -0.19990615407836784 }, { "role": "image", "distance": 1.050366376815556, "potential": -0.4760243768615985, "ex": -0.42679700731302767, "ez": 0.1524241374097258 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4945882549823905, "ez": 0.07336523722768087 } ], "normalField": 0.17639976054812745, "tangentialField": 1.1796119636642288e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.17639976054812728, "normalResidual": 1.6653345369377348e-16, "density": 0.014037446925730595, "expectedDensity": 0.014037446925730581, "capCharge": -0.17966433596764156 }, { "coordinate": 1.4726215563702154, "angle": 1.4726215563702154, "x": 0.9951847266721968, "z": 0.09801714032956077, "normal": [ 0.9951847266721968, 0.09801714032956077 ], "tangent": [ 0.09801714032956077, -0.9951847266721968 ], "potential": 0.5000000000000001, "ex": 0.19575990287343226, "ez": 0.019280667555066536, "terms": [ { "role": "real", "distance": 2.1466092887812063, "potential": 0.4658509609672733, "ex": 0.1006108201542221, "ez": -0.1922859649088521 }, { "role": "image", "distance": 1.0733046443906031, "potential": -0.4658509609672733, "ex": -0.4024432806168884, "ez": 0.16255806229913825 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.4975923633360986, "ez": 0.0490085701647804 } ], "normalField": 0.19670710133186503, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.19670710133186492, "normalResidual": 1.1102230246251565e-16, "density": 0.015653453759122336, "expectedDensity": 0.015653453759122325, "capCharge": -0.17511606435693536 }, { "coordinate": 1.521708941582556, "angle": 1.521708941582556, "x": 0.9987954562051724, "z": 0.049067674327418126, "normal": [ 0.9987954562051724, 0.049067674327418126 ], "tangent": [ 0.049067674327418126, -0.9987954562051724 ], "potential": 0.4999999999999999, "ex": 0.21480092110246152, "ez": 0.010552492581343928, "terms": [ { "role": "real", "distance": 2.191741157776239, "potential": 0.4562582567982659, "ex": 0.09486560233337483, "ez": -0.18529957163577937 }, { "role": "image", "distance": 1.0958705788881193, "potential": -0.45625825679826604, "ex": -0.3794624093334995, "ez": 0.17131822705341423 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4993977281025862, "ez": 0.024533837163709063 } ], "normalField": 0.2150599702551482, "tangentialField": -8.847089727481716e-17, "expectedPotential": 0.5, "potentialResidual": -1.1102230246251565e-16, "expectedNormal": 0.21505997025514834, "normalResidual": -1.3877787807814457e-16, "density": 0.01711392866365141, "expectedDensity": 0.01711392866365142, "capCharge": -0.1700732259831549 }, { "coordinate": 1.5707963267948966, "angle": 1.5707963267948966, "x": 1, "z": 6.123233995736766e-17, "normal": [ 1, 6.123233995736766e-17 ], "tangent": [ 6.123233995736766e-17, -1 ], "potential": 0.5, "ex": 0.23167184270002528, "ez": 2.8605943630549167e-18, "terms": [ { "role": "real", "distance": 2.23606797749979, "potential": 0.4472135954999579, "ex": 0.08944271909999157, "ez": -0.17888543819998315 }, { "role": "image", "distance": 1.118033988749895, "potential": -0.4472135954999579, "ex": -0.3577708763999663, "ez": 0.17888543819998312 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.5, "ez": 3.061616997868383e-17 } ], "normalField": 0.23167184270002528, "tangentialField": 1.1325214667702835e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.2316718427000251, "normalResidual": 1.6653345369377348e-16, "density": 0.018435859470458525, "expectedDensity": 0.01843585947045851, "capCharge": -0.1645898033750316 }, { "coordinate": 1.6198837120072371, "angle": 1.6198837120072371, "x": 0.9987954562051724, "z": -0.04906767432741801, "normal": [ 0.9987954562051724, -0.04906767432741801 ], "tangent": [ -0.04906767432741801, -0.9987954562051724 ], "potential": 0.5000000000000001, "ex": 0.24643288835052518, "ez": -0.012106471484252267, "terms": [ { "role": "real", "distance": 2.279532999829059, "potential": 0.4386863449991684, "ex": 0.08432161325068709, "ez": -0.17298906486377608 }, { "role": "image", "distance": 1.1397664999145298, "potential": -0.4386863449991683, "ex": -0.3372864530027481, "ez": 0.1854164305432328 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4993977281025862, "ez": -0.024533837163709004 } ], "normalField": 0.2467300855440646, "tangentialField": 1.196959198423997e-16, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.2467300855440645, "normalResidual": 8.326672684688674e-17, "density": 0.019634156361912035, "expectedDensity": 0.019634156361912028, "capCharge": -0.15871832266876923 }, { "coordinate": 1.6689710972195777, "angle": 1.6689710972195777, "x": 0.9951847266721969, "z": -0.09801714032956065, "normal": [ 0.9951847266721969, -0.09801714032956065 ], "tangent": [ -0.09801714032956065, -0.9951847266721969 ], "potential": 0.5000000000000002, "ex": 0.2591453712597014, "ez": -0.025523591288881507, "terms": [ { "role": "real", "distance": 2.322082806731543, "potential": 0.43064786367698665, "ex": 0.07948233069213251, "ez": -0.16756214969561492 }, { "role": "image", "distance": 1.1610414033657719, "potential": -0.4306478636769865, "ex": -0.3179293227685296, "ez": 0.19104712857151374 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.49759236333609846, "ez": -0.04900857016478032 } ], "normalField": 0.2603992648945276, "tangentialField": 1.6653345369377348e-16, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": 0.26039926489452725, "normalResidual": 3.3306690738754696e-16, "density": 0.02072191509272996, "expectedDensity": 0.020721915092729932, "capCharge": -0.15250981715986994 }, { "coordinate": 1.718058482431918, "angle": 1.718058482431918, "x": 0.989176509964781, "z": -0.14673047445536164, "normal": [ 0.989176509964781, -0.14673047445536164 ], "tangent": [ -0.14673047445536164, -0.989176509964781 ], "potential": 0.5, "ex": 0.2698711408011794, "ez": -0.0400316021788433, "terms": [ { "role": "real", "distance": 2.3636670446197465, "potential": 0.4230714314337256, "ex": 0.07490570472707037, "ez": -0.16256184556372275 }, { "role": "image", "distance": 1.1818335223098733, "potential": -0.4230714314337256, "ex": -0.29962281890828146, "ez": 0.19589548061256026 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4945882549823905, "ez": -0.07336523722768082 } ], "normalField": 0.2728240491788346, "tangentialField": -2.0816681711721685e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.2728240491788346, "normalResidual": 0, "density": 0.02171064801057894, "expectedDensity": 0.02171064801057894, "capCharge": -0.14601380781086537 }, { "coordinate": 1.7671458676442586, "angle": 1.7671458676442586, "x": 0.9807852804032304, "z": -0.1950903220161282, "normal": [ 0.9807852804032304, -0.1950903220161282 ], "tangent": [ -0.1950903220161282, -0.9807852804032304 ], "potential": 0.5, "ex": 0.2786722341164245, "ez": -0.05543135381107625, "terms": [ { "role": "real", "distance": 2.404238192872019, "potential": 0.4159321663572089, "ex": 0.07057346869506358, "ez": -0.157950105103486 }, { "role": "image", "distance": 1.2021190964360096, "potential": -0.4159321663572089, "ex": -0.2822938747802543, "ez": 0.20006391230047385 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4903926402016152, "ez": -0.0975451610080641 } ], "normalField": 0.2841317459432649, "tangentialField": -2.0816681711721685e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.28413174594326485, "normalResidual": 5.551115123125783e-17, "density": 0.022610485928100596, "expectedDensity": 0.022610485928100593, "capCharge": -0.13927829472806125 }, { "coordinate": 1.8162332528565992, "angle": 1.8162332528565992, "x": 0.970031253194544, "z": -0.24298017990326387, "normal": [ 0.970031253194544, -0.24298017990326387 ], "tangent": [ -0.24298017990326387, -0.970031253194544 ], "potential": 0.49999999999999994, "ex": 0.28561067831562625, "ez": -0.07154175060945797, "terms": [ { "role": "real", "distance": 2.443751362068788, "potential": 0.40920693304634626, "ex": 0.06646831609388186, "ez": -0.1536931053501037 }, { "role": "image", "distance": 1.2218756810343938, "potential": -0.4092069330463463, "ex": -0.2658732643755276, "ez": 0.20364144469227766 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.485015626597272, "ez": -0.12149008995163194 } ], "normalField": 0.29443451164593126, "tangentialField": -4.163336342344337e-17, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.29443451164593126, "normalResidual": 0, "density": 0.023430353972649094, "expectedDensity": 0.023430353972649094, "capCharge": -0.13234975523942433 }, { "coordinate": 1.8653206380689396, "angle": 1.8653206380689396, "x": 0.9569403357322089, "z": -0.29028467725446216, "normal": [ 0.9569403357322089, -0.29028467725446216 ], "tangent": [ -0.29028467725446216, -0.9569403357322089 ], "potential": 0.5, "ex": 0.2907483998336342, "ez": -0.08819756285367444, "terms": [ { "role": "real", "distance": 2.4821641180667022, "potential": 0.40287424700139324, "ex": 0.0625739226774901, "ez": -0.14976074364584593 }, { "role": "image", "distance": 1.2410820590333511, "potential": -0.40287424700139324, "ex": -0.2502956907099604, "ez": 0.20670551941940257 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.47847016786610447, "ez": -0.14514233862723108 } ], "normalField": 0.30383127241800945, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.30383127241800933, "normalResidual": 1.1102230246251565e-16, "density": 0.02417812443561322, "expectedDensity": 0.024178124435613214, "capCharge": -0.12527314543533957 }, { "coordinate": 1.9144080232812801, "angle": 1.9144080232812801, "x": 0.9415440651830208, "z": -0.33688985339221994, "normal": [ 0.9415440651830208, -0.33688985339221994 ], "tangent": [ -0.33688985339221994, -0.9415440651830208 ], "potential": 0.5, "ex": 0.29414720819633133, "ez": -0.10524755400134178, "terms": [ { "role": "real", "distance": 2.5194363285403503, "potential": 0.39691417825167097, "ex": 0.058874941465059685, "ez": -0.14612619676171473 }, { "role": "image", "distance": 1.2597181642701751, "potential": -0.39691417825167097, "ex": -0.23549976586023874, "ez": 0.20932356945648292 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4707720325915104, "ez": -0.16844492669610997 } ], "normalField": 0.3124093912048119, "tangentialField": -1.3877787807814457e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.312409391204812, "normalResidual": -5.551115123125783e-17, "density": 0.024860749439287757, "expectedDensity": 0.02486074943928776, "capCharge": -0.11809190296319177 }, { "coordinate": 1.9634954084936207, "angle": 1.9634954084936207, "x": 0.9238795325112867, "z": -0.3826834323650897, "normal": [ 0.9238795325112867, -0.3826834323650897 ], "tangent": [ -0.3826834323650897, -0.9238795325112867 ], "potential": 0.5, "ex": 0.29586882965626804, "ez": -0.12255288192708122, "terms": [ { "role": "real", "distance": 2.5555300290664476, "potential": 0.391308256457979, "ex": 0.055356978866458434, "ez": -0.14276553573209888 }, { "role": "image", "distance": 1.2777650145332238, "potential": -0.391308256457979, "ex": -0.22142791546583374, "ez": 0.21155436998756252 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.46193976625564337, "ez": -0.19134171618254486 } ], "normalField": 0.32024611352958343, "tangentialField": 1.3877787807814457e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3202461135295835, "normalResidual": -5.551115123125783e-17, "density": 0.025484375987100752, "expectedDensity": 0.02548437598710076, "capCharge": -0.11084794956524335 }, { "coordinate": 2.012582793705961, "angle": 2.012582793705961, "x": 0.9039892931234434, "z": -0.42755509343028186, "normal": [ 0.9039892931234434, -0.42755509343028186 ], "tangent": [ -0.42755509343028186, -0.9039892931234434 ], "potential": 0.49999999999999994, "ex": 0.29597497242452375, "ez": -0.1399857365022043, "terms": [ { "role": "real", "distance": 2.590409306214199, "potential": 0.3860393790282773, "ex": 0.05200655804573261, "ez": -0.1396573895687236 }, { "role": "image", "distance": 1.2952046531070993, "potential": -0.38603937902827734, "ex": -0.20802623218293056, "ez": 0.21344919978166021 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4519946465617217, "ez": -0.21377754671514093 } ], "normalField": 0.32740982075338265, "tangentialField": -8.326672684688674e-17, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.3274098207533829, "normalResidual": -2.220446049250313e-16, "density": 0.026054445694866136, "expectedDensity": 0.026054445694866153, "capCharge": -0.1035816923712215 }, { "coordinate": 2.061670178918302, "angle": 2.061670178918302, "x": 0.881921264348355, "z": -0.4713967368259977, "normal": [ 0.881921264348355, -0.4713967368259977 ], "tangent": [ -0.4713967368259977, -0.881921264348355 ], "potential": 0.49999999999999994, "ex": 0.29452741000126814, "ez": -0.1574281804884224, "terms": [ { "role": "real", "distance": 2.6240401954436585, "potential": 0.3810917232656664, "ex": 0.04881107405763643, "ez": -0.13678265172135126 }, { "role": "image", "distance": 1.312020097721829, "potential": -0.3810917232656665, "ex": -0.19524429623054582, "ez": 0.21505283964592772 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4409606321741775, "ez": -0.23569836841299885 } ], "normalField": 0.33396111638026127, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.33396111638026127, "normalResidual": 0, "density": 0.02657578123620316, "expectedDensity": 0.02657578123620316, "capCharge": -0.09633202334425062 }, { "coordinate": 2.110757564130642, "angle": 2.110757564130642, "x": 0.8577286100002721, "z": -0.5141027441932216, "normal": [ 0.8577286100002721, -0.5141027441932216 ], "tangent": [ -0.5141027441932216, -0.8577286100002721 ], "potential": 0.5, "ex": 0.2915880727357748, "ez": -0.17477116493459044, "terms": [ { "role": "real", "distance": 2.6563905919071624, "potential": 0.3764506631843051, "ex": 0.045758744088120466, "ez": -0.13412422384131797 }, { "role": "image", "distance": 1.3281952959535814, "potential": -0.37645066318430503, "ex": -0.18303497635248175, "ez": 0.2164044310033383 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.42886430500013606, "ez": -0.2570513720966108 } ], "normalField": 0.3399537678190334, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3399537678190334, "normalResidual": 0, "density": 0.027052661285556834, "expectedDensity": 0.027052661285556834, "capCharge": -0.08913631656346577 }, { "coordinate": 2.1598449493429825, "angle": 2.1598449493429825, "x": 0.8314696123025453, "z": -0.555570233019602, "normal": [ 0.8314696123025453, -0.555570233019602 ], "tangent": [ -0.555570233019602, -0.8314696123025453 ], "potential": 0.49999999999999994, "ex": 0.2872191404957397, "ez": -0.19191369408079492, "terms": [ { "role": "real", "distance": 2.6874301725027965, "potential": 0.3721026913487031, "ex": 0.04283855521851097, "ez": -0.13166679205368 }, { "role": "image", "distance": 1.343715086251398, "potential": -0.37210269134870316, "ex": -0.17135422087404395, "ez": 0.21753821448268607 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.4157348061512727, "ez": -0.277785116509801 } ], "normalField": 0.34543552313398285, "tangentialField": -5.551115123125783e-17, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.3454355231339829, "normalResidual": -5.551115123125783e-17, "density": 0.02748888551315407, "expectedDensity": 0.027488885513154072, "capCharge": -0.08203042323357213 }, { "coordinate": 2.2089323345553233, "angle": 2.2089323345553233, "x": 0.8032075314806449, "z": -0.5956993044924334, "normal": [ 0.8032075314806449, -0.5956993044924334 ], "tangent": [ -0.5956993044924334, -0.8032075314806449 ], "potential": 0.5, "ex": 0.28148313140266024, "ez": -0.20876211817114607, "terms": [ { "role": "real", "distance": 2.717130327748327, "potential": 0.3680353458896082, "ex": 0.04004021144588742, "ez": -0.12939663154082917 }, { "role": "image", "distance": 1.3585651638741636, "potential": -0.3680353458896082, "ex": -0.1601608457835497, "ez": 0.21848416561589978 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.40160376574032247, "ez": -0.2978496522462167 } ], "normalField": 0.3504488197262916, "tangentialField": -2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3504488197262916, "normalResidual": 0, "density": 0.027887830980079915, "expectedDensity": 0.027887830980079915, "capCharge": -0.0750486644596855 }, { "coordinate": 2.2580197197676637, "angle": 2.2580197197676637, "x": 0.7730104533627371, "z": -0.6343932841636454, "normal": [ 0.7730104533627371, -0.6343932841636454 ], "tangent": [ -0.6343932841636454, -0.7730104533627371 ], "potential": 0.5, "ex": 0.274442983154081, "ez": -0.22522953556630154, "terms": [ { "role": "real", "distance": 2.7454641022338246, "potential": 0.3642371427061669, "ex": 0.03735408117576251, "ez": -0.12730143577936254 }, { "role": "image", "distance": 1.3727320511169123, "potential": -0.3642371427061669, "ex": -0.14941632470305005, "ez": 0.21926854229488368 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.38650522668136855, "ez": -0.3171966420818227 } ], "normalField": 0.35503139958871677, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.35503139958871677, "normalResidual": 0, "density": 0.028252501098689087, "expectedDensity": 0.028252501098689087, "capCharge": -0.06822382192946347 }, { "coordinate": 2.3071071049800045, "angle": 2.3071071049800045, "x": 0.740951125354959, "z": -0.6715589548470184, "normal": [ 0.740951125354959, -0.6715589548470184 ], "tangent": [ -0.6715589548470184, -0.740951125354959 ], "potential": 0.5000000000000001, "ex": 0.2661621246270295, "ez": -0.24123528815582965, "terms": [ { "role": "real", "distance": 2.772406142575087, "potential": 0.3606975127645521, "ex": 0.03477114601681671, "ez": -0.1253701672522849 }, { "role": "image", "distance": 1.3862030712875435, "potential": -0.3606975127645521, "ex": -0.13908458406726684, "ez": 0.21991435651996458 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.3704755626774796, "ez": -0.33577947742350933 } ], "normalField": 0.35921684375541263, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 1.1102230246251565e-16, "expectedNormal": 0.3592168437554125, "normalResidual": 1.1102230246251565e-16, "density": 0.02858556816277148, "expectedDensity": 0.02858556816277147, "capCharge": -0.06158712671483141 }, { "coordinate": 2.356194490192345, "angle": 2.356194490192345, "x": 0.7071067811865476, "z": -0.7071067811865475, "normal": [ 0.7071067811865476, -0.7071067811865475 ], "tangent": [ -0.7071067811865475, -0.7071067811865476 ], "potential": 0.5, "ex": 0.25670453633364926, "ez": -0.25670453633364926, "terms": [ { "role": "real", "distance": 2.797932651931813, "potential": 0.3574067443365933, "ex": 0.03228295141987487, "ez": -0.12359292688271245 }, { "role": "image", "distance": 1.3989663259659066, "potential": -0.35740674433659325, "ex": -0.1291318056794994, "ez": 0.22044178114233692 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.3535533905932738, "ez": -0.35355339059327373 } ], "normalField": 0.36303503680574367, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.36303503680574367, "normalResidual": 0, "density": 0.028889410311591132, "expectedDensity": 0.028889410311591132, "capCharge": -0.05516824645091817 }, { "coordinate": 2.405281875404685, "angle": 2.405281875404685, "x": 0.6715589548470186, "z": -0.7409511253549589, "normal": [ 0.6715589548470186, -0.7409511253549589 ], "tangent": [ -0.7409511253549589, -0.6715589548470186 ], "potential": 0.5, "ex": 0.24613479895158777, "ez": -0.27156790175441914, "terms": [ { "role": "real", "distance": 2.8220213502771085, "potential": 0.35435592997969523, "ex": 0.029881559490640502, "ez": -0.12196083980726603 }, { "role": "image", "distance": 1.4110106751385543, "potential": -0.35435592997969523, "ex": -0.11952623796256201, "ez": 0.22086850073032635 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.3357794774235093, "ez": -0.37047556267747944 } ], "normalField": 0.3665125707506311, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.36651257075063115, "normalResidual": -5.551115123125783e-17, "density": 0.02916614367014048, "expectedDensity": 0.029166143670140483, "capCharge": -0.048995271176488886 }, { "coordinate": 2.454369260617026, "angle": 2.454369260617026, "x": 0.6343932841636455, "z": -0.773010453362737, "normal": [ 0.6343932841636455, -0.773010453362737 ], "tangent": [ -0.773010453362737, -0.6343932841636455 ], "potential": 0.5, "ex": 0.23451812963284677, "ez": -0.2857611677719219, "terms": [ { "role": "real", "distance": 2.8446514397111904, "potential": 0.35153691803503606, "ex": 0.02755950414965866, "ez": -0.1204659554321251 }, { "role": "image", "distance": 1.4223257198555952, "potential": -0.35153691803503606, "ex": -0.11023801659863464, "ez": 0.2212100143415717 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.31719664208182274, "ez": -0.3865052266813685 } ], "normalField": 0.3696730963065357, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.36967309630653566, "normalResidual": 5.551115123125783e-17, "density": 0.02941765030263572, "expectedDensity": 0.029417650302635715, "capCharge": -0.043094698133038734 }, { "coordinate": 2.5034566458293663, "angle": 2.5034566458293663, "x": 0.5956993044924335, "z": -0.8032075314806448, "normal": [ 0.5956993044924335, -0.8032075314806448 ], "tangent": [ -0.8032075314806448, -0.5956993044924335 ], "potential": 0.49999999999999994, "ex": 0.22192040614735487, "ez": -0.29922502890728675, "terms": [ { "role": "real", "distance": 2.8658035742043766, "potential": 0.3489422684098741, "ex": 0.025309748699620615, "ez": -0.1191011599973425 }, { "role": "image", "distance": 1.432901787102188, "potential": -0.34894226840987413, "ex": -0.1012389947984825, "ez": 0.2214798968303782 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.29784965224621673, "ez": -0.4016037657403224 } ], "normalField": 0.37253762842050403, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.3725376284205041, "normalResidual": -5.551115123125783e-17, "density": 0.029645602525427486, "expectedDensity": 0.02964560252542749, "capCharge": -0.037491415822433205 }, { "coordinate": 2.552544031041707, "angle": 2.552544031041707, "x": 0.5555702330196022, "z": -0.8314696123025453, "normal": [ 0.5555702330196022, -0.8314696123025453 ], "tangent": [ -0.8314696123025453, -0.5555702330196022 ], "potential": 0.49999999999999994, "ex": 0.20840817917330026, "ez": -0.31190488193738297, "terms": [ { "role": "real", "distance": 2.8854598332345884, "potential": 0.3465652124081049, "ex": 0.023125645778833564, "ez": -0.11786010012046408 }, { "role": "image", "distance": 1.4427299166172944, "potential": -0.34656521240810484, "ex": -0.09250258311533423, "ez": 0.2216900243343535 }, { "role": "central-image", "distance": 1.0000000000000002, "potential": 0.4999999999999999, "ex": 0.2777851165098009, "ez": -0.4157348061512724 } ], "normalField": 0.37512481192624847, "tangentialField": -2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.3751248119262487, "normalResidual": -2.220446049250313e-16, "density": 0.029851484047240008, "expectedDensity": 0.029851484047240025, "capCharge": -0.03220868761828494 }, { "coordinate": 2.6016314162540475, "angle": 2.6016314162540475, "x": 0.5141027441932218, "z": -0.857728610000272, "normal": [ 0.5141027441932218, -0.857728610000272 ], "tangent": [ -0.857728610000272, -0.5141027441932218 ], "potential": 0.5, "ex": 0.19404867322953265, "ez": -0.3237506522606858, "terms": [ { "role": "real", "distance": 2.903603698854423, "potential": 0.34439961637827377, "ex": 0.021000899622359414, "ez": -0.11673711600341945 }, { "role": "image", "distance": 1.4518018494272116, "potential": -0.34439961637827377, "ex": -0.08400359848943766, "ez": 0.22185076874286966 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.2570513720966109, "ez": -0.428864305000136 } ], "normalField": 0.3774511523645959, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3774511523645959, "normalResidual": 0, "density": 0.03003660833727879, "expectedDensity": 0.03003660833727879, "capCharge": -0.027268135216226674 }, { "coordinate": 2.650718801466388, "angle": 2.650718801466388, "x": 0.47139673682599786, "z": -0.8819212643483549, "normal": [ 0.47139673682599786, -0.8819212643483549 ], "tangent": [ -0.8819212643483549, -0.47139673682599786 ], "potential": 0.5, "ex": 0.17890977687453097, "ez": -0.33471665011484764, "terms": [ { "role": "real", "distance": 2.9202200357838484, "potential": 0.34243994895801716, "ex": 0.018929530512822652, "ez": -0.11572718317134088 }, { "role": "image", "distance": 1.4601100178919242, "potential": -0.34243994895801716, "ex": -0.07571812205129061, "ez": 0.22197116523067073 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.23569836841299893, "ez": -0.44096063217417747 } ], "normalField": 0.3795312162726536, "tangentialField": 2.7755575615628914e-17, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3795312162726536, "normalResidual": 0, "density": 0.030202134563736004, "expectedDensity": 0.030202134563736004, "capCharge": -0.022689722194398354 }, { "coordinate": 2.6998061866787286, "angle": 2.6998061866787286, "x": 0.42755509343028203, "z": -0.9039892931234433, "normal": [ 0.42755509343028203, -0.9039892931234433 ], "tangent": [ -0.9039892931234433, -0.42755509343028203 ], "potential": 0.5, "ex": 0.16306002288557914, "ez": -0.344761452009373, "terms": [ { "role": "real", "distance": 2.935295074178024, "potential": 0.34068125170687713, "ex": 0.01690584127652064, "ez": -0.11482586177228113 }, { "role": "image", "distance": 1.4676475370890123, "potential": -0.3406812517068771, "ex": -0.06762336510608252, "ez": 0.22205905632462977 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.21377754671514101, "ez": -0.45199464656172167 } ], "normalField": 0.3813778046177528, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3813778046177527, "normalResidual": 5.551115123125783e-17, "density": 0.030349081395225214, "expectedDensity": 0.030349081395225207, "capCharge": -0.01849173793898129 }, { "coordinate": 2.748893571891069, "angle": 2.748893571891069, "x": 0.3826834323650899, "z": -0.9238795325112867, "normal": [ 0.3826834323650899, -0.9238795325112867 ], "tangent": [ -0.9238795325112867, -0.3826834323650899 ], "potential": 0.49999999999999994, "ex": 0.14656855919148337, "ez": -0.3538478034175628, "terms": [ { "role": "real", "distance": 2.9488163947667463, "potential": 0.3391191129344968, "ex": 0.014924385663687176, "ez": -0.11402925260618256 }, { "role": "image", "distance": 1.474408197383373, "potential": -0.33911911293449687, "ex": -0.05969754265474874, "ez": 0.22212121544426314 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.19134171618254495, "ez": -0.46193976625564337 } ], "normalField": 0.3830021025097663, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": -5.551115123125783e-17, "expectedNormal": 0.38300210250976635, "normalResidual": -5.551115123125783e-17, "density": 0.03047833891450906, "expectedDensity": 0.030478338914509066, "capCharge": -0.014690782171305539 }, { "coordinate": 2.7979809571034093, "angle": 2.7979809571034093, "x": 0.33688985339222033, "z": -0.9415440651830207, "normal": [ 0.33688985339222033, -0.9415440651830207 ], "tangent": [ -0.9415440651830207, -0.33688985339222033 ], "potential": 0.5, "ex": 0.12950511137049434, "ez": -0.3619425393610589, "terms": [ { "role": "real", "distance": 2.9607729161035103, "potential": 0.3377496445475589, "ex": 0.012979938441871945, "ez": -0.11333395917293325 }, { "role": "image", "distance": 1.4803864580517552, "potential": -0.3377496445475589, "ex": -0.05191975376748778, "ez": 0.2221634524033847 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.16844492669611016, "ez": -0.47077203259151035 } ], "normalField": 0.3844138078558259, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3844138078558258, "normalResidual": 1.1102230246251565e-16, "density": 0.030590678856516382, "expectedDensity": 0.03059067885651637, "capCharge": -0.011301750293575774 }, { "coordinate": 2.84706834231575, "angle": 2.84706834231575, "x": 0.2902846772544624, "z": -0.9569403357322088, "normal": [ 0.2902846772544624, -0.9569403357322088 ], "tangent": [ -0.9569403357322088, -0.2902846772544624 ], "potential": 0.5000000000000002, "ex": 0.11193993754812467, "ez": -0.3690165200323133, "terms": [ { "role": "real", "distance": 2.9711548836990698, "potential": 0.3365694617558968, "ex": 0.011067467026368868, "ez": -0.11273705513560046 }, { "role": "image", "distance": 1.485577441849535, "potential": -0.33656946175589675, "ex": -0.04426986810547545, "ez": 0.22219070296939178 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.14514233862723125, "ez": -0.4784701678661046 } ], "normalField": 0.3856212412134953, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 2.220446049250313e-16, "expectedNormal": 0.38562124121349506, "normalResidual": 2.220446049250313e-16, "density": 0.030686763350179943, "expectedDensity": 0.030686763350179926, "capCharge": -0.008337819750025177 }, { "coordinate": 2.8961557275280905, "angle": 2.8961557275280905, "x": 0.24298017990326407, "z": -0.970031253194544, "normal": [ 0.24298017990326407, -0.970031253194544 ], "tangent": [ -0.970031253194544, -0.24298017990326407 ], "potential": 0.5, "ex": 0.09394377654187175, "ez": -0.37504457904764227, "terms": [ { "role": "real", "distance": 2.9799538608472074, "potential": 0.3355756654956053, "ex": 0.009182104469920092, "ez": -0.11223605668831614 }, { "role": "image", "distance": 1.4899769304236037, "potential": -0.3355756654956053, "ex": -0.03672841787968037, "ez": 0.22220710423794587 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.12149008995163203, "ez": -0.485015626597272 } ], "normalField": 0.3866314387423406, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3866314387423406, "normalResidual": 0, "density": 0.03076715231528742, "expectedDensity": 0.03076715231528742, "capCharge": -0.005810437579659933 }, { "coordinate": 2.945243112740431, "angle": 2.945243112740431, "x": 0.1950903220161286, "z": -0.9807852804032304, "normal": [ 0.1950903220161286, -0.9807852804032304 ], "tangent": [ -0.9807852804032304, -0.1950903220161286 ], "potential": 0.5, "ex": 0.075587790104917, "ez": -0.3800054823169679, "terms": [ { "role": "real", "distance": 2.9871627209800473, "potential": 0.3347658274444164, "ex": 0.007319123634382438, "ez": -0.11182889940083714 }, { "role": "image", "distance": 1.4935813604900237, "potential": -0.3347658274444164, "ex": -0.029276494537529753, "ez": 0.22221605728548444 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.0975451610080643, "ez": -0.4903926402016152 } ], "normalField": 0.387450229841068, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.38745022984106803, "normalResidual": -5.551115123125783e-17, "density": 0.03083230964064847, "expectedDensity": 0.030832309640648477, "capCharge": -0.003729309315880003 }, { "coordinate": 2.9943304979527716, "angle": 2.9943304979527716, "x": 0.1467304744553618, "z": -0.989176509964781, "normal": [ 0.1467304744553618, -0.989176509964781 ], "tangent": [ -0.989176509964781, -0.1467304744553618 ], "potential": 0.5, "ex": 0.05694350012126145, "ez": -0.3838818958652266, "terms": [ { "role": "real", "distance": 2.992775641417032, "potential": 0.3341379775219354, "ex": 0.005473912368806483, "ez": -0.11151391918534134 }, { "role": "image", "distance": 1.496387820708516, "potential": -0.3341379775219354, "ex": -0.02189564947522593, "ez": 0.2222202783025053 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.0733652372276809, "ez": -0.4945882549823905 } ], "normalField": 0.38808230078057, "tangentialField": 6.938893903907228e-18, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.38808230078056993, "normalResidual": 5.551115123125783e-17, "density": 0.030882608247851714, "expectedDensity": 0.03088260824785171, "capCharge": -0.00210238936735313 }, { "coordinate": 3.043417883165112, "angle": 3.043417883165112, "x": 0.09801714032956083, "z": -0.9951847266721968, "normal": [ 0.09801714032956083, -0.9951847266721968 ], "tangent": [ -0.9951847266721968, -0.09801714032956083 ], "potential": 0.5, "ex": 0.03808272160238699, "ez": -0.38666036125290687, "terms": [ { "role": "real", "distance": 2.996788098396146, "potential": 0.33369059378445576, "ex": 0.0036419495207978096, "ez": -0.11128983709714398 }, { "role": "image", "distance": 1.4983940491980725, "potential": -0.33369059378445587, "ex": -0.01456779808319125, "ez": 0.2222218391803357 }, { "role": "central-image", "distance": 0.9999999999999999, "potential": 0.5000000000000001, "ex": 0.04900857016478043, "ez": -0.4975923633360986 } ], "normalField": 0.3885312453958798, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3885312453958798, "normalResidual": 0, "density": 0.030918334125202236, "expectedDensity": 0.030918334125202236, "capCharge": -0.0009358729936089216 }, { "coordinate": 3.0925052683774528, "angle": 3.0925052683774528, "x": 0.049067674327417966, "z": -0.9987954562051724, "normal": [ 0.049067674327417966, -0.9987954562051724 ], "tangent": [ -0.9987954562051724, -0.049067674327417966 ], "potential": 0.5, "ex": 0.019077492331823324, "ez": -0.3883312775263714, "terms": [ { "role": "real", "distance": 2.999196863298688, "potential": 0.33342259464093427, "ex": 0.001818781610628553, "ez": -0.11115574774113077 }, { "role": "image", "distance": 1.499598431649344, "potential": -0.33342259464093427, "ex": -0.007275126442514212, "ez": 0.22222219831734558 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 0.024533837163708983, "ez": -0.4993977281025862 } ], "normalField": 0.38879960367641125, "tangentialField": 3.469446951953614e-18, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.38879960367641125, "normalResidual": 0, "density": 0.030939689398635346, "expectedDensity": 0.030939689398635346, "capCharge": -0.00023418996800617098 }, { "coordinate": 3.141592653589793, "angle": 3.141592653589793, "x": 1.2246467991473532e-16, "z": -1, "normal": [ 1.2246467991473532e-16, -1 ], "tangent": [ -1, -1.2246467991473532e-16 ], "potential": 0.5, "ex": 4.762515330017485e-17, "ez": -0.3888888888888889, "terms": [ { "role": "real", "distance": 3, "potential": 0.3333333333333333, "ex": 4.535728885730938e-18, "ez": -0.1111111111111111 }, { "role": "image", "distance": 1.5, "potential": -0.3333333333333333, "ex": -1.8142915542923752e-17, "ez": 0.2222222222222222 }, { "role": "central-image", "distance": 1, "potential": 0.5, "ex": 6.123233995736766e-17, "ez": -0.5 } ], "normalField": 0.3888888888888889, "tangentialField": 0, "expectedPotential": 0.5, "potentialResidual": 0, "expectedNormal": 0.3888888888888889, "normalResidual": 0, "density": 0.030946794490090763, "expectedDensity": 0.030946794490090763, "capCharge": 0 } ], "quadrature": [ { "index": 0, "value": -0.0014991766831518524, "estimatedError": 8.638914534902717e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0, "b": 0.01227184630308513, "fa": 0, "fm": -0.007668816352630693, "fb": -0.015331109768655786, "fl": -0.0038348160112664995, "fr": -0.011501185758023749, "whole": -0.00009409719419349164, "left": -0.0000235293021974633, "right": -0.00007056789117046139, "delta": 8.255669504140042e-13, "corrected": -0.00009409719331288689, "estimatedError": 5.503779669426695e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.01227184630308513, "b": 0.02454369260617026, "fa": -0.015331109768655786, "fm": -0.022980370221730773, "fb": -0.030610113456466474, "fl": -0.019157775135685916, "fr": -0.026798085400827076, "whole": -0.0002819716526317871, "left": -0.00011754647349854658, "right": -0.0001644251766692022, "delta": 2.4640383592018644e-12, "corrected": -0.00028197165000347954, "estimatedError": 1.6426922394679097e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.02454369260617026, "b": 0.03681553890925539, "fa": -0.030610113456466474, "fm": -0.03821389375030348, "fb": -0.04578531652794009, "fl": -0.034415649977323756, "fr": -0.042004047150533554, "whole": -0.00046888884966855615, "left": -0.00021116432551448948, "right": -0.000257724520089224, "delta": 4.0648427007163035e-12, "corrected": -0.00046888884533272395, "estimatedError": 2.709895133810869e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.03681553890925539, "b": 0.04908738521234052, "fa": -0.04578531652794009, "fm": -0.05331805078061572, "fb": -0.06080584124378172, "fl": -0.04955691259004283, "fr": -0.05706795165386484, "whole": -0.0006542190004802809, "left": -0.0003040667124975424, "right": -0.0003501522823788148, "delta": 5.603923792021903e-12, "corrected": -0.0006542189945027622, "estimatedError": 3.7359491946812685e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0014991766831518524, "estimatedCumulativeError": 8.638914534902717e-13, "exactCap": -0.0014991766831521653, "actualError": 3.129007469793166e-16 }, { "index": 1, "value": -0.004417221140141193, "estimatedError": 2.388715939459496e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.04908738521234052, "b": 0.06135923151542565, "fa": -0.06080584124378172, "fm": -0.06824252028820067, "fb": -0.07562201948130064, "fl": -0.0645309514283389, "fr": -0.0719397924596326, "whole": -0.0008373447699207974, "left": -0.0003959431107722632, "right": -0.0004414016520897678, "delta": 7.058766440283526e-12, "corrected": -0.0008373447623914466, "estimatedError": 4.705844293522351e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.06135923151542565, "b": 0.07363107781851078, "fa": -0.07562201948130064, "fm": -0.08293838077764733, "fb": -0.09018576729967083, "fl": -0.07928846013466032, "fr": -0.08657105567138954, "whole": -0.0010176659868918242, "left": -0.00048649100393806984, "right": -0.0005311749745448233, "delta": 8.408930886674715e-12, "corrected": -0.0010176659779222979, "estimatedError": 5.605953924449809e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.07363107781851078, "b": 0.0859029241215959, "fa": -0.09018576729967083, "fm": -0.09735847367227066, "fb": -0.1044509358776075, "fl": -0.09378180668089073, "fr": -0.10091507726607284, "whole": -0.0011946041011945039, "left": -0.0005754181475575472, "right": -0.00061918594400044, "delta": 9.636516844907517e-12, "corrected": -0.0011946040909155526, "estimatedError": 6.424344563271678e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.0859029241215959, "b": 0.09817477042468103, "fa": -0.1044509358776075, "fm": -0.11145774059923569, "fb": -0.118373634027728, "fl": -0.10796537762481676, "fr": -0.11492737312814302, "whole": -0.001367606320353522, "left": -0.0006624446811909608, "right": -0.0007051616284360364, "delta": 1.0726524920026681e-11, "corrected": -0.0013676063089118956, "estimatedError": 7.151016613351121e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.005916397823293045, "estimatedCumulativeError": 3.252607392949768e-12, "exactCap": -0.005916397823294178, "actualError": 1.132774429812855e-15 }, { "index": 2, "value": -0.007104124760625675, "estimatedError": 9.40443852711729e-13, "evaluations": 29, "converged": true, "leaves": [ { "a": 0.09817477042468103, "b": 0.11044661672776616, "fa": -0.118373634027728, "fm": -0.12519353010305678, "fb": -0.13191251817219776, "fl": -0.12179589284710875, "fr": -0.12856593750528772, "whole": -0.001536149371641593, "left": -0.0007473050593465239, "right": -0.0007888443006279378, "delta": 1.166713123681995e-11, "corrected": -0.001536149359196653, "estimatedError": 7.7780874912133e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.11044661672776616, "b": 0.11658253987930872, "fa": -0.13191251817219776, "fm": -0.1352326868369335, "fb": -0.13852587004369868, "fl": -0.13357594012487983, "fr": -0.13688268699701414, "whole": -0.0008297497772253253, "left": -0.0004098024385203644, "right": -0.0004199473383215058, "delta": 3.8345509493359353e-13, "corrected": -0.0008297497768163066, "estimatedError": 2.5563672995572902e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.11658253987930872, "b": 0.1227184630308513, "fa": -0.13852587004369868, "fm": -0.14179150633421375, "fb": -0.14502904642425646, "fl": -0.14016216617108151, "fr": -0.14341382225438604, "whole": -0.0008699930537203726, "left": -0.0004300085834179075, "right": -0.0004399844699080441, "delta": 3.944209325465464e-13, "corrected": -0.0008699930532996569, "estimatedError": 2.629472883643643e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1227184630308513, "b": 0.12885438618239387, "fa": -0.14502904642425646, "fm": -0.1482379533702255, "fb": -0.15141770272567986, "fl": -0.1466371121128208, "fr": -0.14983150503242498, "whole": -0.0009095468718992079, "left": -0.0004498733314980017, "right": -0.0004596735399971012, "delta": 4.0410502635118695e-13, "corrected": -0.0009095468714681625, "estimatedError": 2.694033509007913e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.12885438618239387, "b": 0.1349903093339364, "fa": -0.15141770272567986, "fm": -0.1545677826878242, "fb": -0.15768769423391552, "fl": -0.1529964828708993, "fr": -0.15613154019905387, "whole": -0.0009483851844297331, "left": -0.0004693835057827697, "right": -0.00047900167823446176, "delta": 4.1250163007600094e-13, "corrected": -0.0009483851839897314, "estimatedError": 2.7500108671733396e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1349903093339364, "b": 0.14112623248547898, "fa": -0.15768769423391552, "fm": -0.16077695124758815, "fb": -0.1638350806350963, "fl": -0.1592361844321744, "fr": -0.16230993595130383, "whole": -0.0009864831846075016, "left": -0.0004885265461367047, "right": -0.0004979566380511879, "delta": 4.196090089975124e-13, "corrected": -0.0009864831841599187, "estimatedError": 2.7973933933167494e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.14112623248547898, "b": 0.14726215563702155, "fa": -0.1638350806350963, "fm": -0.16686162243149433, "fb": -0.1698561298967809, "fl": -0.16535232821445206, "fr": -0.16836290785775354, "whole": -0.0010238173321490429, "left": -0.0005072905226579342, "right": -0.000516526809065674, "delta": 4.25434860951146e-13, "corrected": -0.0010238173316952457, "estimatedError": 2.8362324063409734e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.01302052258391872, "estimatedCumulativeError": 4.193051245661497e-12, "exactCap": -0.013020522583920113, "actualError": 1.392982951209376e-15 }, { "index": 3, "value": -0.009436171139219119, "estimatedError": 2.3103890039547863e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.14726215563702155, "b": 0.15339807878856412, "fa": -0.1698561298967809, "fm": -0.1728181696020479, "fb": -0.17574732150568495, "fl": -0.17134123478660757, "fr": -0.1742868822568489, "whole": -0.001060365375031179, "left": -0.0005256641470914679, "right": -0.0005347012275097222, "delta": 4.2998894375645413e-13, "corrected": -0.0010603653745725242, "estimatedError": 2.866592958376361e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.15339807878856412, "b": 0.1595340019401067, "fa": -0.17574732150568495, "fm": -0.1786431790197007, "fb": -0.18150534906623608, "fl": -0.1771994369460011, "fr": -0.1800784990146847, "whole": -0.0010961063673935408, "left": -0.0005436367822708007, "right": -0.0005524695846894509, "delta": 4.332892551695e-13, "corrected": -0.0010961063669313656, "estimatedError": 2.888595034463333e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1595340019401067, "b": 0.16566992509164924, "fa": -0.18150534906623608, "fm": -0.18433345212435207, "fb": -0.18712712226718528, "fl": -0.18292368215825666, "fr": -0.18573461364876928, "whole": -0.0011310206835398945, "left": -0.000561198449603244, "right": -0.0005698222335012914, "delta": 4.3535899711677484e-13, "corrected": -0.0011310206830755117, "estimatedError": 2.902393314111832e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.16566992509164924, "b": 0.1718058482431918, "fa": -0.18712712226718528, "fm": -0.1898860071895758, "fb": -0.19260976822628165, "fl": -0.18851093436734867, "fr": -0.19125229882710068, "whole": -0.0011650900280912732, "left": -0.0005783398346236144, "right": -0.0005867501930314334, "delta": 4.3622527465259076e-13, "corrected": -0.001165090027625966, "estimatedError": 2.9081684976839385e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1718058482431918, "b": 0.17794177139473438, "fa": -0.19260976822628165, "fm": -0.19529808036089916, "fb": -0.19795063222562526, "fl": -0.19395837518666334, "fr": -0.19662884525452995, "whole": -0.0011982974423602741, "left": -0.0005950522906487414, "right": -0.0006032451512756117, "delta": 4.359210475229913e-13, "corrected": -0.0011982974418952917, "estimatedError": 2.9061403168199424e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.17794177139473438, "b": 0.18407769454627693, "fa": -0.19795063222562526, "fm": -0.20056712609199767, "fb": -0.20314727785276288, "fl": -0.19926340448428362, "fr": -0.2018617619608814, "whole": -0.0012306273070317128, "left": -0.0006113278405735956, "right": -0.0006192994660236352, "delta": 4.3448187755923406e-13, "corrected": -0.0012306273065682653, "estimatedError": 2.896545850394894e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.18407769454627693, "b": 0.1902136176978195, "fa": -0.20314727785276288, "fm": -0.2056908169950276, "fb": -0.20819748656485612, "fl": -0.20442364037814434, "fr": -0.20694877600761127, "whole": -0.0012620653412489795, "left": -0.0006271591768570463, "right": -0.0006349061639599837, "delta": 4.319493981247424e-13, "corrected": -0.0012620653407882335, "estimatedError": 2.8796626541649495e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.1902136176978195, "b": 0.19634954084936207, "fa": -0.20819748656485612, "fm": -0.21066704312348544, "fb": -0.21309925669533225, "fl": -0.20943691865892333, "fr": -0.21188783163191227, "whole": -0.0012925985982188872, "left": -0.000642539659751902, "right": -0.0006500589380386165, "delta": 4.283687120298918e-13, "corrected": -0.0012925985977619606, "estimatedError": 2.855791413532612e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.02245669372313784, "estimatedCumulativeError": 4.4240901460569755e-12, "exactCap": -0.022456693723139246, "actualError": 1.4051260155412137e-15 }, { "index": 4, "value": -0.01132817826519431, "estimatedError": 2.1259442412509728e-13, "evaluations": 33, "converged": true, "leaves": [ { "a": 0.19634954084936207, "b": 0.20248546400090464, "fa": -0.21309925669533225, "fm": -0.21549391070797763, "fb": -0.2178508019243156, "fl": -0.21430129166057293, "fr": -0.2166770888491064, "whole": -0.0013222154574601729, "left": -0.0006574633138404368, "right": -0.0006647521431959501, "delta": 4.2378600628723007e-13, "corrected": -0.0013222154570081345, "estimatedError": 2.825240041914867e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.20248546400090464, "b": 0.2086213871524472, "fa": -0.2178508019243156, "fm": -0.22016974036706138, "fb": -0.2224505492358176, "fl": -0.21901502660022387, "fr": -0.22131492153590782, "whole": -0.001350905613831402, "left": -0.000671924822942086, "right": -0.0006789807904710635, "delta": 4.1825245523929855e-13, "corrected": -0.001350905613385266, "estimatedError": 2.7883497015953237e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.2086213871524472, "b": 0.21475731030398976, "fa": -0.2224505492358176, "fm": -0.22469306481690363, "fb": -0.22689713638615217, "fl": -0.2235766034108354, "fr": -0.22579991501866384, "whole": -0.0013786600634840432, "left": -0.0006859195234648049, "right": -0.0006927405396074184, "delta": 4.1181988374994205e-13, "corrected": -0.0013786600630447687, "estimatedError": 2.7454658916662803e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.21475731030398976, "b": 0.22089323345553233, "fa": -0.22689713638615217, "fm": -0.229062626104891, "fb": -0.23118940890931788, "fl": -0.22798471209139354, "fr": -0.23013086319201945, "whole": -0.0014054710868948654, "left": -0.0006994433962765001, "right": -0.0007060276902138216, "delta": 4.0454380297039183e-13, "corrected": -0.001405471086463352, "estimatedError": 2.6969586864692788e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.22089323345553233, "b": 0.2270291566070749, "fa": -0.23118940890931788, "fm": -0.23327737239349244, "fb": -0.23532641668616416, "fl": -0.23223824960068698, "fr": -0.23430676519457402, "whole": -0.0014313322291388845, "left": -0.0007124930571760602, "right": -0.0007188391715663451, "delta": 3.9647929037101015e-13, "corrected": -0.0014313322287159732, "estimatedError": 2.6431952691400677e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.2270291566070749, "b": 0.23316507975861744, "fa": -0.23532641668616416, "fm": -0.23733645432165706, "fb": -0.23930741010503928, "fl": -0.23633631632171873, "fr": -0.23832682166901967, "whole": -0.0014562382775704132, "left": -0.0007250657460471935, "right": -0.0007311725311355356, "delta": 3.8768402550737324e-13, "corrected": -0.0014562382771568835, "estimatedError": 2.584560170049155e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.23316507975861744, "b": 0.23930100291016002, "fa": -0.23930741010503928, "fm": -0.2412392209718032, "fb": -0.24313183584228248, "fl": -0.24027821212463144, "fr": -0.24219043063498466, "whole": -0.0014801852370841398, "left": -0.0007371593147806065, "right": -0.0007430259219253168, "delta": 3.782165552967953e-13, "corrected": -0.0014801852366807089, "estimatedError": 2.5214437019786354e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 }, { "a": 0.23930100291016002, "b": 0.2454369260617026, "fa": -0.24313183584228248, "fm": -0.24498521547103566, "fb": -0.24679933229142495, "fl": -0.24406343205665856, "fr": -0.24589718300333202, "whole": -0.0015031703031319007, "left": -0.0007487722140518065, "right": -0.0007543980887119599, "delta": 3.681343424544181e-13, "corrected": -0.0015031703027392242, "estimatedError": 2.4542289496961207e-14, "tolerance": 3.90625e-13, "accepted": true, "depthUsed": 3 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.03378487198833215, "estimatedCumulativeError": 4.636684570182073e-12, "exactCap": -0.033784871988333576, "actualError": 1.4224732503009818e-15 }, { "index": 5, "value": -0.01273736214849782, "estimatedError": 2.6962277318206183e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.2454369260617026, "b": 0.25770877236478773, "fa": -0.24679933229142495, "fm": -0.25030972467025125, "fb": -0.2536630198350051, "fl": -0.24857417025561948, "fr": -0.25200600202795315, "whole": -0.0030714411571765936, "left": -0.0015251918326734078, "right": -0.0015462493132400365, "delta": 1.126314926741534e-11, "corrected": -0.0030714411451625676, "estimatedError": 7.508766178276894e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.25770877236478773, "b": 0.2699806186678728, "fa": -0.2536630198350051, "fm": -0.2568594008309738, "fb": -0.2598992212084858, "fl": -0.2552808064353174, "fr": -0.2583988524995575, "whole": -0.0031518188738591008, "left": -0.0015663433302915972, "right": -0.0015854755330445651, "delta": 1.0522938423407346e-11, "corrected": -0.0031518188626346332, "estimatedError": 7.015292282271564e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.2699806186678728, "b": 0.28225246497095796, "fa": -0.2598992212084858, "fm": -0.26278299913300085, "fb": -0.2655114113174866, "fl": -0.26136057682656677, "fr": -0.2641665776240347, "whole": -0.0032245148056768754, "left": -0.0016036485989492616, "right": -0.0016208661969903421, "delta": 9.737271752796595e-12, "corrected": -0.0032245147952904524, "estimatedError": 6.491514501864396e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.28225246497095796, "b": 0.2945243112740431, "fa": -0.2655114113174866, "fm": -0.2680852868046565, "fb": -0.2705056006259161, "fl": -0.26681760855534686, "fr": -0.2693145724568738, "whole": -0.0032895873549248947, "left": -0.0016371329499817132, "right": -0.001652454396023125, "delta": 8.92005653368999e-12, "corrected": -0.0032895873454101675, "estimatedError": 5.946704355793327e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.046522234136829974, "estimatedCumulativeError": 7.332912302002691e-12, "exactCap": -0.04652223413683165, "actualError": 1.6792123247455493e-15 }, { "index": 6, "value": -0.013660254866375534, "estimatedError": 1.820798806867474e-12, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.2945243112740431, "b": 0.30679615757712825, "fa": -0.2705056006259161, "fm": -0.27277346736303437, "fb": -0.2748901346376306, "fl": -0.2716585149450819, "fr": -0.27385061793903853, "whole": -0.0033471248176112395, "left": -0.0016668369492804393, "right": -0.0016802878602464445, "delta": 8.084355667542509e-12, "corrected": -0.003347124808987927, "estimatedError": 5.389570445028339e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.30679615757712825, "b": 0.3190680038802134, "fa": -0.2748901346376306, "fm": -0.2768569765525657, "fb": -0.27867548710825624, "fl": -0.27589219312290264, "fr": -0.27778467537197277, "whole": -0.003397242880916171, "left": -0.0016928151756332324, "right": -0.001704427698040729, "delta": 7.242209870000904e-12, "corrected": -0.0033972428731911474, "estimatedError": 4.828139913333936e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.3190680038802134, "b": 0.3313398501832985, "fa": -0.27867548710825624, "fm": -0.28034727361580947, "fb": -0.2818740501276928, "fl": -0.2795296161647445, "fr": -0.2811286770022986, "whole": -0.003440082063238943, "left": -0.0017151349455390415, "right": -0.001724947111295395, "delta": 6.404506265600407e-12, "corrected": -0.0034400820564074695, "estimatedError": 4.2696708437336046e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.3313398501832985, "b": 0.3436116964863836, "fa": -0.2818740501276928, "fm": -0.2832576309054575, "fb": -0.2844999239427976, "fl": -0.2825836228551345, "fr": -0.283896315656354, "whole": -0.0034758051337419617, "left": -0.0017338750233693017, "right": -0.0017419301047917498, "delta": 5.580910299868291e-12, "corrected": -0.0034758051277889905, "estimatedError": 3.720606866578861e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.06018248900320551, "estimatedCumulativeError": 9.153711108870165e-12, "exactCap": -0.060182489003207114, "actualError": 1.6028844918025698e-15 }, { "index": 7, "value": -0.014124858037652413, "estimatedError": 9.757856559803694e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.3436116964863836, "b": 0.35588354278946877, "fa": -0.2844999239427976, "fm": -0.28560292456097436, "fb": -0.28656870909239196, "fl": -0.28506870785885213, "fr": -0.28610283607292425, "whole": -0.0035045945448027283, "left": -0.001749124334036756, "right": -0.0017554702059861598, "delta": 4.779812396576988e-12, "corrected": -0.003504594539704262, "estimatedError": 3.186541597717992e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.35588354278946877, "b": 0.36815538909255385, "fa": -0.28656870909239196, "fm": -0.28739942866684437, "fb": -0.2880973031137157, "fl": -0.2870008147994375, "fr": -0.2877648302724741, "whole": -0.0035266499070293494, "left": -0.0017609806934804047, "right": -0.0017656692095406245, "delta": 4.0083201514884426e-12, "corrected": -0.003526649902753808, "estimatedError": 2.6722134343256284e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.36815538909255385, "b": 0.380427235395639, "fa": -0.2880973031137157, "fm": -0.2886646149921892, "fb": -0.28910370376030436, "fl": -0.28839713442410364, "fr": -0.2889000389827356, "whole": -0.003542185532606256, "left": -0.001769549570339941, "right": -0.0017726359589940292, "delta": 3.272286087929732e-12, "corrected": -0.0035421855291158178, "estimatedError": 2.1815240586198215e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.380427235395639, "b": 0.39269908169872414, "fa": -0.28910370376030436, "fm": -0.2894169600925308, "fb": -0.2896068203543781, "fl": -0.2892759097152999, "fr": -0.2895271608223432, "whole": -0.003551428068826648, "left": -0.0017749428902338379, "right": -0.0017764851760164442, "delta": 2.5763662037103785e-12, "corrected": -0.0035514280660785243, "estimatedError": 1.7175774691402524e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.07430734704085792, "estimatedCumulativeError": 1.0129496764850535e-11, "exactCap": -0.07430734704085928, "actualError": 1.3600232051658168e-15 }, { "index": 8, "value": -0.014180714079010233, "estimatedError": 1.2820237059452124e-12, "evaluations": 13, "converged": true, "leaves": [ { "a": 0.39269908169872414, "b": 0.4049709280018093, "fa": -0.2896068203543781, "fm": -0.2896757612414472, "fb": -0.2896262945892639, "fl": -0.2896562494940015, "fr": -0.2896656706337159, "whole": -0.0035546142398304235, "left": -0.0017772778921226777, "right": -0.0017773363457836676, "delta": 1.9240785180396625e-12, "corrected": -0.003554614237778073, "estimatedError": 1.2827190120264415e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.4049709280018093, "b": 0.4172427743048944, "fa": -0.2896262945892639, "fm": -0.28946096235921, "fb": -0.2891823318048816, "fl": -0.2895579517555128, "fr": -0.2893356480596654, "whole": -0.003551988710878357, "left": -0.0017766760443721772, "right": -0.001775312665188293, "delta": 1.3178867719343401e-12, "corrected": -0.003551988709472611, "estimatedError": 8.785911812895601e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.4172427743048944, "b": 0.44178646691106466, "fa": -0.2891823318048816, "fm": -0.2882955434863744, "fb": -0.28698680148578215, "fl": -0.28879299082228316, "fr": -0.2876926057756676, "whole": -0.007074111148813833, "left": -0.0035438020860206194, "right": -0.003530309046804823, "delta": 1.598839029920418e-11, "corrected": -0.0070741111317595496, "estimatedError": 1.0658926866136121e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.08848806111986815, "estimatedCumulativeError": 1.1411520470795747e-11, "exactCap": -0.08848806111985955, "actualError": -8.604228440844963e-15 }, { "index": 9, "value": -0.013889180921550873, "estimatedError": 1.060464968153744e-12, "evaluations": 13, "converged": true, "leaves": [ { "a": 0.44178646691106466, "b": 0.4663301595172349, "fa": -0.28698680148578215, "fm": -0.2852771042413751, "fb": -0.28318745507002335, "fl": -0.2861807583321492, "fr": -0.28427846383015076, "whole": -0.007000199316862017, "left": -0.0035117666367494717, "right": -0.0034884326937039086, "delta": -1.3591363277887236e-11, "corrected": -0.0070001993313594715, "estimatedError": 9.060908851924824e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 0.4663301595172349, "b": 0.47860200582032003, "fa": -0.28318745507002335, "fm": -0.2820066861358205, "fb": -0.28073875243504115, "fl": -0.28260812807889046, "fr": -0.28138345324457337, "whole": -0.0034605644299314157, "left": -0.0017340391399524337, "right": -0.0017265252909749122, "delta": -9.959303347295556e-13, "corrected": -0.0034605644309937413, "estimatedError": 6.639535564863704e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.47860200582032003, "b": 0.4908738521234052, "fa": -0.28073875243504115, "fm": -0.27938623381509836, "fb": -0.27795169194491975, "fl": -0.2800729056800898, "fr": -0.2786790564601597, "whole": -0.0034284171577900007, "left": -0.0017184845292031318, "right": -0.0017099326299065496, "delta": -1.3196809096893691e-12, "corrected": -0.0034284171591976603, "estimatedError": 8.797872731262461e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.10237724204141903, "estimatedCumulativeError": 1.2471985438949491e-11, "exactCap": -0.10237724204140072, "actualError": -1.830480211850727e-14 }, { "index": 10, "value": -0.013315355022954948, "estimatedError": 5.134180118086343e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.4908738521234052, "b": 0.5031456984264904, "fa": -0.27795169194491975, "fm": -0.2764376678670638, "fb": -0.27484667971621773, "fl": -0.27720445723601217, "fr": -0.27565163787122815, "whole": -0.0033922431572354886, "left": -0.0017008852492167036, "right": -0.0016913579096196896, "delta": -1.6009047386356112e-12, "corrected": -0.0033922431589431205, "estimatedError": 1.0672698257570741e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5031456984264904, "b": 0.5154175447295755, "fa": -0.27484667971621773, "fm": -0.2731812205996803, "fb": -0.2714437566352132, "fl": -0.2740231042417941, "fr": -0.27232133619585874, "whole": -0.0033522906800173137, "left": -0.0016813659864564484, "right": -0.0016709246954027658, "delta": -1.841900330173951e-12, "corrected": -0.0033522906819820073, "estimatedError": 1.2279335534493008e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5154175447295755, "b": 0.5276893910326605, "fa": -0.2714437566352132, "fm": -0.26963672514145776, "fb": -0.26776253297596253, "fl": -0.2705487856684785, "fr": -0.2687078749464662, "whole": -0.0033088030843629684, "left": -0.0016600490809001707, "right": -0.0016487540055079581, "delta": -2.0451604819393676e-12, "corrected": -0.003308803086544473, "estimatedError": 1.3634403212929118e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5276893910326605, "b": 0.5399612373357456, "fa": -0.26776253297596253, "fm": -0.26582355501574434, "fb": -0.26382213277521743, "fl": -0.2668009950783269, "fr": -0.26483050442415346, "whole": -0.003262018093124489, "left": -0.0016370541401453515, "right": -0.0016249639551924417, "delta": -2.2133046263805856e-12, "corrected": -0.0032620180954853473, "estimatedError": 1.475536417587057e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.11569259706437397, "estimatedCumulativeError": 1.2985403450758125e-11, "exactCap": -0.11569259706435547, "actualError": -1.849909114781667e-14 }, { "index": 11, "value": -0.012522230501461383, "estimatedError": 6.617521923953558e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.5399612373357456, "b": 0.5522330836388307, "fa": -0.26382213277521743, "fm": -0.2617605731562568, "fb": -0.2596411473251279, "fl": -0.2627987273402793, "fr": -0.2607079529934364, "whole": -0.003212167167770732, "left": -0.0016124977124179756, "right": -0.0015996694577017684, "delta": -2.349012043906251e-12, "corrected": -0.003212167170276345, "estimatedError": 1.566008029270834e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5522330836388307, "b": 0.5645049299419159, "fa": -0.2596411473251279, "fm": -0.25746608971099233, "fb": -0.2552375971207141, "fl": -0.25856043429913284, "fr": -0.2563583869789675, "whole": -0.0031594749902205716, "left": -0.0015864930145193174, "right": -0.0015729819781562422, "delta": -2.4549880357771503e-12, "corrected": -0.0031594749928392256, "estimatedError": 1.6366586905181002e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5645049299419159, "b": 0.5767767762450011, "fa": -0.2552375971207141, "fm": -0.252957827964706, "fb": -0.2506289015886075, "fl": -0.2541039887316119, "fr": -0.25179937851222084, "whole": -0.003104159044303533, "left": -0.001559149710620036, "right": -0.0015450093362174018, "delta": -2.533904943508025e-12, "corrected": -0.003104159047006365, "estimatedError": 1.6892699623386836e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.5767767762450011, "b": 0.5890486225480862, "fa": -0.2506289015886075, "fm": -0.24825289770563871, "fb": -0.24583185592454984, "fl": -0.24944665591508625, "fr": -0.24704788065442124, "whole": -0.003046429288578512, "left": -0.0015305737377649571, "right": -0.001515855553401933, "delta": -2.588377862738911e-12, "corrected": -0.0030464292913394485, "estimatedError": 1.7255852418259405e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.12821482756583535, "estimatedCumulativeError": 1.3647155643153481e-11, "exactCap": -0.1282148275658167, "actualError": -1.865174681370263e-14 }, { "index": 12, "value": -0.011567052684437128, "estimatedError": 6.996979384776836e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.5890486225480862, "b": 0.6013204688511713, "fa": -0.24583185592454984, "fm": -0.24336777536817294, "fb": -0.2408626143776783, "fl": -0.24460507213822819, "fr": -0.24212020913030768, "whole": -0.002986487912313029, "left": -0.0015008671739743077, "right": -0.0014856207409596576, "delta": -2.6209364539786506e-12, "corrected": -0.0029864879151086945, "estimatedError": 1.7472909693191003e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6013204688511713, "b": 0.6135923151542565, "fa": -0.2408626143776783, "fm": -0.2383182902977431, "fb": -0.23573667933796089, "fl": -0.2395952294955644, "fr": -0.2370320300238721, "whole": -0.0029245291666048436, "left": -0.0014701281449031583, "right": -0.0014544010243356814, "delta": -2.633995885986673e-12, "corrected": -0.002924529169414439, "estimatedError": 1.7559972573244488e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6135923151542565, "b": 0.6258641614573417, "fa": -0.23573667933796089, "fm": -0.2331196165059398, "fb": -0.23046889560766035, "fl": -0.23443246632788833, "fr": -0.23179835281032724, "whole": -0.002860739262892393, "left": -0.001438450765145543, "right": -0.0014222885003767089, "delta": -2.6298590041773373e-12, "corrected": -0.0028607392656975756, "estimatedError": 1.753239336118225e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6258641614573417, "b": 0.6381360077604268, "fa": -0.23046889560766035, "fm": -0.22778626931081417, "fb": -0.22507344926696174, "fl": -0.22913146269633577, "fr": -0.2264335281267523, "whole": -0.002795296331431696, "left": -0.0014059251104263715, "right": -0.0013893712236160022, "delta": -2.6106777330225928e-12, "corrected": -0.002795296334216419, "estimatedError": 1.7404518220150617e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.1397818802502725, "estimatedCumulativeError": 1.4346853581631166e-11, "exactCap": -0.13978188025025365, "actualError": -1.8846035843012032e-14 }, { "index": 13, "value": -0.010499480049004202, "estimatedError": 6.678265290308941e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.6381360077604268, "b": 0.6504078540635119, "fa": -0.22507344926696174, "fm": -0.2223321062885063, "fb": -0.21956387057661284, "fl": -0.22370624030816347, "fr": -0.22095124971582653, "whole": -0.0027283704326984894, "left": -0.0013726372171111916, "right": -0.001355733218165764, "delta": -2.5784660864780484e-12, "corrected": -0.002728370435448853, "estimatedError": 1.7189773909853657e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6504078540635119, "b": 0.662679700366597, "fa": -0.21956387057661284, "fm": -0.2167703319963512, "fb": -0.2139530403954853, "fl": -0.21817016634565614, "fr": -0.21536456001162824, "whole": -0.0026601236150916013, "left": -0.0013386691056670173, "right": -0.0013214545119596738, "delta": -2.5350897596421174e-12, "corrected": -0.002660123617795697, "estimatedError": 1.6900598397614116e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.662679700366597, "b": 0.674951546669682, "fa": -0.2139530403954853, "fm": -0.21111350596347592, "fb": -0.20825319962741398, "fl": -0.2125359606850968, "fr": -0.20968585887266247, "whole": -0.0025907100127535543, "left": -0.0013040988249270445, "right": -0.0012866111903087794, "delta": -2.4822695982029686e-12, "corrected": -0.0025907100154013087, "estimatedError": 1.654846398801979e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.674951546669682, "b": 0.6872233929727672, "fa": -0.20825319962741398, "fm": -0.20537355348173275, "fb": -0.20247596124870681, "fl": -0.20681570602938018, "fr": -0.20392691500423166, "whole": -0.002520275977775333, "left": -0.0012690005142354914, "right": -0.0012512754659614142, "delta": -2.421572491140278e-12, "corrected": -0.0025202759803583438, "estimatedError": 1.6143816607601853e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.1502813602992767, "estimatedCumulativeError": 1.501468011066206e-11, "exactCap": -0.15028136029925787, "actualError": -1.8818280267396403e-14 }, { "index": 14, "value": -0.00936105583140436, "estimatedError": 5.979304435836201e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.6872233929727672, "b": 0.6994952392758524, "fa": -0.20247596124870681, "fm": -0.19956177876687256, "fb": -0.196632324504646, "fl": -0.2010208605149324, "fr": -0.19809887964928358, "whole": -0.00244896024150706, "left": -0.0012334444807769805, "right": -0.0012155157630845109, "delta": -2.3544313200452027e-12, "corrected": -0.0024489602440184535, "estimatedError": 1.5696208800301352e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.6994952392758524, "b": 0.7117670855789375, "fa": -0.196632324504646, "fm": -0.19368888009655436, "fb": -0.19073269089962278, "fl": -0.1951622723904129, "fr": -0.1922123021633801, "whole": -0.0023768941001466233, "left": -0.0011974972896204043, "right": -0.0011793968128083498, "delta": -2.2821306476517034e-12, "corrected": -0.002376894102580896, "estimatedError": 1.5214204317678023e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7117670855789375, "b": 0.7240389318820226, "fa": -0.19073269089962278, "fm": -0.18776496656759253, "fb": -0.18478688164076884, "fl": -0.18925019640076457, "fr": -0.18627714712496407, "whole": -0.0023042016202169196, "left": -0.001161221864229234, "right": -0.0011429797581935172, "delta": -2.2058314376460775e-12, "corrected": -0.0023042016225698066, "estimatedError": 1.4705542917640517e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7240389318820226, "b": 0.7363107781851077, "fa": -0.18478688164076884, "fm": -0.18179957614942222, "fb": -0.1788041562287831, "fl": -0.18329431154507186, "fr": -0.1803028126663133, "whole": -0.0022309998599668707, "left": -0.0011246775954031067, "right": -0.001106322266690327, "delta": -2.1265632484113173e-12, "corrected": -0.0022309998622352047, "estimatedError": 1.4177088322742116e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.15964241613068106, "estimatedCumulativeError": 1.561261055424568e-11, "exactCap": -0.1596424161306622, "actualError": -1.8846035843012032e-14 }, { "index": 15, "value": -0.008185520756589413, "estimatedError": 5.122668203979182e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.7363107781851077, "b": 0.7485826244881928, "fa": -0.1788041562287831, "fm": -0.17580169474378507, "fb": -0.1727932319218255, "fl": -0.17730373991013712, "fr": -0.17429814974317712, "whole": -0.002157399103136811, "left": -0.0010879204568222964, "right": -0.001069478648359759, "delta": -2.0452441823470835e-12, "corrected": -0.002157399105318405, "estimatedError": 1.3634961215647223e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7485826244881928, "b": 0.760854470791278, "fa": -0.1727932319218255, "fm": -0.1697797759919138, "fb": -0.16676230382868917, "fl": -0.1712870663134045, "fr": -0.1682714820918943, "whole": -0.002083503101912012, "left": -0.001051003125560061, "right": -0.0010324999783146254, "delta": -1.9626743806566704e-12, "corrected": -0.002083503104005531, "estimatedError": 1.308449587104447e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.760854470791278, "b": 0.7731263170943632, "fa": -0.16676230382868917, "fm": -0.16374176159987835, "fb": -0.1607190654158699, "fl": -0.1652523585187349, "fr": -0.1622306266517044, "whole": -0.002009409326248937, "left": -0.0010139751061117744, "right": -0.000995434222016727, "delta": -1.8795642126034906e-12, "corrected": -0.0020094093282538054, "estimatedError": 1.253042808402327e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7731263170943632, "b": 0.7853981633974483, "fa": -0.1607190654158699, "fm": -0.15769510198016223, "fb": -0.15467072923954214, "fl": -0.15920718781643134, "fr": -0.1561829142568458, "whole": -0.0019352092170953838, "left": -0.0009768828566606247, "right": -0.0009583263622312786, "delta": -1.7965195303615289e-12, "corrected": -0.0019352092190116712, "estimatedError": 1.197679686907686e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.16782793688727046, "estimatedCumulativeError": 1.61248773746436e-11, "exactCap": -0.16782793688725156, "actualError": -1.890154699424329e-14 }, { "index": 16, "value": -0.0069995933181135365, "estimatedError": 4.249192577659988e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.7853981633974483, "b": 0.7976700097005334, "fa": -0.15467072923954214, "fm": -0.1516467770329202, "fb": -0.1486240477378415, "fl": -0.15315864978481547, "fr": -0.15013521042793562, "whole": -0.001860988441336627, "left": -0.0009397699164590939, "right": -0.0009212185265916029, "delta": -1.7140698582718272e-12, "corrected": -0.001860988443164968, "estimatedError": 1.1427132388478848e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.7976700097005334, "b": 0.8099418560036186, "fa": -0.1486240477378415, "fm": -0.14560331691375816, "fb": -0.14258533394122733, "fl": -0.14711338507453198, "fr": -0.14409393611499513, "whole": -0.0017868271465870317, "left": -0.0009026770333509262, "right": -0.0008841501148687626, "delta": -1.6326571171398907e-12, "corrected": -0.0017868271483285326, "estimatedError": 1.0884380780932605e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8099418560036186, "b": 0.8222137023067038, "fa": -0.14258533394122733, "fm": -0.13957082265626308, "fb": -0.13656048197913945, "fl": -0.14107760007864772, "fr": -0.13806508826540564, "whole": -0.0017128002142092237, "left": -0.0008656422905939063, "right": -0.0008471579251679804, "delta": -1.5526629461304342e-12, "corrected": -0.0017128002158653976, "estimatedError": 1.0351086307536228e-13, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8222137023067038, "b": 0.8344855486097889, "fa": -0.13656048197913945, "fm": -0.13355498653700149, "fb": -0.13055498727970222, "fl": -0.13505708737156313, "fr": -0.13205426010908408, "whole": -0.0016389775091819462, "left": -0.0008287012322650439, "right": -0.0008102762783913013, "delta": -1.47439894494783e-12, "corrected": -0.0016389775107546385, "estimatedError": 9.829326299652201e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.174827530205384, "estimatedCumulativeError": 1.6549796632409598e-11, "exactCap": -0.17482753020536512, "actualError": -1.887379141862766e-14 }, { "index": 17, "value": -0.005823952325156679, "estimatedError": 3.43834336002935e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.8344855486097889, "b": 0.8467573949128739, "fa": -0.13055498727970222, "fm": -0.12756111208833512, "fb": -0.12457396637598783, "fl": -0.1290572458178503, "fr": -0.12606666107036202, "whole": -0.0015654241256540297, "left": -0.0007918869866417425, "right": -0.0007735371404104067, "delta": -1.398119684262178e-12, "corrected": -0.0015654241271453573, "estimatedError": 9.320797895081186e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8467573949128739, "b": 0.859029241215959, "fa": -0.12457396637598783, "fm": -0.12159413368029251, "fb": -0.1186221762473889, "fl": -0.12308310026843865, "fr": -0.12010713623152043, "whole": -0.0014922006272170942, "left": -0.0007552303870515918, "right": -0.000736970241489537, "delta": -1.324034631933202e-12, "corrected": -0.0014922006286293978, "estimatedError": 8.826897546221346e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.859029241215959, "b": 0.8713010875190441, "fa": -0.1186221762473889, "fm": -0.1156586356069703, "fb": -0.11270403313811096, "fl": -0.11713932077621336, "fr": -0.11418018528675834, "whole": -0.0014193632811045312, "left": -0.0007187600897743817, "right": -0.0007006031925824561, "delta": -1.2523066351272094e-12, "corrected": -0.001419363282440325, "estimatedError": 8.348710900848062e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8713010875190441, "b": 0.8835729338221293, "fa": -0.11270403313811096, "fm": -0.10975887062562528, "fb": -0.10682363080673597, "fl": -0.11123024127615633, "fr": -0.10828998093770519, "whole": -0.0013469642856796741, "left": -0.0006825026886592354, "right": -0.0006644615982034928, "delta": -1.1830540887214358e-12, "corrected": -0.0013469642869415985, "estimatedError": 7.887027258142906e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18065148253054067, "estimatedCumulativeError": 1.6893630968412533e-11, "exactCap": -0.18065148253052188, "actualError": -1.8790524691780774e-14 }, { "index": 18, "value": -0.004674251520537262, "estimatedError": 2.7277679536437857e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.8835729338221293, "b": 0.8958447801252145, "fa": -0.10682363080673597, "fm": -0.10389877790786607, "fb": -0.10098475817139875, "fl": -0.10535987768675265, "fr": -0.10244038669248866, "whole": -0.0012750519907143798, "left": -0.0006464828261913587, "right": -0.0006285691656393852, "delta": -1.116364162570549e-12, "corrected": -0.0012750519919051682, "estimatedError": 7.442427750470327e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.8958447801252145, "b": 0.9081166264282996, "fa": -0.10098475817139875, "fm": -0.09808200037228668, "fb": -0.09519091632440432, "fl": -0.09953194539964445, "fr": -0.09663497403998271, "whole": -0.001203671110081315, "left": -0.0006107233008056193, "right": -0.0005929478103279918, "delta": -1.0522960541131665e-12, "corrected": -0.0012036711112037642, "estimatedError": 7.01530702742111e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9081166264282996, "b": 0.9203884727313847, "fa": -0.09519091632440432, "fm": -0.09231190137658021, "fb": -0.08944533489825704, "fl": -0.09374987613349806, "fr": -0.09087703897926895, "whole": -0.0011328629265896786, "left": -0.000575245170299673, "right": -0.0005576177572808807, "delta": -9.908751336801247e-13, "corrected": -0.001132862927646612, "estimatedError": 6.605834224534164e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9203884727313847, "b": 0.9326603190344698, "fa": -0.08944533489825704, "fm": -0.0865915807547556, "fb": -0.08375098777213569, "fl": -0.08801683413591872, "fr": -0.08516961789168, "whole": -0.0010626654887874595, "left": -0.0005400678512469529, "right": -0.0005225976384726233, "delta": -9.321165801018383e-13, "corrected": -0.001062665489781717, "estimatedError": 6.214110534012255e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18532573405107794, "estimatedCumulativeError": 1.7166407763776912e-11, "exactCap": -0.18532573405105912, "actualError": -1.8818280267396403e-14 }, { "index": 19, "value": -0.00356206863010642, "estimatedError": 2.1288883561102849e-13, "evaluations": 17, "converged": true, "leaves": [ { "a": 0.9326603190344698, "b": 0.9449321653375549, "fa": -0.08375098777213569, "fm": -0.08092389019166797, "fb": -0.07811060811395044, "fl": -0.08233573172405728, "fr": -0.07951550274911624, "whole": -0.0009931137996342758, "left": -0.0005052092143524836, "right": -0.00048790458615779764, "delta": -8.76005431388327e-13, "corrected": -0.0009931138005686816, "estimatedError": 5.840036209255514e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9449321653375549, "b": 0.9572040116406401, "fa": -0.07811060811395044, "fm": -0.07531144793270898, "fb": -0.07252670275835167, "fl": -0.07670924416043562, "fr": -0.07391725565777646, "whole": -0.0009242399970178315, "left": -0.00047068567572989027, "right": -0.0004535543221104537, "delta": -8.225125225011509e-13, "corrected": -0.0009242399978951782, "estimatedError": 5.4834168166743396e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9572040116406401, "b": 0.9694758579437253, "fa": -0.07252670275835167, "fm": -0.06975665283134502, "fb": -0.06700156592550036, "fl": -0.07113982386553658, "fr": -0.06837722274107079, "whole": -0.000856073526146594, "left": -0.000436512284109141, "right": -0.00041956124280905296, "delta": -7.715999063642731e-13, "corrected": -0.0008560735269696339, "estimatedError": 5.143999375761821e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 }, { "a": 0.9694758579437253, "b": 0.9817477042468103, "fa": -0.06700156592550036, "fm": -0.0642616977412695, "fb": -0.06153729228915576, "fl": -0.06562971397296953, "fr": -0.06289754736939722, "whole": -0.0007886413039014973, "left": -0.00040270280401056706, "right": -0.00038593850061414487, "delta": -7.232146739116763e-13, "corrected": -0.0007886413046729263, "estimatedError": 4.821431159411175e-14, "tolerance": 7.8125e-13, "accepted": true, "depthUsed": 2 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18888780268118435, "estimatedCumulativeError": 1.737929659938794e-11, "exactCap": -0.1888878026811655, "actualError": -1.8846035843012032e-14 }, { "index": 20, "value": -0.0024957413358190532, "estimatedError": 2.620145058672881e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 0.9817477042468103, "b": 1.0062913968529807, "fa": -0.06153729228915576, "fm": -0.05613578940575364, "fb": -0.05079878951870478, "fl": -0.05882858226335443, "fr": -0.0534591248604188, "whole": -0.0013780434163319791, "left": -0.0007219678752712458, "right": -0.0006560755620306815, "delta": -2.0969948217111622e-11, "corrected": -0.0013780434386999238, "estimatedError": 1.3979965478074416e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.0062913968529807, "b": 1.030835089459151, "fa": -0.05079878951870478, "fm": -0.04552786075421672, "fb": -0.040324417726574094, "fl": -0.04815497435513892, "fr": -0.04291762082827235, "whole": -0.0011176978775647535, "left": -0.0005909846038502327, "right": -0.0005267132920467485, "delta": -1.8332227662981593e-11, "corrected": -0.0011176978971191296, "estimatedError": 1.2221485108654396e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.19138354401700342, "estimatedCumulativeError": 1.999944165806082e-11, "exactCap": -0.19138354401698554, "actualError": -1.787459069646502e-14 }, { "index": 21, "value": -0.001481074458367341, "estimatedError": 1.9904755216756016e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.030835089459151, "b": 1.055378782065321, "fa": -0.040324417726574094, "fm": -0.03518973157208249, "fb": -0.030124939431794364, "fl": -0.03774840593580325, "fr": -0.032648532664714465, "whole": -0.0008639718641321044, "left": -0.0004632780962039839, "right": -0.00040069378390444345, "delta": -1.59763230206042e-11, "corrected": -0.0008639718811735156, "estimatedError": 1.0650882013736132e-12, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.055378782065321, "b": 1.0799224746714913, "fa": -0.030124939431794364, "fm": -0.02513105340379111, "fb": -0.020208968986192333, "fl": -0.027619074547866888, "fr": -0.02266098435898166, "whole": -0.0006171025623876282, "left": -0.00033897353382369375, "right": -0.0002781290424447443, "delta": -1.3880809804529826e-11, "corrected": -0.0006171025771938254, "estimatedError": 9.253873203019884e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.19286461847537076, "estimatedCumulativeError": 2.1989917179736425e-11, "exactCap": -0.19286461847535372, "actualError": -1.7041923427996153e-14 }, { "index": 22, "value": -0.0005219210471814077, "estimatedError": 1.493855164352506e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.0799224746714913, "b": 1.1044661672776614, "fa": -0.020208968986192333, "fm": -0.015359473032237003, "fb": -0.01058325123880742, "fl": -0.017775102309011945, "fr": -0.012962163765282681, "whole": -0.00037727792110797204, "left": -0.000218170624653598, "right": -0.00015910730847824056, "delta": -1.2023866548683398e-11, "corrected": -0.0003772779339334297, "estimatedError": 8.015911032455599e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.1044661672776614, "b": 1.1290098598838318, "fa": -0.01058325123880742, "fm": -0.005880895189608045, "fb": -0.0012529089739431254, "fl": -0.008222806514701083, "fr": -0.0035575775921405702, "whole": -0.00014464310217175298, "left": -0.00010094692423244597, "right": -0.000043696188323267926, "delta": -1.0383960916604193e-11, "corrected": -0.00014464311324797796, "estimatedError": 6.922640611069462e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.19338653952255216, "estimatedCumulativeError": 2.348377234408893e-11, "exactCap": -0.19338653952253568, "actualError": -1.6486811915683575e-14 }, { "index": 23, "value": 0.0003793505012665879, "estimatedError": 1.1075623563538046e-12, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.1290098598838318, "b": 1.1535535524900022, "fa": -0.0012529089739431254, "fm": 0.0033002845983303012, "fb": 0.007778338165568469, "fl": 0.001033060305239254, "fr": 0.005548722797381639, "whole": 0.0000806938018299622, "left": 0.00001263921802300347, "right": 0.00006805457486666546, "delta": -8.94029327565965e-12, "corrected": 0.00008069379229364937, "estimatedError": 5.960195517106433e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.1535535524900022, "b": 1.1780972450961724, "fa": 0.007778338165568469, "fm": 0.012180974347239778, "fb": 0.01650798062195985, "fl": 0.009989098174577417, "fr": 0.014353942105268523, "whole": 0.0002986567171576234, "left": 0.0001225460542486322, "right": 0.0001761106552358491, "delta": -7.67314206964742e-12, "corrected": 0.0002986567089729385, "estimatedError": 5.115428046431613e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.19300718902128558, "estimatedCumulativeError": 2.4591334700442733e-11, "exactCap": -0.19300718902126968, "actualError": -1.5903944827755367e-14 }, { "index": 24, "value": 0.0012214873714833947, "estimatedError": 8.106652502060108e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.1780972450961724, "b": 1.2026409377023426, "fa": 0.01650798062195985, "fm": 0.02075920453228547, "fb": 0.02493454919854034, "fl": 0.018643072679720096, "fr": 0.022856365771502987, "whole": 0.0005091971419820858, "left": 0.00022874614308876525, "right": 0.00028045099232927215, "delta": -6.564048350005125e-12, "corrected": 0.0005091971349804342, "estimatedError": 4.37603223333675e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.2026409377023426, "b": 1.227184630308513, "fa": 0.02493454919854034, "fm": 0.02903396912462691, "fb": 0.033057466279454294, "fl": 0.026993750699402474, "fr": 0.03105520617304035, "whole": 0.0007122902424719528, "left": 0.0003312243334957651, "right": 0.00038106590338025725, "delta": -5.5959304030850365e-12, "corrected": 0.0007122902365029603, "estimatedError": 3.7306202687233577e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.1917857016498022, "estimatedCumulativeError": 2.5401999950648742e-11, "exactCap": -0.1917857016497867, "actualError": -1.5487611193520934e-14 }, { "index": 25, "value": 0.002004064829851844, "estimatedError": 5.849613617566381e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.227184630308513, "b": 1.2517283229146834, "fa": 0.033057466279454294, "fm": 0.03700508643830897, "fb": 0.040876915769181156, "fl": 0.03504075650618976, "fr": 0.03895046808245474, "whole": 0.0009079314352758921, "left": 0.0004299759985508987, "right": 0.0004779554319718793, "delta": -4.753114134919967e-12, "corrected": 0.0009079314302059037, "estimatedError": 3.1687427566133114e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.2517283229146834, "b": 1.2762720155208536, "fa": 0.040876915769181156, "fm": 0.04467307764974855, "fb": 0.04839372970138619, "fl": 0.04278444605867177, "fr": 0.04654283129206463, "whole": 0.0010961334039353335, "left": 0.000525005492540944, "right": 0.0005711279073730833, "delta": -4.021306291429605e-12, "corrected": 0.0010961333996459403, "estimatedError": 2.6808708609530697e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18978163681995033, "estimatedCumulativeError": 2.5986961312405382e-11, "exactCap": -0.18978163681993523, "actualError": -1.509903313490213e-14 }, { "index": 26, "value": 0.0027272649867606663, "estimatedError": 4.15192605412081e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.2762720155208536, "b": 1.3008157081270237, "fa": 0.04839372970138619, "fm": 0.05203906102724065, "fb": 0.05560928964204884, "fl": 0.05022579747786994, "fr": 0.05383354848478189, "whole": 0.0012769235010573565, "left": 0.0006163248066674685, "right": 0.0006605986910023028, "delta": -3.387585134281834e-12, "corrected": 0.0012769234974439323, "estimatedError": 2.2583900895212227e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.3008157081270237, "b": 1.325359400733194, "fa": 0.05560928964204884, "fm": 0.05910466008201043, "fb": 0.06252544118363272, "fl": 0.057366315876221145, "fr": 0.060824356606041685, "whole": 0.0014503414923463913, "left": 0.0007039524009103915, "right": 0.0007463890885956959, "delta": -2.8403039468993807e-12, "corrected": 0.0014503414893167338, "estimatedError": 1.8935359645995872e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.18705437183318968, "estimatedCumulativeError": 2.6402153917817464e-11, "exactCap": -0.1870543718331749, "actualError": -1.479372180313021e-14 }, { "index": 27, "value": 0.003391708426871979, "estimatedError": 2.8889380760307075e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.325359400733194, "b": 1.349903093339364, "fa": 0.06252544118363272, "fm": 0.06587192402105613, "fb": 0.06914441999193383, "fl": 0.06420795087789073, "fr": 0.06751740015801813, "whole": 0.001616437602731567, "left": 0.0007879121916585127, "right": 0.00082852540870404, "delta": -2.3690142729460018e-12, "corrected": 0.0016164376002046185, "estimatedError": 1.579342848630668e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.349903093339364, "b": 1.3744467859455345, "fa": 0.06914441999193383, "fm": 0.07234325904248333, "fb": 0.07546878802285702, "fl": 0.07075302533188127, "fr": 0.0739151649954317, "whole": 0.0017752708287627126, "left": 0.0008682326767158554, "right": 0.0009070381500824643, "delta": -1.96439284110006e-12, "corrected": 0.0017752708266673602, "estimatedError": 1.3095952274000399e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.1836626634063177, "estimatedCumulativeError": 2.6691047725420534e-11, "exactCap": -0.18366266340630308, "actualError": -1.4627188349436437e-14 }, { "index": 28, "value": 0.003998327438661651, "estimatedError": 1.9606558853320818e-13, "evaluations": 9, "converged": true, "leaves": [ { "a": 1.3744467859455345, "b": 1.3989904785517049, "fa": 0.07546878802285702, "fm": 0.07852136916446645, "fb": 0.08150137867138804, "fl": 0.07700417387247625, "fr": 0.08002042134999893, "whole": 0.0019269074851393404, "left": 0.0009449461811711876, "right": 0.0009819613023500215, "delta": -1.618131410113799e-12, "corrected": 0.0019269074834133335, "estimatedError": 1.0787542734091992e-13, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 }, { "a": 1.3989904785517049, "b": 1.423534171157875, "fa": 0.08150137867138804, "fm": 0.08440920541842108, "fb": 0.08724524974880989, "fl": 0.08296429012379235, "fr": 0.08583617494719513, "whole": 0.00207141995665936, "left": 0.0010180882093633618, "right": 0.0010533317459731457, "delta": -1.3228524178843237e-12, "corrected": 0.002071419955248317, "estimatedError": 8.819016119228824e-14, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 1 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.17966433596765605, "estimatedCumulativeError": 2.6887113313953743e-11, "exactCap": -0.17966433596764156, "actualError": -1.4488410471358293e-14 }, { "index": 29, "value": 0.004548271610713584, "estimatedError": 2.0535382422304237e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.423534171157875, "b": 1.4726215563702154, "fa": 0.08724524974880989, "fm": 0.09270364330660698, "fb": 0.09787995143671611, "fl": 0.09000992236505163, "fr": 0.09532684100869512, "whole": 0.004548271643570196, "left": 0.0022088856300175033, "right": 0.002339385982749619, "delta": -3.080307363345636e-11, "corrected": 0.004548271610713584, "estimatedError": 2.0535382422304237e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.17511606435694246, "estimatedCumulativeError": 2.8940651556184166e-11, "exactCap": -0.17511606435693536, "actualError": -7.105427357601002e-15 }, { "index": 30, "value": 0.005042838373785727, "estimatedError": 1.28886664072884e-12, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.4726215563702154, "b": 1.521708941582556, "fa": 0.09787995143671611, "fm": 0.10277768727825769, "fb": 0.10740046055123077, "fl": 0.10036341729116939, "fr": 0.10512321544165788, "whole": 0.005042838394407593, "left": 0.002463005809216209, "right": 0.002579832565858385, "delta": -1.93329996109326e-11, "corrected": 0.005042838373785727, "estimatedError": 1.28886664072884e-12, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.17007322598315675, "estimatedCumulativeError": 3.022951819691301e-11, "exactCap": -0.1700732259831549, "actualError": -1.8318679906315083e-15 }, { "index": 31, "value": 0.005483422608127569, "estimatedError": 7.566738323879403e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.521708941582556, "b": 1.5707963267948966, "fa": 0.10740046055123077, "fm": 0.11175195701855321, "fb": 0.11583592135001264, "fl": 0.10960988554469547, "fr": 0.11382714476477779, "whole": 0.005483422620234351, "left": 0.002689955820059663, "right": 0.0027934667888245804, "delta": -1.1350107485819105e-11, "corrected": 0.005483422608127569, "estimatedError": 7.566738323879403e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.16458980337502918, "estimatedCumulativeError": 3.098619202930095e-11, "exactCap": -0.1645898033750316, "actualError": 2.4147350785597155e-15 }, { "index": 32, "value": 0.005871480706265315, "estimatedError": 3.977028775747904e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.5707963267948966, "b": 1.6198837120072371, "fa": 0.11583592135001264, "fm": 0.11965614292592447, "fb": 0.1232164441752626, "fl": 0.11777876173421878, "fr": 0.12146854367139959, "whole": 0.005871480712628561, "left": 0.002890457955156861, "right": 0.002981022751506157, "delta": -5.965543163621856e-12, "corrected": 0.005871480706265315, "estimatedError": 3.977028775747904e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.15871832266876387, "estimatedCumulativeError": 3.138389490687574e-11, "exactCap": -0.15871832266876923, "actualError": 5.35682609381638e-15 }, { "index": 33, "value": 0.0062085055089015255, "estimatedError": 1.6652212016706375e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.6198837120072371, "b": 1.6689710972195777, "fa": 0.1232164441752626, "fm": 0.1265206710934868, "fb": 0.12957268562985072, "fl": 0.1249003258501807, "fr": 0.1280779630886716, "whole": 0.0062085055115658795, "left": 0.0030652553009695572, "right": 0.00314325020809849, "delta": -2.4978318025059565e-12, "corrected": 0.0062085055089015255, "estimatedError": 1.6652212016706375e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.15250981715986234, "estimatedCumulativeError": 3.15504170270428e-11, "exactCap": -0.15250981715986994, "actualError": 7.605027718682322e-15 }, { "index": 34, "value": 0.006496009349006155, "estimatedError": 2.847675798870834e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.6689710972195777, "b": 1.718058482431918, "fa": 0.12957268562985072, "fm": 0.13237635967328854, "fb": 0.1349355704005897, "fl": 0.13100532296742584, "fr": 0.13368628052401144, "whole": 0.006496009349461783, "left": 0.003215102392189696, "right": 0.003280906956844935, "delta": -4.2715136983062507e-13, "corrected": 0.006496009349006155, "estimatedError": 2.847675798870834e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.14601380781085618, "estimatedCumulativeError": 3.157889378503151e-11, "exactCap": -0.14601380781086537, "actualError": 9.18709552877317e-15 }, { "index": 35, "value": 0.006735513082805191, "estimatedError": 4.2738093157061265e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.718058482431918, "b": 1.7671458676442586, "fa": 0.1349355704005897, "fm": 0.13725419678101033, "fb": 0.13933611705821225, "fl": 0.13612471420338382, "fr": 0.13832450287201153, "whole": 0.006735513082121381, "left": 0.003340759090382116, "right": 0.0033947539923803367, "delta": 6.41071397355919e-13, "corrected": 0.006735513082805191, "estimatedError": 4.2738093157061265e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.139278294728051, "estimatedCumulativeError": 3.162163187818857e-11, "exactCap": -0.13927829472806125, "actualError": 1.0241807402167069e-14 }, { "index": 36, "value": 0.006928539488637725, "estimatedError": 6.699126207469301e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.7671458676442586, "b": 1.8162332528565992, "fa": 0.13933611705821225, "fm": 0.14118520705386445, "fb": 0.14280533915781313, "fl": 0.14028952372875547, "fr": 0.14202365096746059, "whole": 0.0069285394875658645, "left": 0.0034429868222568658, "right": 0.0034855526663138676, "delta": 1.0048689311203951e-12, "corrected": 0.006928539488637725, "estimatedError": 6.699126207469301e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.13234975523941328, "estimatedCumulativeError": 3.168862314026326e-11, "exactCap": -0.13234975523942433, "actualError": 1.1046719095020308e-14 }, { "index": 37, "value": 0.007076609804085303, "estimatedError": 5.921276200841301e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.8162332528565992, "b": 1.8653206380689396, "fa": 0.14280533915781313, "fm": 0.1442003818877197, "fb": 0.14537419991681708, "fl": 0.14353075506546406, "fr": 0.1448147025890553, "whole": 0.007076609803137898, "left": 0.0035225465201644654, "right": 0.0035540632838616244, "delta": 8.881914301261951e-13, "corrected": 0.007076609804085303, "estimatedError": 5.921276200841301e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.12527314543532797, "estimatedCumulativeError": 3.174783590227167e-11, "exactCap": -0.12527314543533957, "actualError": 1.1601830607332886e-14 }, { "index": 38, "value": 0.007181242472147993, "estimatedError": 3.055108249716554e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.8653206380689396, "b": 1.9144080232812801, "fa": 0.14537419991681708, "fm": 0.14633065448220953, "fb": 0.14707360409816564, "fl": 0.14587935642166294, "fr": 0.14672857633340416, "whole": 0.007181242471659175, "left": 0.003580197767415711, "right": 0.0036010447047017304, "delta": 4.582662374574831e-13, "corrected": 0.007181242472147993, "estimatedError": 3.055108249716554e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.11809190296317998, "estimatedCumulativeError": 3.177838698476884e-11, "exactCap": -0.11809190296319177, "actualError": 1.1796119636642288e-14 }, { "index": 39, "value": 0.007243953397948622, "estimatedError": 1.072689391016605e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.9144080232812801, "b": 1.9634954084936207, "fa": 0.14707360409816564, "fm": 0.1476069055093536, "fb": 0.147934414828134, "fl": 0.14736621982187864, "fr": 0.14779614316389297, "whole": 0.007243953398120252, "left": 0.0036166987740337817, "right": 0.003627254623925567, "delta": -1.6090340865249075e-13, "corrected": 0.007243953397948622, "estimatedError": 1.072689391016605e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.11084794956523136, "estimatedCumulativeError": 3.1789113878679e-11, "exactCap": -0.11084794956524335, "actualError": 1.199040866595169e-14 }, { "index": 40, "value": 0.00726625719402183, "estimatedError": 5.854726425891243e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.9634954084936207, "b": 2.012582793705961, "fa": 0.147934414828134, "fm": 0.1480599888080059, "fb": 0.14798748621226185, "fl": 0.14802220262636118, "fr": 0.14804825579207448, "whole": 0.007266257194958586, "left": 0.0036328069027651085, "right": 0.0036334502913152687, "delta": -8.782089638836865e-13, "corrected": 0.00726625719402183, "estimatedError": 5.854726425891243e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.10358169237120954, "estimatedCumulativeError": 3.1847661142937914e-11, "exactCap": -0.1035816923712215, "actualError": 1.1962653090336062e-14 }, { "index": 41, "value": 0.007249669026970837, "estimatedError": 1.0850013017667711e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.012582793705961, "b": 2.061670178918302, "fa": 0.14798748621226185, "fm": 0.14772076924296607, "fb": 0.1472637050006341, "fl": 0.14787816296253292, "fr": 0.14751578860567457, "whole": 0.007249669028706839, "left": 0.0036292795371117574, "right": 0.00362038948996758, "delta": -1.6275019526501566e-12, "corrected": 0.007249669026970837, "estimatedError": 1.0850013017667711e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0963320233442387, "estimatedCumulativeError": 3.195616127311459e-11, "exactCap": -0.09633202334425062, "actualError": 1.1921019726912618e-14 }, { "index": 42, "value": 0.007195706780784787, "estimatedError": 1.5743280521821981e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.061670178918302, "b": 2.110757564130642, "fa": 0.1472637050006341, "fm": 0.14662016694958252, "fb": 0.1457940363678874, "fl": 0.14696500282125832, "fr": 0.14622968280092208, "whole": 0.007195706783303712, "left": 0.0036068751379161306, "right": 0.003588831643026089, "delta": -2.3614920782732973e-12, "corrected": 0.007195706780784787, "estimatedError": 1.5743280521821981e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.08913631656345392, "estimatedCumulativeError": 3.211359407833281e-11, "exactCap": -0.08913631656346577, "actualError": 1.1851630787873546e-14 }, { "index": 43, "value": 0.007105893329893576, "estimatedError": 2.0314276881020868e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.110757564130642, "b": 2.1598449493429825, "fa": 0.1457940363678874, "fm": 0.14478920376435064, "fb": 0.14360957024786983, "fl": 0.1453137142636487, "fr": 0.14422099285058906, "whole": 0.007105893333143861, "left": 0.0035663543766169905, "right": 0.0035395389534797293, "delta": -3.0471415321531303e-12, "corrected": 0.007105893329893576, "estimatedError": 2.0314276881020868e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.08203042323356034, "estimatedCumulativeError": 3.2316736847143015e-11, "exactCap": -0.08203042323357213, "actualError": 1.1782241848834474e-14 }, { "index": 44, "value": 0.006981758773886428, "estimatedError": 2.441396043662003e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.1598449493429825, "b": 2.2089323345553233, "fa": 0.14360957024786983, "fm": 0.14225904883719775, "fb": 0.14074156570133012, "fl": 0.14295542546597906, "fr": 0.1415209315533068, "whole": 0.006981758777792662, "left": 0.00350848126477655, "right": 0.0034732775093540176, "delta": -3.6620940654930045e-12, "corrected": 0.006981758773886428, "estimatedError": 2.441396043662003e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.07504866445967391, "estimatedCumulativeError": 3.256087645150921e-11, "exactCap": -0.0750486644596855, "actualError": 1.1587952819525071e-14 }, { "index": 45, "value": 0.006824842530221929, "estimatedError": 2.7946666971330934e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.2089323345553233, "b": 2.2580197197676637, "fa": 0.14074156570133012, "fm": 0.13906106132270069, "fb": 0.13722149157704053, "fl": 0.1399214442979705, "fr": 0.13816091174947703, "whole": 0.006824842534693396, "left": 0.003434024223253283, "right": 0.003390818307248113, "delta": -4.19200004569964e-12, "corrected": 0.006824842530221929, "estimatedError": 2.7946666971330934e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.06822382192945198, "estimatedCumulativeError": 3.284034312122252e-11, "exactCap": -0.06822382192946347, "actualError": 1.149080830487037e-14 }, { "index": 46, "value": 0.006636695214632002, "estimatedError": 3.0856671384693613e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.2580197197676637, "b": 2.3071071049800045, "fa": 0.13722149157704053, "fm": 0.1352268287252037, "fb": 0.13308106231351474, "fl": 0.1362432978577909, "fr": 0.13417258341978033, "whole": 0.006636695219569069, "left": 0.0033437570522760088, "right": 0.00329293816266456, "delta": -4.628500707704042e-12, "corrected": 0.006636695214632002, "estimatedError": 3.0856671384693613e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.06158712671481997, "estimatedCumulativeError": 3.314890983506946e-11, "exactCap": -0.06158712671483141, "actualError": 1.1435297153639112e-14 }, { "index": 47, "value": 0.006418880263912997, "estimatedError": 3.311746131958356e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.3071071049800045, "b": 2.356194490192345, "fa": 0.13308106231351474, "fm": 0.1307881999802536, "fb": 0.1283522681668246, "fl": 0.1319527669328696, "fr": 0.12958786535399705, "whole": 0.006418880269211791, "left": 0.003238459777081835, "right": 0.0031804204871623363, "delta": -4.967619197937534e-12, "corrected": 0.006418880263912997, "estimatedError": 3.311746131958356e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.055168246450906976, "estimatedCumulativeError": 3.34800844482653e-11, "exactCap": -0.05516824645091817, "actualError": 1.119243586700236e-14 }, { "index": 48, "value": 0.006172975274429158, "estimatedError": 3.472434724020405e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.356194490192345, "b": 2.405281875404685, "fa": 0.1283522681668246, "fm": 0.12577731273293602, "fb": 0.12306739947579388, "fl": 0.12708191476282743, "fr": 0.12443897092890183, "whole": 0.006172975279985053, "left": 0.0031189193537846673, "right": 0.003054055920991734, "delta": -5.208652086030607e-12, "corrected": 0.006172975274429158, "estimatedError": 3.472434724020405e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.04899527117647782, "estimatedCumulativeError": 3.382732792066734e-11, "exactCap": -0.048995271176488886, "actualError": 1.106753577673203e-14 }, { "index": 49, "value": 0.005900573043450006, "estimatedError": 3.5688379335097054e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.405281875404685, "b": 2.454369260617026, "fa": 0.12306739947579388, "fm": 0.12022661455388631, "fb": 0.1172590648164234, "fl": 0.12166310978302065, "fr": 0.11875842779369622, "whole": 0.0059005730491601465, "left": 0.0029859302275610836, "right": 0.0029146428162458056, "delta": -5.353256900264558e-12, "corrected": 0.005900573043450006, "estimatedError": 3.5688379335097054e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.04309469813302781, "estimatedCumulativeError": 3.418421171401831e-11, "exactCap": -0.043094698133038734, "actualError": 1.0921819004749977e-14 }, { "index": 50, "value": 0.005603282310605335, "estimatedError": 3.6031964449160606e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.454369260617026, "b": 2.5034566458293663, "fa": 0.1172590648164234, "fm": 0.11416887803990977, "fb": 0.11096020307367743, "fl": 0.11572904224995108, "fr": 0.11257909145212198, "whole": 0.005603282316370449, "left": 0.00284029474071688, "right": 0.0027629875702487746, "delta": -5.404794667374091e-12, "corrected": 0.005603282310605335, "estimatedError": 3.6031964449160606e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.03749141582242248, "estimatedCumulativeError": 3.4544531358509916e-11, "exactCap": -0.037491415822433205, "actualError": 1.0727529975440575e-14 }, { "index": 51, "value": 0.0052827282041480565, "estimatedError": 3.578560480351397e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.5034566458293663, "b": 2.552544031041707, "fa": 0.11096020307367743, "fm": 0.1076372098964994, "fb": 0.10420408958665014, "fl": 0.1093127348126526, "fr": 0.1059341528691201, "whole": 0.005282728209873753, "left": 0.0026828233921950867, "right": 0.002599904812310826, "delta": -5.367840720527095e-12, "corrected": 0.0052827282041480565, "estimatedError": 3.578560480351397e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.03220868761827442, "estimatedCumulativeError": 3.490238740654505e-11, "exactCap": -0.03220868761828494, "actualError": 1.0519363158323358e-14 }, { "index": 52, "value": 0.004940552402058242, "estimatedError": 3.4985515641923943e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.552544031041707, "b": 2.6016314162540475, "fa": 0.10420408958665014, "fm": 0.1006650542079834, "fb": 0.09702433661476632, "fl": 0.10244754721197259, "fr": 0.098857140329633, "whole": 0.004940552407655925, "left": 0.002514334952981968, "right": 0.0024262174494261287, "delta": -5.247827346288592e-12, "corrected": 0.004940552402058242, "estimatedError": 3.4985515641923943e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.027268135216216176, "estimatedCumulativeError": 3.525224256296429e-11, "exactCap": -0.027268135216226674, "actualError": 1.0498546476611637e-14 }, { "index": 53, "value": 0.004578413021828176, "estimatedError": 3.3671595604338003e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.6016314162540475, "b": 2.650718801466388, "fa": 0.09702433661476632, "fm": 0.0932861901781502, "fb": 0.0894548884372655, "fl": 0.09516717537378405, "fr": 0.09138191584777071, "whole": 0.004578413027215632, "left": 0.0023356564439350387, "right": 0.0022427565782298536, "delta": -5.050739340650701e-12, "corrected": 0.004578413021828176, "estimatedError": 3.3671595604338003e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.022689722194388, "estimatedCumulativeError": 3.558895851900767e-11, "exactCap": -0.022689722194398354, "actualError": 1.0352829704629585e-14 }, { "index": 54, "value": 0.004197984255416968, "estimatedError": 3.18863801103871e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.650718801466388, "b": 2.6998061866787286, "fa": 0.0894548884372655, "fm": 0.08553472467802523, "fb": 0.08153001144278957, "fl": 0.08750564522116058, "fr": 0.08354266647357825, "whole": 0.004197984260518789, "left": 0.0021476229840042232, "right": 0.0020503612717316087, "delta": -4.782957016558065e-12, "corrected": 0.004197984255416968, "estimatedError": 3.18863801103871e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.018491737938971034, "estimatedCumulativeError": 3.590782232011154e-11, "exactCap": -0.01849173793898129, "actualError": 1.0255685189974884e-14 }, { "index": 55, "value": 0.0038009557676756058, "estimatedError": 2.9673861747422e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.6998061866787286, "b": 2.748893571891069, "fa": 0.08153001144278957, "fm": 0.07744507997410092, "fb": 0.07328427959574169, "fl": 0.07949730157100222, "fr": 0.07537389087775205, "whole": 0.003800955772423424, "left": 0.0019510775178147857, "right": 0.001849878250157559, "delta": -4.4510792621133e-12, "corrected": 0.0038009557676756058, "estimatedError": 2.9673861747422e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.014690782171295429, "estimatedCumulativeError": 3.6204560937585763e-11, "exactCap": -0.014690782171305539, "actualError": 1.0109968417992832e-14 }, { "index": 56, "value": 0.003389031877729916, "estimatedError": 2.707899009191106e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.748893571891069, "b": 2.7979809571034093, "fa": 0.07328427959574169, "fm": 0.06905197703439982, "fb": 0.06475255568524717, "fl": 0.07117679250743754, "fr": 0.06691038161616751, "whole": 0.0033890318820625543, "left": 0.0017468704322376597, "right": 0.001642161445763046, "delta": -4.061848513786659e-12, "corrected": 0.003389031877729916, "estimatedError": 2.707899009191106e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.011301750293565513, "estimatedCumulativeError": 3.6475350838504874e-11, "exactCap": -0.011301750293575774, "actualError": 1.0260889360402814e-14 }, { "index": 57, "value": 0.0029639305435503363, "estimatedError": 2.4147052991400444e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.7979809571034093, "b": 2.84706834231575, "fa": 0.06475255568524717, "fm": 0.06039041482475301, "fb": 0.05596996877406233, "fl": 0.06257904964132838, "fr": 0.05818720348926457, "whole": 0.0029639305474138647, "left": 0.0015358590719921235, "right": 0.0014280714717996832, "delta": -3.622057948710067e-12, "corrected": 0.0029639305435503363, "estimatedError": 2.4147052991400444e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.008337819750015176, "estimatedCumulativeError": 3.671682136841888e-11, "exactCap": -0.008337819750025177, "actualError": 1.0000680839006293e-14 }, { "index": 58, "value": 0.002527382170365164, "estimatedError": 2.0923575372311375e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.84706834231575, "b": 2.8961557275280905, "fa": 0.05596996877406233, "fm": 0.0514956460162713, "fb": 0.046971888270935874, "fl": 0.05373926467518828, "fr": 0.04923966841865502, "whole": 0.0025273821737129363, "left": 0.001318907164570801, "right": 0.0012084750060035987, "delta": -3.1385363058467064e-12, "corrected": 0.002527382170365164, "estimatedError": 2.0923575372311375e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.005810437579650012, "estimatedCumulativeError": 3.6926057122141994e-11, "exactCap": -0.005810437579659933, "actualError": 9.92088355911136e-15 }, { "index": 59, "value": 0.0020811282637798693, "estimatedError": 1.7453859538218984e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.8961557275280905, "b": 2.945243112740431, "fa": 0.046971888270935874, "fm": 0.04240314952914118, "fb": 0.0377938950524585, "fl": 0.044692862697936514, "fr": 0.04010330726661866, "whole": 0.002081128266572487, "left": 0.001096884164903604, "right": 0.000984244099050804, "delta": -2.618078930732848e-12, "corrected": 0.0020811282637798693, "estimatedError": 1.7453859538218984e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0037293093158701426, "estimatedCumulativeError": 3.710059571752418e-11, "exactCap": -0.003729309315880003, "actualError": 9.860168237452172e-15 }, { "index": 60, "value": 0.0016269199485268913, "estimatedError": 1.3783139849362265e-13, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.945243112740431, "b": 2.9943304979527716, "fa": 0.0377938950524585, "fm": 0.03314860033910688, "fb": 0.02847175006063073, "fl": 0.03547547263574675, "fr": 0.03081383902483143, "whole": 0.0016269199507321936, "left": 0.0008706645302211175, "right": 0.0007562554184436051, "delta": -2.06747097740434e-12, "corrected": 0.0016269199485268913, "estimatedError": 1.3783139849362265e-13, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0021023893673432514, "estimatedCumulativeError": 3.72384271160178e-11, "exactCap": -0.00210238936735313, "actualError": 9.878816514818922e-15 }, { "index": 61, "value": 0.0011665163737442006, "estimatedError": 9.956342752563222e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.9943304979527716, "b": 3.043417883165112, "fa": 0.02847175006063073, "fm": 0.023767836972395304, "fb": 0.01904136080119349, "fl": 0.026122895285023345, "fr": 0.02140713779775263, "whole": 0.0011665163753372153, "left": 0.000641126935574501, "right": 0.0005253894382692628, "delta": -1.4934514128844834e-12, "corrected": 0.0011665163737442006, "estimatedError": 9.956342752563222e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0009358729935990508, "estimatedCumulativeError": 3.733799054354344e-11, "exactCap": -0.0009358729936089216, "actualError": 9.87079341874253e-15 }, { "index": 62, "value": 0.0007016830256027207, "estimatedError": 6.018256639567232e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.043417883165112, "b": 3.0925052683774528, "fa": 0.01904136080119349, "fm": 0.01429682711325148, "fb": 0.009538746165911662, "fl": 0.016671069352125145, "fr": 0.011919198004356991, "whole": 0.0007016830265656418, "left": 0.000409153440432956, "right": 0.00029252958522994727, "delta": -9.027384959350848e-13, "corrected": 0.0007016830256027207, "estimatedError": 6.018256639567232e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": -0.0002341899679963301, "estimatedCumulativeError": 3.739817310993911e-11, "exactCap": -0.00023418996800617098, "actualError": 9.84086943878193e-15 }, { "index": 63, "value": 0.00023418996800620212, "estimatedError": 2.0134962490717112e-14, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.0925052683774528, "b": 3.141592653589793, "fa": 0.009538746165911662, "fm": 0.004771631746264788, "fb": 2.3812576650087424e-17, "fl": 0.007156035922523742, "fr": 0.0023860982198929876, "whole": 0.00023418996832836152, "left": 0.0001756286167331871, "right": 0.00005856135129314998, "delta": -3.020244373607567e-13, "corrected": 0.00023418996800620212, "estimatedError": 2.0134962490717112e-14, "tolerance": 3.125e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 9.872013146186576e-15, "estimatedCumulativeError": 3.7418308072429825e-11, "exactCap": 0, "actualError": 9.872013146186576e-15 } ], "force": { "imageField": { "potential": -0.08333333333333331, "ex": 0, "ez": -0.09722222222222221, "terms": [ { "role": "image", "distance": 1.5, "potential": -0.3333333333333333, "ex": 0, "ez": -0.2222222222222222 }, { "role": "central-image", "distance": 2, "potential": 0.25, "ex": 0, "ez": 0.125 } ] }, "force": -0.09722222222222221, "expectedForce": -0.09722222222222221, "forceResidual": 0, "energy": -0.041666666666666664, "groundEnergy": -0.16666666666666666, "energyScope": "U(infty)=0的相互作用能；去除点源自能和与间距无关的导体自能。孤立球保持Q固定。" }, "forceScan": [ { "gap": 0.05, "d": 1.05, "force": -99.07667400170628, "energy": -4.42453404125878, "step": 0.000105, "energySamples": [ -4.445428659085406, -4.434959174504199, -4.414152980357092, -4.403815715140906 ], "negativeNumericalDerivative": -99.07667399393003, "derivativeResidual": -7.776250754432112e-9 }, { "gap": 0.13229166666666667, "d": 1.1322916666666667, "force": -13.540992604551517, "energy": -1.382529110932847, "step": 0.00011322916666666667, "energySamples": [ -1.3856010804805199, -1.3840637197876124, -1.380997246804042, -1.3794681203133494 ], "negativeNumericalDerivative": -13.540992604522051, "derivativeResidual": -2.9466207251971355e-11 }, { "gap": 0.21458333333333335, "d": 1.2145833333333333, "force": -4.820269843812931, "energy": -0.7132263095548722, "step": 0.00012145833333333334, "energySamples": [ -0.7143986861120963, -0.713812134454647, -0.7126412101519626, -0.7120568349879745 ], "negativeNumericalDerivative": -4.820269843810291, "derivativeResidual": -2.6405544417684723e-12 }, { "gap": 0.29687500000000006, "d": 1.296875, "force": -2.330713006217477, "energy": -0.43597619809014887, "step": 0.0001296875, "energySamples": [ -0.4365813330655544, -0.4362786139364136, -0.43567408511244266, -0.4353722745897108 ], "negativeNumericalDerivative": -2.3307130062160497, "derivativeResidual": -1.4273027204581012e-12 }, { "gap": 0.37916666666666665, "d": 1.3791666666666667, "force": -1.3135569590177185, "energy": -0.29139458907337984, "step": 0.00013791666666666667, "energySamples": [ -0.2917572280906904, -0.2915758294956475, -0.2912135066398024, -0.2910325820111036 ], "negativeNumericalDerivative": -1.313556959017476, "derivativeResidual": -2.424727085781342e-13 }, { "gap": 0.4614583333333333, "d": 1.4614583333333333, "force": -0.8123944980269102, "energy": -0.2060972261056469, "step": 0.00014614583333333333, "energySamples": [ -0.20633487021155444, -0.20621600115131064, -0.2059785449769877, -0.2058599576678857 ], "negativeNumericalDerivative": -0.8123944980269983, "derivativeResidual": 8.804068585277491e-14 }, { "gap": 0.5437500000000001, "d": 1.5437500000000002, "force": -0.5351060343116043, "energy": -0.1516849059410614, "step": 0.00015437500000000003, "energySamples": [ -0.15185024161883023, -0.15176754334785822, -0.15160232934044401, -0.1515198134880793 ], "negativeNumericalDerivative": -0.5351060343118084, "derivativeResidual": 2.0405899192610377e-13 }, { "gap": 0.6260416666666667, "d": 1.6260416666666666, "force": -0.36902211466736734, "energy": -0.1150275348884005, "step": 0.00016260416666666666, "energySamples": [ -0.11514762761125501, -0.11508756032960933, -0.11496755125029894, -0.11490760937801654 ], "negativeNumericalDerivative": -0.3690221146673894, "derivativeResidual": 2.2037927038809357e-14 }, { "gap": 0.7083333333333334, "d": 1.7083333333333335, "force": -0.26360958319841943, "energy": -0.08930689284820229, "step": 0.00017083333333333336, "energySamples": [ -0.08939701957833847, -0.0893519411783885, -0.08926187456231033, -0.08921688629526983 ], "negativeNumericalDerivative": -0.2636095831984252, "derivativeResidual": 5.773159728050814e-15 }, { "gap": 0.7906250000000001, "d": 1.7906250000000001, "force": -0.1936662912846813, "energy": -0.07067872290255428, "step": 0.00017906250000000002, "energySamples": [ -0.07074812435705075, -0.07071341244829173, -0.07064405570167341, -0.07060941082750212 ], "negativeNumericalDerivative": -0.1936662912846525, "derivativeResidual": -2.881028748902281e-14 }, { "gap": 0.8729166666666667, "d": 1.8729166666666668, "force": -0.1455909535147241, "energy": -0.05683780284351839, "step": 0.0001872916666666667, "energySamples": [ -0.05689237295945898, -0.05686507935643506, -0.05681054340729526, -0.056783301034364776 ], "negativeNumericalDerivative": -0.14559095351466875, "derivativeResidual": -5.5344617777564054e-14 }, { "gap": 0.9552083333333334, "d": 1.9552083333333334, "force": -0.11158038284117103, "energy": -0.046333778671494755, "step": 0.00019552083333333335, "energySamples": [ -0.04637743794992018, -0.04635560163412144, -0.046311969051854196, -0.04629017276502328 ], "negativeNumericalDerivative": -0.11158038284115486, "derivativeResidual": -1.6167622796103842e-14 }, { "gap": 1.0375, "d": 2.0375, "force": -0.08693377004823165, "energy": -0.03821821308688243, "step": 0.00020375000000000002, "energySamples": [ -0.03825365984776734, -0.03823593115360798, -0.03820050563967635, -0.03818280880408252 ], "negativeNumericalDerivative": -0.0869337700483541, "derivativeResidual": 1.2245759961615477e-13 }, { "gap": 1.1197916666666667, "d": 2.119791666666667, "force": -0.06870372909445131, "energy": -0.03185083471620877, "step": 0.0002119791666666667, "energySamples": [ -0.03187997941247345, -0.031865402768850144, -0.03183627524828092, -0.03182172435880359 ], "negativeNumericalDerivative": -0.06870372909441862, "derivativeResidual": -3.269606807521086e-14 }, { "gap": 1.2020833333333334, "d": 2.2020833333333334, "force": -0.05497950409569115, "energy": -0.02678769210572013, "step": 0.00022020833333333335, "energySamples": [ -0.026811920068845564, -0.02679980256814248, -0.02677558867653232, -0.02676349227553718 ], "negativeNumericalDerivative": -0.05497950409570372, "derivativeResidual": 1.2573275753879898e-14 }, { "gap": 1.284375, "d": 2.284375, "force": -0.04448673696155962, "energy": -0.022713843325162325, "step": 0.0002284375, "energySamples": [ -0.022734179867556034, -0.022724008679561356, -0.02270368380023949, -0.02269353010067692 ], "negativeNumericalDerivative": -0.04448673696152681, "derivativeResidual": -3.281402927157728e-14 }, { "gap": 1.3666666666666667, "d": 2.3666666666666667, "force": -0.036354489862402126, "energy": -0.019401401145238365, "step": 0.00023666666666666668, "energySamples": [ -0.019418618704175244, -0.01941000748237219, -0.01939279968936983, -0.01938420311136551 ], "negativeNumericalDerivative": -0.036354489862374925, "derivativeResidual": -2.7200464103316335e-14 }, { "gap": 1.4489583333333336, "d": 2.4489583333333336, "force": -0.029974725368493813, "energy": -0.0166825858137206, "step": 0.00024489583333333335, "energySamples": [ -0.01669727543695346, -0.016689928561728944, -0.016675247190085635, -0.016667912687983615 ], "negativeNumericalDerivative": -0.029974725368482755, "derivativeResidual": -1.1057127435876168e-14 }, { "gap": 1.5312500000000002, "d": 2.53125, "force": -0.02491491260458719, "energy": -0.014431961324211064, "step": 0.000253125, "energySamples": [ -0.014444581528039345, -0.01443826966839513, -0.014425656493090508, -0.01441935517263881 ], "negativeNumericalDerivative": -0.024914912604587374, "derivativeResidual": 1.8388068845354155e-16 }, { "gap": 1.6135416666666667, "d": 2.6135416666666664, "force": -0.02086219902232158, "energy": -0.012554455922542875, "step": 0.0002613541666666667, "energySamples": [ -0.012565366798818086, -0.012559909852592182, -0.012549005006632648, -0.012543557102825618 ], "negativeNumericalDerivative": -0.02086219902233616, "derivativeResidual": 1.4578616092109087e-14 }, { "gap": 1.6958333333333333, "d": 2.6958333333333333, "force": -0.017586894813228823, "energy": -0.010977119214500763, "step": 0.0002695833333333333, "energySamples": [ -0.010986606690469627, -0.010981861650065396, -0.010972379382030379, -0.010967642150910296 ], "negativeNumericalDerivative": -0.017586894813235134, "derivativeResidual": 6.310924005603624e-15 }, { "gap": 1.7781250000000002, "d": 2.778125, "force": -0.014918082739306275, "energy": -0.009643347755030252, "step": 0.0002778125, "energySamples": [ -0.009651641139885845, -0.00964749331592373, -0.009639204455700136, -0.0096350634164293 ], "negativeNumericalDerivative": -0.01491808273932108, "derivativeResidual": 1.4804130143986072e-14 }, { "gap": 1.8604166666666668, "d": 2.8604166666666666, "force": -0.012727018036276044, "energy": -0.008508774246161087, "step": 0.00028604166666666665, "energySamples": [ -0.00851605911399271, -0.008512415691626632, -0.00850513477628979, -0.008501497280707477 ], "negativeNumericalDerivative": -0.012727018036269622, "derivativeResidual": -6.42194630806614e-15 }, { "gap": 1.9427083333333335, "d": 2.9427083333333335, "force": -0.010915637340956352, "energy": -0.0075382981813940896, "step": 0.00029427083333333334, "energySamples": [ -0.00754472595922086, -0.007541511202509087, -0.007535086894735856, -0.00753187734139526 ], "negativeNumericalDerivative": -0.010915637340956052, "derivativeResidual": -3.0010716134398763e-16 }, { "gap": 2.0250000000000004, "d": 3.0250000000000004, "force": -0.009408481172687132, "energy": -0.006703912452015108, "step": 0.00030250000000000003, "energySamples": [ -0.006709607644070303, -0.006706759282639565, -0.006701067151196862, -0.006698223379185541 ], "negativeNumericalDerivative": -0.009408481172689019, "derivativeResidual": 1.887379141862766e-15 }, { "gap": 2.1072916666666663, "d": 3.1072916666666663, "force": -0.008146935926918814, "energy": -0.005983093226557669, "step": 0.0003107291666666667, "energySamples": [ -0.005988158919129156, -0.0059856253948593315, -0.005980562413342696, -0.005978032954333603 ], "negativeNumericalDerivative": -0.008146935926927633, "derivativeResidual": 8.819334151866087e-15 }, { "gap": 2.189583333333333, "d": 3.189583333333333, "force": -0.007085076385824042, "energy": -0.0053575938304660465, "step": 0.0003189583333333333, "energySamples": [ -0.005362115930016297, -0.005359854277301298, -0.005355334588730147, -0.005353076551313804 ], "negativeNumericalDerivative": -0.007085076385818262, "derivativeResidual": -5.780098621954721e-15 }, { "gap": 2.271875, "d": 3.271875, "force": -0.006186628275293416, "energy": -0.004812531983908302, "step": 0.0003271875, "energySamples": [ -0.0048165825110829084, -0.004814556709305725, -0.00481050833419693, -0.004808485759478422 ], "negativeNumericalDerivative": -0.006186628275291849, "derivativeResidual": -1.5673226605450452e-15 }, { "gap": 2.3541666666666665, "d": 3.3541666666666665, "force": -0.005422724844862805, "energy": -0.004335692489949019, "step": 0.00033541666666666664, "energySamples": [ -0.004339332162346716, -0.004337511844091113, -0.004333874099301426, -0.0043320566715298 ], "negativeNumericalDerivative": -0.005422724844863057, "derivativeResidual": 2.5240226575462543e-16 }, { "gap": 2.4364583333333334, "d": 3.4364583333333334, "force": -0.004770233113278406, "energy": -0.00391698982608151, "step": 0.00034364583333333334, "energySamples": [ -0.0039202700998918, -0.003918629529808385, -0.003915350988156874, -0.003913713015480595 ], "negativeNumericalDerivative": -0.004770233113280024, "derivativeResidual": 1.6176296413483726e-15 }, { "gap": 2.51875, "d": 3.51875, "force": -0.004210493366646549, "energy": -0.003548050575416363, "step": 0.000351875, "energySamples": [ -0.003551015271553358, -0.003549532533044289, -0.0035465693981715737, -0.0035450890008122877 ], "negativeNumericalDerivative": -0.004210493366643742, "derivativeResidual": -2.806782584130474e-15 }, { "gap": 2.6010416666666667, "d": 3.6010416666666667, "force": -0.003728361543701885, "energy": -0.003221886490280237, "step": 0.00036010416666666667, "energySamples": [ -0.0032245730987426986, -0.003223229441584399, -0.0032205442443813967, -0.003219202703439397 ], "negativeNumericalDerivative": -0.0037283615437005246, "derivativeResidual": -1.360456886034811e-15 }, { "gap": 2.683333333333333, "d": 3.683333333333333, "force": -0.0033114757578223755, "energy": -0.0029326366823516402, "step": 0.0003683333333333333, "energySamples": [ -0.0029350774154054808, -0.0029338567289995433, -0.0029314172750561102, -0.0029301985067075884 ], "negativeNumericalDerivative": -0.0033114757578215303, "derivativeResidual": -8.452440136696993e-16 }, { "gap": 2.7656249999999996, "d": 3.7656249999999996, "force": -0.0029496901748952246, "energy": -0.0026753629561837573, "step": 0.0003765625, "energySamples": [ -0.002677585604010889, -0.0026764739894324925, -0.0026742525038970138, -0.002673142632204866 ], "negativeNumericalDerivative": -0.0029496901748949094, "derivativeResidual": -3.152859917587847e-16 }, { "gap": 2.847916666666667, "d": 3.847916666666667, "force": -0.002634634905475726, "energy": -0.0024458863036107502, "step": 0.0003847916666666667, "energySamples": [ -0.0024479149335246936, -0.002446900353811712, -0.0024448727825877145, -0.0024438597904087567 ], "negativeNumericalDerivative": -0.002634634905477213, "derivativeResidual": 1.4870916997811179e-15 }, { "gap": 2.9302083333333333, "d": 3.9302083333333333, "force": -0.002359371534551586, "energy": -0.0022406555021475126, "step": 0.00039302083333333333, "energySamples": [ -0.0022425110331104996, -0.0022415830259208533, -0.002239728461486143, -0.0022388019036326374 ], "negativeNumericalDerivative": -0.0023593715345496696, "derivativeResidual": -1.9164357600853776e-15 }, { "gap": 3.0125, "d": 4.0125, "force": -0.0021181217764842577, "energy": -0.0020566409190296933, "step": 0.00040125, "energySamples": [ -0.0020583415961533255, -0.00205749103644569, -0.0020557912436274736, -0.002054942009961375 ], "negativeNumericalDerivative": -0.0021181217764860392, "derivativeResidual": 1.781561009828181e-15 }, { "gap": 3.0947916666666666, "d": 4.094791666666667, "force": -0.0019060524355808614, "energy": -0.0018912482284737734, "step": 0.00040947916666666666, "energySamples": [ -0.0018928100168319703, -0.0018920289199024116, -0.0018904679422918024, -0.0018896880611024328 ], "negativeNumericalDerivative": -0.001906052435581224, "derivativeResidual": 3.625572064791527e-16 }, { "gap": 3.177083333333333, "d": 4.177083333333333, "force": -0.001719104009858901, "energy": -0.00174224795397226, "step": 0.0004177083333333333, "energySamples": [ -0.0017436848669610077, -0.0017429662242159755, -0.0017415300559967233, -0.0017408125300563998 ], "negativeNumericalDerivative": -0.0017191040098573926, "derivativeResidual": -1.5083420623618338e-15 }, { "gap": 3.259375, "d": 4.259375, "force": -0.0015538533362655805, "energy": -0.001607717657186097, "step": 0.00042593750000000005, "energySamples": [ -0.001609042031511114, -0.0016083796729343541, -0.0016070559840521493, -0.0016063946533184685 ], "negativeNumericalDerivative": -0.0015538533362666296, "derivativeResidual": 1.049074022096974e-15 }, { "gap": 3.3416666666666663, "d": 4.341666666666667, "force": -0.0014074029466529907, "energy": -0.0014859942871149427, "step": 0.0004341666666666667, "energySamples": [ -0.001487217014043173, -0.0014866054925371348, -0.0014853833975794258, -0.0014847728237335595 ], "negativeNumericalDerivative": -0.001407402946652122, "derivativeResidual": -8.686627805953862e-16 }, { "gap": 3.4239583333333337, "d": 4.423958333333333, "force": -0.001277291501362035, "energy": -0.001375634733293153, "step": 0.0004423958333333333, "energySamples": [ -0.001376765453895949, -0.00137619994763262, -0.0013750698106957254, -0.0013745051796586478 ], "negativeNumericalDerivative": -0.0012772915013619793, "derivativeResidual": -5.572799166575493e-17 }, { "gap": 3.50625, "d": 4.50625, "force": -0.0011614209450351055, "energy": -0.0012753830352900575, "step": 0.00045062499999999996, "energySamples": [ -0.0012764303059080223, -0.0012759065355732277, -0.0012748598048905487, -0.0012743368442068672 ], "negativeNumericalDerivative": -0.00116142094503529, "derivativeResidual": 1.8453120975703285e-16 }, { "gap": 3.5885416666666665, "d": 4.588541666666666, "force": -0.0010579969974613967, "energy": -0.001184143017549851, "step": 0.00045885416666666665, "energySamples": [ -0.0011851144505266298, -0.0011846286089334426, -0.001183657676220446, -0.0011831725847899325 ], "negativeNumericalDerivative": -0.001057996997462129, "derivativeResidual": 7.322701472967097e-16 }, { "gap": 3.6708333333333334, "d": 4.670833333333333, "force": -0.0009654803305058392, "energy": -0.0011009553656134913, "step": 0.00046708333333333335, "energySamples": [ -0.00110185774940703, -0.0011014064414233875, -0.0011005045218333172, -0.0011000539099389455 ], "negativeNumericalDerivative": -0.0009654803305045732, "derivativeResidual": -1.2660228768113235e-15 }, { "gap": 3.753125, "d": 4.753125, "force": -0.0008825463484817362, "energy": -0.0010249783534332195, "step": 0.0004753125, "energySamples": [ -0.0010258177554638077, -0.0010253979465742148, -0.001024558975907148, -0.0010241398138624222 ], "negativeNumericalDerivative": -0.0008825463484811413, "derivativeResidual": -5.949017320427963e-16 }, { "gap": 3.8354166666666667, "d": 4.835416666666667, "force": -0.0008080519262374797, "energy": -0.0009554715841293376, "step": 0.00048354166666666673, "energySamples": [ -0.0009562534391230675, -0.0009558624112446417, -0.000955080957652909, -0.0009546905316911969 ], "negativeNumericalDerivative": -0.0008080519262371184, "derivativeResidual": -3.612561638721701e-16 }, { "gap": 3.917708333333333, "d": 4.917708333333334, "force": -0.0007410077981551081, "energy": -0.0008917822274399997, "step": 0.0004917708333333334, "energySamples": [ -0.0008925114135422508, -0.0008921467269574871, -0.0008914179148741418, -0.0008910537891443506 ], "negativeNumericalDerivative": -0.0007410077981549584, "derivativeResidual": -1.4972832002024816e-16 }, { "gap": 4.000000000000001, "d": 5.000000000000001, "force": -0.0006805555555555575, "energy": -0.0008333333333333325, "step": 0.0005000000000000001, "energySamples": [ -0.0008340142378751944, -0.0008336736983397197, -0.000832993142748249, -0.0008326531264767601 ], "negativeNumericalDerivative": -0.0006805555555551999, "derivativeResidual": -3.5756987648571936e-16 } ], "far": [ { "radius": 4, "theta": 0, "x": 0, "z": 4, "direct": { "potential": 0.48214285714285715, "ex": 0, "ez": 0.24043367346938777, "terms": [ { "role": "real", "distance": 2, "potential": 0.5, "ex": 0, "ez": 0.25 }, { "role": "image", "distance": 3.5, "potential": -0.14285714285714285, "ex": 0, "ez": -0.04081632653061224 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0, "ez": 0.03125 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.48214285714285715, "error": -0.23214285714285715, "absoluteError": 0.23214285714285715, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 1, "moment": 1.75, "term": 0.109375, "partial": 0.359375, "direct": 0.48214285714285715, "error": -0.12276785714285715, "absoluteError": 0.12276785714285715, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 1, "moment": 3.875, "term": 0.060546875, "partial": 0.419921875, "direct": 0.48214285714285715, "error": -0.06222098214285715, "absoluteError": 0.06222098214285715, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001953125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 1, "moment": 7.9375, "term": 0.031005859375, "partial": 0.450927734375, "direct": 0.48214285714285715, "error": -0.03121512276785715, "absoluteError": 0.03121512276785715, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000244140625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 1, "moment": 15.96875, "term": 0.015594482421875, "partial": 0.466522216796875, "direct": 0.48214285714285715, "error": -0.01562064034598215, "absoluteError": 0.01562064034598215, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000030517578125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 1, "moment": 31.984375, "term": 0.007808685302734375, "partial": 0.4743309020996094, "direct": 0.48214285714285715, "error": -0.007811955043247776, "absoluteError": 0.007811955043247776, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0078125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000003814697265625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 1, "moment": 63.9921875, "term": 0.003905773162841797, "partial": 0.47823667526245117, "direct": 0.48214285714285715, "error": -0.003906181880405979, "absoluteError": 0.003906181880405979, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00390625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.76837158203125e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 1, "moment": 127.99609375, "term": 0.0019530653953552246, "partial": 0.4801897406578064, "direct": 0.48214285714285715, "error": -0.0019531164850507543, "absoluteError": 0.0019531164850507543, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001953125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.960464477539063e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 1, "moment": 255.998046875, "term": 0.0009765550494194031, "partial": 0.4811662957072258, "direct": 0.48214285714285715, "error": -0.0009765614356313512, "absoluteError": 0.0009765614356313512, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.450580596923828e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 1, "moment": 511.9990234375, "term": 0.0004882803186774254, "partial": 0.4816545760259032, "direct": 0.48214285714285715, "error": -0.00048828111695392584, "absoluteError": 0.00048828111695392584, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00048828125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -9.313225746154785e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 1, "moment": 1023.99951171875, "term": 0.00024414050858467817, "partial": 0.4818987165344879, "direct": 0.48214285714285715, "error": -0.00024414060836924767, "absoluteError": 0.00024414060836924767, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000244140625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.1641532182693481e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 1, "moment": 2047.999755859375, "term": 0.00012207029794808477, "partial": 0.482020786832436, "direct": 0.48214285714285715, "error": -0.0001220703104211629, "absoluteError": 0.0001220703104211629, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.4551915228366852e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 1, "moment": 4095.9998779296875, "term": 0.000061035154431010596, "partial": 0.482081821986867, "direct": 0.48214285714285715, "error": -0.0000610351559901523, "absoluteError": 0.0000610351559901523, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00006103515625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.8189894035458565e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.04908738521234052, "x": 0.19627069730967206, "z": 3.9951818248206896, "direct": { "potential": 0.48097073475269636, "ex": 0.023603430051636336, "ez": 0.23808231620396264, "terms": [ { "role": "real", "distance": 2.0048123854159625, "potential": 0.4987997915787606, "ex": 0.024357586608545412, "ez": 0.2476060602219645 }, { "role": "image", "distance": 3.5006882430715405, "potential": -0.14282905682606423, "ex": -0.002287521379640888, "ez": -0.040736102024413495 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.001533364822731813, "ez": 0.031212358006411638 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.48097073475269636, "error": -0.23097073475269636, "absoluteError": 0.23097073475269636, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9987954562051724, "moment": 1.75, "term": 0.10924325302244073, "partial": 0.35924325302244076, "direct": 0.48097073475269636, "error": -0.1217274817302556, "absoluteError": 0.1217274817302556, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12484943202564655 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015606179003205819 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 3.875, "term": 0.060328212685798, "partial": 0.4195714657082387, "direct": 0.48097073475269636, "error": -0.06139926904445764, "absoluteError": 0.06139926904445764, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06227428406275923 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019460713769612259 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.9927836148049279, "moment": 7.9375, "term": 0.030782109150445765, "partial": 0.4503535748586845, "direct": 0.48097073475269636, "error": -0.03061715989401187, "absoluteError": 0.03061715989401187, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.031024487962653998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00024237881220823436 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 15.96875, "term": 0.015407148669529743, "partial": 0.46576072352821424, "direct": 0.48097073475269636, "error": -0.015210011224482123, "absoluteError": 0.015210011224482123, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015437299645399664 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00003015097586992122 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.9820078944232723, "moment": 31.984375, "term": 0.007668190612352136, "partial": 0.47342891414056637, "direct": 0.48097073475269636, "error": -0.00754182061212999, "absoluteError": 0.00754182061212999, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.007671936675181815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000037460628296786205 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 63.9921875, "term": 0.003807568593219541, "partial": 0.47723648273378594, "direct": 0.48097073475269636, "error": -0.0037342520189104222, "absoluteError": 0.0037342520189104222, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0038080334410517005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.648478321596314e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.966546082686236, "moment": 127.99609375, "term": 0.001887727707110637, "partial": 0.47912421044089654, "direct": 0.48097073475269636, "error": -0.0018465243117998242, "absoluteError": 0.0018465243117998242, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0018877853177465547 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.761063591755843e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 255.998046875, "term": 0.0009346524891855369, "partial": 0.4800588629300821, "direct": 0.48097073475269636, "error": -0.000911871822614263, "absoluteError": 0.000911871822614263, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009346596200725309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.13088699396157e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.9465097121190144, "moment": 511.9990234375, "term": 0.00046216206386475047, "partial": 0.48052102499394683, "direct": 0.48097073475269636, "error": -0.000449709758749528, "absoluteError": 0.000449709758749528, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0004621629453706125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -8.815058619892358e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 1023.99951171875, "term": 0.00022822741402575585, "partial": 0.4807492524079726, "direct": 0.48097073475269636, "error": -0.00022148234472374462, "absoluteError": 0.00022148234472374462, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00022822752285311926 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.0882736342102016e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.9220431656352109, "moment": 2047.999755859375, "term": 0.00011255408395008548, "partial": 0.48086180649192267, "direct": 0.48097073475269636, "error": -0.00010892826077368856, "absoluteError": 0.00010892826077368856, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00011255409736757946 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.3417493983218606e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 4095.9998779296875, "term": 0.000055432273679328685, "partial": 0.480917238765602, "direct": 0.48097073475269636, "error": -0.000053495987094365205, "absoluteError": 0.000053495987094365205, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000055432275331339224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.6520105401080615e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.09817477042468103, "x": 0.3920685613182424, "z": 3.9807389066887877, "direct": { "potential": 0.4775082236868365, "ex": 0.04612754300180427, "ez": 0.2312108156648385, "terms": [ { "role": "real", "distance": 2.019169228481073, "potential": 0.4952531892298366, "ex": 0.047625973036706036, "ez": 0.2406074525474214 }, { "role": "image", "distance": 3.502750504005561, "potential": -0.1427449655430001, "ex": -0.004561465670200531, "ez": -0.04049615959108907 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.003063035635298769, "ez": 0.031099522708506154 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4775082236868365, "error": -0.22750822368683649, "absoluteError": 0.22750822368683649, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9951847266721969, "moment": 1.75, "term": 0.10884832947977154, "partial": 0.3588483294797715, "direct": 0.4775082236868365, "error": -0.11865989420706496, "absoluteError": 0.11865989420706496, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12439809083402462 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015549761354253077 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9855889603024228, "moment": 3.875, "term": 0.05967433158081076, "partial": 0.4185226610605823, "direct": 0.4775082236868365, "error": -0.05898556262625421, "absoluteError": 0.05898556262625421, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.061599310018901426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019249784380906696 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.9712819823347044, "moment": 7.9375, "term": 0.03011543255774108, "partial": 0.44863809361832335, "direct": 0.4775082236868365, "error": -0.028870130068513133, "absoluteError": 0.028870130068513133, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.030352561947959513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0002371293902184337 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.9523670194681196, "moment": 15.96875, "term": 0.014851670744269078, "partial": 0.4634897643625924, "direct": 0.4775082236868365, "error": -0.01401845932424406, "absoluteError": 0.01401845932424406, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.01488073467918937 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000029063934920291737 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.9289804156620282, "moment": 31.984375, "term": 0.00725411571830815, "partial": 0.4707438800809006, "direct": 0.4775082236868365, "error": -0.006764343605935863, "absoluteError": 0.006764343605935863, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.007257659497359595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000035437790514451147 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.9012905390247057, "moment": 63.9921875, "term": 0.0035202363992459127, "partial": 0.4742641164801465, "direct": 0.4775082236868365, "error": -0.0032441072066899945, "absoluteError": 0.0032441072066899945, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0035206661680652566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.297688193439034e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.8694964327911193, "moment": 127.99609375, "term": 0.001698183394269145, "partial": 0.4759622998744157, "direct": 0.4775082236868365, "error": -0.001545923812420802, "absoluteError": 0.001545923812420802, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001698235220295155 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.1826026009983976e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.8338262217465331, "moment": 255.998046875, "term": 0.0008142772071848798, "partial": 0.47677657708160054, "direct": 0.4775082236868365, "error": -0.0007316466052359472, "absoluteError": 0.0007316466052359472, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0008142834196743487 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.212489468951025e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.794535287505214, "moment": 511.9990234375, "term": 0.0003879559433835057, "partial": 0.47716453302498407, "direct": 0.4775082236868365, "error": -0.0003436906618524138, "absoluteError": 0.0003436906618524138, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00038795668335215525 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -7.399686495822053e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.7519042279899746, "moment": 1023.99951171875, "term": 0.0001835702806284422, "partial": 0.4773481033056125, "direct": 0.4775082236868365, "error": -0.00016012038122398264, "absoluteError": 0.00016012038122398264, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.0001835703681616149 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -8.753317268448586e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.706236618261925, "moment": 2047.999755859375, "term": 0.00008621051441308098, "partial": 0.47743431382002555, "direct": 0.4775082236868365, "error": -0.00007390986681093947, "absoluteError": 0.00007390986681093947, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00008621052469017639 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.0277095400116013e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.6578565915050633, "moment": 4095.9998779296875, "term": 0.00004015237865596979, "partial": 0.47747446619868156, "direct": 0.4775082236868365, "error": -0.00003375748815492852, "absoluteError": 0.00003375748815492852, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00004015237985260396 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.1966341690005052e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.14726215563702155, "x": 0.586921897821447, "z": 3.956706039859124, "direct": { "potential": 0.4719103694906561, "ex": 0.06662313208164854, "ez": 0.22033574305036868, "terms": [ { "role": "real", "distance": 2.0428352455750085, "potential": 0.48951573660485004, "ex": 0.06884624950354042, "ez": 0.22952265493118085 }, { "role": "image", "distance": 3.506179396457186, "potential": -0.14260536711419394, "ex": -0.006808444748621933, "ez": -0.04009867781721157 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.004585327326730055, "ez": 0.030911765936399407 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4719103694906561, "error": -0.22191036949065612, "absoluteError": 0.22191036949065612, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.989176509964781, "moment": 1.75, "term": 0.10819118077739792, "partial": 0.3581911807773979, "direct": 0.4719103694906561, "error": -0.1137191887132582, "absoluteError": 0.1137191887132582, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.12364706374559763 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015455882968199703 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 3.875, "term": 0.058591528917527065, "partial": 0.416782709694925, "direct": 0.4719103694906561, "error": -0.05512765979573114, "absoluteError": 0.05512765979573114, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06048157823744729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0018900493199202279 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.9359344994389449, "moment": 7.9375, "term": 0.029019453473814943, "partial": 0.44580216316873994, "direct": 0.4719103694906561, "error": -0.026108206321916183, "absoluteError": 0.026108206321916183, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.02924795310746703 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00022849963365208616 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 15.96875, "term": 0.013947374461752985, "partial": 0.4597495376304929, "direct": 0.4719103694906561, "error": -0.012160831860163202, "absoluteError": 0.012160831860163202, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.013974668736629213 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000027294274876228932 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.843709698872081, "moment": 31.984375, "term": 0.006588263525356864, "partial": 0.4663378011558498, "direct": 0.4719103694906561, "error": -0.005572568334806349, "absoluteError": 0.005572568334806349, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.006591482022438133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000032184970812686196 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 63.9921875, "term": 0.003065030735511151, "partial": 0.46940283189136095, "direct": 0.4719103694906561, "error": -0.002507537599295173, "absoluteError": 0.002507537599295173, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00306540493044895 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.741949377989441e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.7184273953711477, "moment": 127.99609375, "term": 0.001403135684974575, "partial": 0.4708059675763355, "direct": 0.4719103694906561, "error": -0.0011044019143205963, "absoluteError": 0.0011044019143205963, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001403178506584273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -4.2821609698006376e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.645820864860035, "moment": 255.998046875, "term": 0.0006306796265994731, "partial": 0.471436647202935, "direct": 0.4719103694906561, "error": -0.00047372228772113445, "absoluteError": 0.00047372228772113445, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0006306844383398779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -4.811740404814742e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.568078325870053, "moment": 511.9990234375, "term": 0.0002773814659895678, "partial": 0.47171402866892453, "direct": 0.4719103694906561, "error": -0.00019634082173158873, "absoluteError": 0.00019634082173158873, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00027738199505373683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -5.290641690325486e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 1023.99951171875, "term": 0.00011875671085049533, "partial": 0.471832785379775, "direct": 0.4719103694906561, "error": -0.00007758411088110151, "absoluteError": 0.00007758411088110151, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00011875676747813485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -5.662763952166312e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.4021488268732769, "moment": 2047.999755859375, "term": 0.00004909042711589367, "partial": 0.47188187580689095, "direct": 0.4719103694906561, "error": -0.000028493683765173916, "absoluteError": 0.000028493683765173916, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004909043296792931 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.852035637847103e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 4095.9998779296875, "term": 0.000019320714068173424, "partial": 0.47190119652095913, "direct": 0.4719103694906561, "error": -0.000009172969696991107, "absoluteError": 0.000009172969696991107, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001932071464397559 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.758021665804264e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.19634954084936207, "x": 0.780361288064513, "z": 3.9231411216129217, "direct": { "potential": 0.4644153335525354, "ex": 0.08437174168833593, "ez": 0.20622338475606408, "terms": [ { "role": "real", "distance": 2.075436222471872, "potential": 0.48182641758511224, "ex": 0.08729061239978811, "ez": 0.2151210840470718 }, { "role": "image", "distance": 3.510962671175397, "potential": -0.14241108403257685, "ex": -0.009015443274456183, "ez": -0.039547239303608685 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.006096572563004008, "ez": 0.03064954001260095 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4644153335525354, "error": -0.2144153335525354, "absoluteError": 0.2144153335525354, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9807852804032304, "moment": 1.75, "term": 0.10727339004410333, "partial": 0.3572733900441033, "direct": 0.4644153335525354, "error": -0.10714194350843209, "absoluteError": 0.10714194350843209, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1225981600504038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.015324770006300475 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.942909649383465, "moment": 3.875, "term": 0.05709023267751448, "partial": 0.4143636227216178, "direct": 0.4644153335525354, "error": -0.050051710830917584, "absoluteError": 0.050051710830917584, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05893185308646656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00184162040895208 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.8874629878403022, "moment": 7.9375, "term": 0.027516552601493743, "partial": 0.4418801753231115, "direct": 0.4644153335525354, "error": -0.02253515822942387, "absoluteError": 0.02253515822942387, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.027733218370009444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00021666576851569878 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 15.96875, "term": 0.012725664903539066, "partial": 0.4546058402266506, "direct": 0.4644153335525354, "error": -0.009809493325884766, "absoluteError": 0.009809493325884766, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.012750568357362038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00002490345382297273 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.73067124627282, "moment": 31.984375, "term": 0.0057055818219011786, "partial": 0.4603114220485518, "direct": 0.4644153335525354, "error": -0.004103911503983593, "absoluteError": 0.004103911503983593, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.005708369111506406 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000027872896052277374 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 63.9921875, "term": 0.0024754567419142805, "partial": 0.4627868787904661, "direct": 0.4644153335525354, "error": -0.001628454762069298, "absoluteError": 0.001628454762069298, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0024757589585840296 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.0221666974902706e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.5281402859064391, "moment": 127.99609375, "term": 0.0010314925162968809, "partial": 0.46381837130676296, "direct": 0.4644153335525354, "error": -0.0005969622457724366, "absoluteError": 0.0005969622457724366, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.001031523995911014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.147961413302655e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 255.998046875, "term": 0.0004068967030095573, "partial": 0.46422526800977254, "direct": 0.4644153335525354, "error": -0.0001900655427628517, "absoluteError": 0.0001900655427628517, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00040689980740872273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -3.1043991654107875e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.3024539676839803, "moment": 511.9990234375, "term": 0.00014768231972598562, "partial": 0.4643729503294985, "direct": 0.4644153335525354, "error": -0.00004238322303690145, "absoluteError": 0.00004238322303690145, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001476826014081935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.816822078861113e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 1023.99951171875, "term": 0.00004605019692575477, "partial": 0.46441900052642426, "direct": 0.4644153335525354, "error": 0.0000036669738888717163, "absoluteError": 0.0000036669738888717163, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004605021888421028 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.195845550737871e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.07821867068308724, "moment": 2047.999755859375, "term": 0.000009548176435387583, "partial": 0.46442854870285966, "direct": 0.4644153335525354, "error": 0.000013215150324263902, "absoluteError": 0.000013215150324263902, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000009548177573619048 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.138231465055829e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 4095.9998779296875, "term": -0.0000015786594291554173, "partial": 0.4644269700434305, "direct": 0.4644153335525354, "error": 0.000011636490895083895, "absoluteError": 0.000011636490895083895, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001578659476203136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.704771865019608e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.2454369260617026, "x": 0.9719207196130555, "z": 3.880125012778176, "direct": { "potential": 0.4553187090028087, "ex": 0.09893793060683889, "ez": 0.189775716179287, "terms": [ { "role": "real", "distance": 2.116482919583169, "potential": 0.472481960873535, "ex": 0.10251479242241365, "ez": 0.1983089994108543 }, { "role": "image", "distance": 3.5170833068356258, "potential": -0.1421632518707263, "ex": -0.011169992437551755, "ez": -0.03884675989389679 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.007593130621976996, "ez": 0.0303134766623295 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4553187090028087, "error": -0.20531870900280869, "absoluteError": 0.20531870900280869, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.970031253194544, "moment": 1.75, "term": 0.10609716831815325, "partial": 0.35609716831815325, "direct": 0.4553187090028087, "error": -0.09922154068465544, "absoluteError": 0.09922154068465544, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.121253906649318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.01515673833116475 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 3.875, "term": 0.05518490116425635, "partial": 0.4112820694824096, "direct": 0.4553187090028087, "error": -0.0440366395203991, "absoluteError": 0.0440366395203991, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05696505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017801581020727856 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.8268561732948031, "moment": 7.9375, "term": 0.025637386232529296, "partial": 0.4369194557149389, "direct": 0.4553187090028087, "error": -0.018399253287869788, "absoluteError": 0.018399253287869788, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.025839255415462597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00020186918293330154 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 15.96875, "term": 0.01122885176620281, "partial": 0.4481483074811417, "direct": 0.4553187090028087, "error": -0.00717040152166698, "absoluteError": 0.00717040152166698, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.011250826035803988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000021974269601179665 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.5957678730232003, "moment": 31.984375, "term": 0.004652163833917583, "partial": 0.4528004713150593, "direct": 0.4553187090028087, "error": -0.0025182376877493917, "absoluteError": 0.0025182376877493917, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.004654436507993753 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000022726740761688245 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 63.9921875, "term": 0.0017945619585907437, "partial": 0.45459503327365003, "direct": 0.4553187090028087, "error": -0.0007236757291586571, "absoluteError": 0.0007236757291586571, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0017947810480741513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -2.1908948340748917e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.3170599751888516, "moment": 127.99609375, "term": 0.0006192388657935322, "partial": 0.45521427213944354, "direct": 0.4553187090028087, "error": -0.00010443686336514268, "absoluteError": 0.00010443686336514268, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006192577640407258 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.8898247193625664e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 255.998046875, "term": 0.0001705460179074426, "partial": 0.455384818157351, "direct": 0.4553187090028087, "error": 0.00006610915454230426, "absoluteError": 0.00006610915454230426, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017054731908022611 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3011727835100259e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.038159342705236465, "moment": 511.9990234375, "term": 0.00001863245601663395, "partial": 0.4554034506133676, "direct": 0.4553187090028087, "error": 0.00008474161055893603, "absoluteError": 0.00008474161055893603, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000018632491555291243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.5538657293875204e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 1023.99951171875, "term": -0.000021202742505950446, "partial": 0.4553822478708617, "direct": 0.4553187090028087, "error": 0.00006353886805299247, "absoluteError": 0.00006353886805299247, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002120275261621075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.0110260303597807e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.195519374167494, "moment": 2047.999755859375, "term": -0.00002386710825924906, "partial": 0.45535838076260243, "direct": 0.4553187090028087, "error": 0.00003967175979374682, "absoluteError": 0.00003967175979374682, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000023867111104430418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.8451813583887122e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 4095.9998779296875, "term": -0.000017328218883179408, "partial": 0.45534105254371926, "direct": 0.4553187090028087, "error": 0.000022343540910574333, "absoluteError": 0.000022343540910574333, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001732821939960059 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.164211809516129e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.2945243112740431, "x": 1.1611387090178493, "z": 3.8277613429288353, "direct": { "potential": 0.44494526265149204, "ex": 0.11016999031523768, "ez": 0.17191464420566369, "terms": [ { "role": "real", "distance": 2.165399415416162, "potential": 0.46180856653081376, "ex": 0.11435892331317725, "ez": 0.18001365179496004 }, { "role": "image", "distance": 3.524519634939088, "potential": -0.14186330387932175, "ex": -0.013260329162141524, "ez": -0.038003393080927886 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.009071396164201951, "ez": 0.029904385491631536 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.44494526265149204, "error": -0.19494526265149204, "absoluteError": 0.19494526265149204, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9569403357322088, "moment": 1.75, "term": 0.10466534922071034, "partial": 0.35466534922071036, "direct": 0.44494526265149204, "error": -0.09027991343078168, "absoluteError": 0.09027991343078168, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1196175419665261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014952192745815763 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 3.875, "term": 0.0528938837617855, "partial": 0.40755923298249586, "direct": 0.44494526265149204, "error": -0.03738602966899618, "absoluteError": 0.03738602966899618, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.054600138076681806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017062543148963064 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.7553484285018567, "moment": 7.9375, "term": 0.02342022715325581, "partial": 0.43097946013575167, "direct": 0.44494526265149204, "error": -0.013965802515740366, "absoluteError": 0.013965802515740366, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.02360463839068302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0001844112374272111 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 15.96875, "term": 0.009508568108359164, "partial": 0.4404880282441108, "direct": 0.44494526265149204, "error": -0.0044572344073812165, "absoluteError": 0.0044572344073812165, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.009527175873737557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000018607765378393666 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.44599261608168855, "moment": 31.984375, "term": 0.0034826159863251363, "partial": 0.443970644230436, "direct": 0.44494526265149204, "error": -0.0009746184210560616, "absoluteError": 0.0009746184210560616, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.003484317313138192 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000017013268130557577 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 63.9921875, "term": 0.001071467680421373, "partial": 0.44504211191085735, "direct": 0.44494526265149204, "error": 0.00009684925936531696, "absoluteError": 0.00009684925936531696, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010715984907840176 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.308103626445334e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.10525161013461, "moment": 127.99609375, "term": 0.00020556327755932605, "partial": 0.4452476751884166, "direct": 0.44494526265149204, "error": 0.00030241253692459, "absoluteError": 0.00030241253692459, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00020556955104416015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -6.273484834111333e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 255.998046875, "term": -0.000049988855478407816, "partial": 0.44519768633293827, "direct": 0.44494526265149204, "error": 0.0002524236814462344, "absoluteError": 0.0002524236814462344, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000049989236866018185 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.8138761036696003e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.18608382805779736, "moment": 511.9990234375, "term": -0.00009086107086477653, "partial": 0.44510682526207346, "direct": 0.44494526265149204, "error": 0.00016156261058142274, "absoluteError": 0.00016156261058142274, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009086124416884637 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.7330406984109185e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 1023.99951171875, "term": -0.00007135373770599912, "partial": 0.44503547152436745, "direct": 0.44494526265149204, "error": 0.00009020887287541912, "absoluteError": 0.00009020887287541912, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007135377173012885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.402412973886912e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.36476783781133404, "moment": 2047.999755859375, "term": -0.00004452731864350821, "partial": 0.44499094420572394, "direct": 0.44494526265149204, "error": 0.00004568155423190223, "absoluteError": 0.00004568155423190223, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004452732395157886 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.308070653865202e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 4095.9998779296875, "term": -0.00002448266923320739, "partial": 0.4449664615364908, "direct": 0.44494526265149204, "error": 0.000021198884998741008, "absoluteError": 0.000021198884998741008, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000024482669962847813 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 7.29640423144335e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.3436116964863836, "x": 1.3475594135688802, "z": 3.7661762607320832, "direct": { "potential": 0.4336227329650165, "ex": 0.1181597334257203, "ez": 0.15348727820138805, "terms": [ { "role": "real", "distance": 2.221552375495943, "potential": 0.4501356848616987, "ex": 0.12290746243028418, "ez": 0.16108843901456113 }, { "role": "image", "distance": 3.533245496603359, "potential": -0.14151295189668217, "ex": -0.015275536923070748, "ez": -0.03702441285014246 }, { "role": "central-image", "distance": 4.000000000000001, "potential": 0.12499999999999997, "ex": 0.01052780791850687, "ez": 0.02942325203696938 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4336227329650165, "error": -0.18362273296501652, "absoluteError": 0.18362273296501652, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9415440651830208, "moment": 1.75, "term": 0.1029813821293929, "partial": 0.3529813821293929, "direct": 0.4336227329650165, "error": -0.08064135083562363, "absoluteError": 0.08064135083562363, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.1176930081478776 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0147116260184847 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.8297578400220529, "moment": 3.875, "term": 0.05023924422008523, "partial": 0.40322062634947814, "direct": 0.4336227329650165, "error": -0.030402106615538382, "absoluteError": 0.030402106615538382, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.051859865001378305 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001620620781293072 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.6743932395643967, "moment": 7.9375, "term": 0.02091014194938437, "partial": 0.4241307682988625, "direct": 0.4336227329650165, "error": -0.00949196466615404, "absoluteError": 0.00949196466615404, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.021074788736387396 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00016464678700302653 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.4888807865284257, "moment": 15.96875, "term": 0.007623842831909959, "partial": 0.43175461113077246, "direct": 0.4336227329650165, "error": -0.001868121834244063, "absoluteError": 0.001868121834244063, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.007638762289506652 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000014919457596692679 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.28903045399660643, "moment": 31.984375, "term": 0.0022569478581659446, "partial": 0.4340115589889384, "direct": 0.4336227329650165, "error": 0.00038882602392187327, "absoluteError": 0.00038882602392187327, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0022580504218484877 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001102563682543207 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.09151334369201991, "moment": 63.9921875, "term": 0.000357430361834209, "partial": 0.4343689893507726, "direct": 0.4336227329650165, "error": 0.0007462563857560944, "absoluteError": 0.0007462563857560944, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0003574739987969528 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.363696274376865e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.08772181866886553, "moment": 127.99609375, "term": -0.00017132644845978717, "partial": 0.4341976629023128, "direct": 0.4336227329650165, "error": 0.0005749299372962979, "absoluteError": 0.0005749299372962979, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00017133167708762798 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.228627840808959e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2349378465206389, "moment": 255.998046875, "term": -0.00022942974031945064, "partial": 0.43396823316199334, "direct": 0.4336227329650165, "error": 0.0003455001969768223, "absoluteError": 0.0003455001969768223, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022943149074281142 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7504233607697405e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.3398554607757394, "moment": 511.9990234375, "term": -0.0001659447326918413, "partial": 0.4338022884293015, "direct": 0.4336227329650165, "error": 0.00017955546428499725, "absoluteError": 0.00017955546428499725, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000165945049206904 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.165150627267914e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.3965348331469579, "moment": 1023.99951171875, "term": -0.00009681021583603881, "partial": 0.4337054782134655, "direct": 0.4336227329650165, "error": 0.00008274524844897879, "absoluteError": 0.00008274524844897879, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009681026199876902 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.6162730216393005e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.40380916243523773, "moment": 2047.999755859375, "term": -0.00004929310477263603, "partial": 0.43365618510869286, "direct": 0.4336227329650165, "error": 0.000033452143676337975, "absoluteError": 0.000033452143676337975, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004929311064883273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.8761967001954e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.36523430030035225, "moment": 4095.9998779296875, "term": -0.0000222921319223341, "partial": 0.4336338929767705, "direct": 0.4336227329650165, "error": 0.000011160011753996724, "absoluteError": 0.000011160011753996724, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000022292132586691422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 6.64357322057826e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.39269908169872414, "x": 1.5307337294603591, "z": 3.695518130045147, "direct": { "potential": 0.42166085999792424, "ex": 0.12317908497082264, "ez": 0.1352041734570495, "terms": [ { "role": "real", "distance": 2.2842783280107115, "potential": 0.4377750240579749, "ex": 0.12842589281521688, "ez": 0.1422510169108245 }, { "role": "image", "distance": 3.543230428571483, "potential": -0.1411141640600507, "ex": -0.017205665105803295, "ez": -0.03591807884475274 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.011958857261409056, "ez": 0.02887123539097771 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.42166085999792424, "error": -0.17166085999792424, "absoluteError": 0.17166085999792424, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9238795325112867, "moment": 1.75, "term": 0.10104932386842198, "partial": 0.35104932386842197, "direct": 0.42166085999792424, "error": -0.07061153612950227, "absoluteError": 0.07061153612950227, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11548494156391084 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014435617695488855 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 3.875, "term": 0.04724654816911567, "partial": 0.39829587203753763, "direct": 0.42166085999792424, "error": -0.023364987960386607, "absoluteError": 0.023364987960386607, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.048770630368119405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0015240821990037314 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.5856319699199135, "moment": 7.9375, "term": 0.018158022504841068, "partial": 0.41645389454237874, "direct": 0.42166085999792424, "error": -0.005206965455545498, "absoluteError": 0.005206965455545498, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.018300999059997297 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00014297655515622888 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.361595869120796, "moment": 15.96875, "term": 0.005638900424826866, "partial": 0.4220927949672056, "direct": 0.42166085999792424, "error": 0.00043193496928134456, "absoluteError": 0.00043193496928134456, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0056499354550124375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011035030185571167 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.13282226460246935, "moment": 31.984375, "term": 0.0010371672654771987, "partial": 0.4231299622326828, "direct": 0.42166085999792424, "error": 0.0014691022347585458, "absoluteError": 0.0014691022347585458, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0010376739422067918 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.0667672959316e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 63.9921875, "term": -0.00029823823574192434, "partial": 0.42283172399694086, "direct": 0.42166085999792424, "error": 0.0011708639990166136, "absoluteError": 0.0011708639990166136, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0002982746462211994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 3.6410479275048754e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2448614310714851, "moment": 127.99609375, "term": -0.0004782303876828761, "partial": 0.422353493609258, "direct": 0.42166085999792424, "error": 0.0006926336113337594, "absoluteError": 0.0006926336113337594, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0004782449825614943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.4594878618209665e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 255.998046875, "term": -0.00034897546262992125, "partial": 0.4220045181466281, "direct": 0.42166085999792424, "error": 0.0003436581487038515, "absoluteError": 0.0003436581487038515, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0003489781251217206 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.6624917993295334e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.40596522898250775, "moment": 511.9990234375, "term": -0.00019822483137953286, "partial": 0.42180629331524855, "direct": 0.42166085999792424, "error": 0.0001454333173243061, "absoluteError": 0.0001454333173243061, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00019822520946411511 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.780845822603514e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 1023.99951171875, "term": -0.00009545927948813527, "partial": 0.4217108340357604, "direct": 0.42166085999792424, "error": 0.0000499740378361313, "absoluteError": 0.0000499740378361313, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009545932500668852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.551855326017786e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.3205772382807112, "moment": 2047.999755859375, "term": -0.000039132958992300586, "partial": 0.4216717010767681, "direct": 0.42166085999792424, "error": 0.000010841078843859542, "absoluteError": 0.000010841078843859542, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003913296365731338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.6650127956048705e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 4095.9998779296875, "term": -0.000012771625801113792, "partial": 0.421658929450967, "direct": 0.42166085999792424, "error": -0.0000019305469572405975, "absoluteError": 0.0000019305469572405975, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012771626181737913 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.806241208832834e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.44178646691106466, "x": 1.7102203737211283, "z": 3.6159571724937734, "direct": { "potential": 0.4093370348999694, "ex": 0.12561113023555903, "ez": 0.11761154656230872, "terms": [ { "role": "real", "distance": 2.352906991367255, "potential": 0.4250061747740008, "ex": 0.13129185828111753, "ez": 0.12405536931932458 }, { "role": "image", "distance": 3.554439875353953, "potential": -0.14066913987403143, "ex": -0.019041824715254806, "ez": -0.034693488167123455 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.013361096669696315, "ez": 0.028249665410107604 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.4093370348999694, "error": -0.15933703489996942, "absoluteError": 0.15933703489996942, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.9039892931234433, "moment": 1.75, "term": 0.09887382893537662, "partial": 0.3488738289353766, "direct": 0.4093370348999694, "error": -0.060463205964592814, "absoluteError": 0.060463205964592814, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11299866164043042 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.014124832705053802 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 3.875, "term": 0.04394461690782179, "partial": 0.3928184458431984, "direct": 0.4093370348999694, "error": -0.016518589056771005, "absoluteError": 0.016518589056771005, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04536218519517088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00141756828734909 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.4908585973608312, "moment": 7.9375, "term": 0.015219492642779678, "partial": 0.4080379384859781, "direct": 0.4093370348999694, "error": -0.0012990964139913408, "absoluteError": 0.0012990964139913408, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.015339331167525975 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00011983852474629668 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 15.96875, "term": 0.0036207718634100002, "partial": 0.4116587103493881, "direct": 0.4093370348999694, "error": 0.002321675449418692, "absoluteError": 0.002321675449418692, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0036278575226338945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007085659223894325 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.014883367911763479, "moment": 31.984375, "term": -0.00011621953626777588, "partial": 0.41154249081312033, "direct": 0.4093370348999694, "error": 0.002205455913150911, "absoluteError": 0.002205455913150911, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00011627631181065218 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.677554287629501e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 63.9921875, "term": -0.000852052790010912, "partial": 0.4106904380231094, "direct": 0.4093370348999694, "error": 0.0013534031231399735, "absoluteError": 0.0013534031231399735, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0008521568130593812 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.0402304846916274e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.3534847751479016, "moment": 127.99609375, "term": -0.0006903788821262892, "partial": 0.4100000591409831, "direct": 0.4093370348999694, "error": 0.0006630242410136655, "absoluteError": 0.0006630242410136655, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006903999514607453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.1069334456199503e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.408266471404419, "moment": 255.998046875, "term": -0.0003986946841586277, "partial": 0.4096013644568245, "direct": 0.4093370348999694, "error": 0.00026432955685506965, "absoluteError": 0.00026432955685506965, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00039869772598087795 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.0418222502203213e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.38292073555131134, "moment": 511.9990234375, "term": -0.00018697265878318844, "partial": 0.4094143917980413, "direct": 0.4093370348999694, "error": 0.00007735689807186752, "absoluteError": 0.00007735689807186752, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00018697301540591374 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.5662272530730007e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 1023.99951171875, "term": -0.00007086350169238868, "partial": 0.4093435282963489, "direct": 0.4093370348999694, "error": 0.000006493396379481098, "absoluteError": 0.000006493396379481098, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007086353548275557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.379036687982348e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.1528151867784473, "moment": 2047.999755859375, "term": -0.000018654195381037285, "partial": 0.40932487410096785, "direct": 0.4093370348999694, "error": -0.00001216079900157041, "absoluteError": 0.00001216079900157041, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001865419760479093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.223753643607012e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 4095.9998779296875, "term": 7.899842700966444e-8, "partial": 0.4093249530993949, "direct": 0.4093370348999694, "error": -0.000012081800574548218, "absoluteError": 0.000012081800574548218, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 7.89984293640011e-8 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.354336660027537e-15 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.4908738521234052, "x": 1.8855869473039906, "z": 3.52768505739342, "direct": { "potential": 0.39688843279624686, "ex": 0.12588851425173544, "ez": 0.101091020866037, "terms": [ { "role": "real", "distance": 2.4267797119694072, "potential": 0.4120687160304587, "ex": 0.13193362538380637, "ez": 0.10689139970700502 }, { "role": "image", "distance": 3.566835424098872, "potential": -0.14018028323421183, "ex": -0.020776259157883357, "ez": -0.033360418351854125 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.014731148025812426, "ez": 0.027560039510886095 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.39688843279624686, "error": -0.14688843279624686, "absoluteError": 0.14688843279624686, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.881921264348355, "moment": 1.75, "term": 0.09646013828810134, "partial": 0.34646013828810135, "direct": 0.39688843279624686, "error": -0.05042829450814551, "absoluteError": 0.05042829450814551, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.11024015804354438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.013780019755443048 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.6666776747647019, "moment": 3.875, "term": 0.040365249839269056, "partial": 0.3868253881273704, "direct": 0.39688843279624686, "error": -0.010063044668876475, "absoluteError": 0.010063044668876475, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.041667354672793866 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0013021048335248083 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.3919811868366088, "moment": 7.9375, "term": 0.012153713556701494, "partial": 0.3989791016840719, "direct": 0.39688843279624686, "error": 0.0020906688878250534, "absoluteError": 0.0020906688878250534, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012249412088644026 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009569853194253145 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.1049606957439676, "moment": 15.96875, "term": 0.0016368077247670729, "partial": 0.40061590940883895, "direct": 0.39688843279624686, "error": 0.0037274766125920955, "absoluteError": 0.0037274766125920955, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0016400108709994938 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000032031462324208863 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.1469642243739618, "moment": 31.984375, "term": -0.0011475973788967126, "partial": 0.39946831202994226, "direct": 0.39688843279624686, "error": 0.0025798792336954035, "absoluteError": 0.0025798792336954035, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0011481580029215766 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.606240248640511e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.3250871831720492, "moment": 63.9921875, "term": -0.0012697167956172253, "partial": 0.398198595234325, "direct": 0.39688843279624686, "error": 0.001310162438078133, "absoluteError": 0.001310162438078133, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0012698718092658172 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.550136485920187e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.40647593552017647, "moment": 127.99609375, "term": -0.0007938740837090982, "partial": 0.3974047211506159, "direct": 0.39688843279624686, "error": 0.0005162883543690655, "absoluteError": 0.0005162883543690655, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0007938983115628447 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.4227853746424703e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.387698285314084, "moment": 255.998046875, "term": -0.00037860871817471317, "partial": 0.39702611243244124, "direct": 0.39688843279624686, "error": 0.00013767963619437662, "absoluteError": 0.00013767963619437662, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00037861160675203517 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.8885773220217527e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.2845357410362949, "moment": 511.9990234375, "term": -0.00013893320230831948, "partial": 0.3968871792301329, "direct": 0.39688843279624686, "error": -0.0000012535661139678744, "absoluteError": 0.0000012535661139678744, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00013893346730287838 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.6499455891204525e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.12785397214267258, "moment": 1023.99951171875, "term": -0.00003121433378348336, "partial": 0.3968559648963494, "direct": 0.39688843279624686, "error": -0.00003246789989747034, "absoluteError": 0.00003246789989747034, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003121434866764467 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4884161313841187e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.04340523075622007, "moment": 2047.999755859375, "term": 0.000005298489450917157, "partial": 0.3968612633858003, "direct": 0.39688843279624686, "error": -0.000027169410446559183, "absoluteError": 0.000027169410446559183, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000005298490082546395 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -6.316292384322161e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.19056946677417716, "moment": 4095.9998779296875, "term": 0.000011631436834397245, "partial": 0.3968728948226347, "direct": 0.39688843279624686, "error": -0.00001553797361214526, "absoluteError": 0.00001553797361214526, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011631437181041086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.466438407016124e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.5399612373357456, "x": 2.0564109767728866, "z": 3.4309144400010885, "direct": { "potential": 0.38450952959977514, "ex": 0.12444592729477666, "ez": 0.08587744048661927, "terms": [ { "role": "real", "distance": 2.505262908358252, "potential": 0.39915970362380837, "ex": 0.1307826062745076, "ez": 0.09100258748513664 }, { "role": "image", "distance": 3.5803750585656404, "potential": -0.13965017402403326, "ex": -0.022402389735769128, "ez": -0.03192916606102587 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.016065710756038177, "ez": 0.026804019062508504 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.38450952959977514, "error": -0.13450952959977514, "absoluteError": 0.13450952959977514, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.8577286100002721, "moment": 1.75, "term": 0.09381406671877976, "partial": 0.3438140667187798, "direct": 0.38450952959977514, "error": -0.04069546288099535, "absoluteError": 0.04069546288099535, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10721607625003401 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.013402009531254252 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 3.875, "term": 0.03654291822500868, "partial": 0.38035698494378845, "direct": 0.38450952959977514, "error": -0.00415254465598669, "absoluteError": 0.00415254465598669, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.03772172203871864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0011788038137099575 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.2909809322954658, "moment": 7.9375, "term": 0.009022113867559607, "partial": 0.389379098811348, "direct": 0.38450952959977514, "error": 0.004869569211572888, "absoluteError": 0.004869569211572888, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.009093154134233306 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0000710402666736977 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.01589099092447066, "moment": 15.96875, "term": -0.0002478117786378329, "partial": 0.3891312870327102, "direct": 0.38450952959977514, "error": 0.004621757432935081, "absoluteError": 0.004621757432935081, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.00024829673319485407 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 4.849545570211994e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.2573190294392843, "moment": 31.984375, "term": -0.0020093233232964134, "partial": 0.3871219637094138, "direct": 0.38450952959977514, "error": 0.002612434109638684, "absoluteError": 0.002612434109638684, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0020103049174944087 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 9.815941979953167e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.39139231221683124, "moment": 63.9921875, "term": -0.001528689589199097, "partial": 0.3855932741202147, "direct": 0.38450952959977514, "error": 0.001083744520439578, "absoluteError": 0.001083744520439578, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001528876219596997 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8663039790002405e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.40289925919389297, "moment": 127.99609375, "term": -0.0007868886009458477, "partial": 0.3848063855192689, "direct": 0.38450952959977514, "error": 0.0002968559194937437, "absoluteError": 0.0002968559194937437, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0007869126156130722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.4014667224520026e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.3054908922324923, "moment": 255.998046875, "term": -0.00029832867336127906, "partial": 0.38450805684590755, "direct": 0.38450952959977514, "error": -0.000001472753867581833, "absoluteError": 0.000001472753867581833, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002983309494457933 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.2760845142043555e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.13680962873425248, "moment": 511.9990234375, "term": -0.00006680144911650106, "partial": 0.3844412553967911, "direct": 0.38450952959977514, "error": -0.00006827420298405329, "absoluteError": 0.00006827420298405329, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00006680157653039672 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.2741389566497177e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.0519852909003641, "moment": 1023.99951171875, "term": 0.000012691715359337333, "partial": 0.3844539471121504, "direct": 0.38450952959977514, "error": -0.00005558248762471685, "absoluteError": 0.00005558248762471685, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000012691721411221704 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -6.0518843704327125e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.2094973622486851, "moment": 2047.999755859375, "term": 0.000025573405429034838, "partial": 0.38447952051757944, "direct": 0.38450952959977514, "error": -0.000030009082195692205, "absoluteError": 0.000030009082195692205, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000025573408477622692 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.0485878560093274e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.29675625587188526, "moment": 4095.9998779296875, "term": 0.00001811256390550901, "partial": 0.38449763308148494, "direct": 0.38450952959977514, "error": -0.000011896518290199776, "absoluteError": 0.000011896518290199776, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000018112564445305497 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.397964848669021e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.5890486225480862, "x": 2.2222809320784087, "z": 3.325878449210181, "direct": { "potential": 0.37235351143877704, "ex": 0.12168820482119076, "ez": 0.072085689534608, "terms": [ { "role": "real", "distance": 2.587756983018165, "potential": 0.3864350503398798, "ex": 0.12824147139315015, "ez": 0.07651265002582601 }, { "role": "image", "distance": 3.5950134284575097, "potential": -0.13908153890110278, "ex": -0.023914836353821953, "ez": -0.030410385875672536 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.017361569781862568, "ez": 0.02598342538445454 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.37235351143877704, "error": -0.12235351143877704, "absoluteError": 0.12235351143877704, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.8314696123025452, "moment": 1.75, "term": 0.09094198884559089, "partial": 0.3409419888455909, "direct": 0.37235351143877704, "error": -0.031411522593186136, "absoluteError": 0.031411522593186136, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10393370153781815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.01299171269222727 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.5370125742738172, "moment": 3.875, "term": 0.03251443320798503, "partial": 0.37345642205357593, "direct": 0.37235351143877704, "error": 0.001102910614798891, "absoluteError": 0.001102910614798891, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.033563285892113576 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0010488526841285492 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.18986965335337413, "moment": 7.9375, "term": 0.005887071771454716, "partial": 0.37934349382503063, "direct": 0.37235351143877704, "error": 0.00698998238625359, "absoluteError": 0.00698998238625359, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.005933426667292942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00004635489583822611 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.12648544834730274, "moment": 15.96875, "term": -0.001972475100874991, "partial": 0.3773710187241556, "direct": 0.37235351143877704, "error": 0.005017507285378586, "absoluteError": 0.005017507285378586, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0019763351304266054 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000038600295516144636 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.34119957474134105, "moment": 31.984375, "term": -0.0026643201045819286, "partial": 0.37470669861957373, "direct": 0.37235351143877704, "error": 0.0023531871807966898, "absoluteError": 0.0023531871807966898, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002665621677666727 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000013015730847982065 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.41470676961187064, "moment": 63.9921875, "term": -0.0016197505711988604, "partial": 0.37308694804837483, "direct": 0.37235351143877704, "error": 0.0007334366095977929, "absoluteError": 0.0007334366095977929, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0016199483187963697 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.9774759750932247e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.3479159359830647, "moment": 127.99609375, "term": -0.0006795025750611473, "partial": 0.3724074454733137, "direct": 0.37235351143877704, "error": 0.00005393403453668455, "absoluteError": 0.00005393403453668455, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006795233124669232 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 2.0737405775968116e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.17953444235033056, "moment": 255.998046875, "term": -0.00017532526622191202, "partial": 0.3722321202070918, "direct": 0.37235351143877704, "error": -0.00012139123168525279, "absoluteError": 0.00012139123168525279, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00017532660385774469 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.3376358326549125e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.027290124874756277, "moment": 511.9990234375, "term": 0.000013325230870592728, "partial": 0.3722454454379624, "direct": 0.37235351143877704, "error": -0.0001080660008146439, "absoluteError": 0.0001080660008146439, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000013325256286502088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.541590935993593e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.20469372625897062, "moment": 1023.99951171875, "term": 0.00004997403043295798, "partial": 0.37229541946839534, "direct": 0.37235351143877704, "error": -0.000058091970381701774, "absoluteError": 0.000058091970381701774, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000049974054262444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.3829486018392562e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.3001116026119945, "moment": 2047.999755859375, "term": 0.000036634712748523384, "partial": 0.37233205418114385, "direct": 0.37235351143877704, "error": -0.00002145725763319506, "absoluteError": 0.00002145725763319506, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000036634717115721983 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.367198600259064e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.2906369668492505, "moment": 4095.9998779296875, "term": 0.000017739072155004513, "partial": 0.37234979325329887, "direct": 0.37235351143877704, "error": -0.000003718185478174263, "absoluteError": 0.000003718185478174263, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000017739072683670074 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.28665562977495e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.6381360077604268, "x": 2.3827972179697334, "z": 3.2128301259225798, "direct": { "potential": 0.3605361132127789, "ex": 0.1179722803498157, "ez": 0.059739628291034796, "terms": [ { "role": "real", "distance": 2.6737014598323583, "potential": 0.3740133350799383, "ex": 0.12466609179669, "ez": 0.0634543261473524 }, { "role": "image", "distance": 3.6107021303449307, "potential": -0.13847722186715938, "ex": -0.025309414712262834, "ez": -0.02881493321508776 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.018615603265388542, "ez": 0.025100235358770154 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.3605361132127789, "error": -0.1105361132127789, "absoluteError": 0.1105361132127789, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.8032075314806449, "moment": 1.75, "term": 0.08785082375569554, "partial": 0.33785082375569553, "direct": 0.3605361132127789, "error": -0.02268528945708337, "absoluteError": 0.02268528945708337, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.10040094143508062 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.012550117679385077 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.4677135079408469, "moment": 3.875, "term": 0.028318591301105964, "partial": 0.3661694150568015, "direct": 0.3605361132127789, "error": 0.005633301844022609, "absoluteError": 0.005633301844022609, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02923209424630293 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0009135029451969665 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.09064666593510447, "moment": 7.9375, "term": 0.002810577776796452, "partial": 0.36897999283359795, "direct": 0.3605361132127789, "error": 0.00844387962081905, "absoluteError": 0.00844387962081905, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0028327083104720146 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000022130533675562614 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.22337098258593474, "moment": 15.96875, "term": -0.003483354861493306, "partial": 0.36549663797210463, "direct": 0.3605361132127789, "error": 0.004960524759325735, "absoluteError": 0.004960524759325735, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0034901716029052303 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000006816741411924278 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.39546119269714214, "moment": 31.984375, "term": -0.0030880320032159805, "partial": 0.3624086059688887, "direct": 0.3605361132127789, "error": 0.0018724927561097893, "absoluteError": 0.0018724927561097893, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003089540567946423 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000015085647304425893 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.3961927632132703, "moment": 63.9921875, "term": -0.001547439061870526, "partial": 0.36086116690701814, "direct": 0.3605361132127789, "error": 0.00032505369423924124, "absoluteError": 0.00032505369423924124, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001547627981301837 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.889194313112594e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2520225701600702, "moment": 127.99609375, "term": -0.0004922165606281174, "partial": 0.36036895034639005, "direct": 0.3605361132127789, "error": -0.00016716286638884803, "absoluteError": 0.00016716286638884803, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0004922315823438871 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.5021715769771944e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.032880881792784034, "moment": 255.998046875, "term": -0.00003210999114410576, "partial": 0.36033684035524594, "direct": 0.3605361132127789, "error": -0.00019927285753296164, "absoluteError": 0.00019927285753296164, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003211023612576566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.449816598950627e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.17413418211331658, "moment": 511.9990234375, "term": 0.00008502629393492304, "partial": 0.36042186664918086, "direct": 0.3605361132127789, "error": -0.00011424656359804164, "absoluteError": 0.00011424656359804164, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00008502645611001786 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.621750948143346e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.295337978080618, "moment": 1023.99951171875, "term": 0.00007210396417297262, "partial": 0.3604939706133538, "direct": 0.3605361132127789, "error": -0.00004214259942508791, "absoluteError": 0.00004214259942508791, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007210399855483838 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.4381865765971366e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.29456633033871027, "moment": 2047.999755859375, "term": 0.00003595779970992032, "partial": 0.36052992841306375, "direct": 0.3605361132127789, "error": -0.000006184799715147626, "absoluteError": 0.000006184799715147626, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000035957803996424593 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.2865042682200186e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.18275281893604664, "moment": 4095.9998779296875, "term": 0.000011154346526464125, "partial": 0.3605410827595902, "direct": 0.3605361132127789, "error": 0.000004969546811284253, "absoluteError": 0.000004969546811284253, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011154346858889565 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.324254411128034e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.6872233929727672, "x": 2.537573136654582, "z": 3.092041813450948, "direct": { "potential": 0.34914068018451117, "ex": 0.11359977232061301, "ez": 0.048798835385307146, "terms": [ { "role": "real", "distance": 2.762577192803164, "potential": 0.3619808353609509, "ex": 0.12035809409653939, "ez": 0.05179597365771451 }, { "role": "image", "distance": 3.6273899964780534, "potential": -0.13784015517643972, "ex": -0.026583111906040294, "ez": -0.0271537149399929 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.01982479013011392, "ez": 0.02415657666758553 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.34914068018451117, "error": -0.09914068018451117, "absoluteError": 0.09914068018451117, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.773010453362737, "moment": 1.75, "term": 0.08454801833654936, "partial": 0.33454801833654935, "direct": 0.34914068018451117, "error": -0.014592661847961819, "absoluteError": 0.014592661847961819, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.09662630667034212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.012078288333792766 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 3.875, "term": 0.023995800755615207, "partial": 0.3585438190921646, "direct": 0.34914068018451117, "error": 0.00940313890765343, "absoluteError": 0.00940313890765343, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02476985884450602 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0007740580888908131 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.004744040505222073, "moment": 7.9375, "term": -0.00014709305277421956, "partial": 0.3583967260393903, "direct": 0.34914068018451117, "error": 0.009256045854879158, "absoluteError": 0.009256045854879158, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.00014825126578818978 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0000011582130139702327 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 15.96875, "term": -0.004735356496791616, "partial": 0.35366136954259875, "direct": 0.34914068018451117, "error": 0.004520689358087582, "absoluteError": 0.004520689358087582, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004744623339251091 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009266842459474786 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.4187172917121639, "moment": 31.984375, "term": -0.003269631561793516, "partial": 0.3503917379808052, "direct": 0.34914068018451117, "error": 0.0012510577962940306, "absoluteError": 0.0012510577962940306, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0032712288415012803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001597279707764297 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 63.9921875, "term": -0.0013293440933995846, "partial": 0.3490623938874056, "direct": 0.34914068018451117, "error": -0.00007828629710554535, "absoluteError": 0.00007828629710554535, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0013295063866596748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.6229326009029234e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.1297080256585875, "moment": 127.99609375, "term": -0.00025332825641363483, "partial": 0.348809065630992, "direct": 0.34914068018451117, "error": -0.00033161455351915503, "absoluteError": 0.00033161455351915503, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0002533359876144287 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.73120079389736e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 255.998046875, "term": 0.00010723679769973054, "partial": 0.3489163024286917, "direct": 0.34914068018451117, "error": -0.0002243777558194604, "absoluteError": 0.0002243777558194604, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00010723761585781051 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -8.181580799698678e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.27563491752824176, "moment": 511.9990234375, "term": 0.00013458710536931576, "partial": 0.34905088953406105, "direct": 0.34914068018451117, "error": -0.0000897906504501167, "absoluteError": 0.0000897906504501167, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001345873620743368 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.567050210463272e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 1023.99951171875, "term": 0.00007470706669414928, "partial": 0.3491255966007552, "direct": 0.34914068018451117, "error": -0.000015083583755959307, "absoluteError": 0.000015083583755959307, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007470710231727165 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.562312236655791e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.20100188394358875, "moment": 2047.999755859375, "term": 0.000024536359861120236, "partial": 0.3491501329606163, "direct": 0.34914068018451117, "error": 0.0000094527761051455, "absoluteError": 0.0000094527761051455, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002453636278608261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.924962375889136e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 4095.9998779296875, "term": 0.000001056201236909375, "partial": 0.3491511891618532, "direct": 0.34914068018451117, "error": 0.000010508977342060799, "absoluteError": 0.000010508977342060799, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000010562012683866257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.147725070675092e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.7363107781851077, "x": 2.6862358193880733, "z": 2.963804501419837, "direct": { "potential": 0.33822357905523603, "ex": 0.1088168061245155, "ez": 0.03918103436760169, "terms": [ { "role": "real", "distance": 2.853906444563426, "potential": 0.3503969101387184, "ex": 0.11556463164684588, "ez": 0.04146386232446571 }, { "role": "image", "distance": 3.6450233879332194, "potential": -0.13717333108348234, "ex": -0.027734042861299716, "ez": -0.025437550624206495 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.020986217338969323, "ez": 0.023154722667342476 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.33822357905523603, "error": -0.08822357905523603, "absoluteError": 0.08822357905523603, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.7409511253549592, "moment": 1.75, "term": 0.08104152933569866, "partial": 0.33104152933569864, "direct": 0.33822357905523603, "error": -0.007182049719537398, "absoluteError": 0.007182049719537398, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.0926188906693699 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011577361333671238 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.32351285524717077, "moment": 3.875, "term": 0.019587692407543544, "partial": 0.3506292217432422, "direct": 0.33822357905523603, "error": 0.012405642688006147, "absoluteError": 0.012405642688006147, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.020219553452948173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0006318610454046304 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.0944553932996608, "moment": 7.9375, "term": -0.0029286706418595997, "partial": 0.3477005511013826, "direct": 0.33822357905523603, "error": 0.009476972046146559, "absoluteError": 0.009476972046146559, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0029517310406144 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0000230603987548 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.3651115938675287, "moment": 15.96875, "term": -0.0056937263325899405, "partial": 0.3420068247687927, "direct": 0.33822357905523603, "error": 0.003783245713556649, "absoluteError": 0.003783245713556649, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.005704868654180136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011142321590195579 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.41138940880159025, "moment": 31.984375, "term": -0.0032124104302095613, "partial": 0.3387944143385831, "direct": 0.33822357905523603, "error": 0.0005708352833470598, "absoluteError": 0.0005708352833470598, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003213979756262424 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000015693260528625116 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.25457598836325046, "moment": 63.9921875, "term": -0.0009943160632531092, "partial": 0.33780009827533, "direct": 0.33822357905523603, "error": -0.00042348077990606026, "absoluteError": 0.00042348077990606026, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009944374545439471 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.2139129083788417e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.0023096724214604386, "moment": 127.99609375, "term": 0.0000045109412809606905, "partial": 0.337804609216611, "direct": 0.33822357905523603, "error": -0.00041896983862504955, "absoluteError": 0.00041896983862504955, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.000004511078948164919 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.3766720422866575e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.2259627792801237, "moment": 255.998046875, "term": 0.00022066509308684687, "partial": 0.3380252743096978, "direct": 0.33822357905523603, "error": -0.00019830474553822475, "absoluteError": 0.00019830474553822475, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002206667766407458 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.6835538989314713e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.3141986673065921, "moment": 511.9990234375, "term": 0.00015341702540048517, "partial": 0.3381786913350983, "direct": 0.33822357905523603, "error": -0.00004488772013772069, "absoluteError": 0.00004488772013772069, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00015341731802079694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.9262031177672756e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.2389646252869996, "moment": 1023.99951171875, "term": 0.00005834094515131513, "partial": 0.3382370322802496, "direct": 0.33822357905523603, "error": 0.000013453225013559944, "absoluteError": 0.000013453225013559944, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005834097297045889 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.7819143758038944e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.05239059958991612, "moment": 2047.999755859375, "term": 0.000006395336101619869, "partial": 0.33824342761635123, "direct": 0.33822357905523603, "error": 0.000019848561115198837, "absoluteError": 0.000019848561115198837, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0000063953368640034325 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -7.623835639957705e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.14464806520842494, "moment": 4095.9998779296875, "term": -0.000008828616998143108, "partial": 0.3382345989993531, "direct": 0.33822357905523603, "error": 0.000011019944117063307, "absoluteError": 0.000011019944117063307, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000008828617261256405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 2.6311329785753503e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.7853981633974483, "x": 2.82842712474619, "z": 2.8284271247461903, "direct": { "potential": 0.32781939740586513, "ex": 0.10381817136000465, "ez": 0.03077960774115593, "terms": [ { "role": "real", "distance": 2.9472515164158013, "potential": 0.3392991722729235, "ex": 0.11048247484539299, "ez": 0.03235956767994346 }, { "role": "image", "distance": 3.6635464887529148, "potential": -0.13647977486705837, "ex": -0.02876139039746795, "ez": -0.023677046850867144 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.022097086912079608, "ez": 0.02209708691207961 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.32781939740586513, "error": -0.07781939740586513, "absoluteError": 0.07781939740586513, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 1.75, "term": 0.07733980419227864, "partial": 0.32733980419227865, "direct": 0.32781939740586513, "error": -0.0004795932135864822, "absoluteError": 0.0004795932135864822, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08838834764831845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011048543456039806 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 3.875, "term": 0.015136718750000007, "partial": 0.34247652294227865, "direct": 0.32781939740586513, "error": 0.014657125536413518, "absoluteError": 0.014657125536413518, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015625000000000007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812500000002 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 7.9375, "term": -0.005481113355144743, "partial": 0.3369954095871339, "direct": 0.32781939740586513, "error": 0.009176012181268789, "absoluteError": 0.009176012181268789, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005524271728019899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00004315837287515546 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 15.96875, "term": -0.006335258483886717, "partial": 0.3306601511032472, "direct": 0.32781939740586513, "error": 0.00284075369738207, "absoluteError": 0.00284075369738207, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006347656249999998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012397766113281247 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 31.984375, "term": -0.002933336362661203, "partial": 0.32772681474058596, "direct": 0.32781939740586513, "error": -0.0000925826652791728, "absoluteError": 0.0000925826652791728, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0029347693555105735 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000014329928493703972 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 63.9921875, "term": -0.0005797632038593298, "partial": 0.32714705153672663, "direct": 0.32781939740586513, "error": -0.000672345869138502, "absoluteError": 0.000672345869138502, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843750005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.078051567077643e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 127.99609375, "term": 0.000248153070770302, "partial": 0.32739520460749694, "direct": 0.32781939740586513, "error": -0.0004241927983681948, "absoluteError": 0.0004241927983681948, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002481606440321438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.573261841801263e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 255.998046875, "term": 0.0002913452808570582, "partial": 0.327686549888354, "direct": 0.32781939740586513, "error": -0.00013284751751113655, "absoluteError": 0.00013284751751113655, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002913475036621093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133036e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 511.9990234375, "term": 0.0001394215089481058, "partial": 0.32782597139730213, "direct": 0.32781939740586513, "error": 0.0000065739914369977726, "absoluteError": 0.0000065739914369977726, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001394217748740375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.659259316902876e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 1023.99951171875, "term": 0.000028103576610760727, "partial": 0.3278540749739129, "direct": 0.32781939740586513, "error": 0.000034677568047758456, "absoluteError": 0.000034677568047758456, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596724 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.340083599643551e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2047.999755859375, "term": -0.000012717810022080973, "partial": 0.3278413571638908, "direct": 0.32781939740586513, "error": 0.000021959758025658083, "absoluteError": 0.000021959758025658083, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000012717811538162251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.5160812781050505e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 4095.9998779296875, "term": -0.000015058554260177765, "partial": 0.32782629860963064, "direct": 0.32781939740586513, "error": 0.000006901203765508068, "absoluteError": 0.000006901203765508068, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957667 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910375e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.8344855486097889, "x": 2.9638045014198364, "z": 2.6862358193880733, "direct": { "potential": 0.3179456195086529, "ex": 0.09875364696066205, "ez": 0.023476493564849144, "terms": [ { "role": "real", "distance": 3.0422124716146484, "potential": 0.3287081390042596, "ex": 0.10526425620614735, "ez": 0.02437276246638274 }, { "role": "image", "distance": 3.682901598008278, "potential": -0.13576251949560672, "ex": -0.029665331912827782, "ez": -0.021882486240502926 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.02315472266734248, "ez": 0.02098621733896933 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.3179456195086529, "error": -0.06794561950865291, "absoluteError": 0.06794561950865291, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.6715589548470183, "moment": 1.75, "term": 0.07345176068639263, "partial": 0.32345176068639264, "direct": 0.3179456195086529, "error": 0.005506141177739732, "absoluteError": 0.005506141177739732, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08394486935587729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.010493108669484661 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.17648714475282934, "moment": 3.875, "term": 0.010685745092456464, "partial": 0.3341375057788491, "direct": 0.3179456195086529, "error": 0.016191886270196187, "absoluteError": 0.016191886270196187, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.011030446547051834 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0003447014545953698 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.2501700991077714, "moment": 7.9375, "term": -0.007756738912765373, "partial": 0.3263807668660837, "direct": 0.3179456195086529, "error": 0.008435147357430783, "absoluteError": 0.008435147357430783, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.007817815597117856 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00006107668435248325 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.4263723065735044, "moment": 15.96875, "term": -0.0066490554400348125, "partial": 0.3197317114260489, "direct": 0.3179456195086529, "error": 0.0017860919173959822, "absoluteError": 0.0017860919173959822, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006662067290211006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000013011850176193371 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.31526537375457003, "moment": 31.984375, "term": -0.0024618080904983707, "partial": 0.31726990333555055, "direct": 0.3179456195086529, "error": -0.0006757161731023587, "absoluteError": 0.0006757161731023587, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0024630107324575784 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001202641959207802 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.032841766835214704, "moment": 63.9921875, "term": -0.00012827249152528938, "partial": 0.31714163084402525, "direct": 0.3179456195086529, "error": -0.0008039886646276639, "absoluteError": 0.0008039886646276639, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00012828815170005744 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5660174768073418e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.22926783836885697, "moment": 127.99609375, "term": 0.00044777508138610936, "partial": 0.31758940592541135, "direct": 0.3179456195086529, "error": -0.00035621358324156027, "absoluteError": 0.00035621358324156027, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004477887468141738 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.3665428064397393e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 255.998046875, "term": 0.000309982427065719, "partial": 0.31789938835247705, "direct": 0.3179456195086529, "error": -0.00004623115617585771, "absoluteError": 0.00004623115617585771, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0003099847920619963 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.364996277328463e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.1988593303698685, "moment": 511.9990234375, "term": 0.00009709909720497881, "partial": 0.31799648744968206, "direct": 0.3179456195086529, "error": 0.000050867941029153485, "absoluteError": 0.000050867941029153485, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009709928240716235 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.8520218354637595e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.03194503264127886, "moment": 1023.99951171875, "term": -0.000007799076515795967, "partial": 0.31798868837316624, "direct": 0.3179456195086529, "error": 0.00004306886451332925, "absoluteError": 0.00004306886451332925, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000007799080234687222 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.718891255706416e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.22173688464494895, "moment": 2047.999755859375, "term": -0.00002706748757468902, "partial": 0.31796162088559154, "direct": 0.3179456195086529, "error": 0.00001600137693863468, "absoluteError": 0.00001600137693863468, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002706749080138537 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.2266963483554566e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.25612671854328634, "moment": 4095.9998779296875, "term": -0.000015632733820197467, "partial": 0.3179459881517714, "direct": 0.3179456195086529, "error": 3.6864311847573106e-7, "absoluteError": 3.6864311847573106e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015632734286089254 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.658917869952099e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.8835729338221293, "x": 3.0920418134509475, "z": 2.537573136654582, "direct": { "potential": 0.30860664344874333, "ex": 0.09373503562248311, "ez": 0.01715117712092861, "terms": [ { "role": "real", "distance": 3.1384243583973266, "potential": 0.31863122567359303, "ex": 0.10002541471580678, "ez": 0.017390119273302855 }, { "role": "image", "distance": 3.703029417024042, "potential": -0.1350245822248497, "ex": -0.030446955760909205, "ez": -0.02006373228248818 }, { "role": "central-image", "distance": 3.999999999999999, "potential": 0.12500000000000003, "ex": 0.024156576667585545, "ez": 0.019824790130113935 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.30860664344874333, "error": -0.058606643448743334, "absoluteError": 0.058606643448743334, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.6343932841636455, "moment": 1.75, "term": 0.06938676545539872, "partial": 0.31938676545539874, "direct": 0.30860664344874333, "error": 0.010780122006655402, "absoluteError": 0.010780122006655402, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.07929916052045569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.00991239506505696 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.1036822584879038, "moment": 3.875, "term": 0.0062776367443848, "partial": 0.32566440219978354, "direct": 0.30860664344874333, "error": 0.01705775875104021, "absoluteError": 0.01705775875104021, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0064801411554939875 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0002025044111091871 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.3133033086563548, "moment": 7.9375, "term": -0.009714238329921158, "partial": 0.31595016386986235, "direct": 0.30860664344874333, "error": 0.007343520421119021, "absoluteError": 0.007343520421119021, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.009790728395511088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00007649006558993037 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.42558734497215, "moment": 15.96875, "term": -0.006636814370140645, "partial": 0.3093133494997217, "direct": 0.30860664344874333, "error": 0.0007067060509783896, "absoluteError": 0.0007067060509783896, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006649802265189844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012987895049198914 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.2353389093305796, "moment": 31.984375, "term": -0.0018376874824512345, "partial": 0.3074756620172705, "direct": 0.30860664344874333, "error": -0.0011309814314728328, "absoluteError": 0.0011309814314728328, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0018385852291451532 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 8.977466939185318e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.08094417757697758, "moment": 63.9921875, "term": 0.0003161495964684598, "partial": 0.3077918116137389, "direct": 0.30860664344874333, "error": -0.0008148318350044148, "absoluteError": 0.0008148318350044148, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0003161881936600687 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.85971916088951e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.29708417291346734, "moment": 127.99609375, "term": 0.000580224817625021, "partial": 0.30837203643136396, "direct": 0.30860664344874333, "error": -0.0002346070173793735, "absoluteError": 0.0002346070173793735, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005802425252216159 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.7707596594897946e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.2825517273594225, "moment": 255.998046875, "term": 0.00027592731607501856, "partial": 0.30864796374743897, "direct": 0.30860664344874333, "error": 0.00004132029869563514, "absoluteError": 0.00004132029869563514, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00027592942124943606 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.105174417491425e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.07450646968982182, "moment": 511.9990234375, "term": 0.00003638004276367613, "partial": 0.30868434379020265, "direct": 0.30860664344874333, "error": 0.00007770034145931914, "absoluteError": 0.00007770034145931914, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00003638011215323331 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -6.938955717703497e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.16449038702734647, "moment": 1023.99951171875, "term": -0.00004015876674614692, "partial": 0.30864418502345653, "direct": 0.30860664344874333, "error": 0.00003754157471319575, "absoluteError": 0.00003754157471319575, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00004015878589534826 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.9149201343225603e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.26694983913912673, "moment": 2047.999755859375, "term": -0.000032586646400906504, "partial": 0.3086115983770556, "direct": 0.30860664344874333, "error": 0.000004954928312261853, "absoluteError": 0.000004954928312261853, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003258665028553793 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.88463142937874e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.1738069167785851, "moment": 4095.9998779296875, "term": -0.000010608332006758748, "partial": 0.3086009900450489, "direct": 0.30860664344874333, "error": -0.000005653403694461101, "absoluteError": 0.000005653403694461101, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010608332322911688 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.161529398832228e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.9326603190344698, "x": 3.2128301259225793, "z": 2.382797217969734, "direct": { "potential": 0.2997971180379497, "ex": 0.08884302190914109, "ez": 0.01168660507190986, "terms": [ { "role": "real", "distance": 3.235554222713794, "potential": 0.30906606138136616, "ex": 0.09485095688076563, "ez": 0.01130115225289045 }, { "role": "image", "distance": 3.723869329344179, "potential": -0.1342689433434165, "ex": -0.03110817033039468, "ez": -0.018230150446369137 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02510023535877015, "ez": 0.018615603265388546 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2997971180379497, "error": -0.04979711803794967, "absoluteError": 0.04979711803794967, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.5956993044924335, "moment": 1.75, "term": 0.06515461142885991, "partial": 0.3151546114288599, "direct": 0.2997971180379497, "error": 0.015357493390910248, "absoluteError": 0.015357493390910248, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.07446241306155418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.009307801632694273 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.03228649205915346, "moment": 3.875, "term": 0.001954846198894057, "partial": 0.31710945762775394, "direct": 0.2997971180379497, "error": 0.01731233958980427, "absoluteError": 0.01731233958980427, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0020179057536970912 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0000630595548030341 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.36507780155472536, "moment": 7.9375, "term": -0.01131955097593997, "partial": 0.305789906651814, "direct": 0.2997971180379497, "error": 0.005992788613864319, "absoluteError": 0.005992788613864319, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.011408681298585167 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00008913032264519662 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.404798905869974, "moment": 15.96875, "term": -0.006312629421983543, "partial": 0.2994772772298305, "direct": 0.2997971180379497, "error": -0.00031984080811919835, "absoluteError": 0.00031984080811919835, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006324982904218344 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012353482234801453 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.14198692679109454, "moment": 31.984375, "term": -0.0011087312284140415, "partial": 0.29836854600141643, "direct": 0.2997971180379497, "error": -0.0014285720365332377, "absoluteError": 0.0014285720365332377, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.001109272865555426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.416371413844854e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.18226631340811106, "moment": 63.9921875, "term": 0.0007118908753995122, "partial": 0.2990804368768159, "direct": 0.2997971180379497, "error": -0.0007166811611337698, "absoluteError": 0.0007166811611337698, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0007119777867504338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -8.691135092168382e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.32334406720450265, "moment": 127.99609375, "term": 0.0006315121084505283, "partial": 0.29971194898526643, "direct": 0.2997971180379497, "error": -0.00008516905268324271, "absoluteError": 0.00008516905268324271, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006315313812587942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.9272808265954414e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.20167166816567203, "moment": 255.998046875, "term": 0.00019694348587202132, "partial": 0.29990889247113844, "direct": 0.2997971180379497, "error": 0.00011177443318877156, "absoluteError": 0.00011177443318877156, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0001969449884430391 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.502571017784417e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.06049401175333191, "moment": 511.9990234375, "term": -0.000029538035336992824, "partial": 0.2998793544358015, "direct": 0.2997971180379497, "error": 0.00008223639785182035, "absoluteError": 0.00008223639785182035, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000029538091676431597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 5.633943877493209e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.24997335873119697, "moment": 1023.99951171875, "term": -0.000061028622933254634, "partial": 0.2998183258128682, "direct": 0.2997971180379497, "error": 0.00002120777491854131, "absoluteError": 0.00002120777491854131, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000061028652033983635 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.910072900485212e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.22928617792370226, "moment": 2047.999755859375, "term": -0.00002798903205452391, "partial": 0.2997903367808137, "direct": 0.2997971180379497, "error": -0.000006781257135990426, "absoluteError": 0.000006781257135990426, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000027989035391076936 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.3365530241819544e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.0326468532075852, "moment": 4095.9998779296875, "term": -0.0000019926057272114964, "partial": 0.2997883441750865, "direct": 0.2997971180379497, "error": -0.000008773862863187265, "absoluteError": 0.000008773862863187265, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000019926057865957765 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.938428004371454e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 0.9817477042468103, "x": 3.325878449210181, "z": 2.222280932078409, "direct": { "potential": 0.29150464317237457, "ex": 0.08413338182330068, "ez": 0.0069727997067606205, "terms": [ { "role": "real", "distance": 3.3332981072334893, "potential": 0.30000317038249, "ex": 0.08980156512159736, "ez": 0.006001775441333081 }, { "role": "image", "distance": 3.745359671369573, "potential": -0.13349852721011546, "ex": -0.031651608682751214, "ez": -0.016390545516435033 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02598342538445454, "ez": 0.01736156978186257 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.29150464317237457, "error": -0.04150464317237457, "absoluteError": 0.04150464317237457, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.5555702330196023, "moment": 1.75, "term": 0.060765494236519, "partial": 0.310765494236519, "direct": 0.29150464317237457, "error": 0.019260851064144435, "absoluteError": 0.019260851064144435, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.06944627912745029 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.008680784890931286 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.03701257427381721, "moment": 3.875, "term": -0.0022409957079850265, "partial": 0.308524498528534, "direct": 0.29150464317237457, "error": 0.017019855356159408, "absoluteError": 0.017019855356159408, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0023132858921135757 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00007229018412854924 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.40465196286966815, "moment": 7.9375, "term": -0.012546581856554651, "partial": 0.2959779166719793, "direct": 0.29150464317237457, "error": 0.004473273499604746, "absoluteError": 0.004473273499604746, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.01264537383967713 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009879198312247757 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.3656625935754838, "moment": 15.96875, "term": -0.005702318887850105, "partial": 0.2902755977841292, "direct": 0.29150464317237457, "error": -0.0012290453882453645, "absoluteError": 0.0012290453882453645, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0057134780246169345 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001115913676682995 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.04195068387897609, "moment": 31.984375, "term": -0.00032757968864541645, "partial": 0.2899480180954838, "direct": 0.29150464317237457, "error": -0.0015566250768907497, "absoluteError": 0.0015566250768907497, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0003277397178045007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 1.6002915908422885e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.26199015074661675, "moment": 63.9921875, "term": 0.0010232740997150125, "partial": 0.2909712921951988, "direct": 0.29150464317237457, "error": -0.0005333509771757727, "absoluteError": 0.0005333509771757727, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010233990263539717 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2492663895922506e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.3062721687946655, "moment": 127.99609375, "term": 0.0005981695744332555, "partial": 0.29156946176963205, "direct": 0.29150464317237457, "error": 0.00006481859725748773, "absoluteError": 0.00006481859725748773, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005981878296770811 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.8255243825594515e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.08980055594296896, "moment": 255.998046875, "term": 0.00008769518634677592, "partial": 0.2916571569559788, "direct": 0.29150464317237457, "error": 0.00015251378360425782, "absoluteError": 0.00015251378360425782, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008769585541305562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.690662797016573e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.17800428687982192, "moment": 511.9990234375, "term": -0.0000869159899236273, "partial": 0.2915702409660552, "direct": 0.29150464317237457, "error": 0.00006559779368064955, "absoluteError": 0.00006559779368064955, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00008691615570303805 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.65779410749508e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.2687188783152626, "moment": 1023.99951171875, "term": -0.00006560516361819246, "partial": 0.291504635802437, "direct": 0.29150464317237457, "error": -7.3699375491287356e-9, "absoluteError": 7.3699375491287356e-9, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006560519490118716 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.128299470004423e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.1231903216265172, "moment": 2047.999755859375, "term": -0.000015037879265269346, "partial": 0.29148959792317175, "direct": 0.29150464317237457, "error": -0.000015045249202816358, "absoluteError": 0.000015045249202816358, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000015037881057924463 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.792655117264326e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.11514729337969985, "moment": 4095.9998779296875, "term": 0.000007028032833742864, "partial": 0.2914966259560055, "direct": 0.29150464317237457, "error": -0.000008017216369060609, "absoluteError": 0.000008017216369060609, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000007028033043194571 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.0945170650465998e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.030835089459151, "x": 3.4309144400010885, "z": 2.0564109767728866, "direct": { "potential": 0.28371190902830523, "ex": 0.0796423444426394, "ez": 0.0029088290305429726, "terms": [ { "role": "real", "distance": 3.431378162329016, "potential": 0.29142809468754655, "ex": 0.08491885674221404, "ez": 0.0013962329107990244 }, { "role": "image", "distance": 3.7674379919551577, "potential": -0.13271618565924131, "ex": -0.03208053136208315, "ez": -0.014553114636294228 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.026804019062508504, "ez": 0.016065710756038177 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.28371190902830523, "error": -0.03371190902830523, "absoluteError": 0.03371190902830523, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.5141027441932217, "moment": 1.75, "term": 0.05622998764613362, "partial": 0.30622998764613363, "direct": 0.28371190902830523, "error": 0.022518078617828396, "absoluteError": 0.022518078617828396, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.06426284302415271 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.008032855378019088 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.10354755261949833, "moment": 3.875, "term": -0.006269480725008688, "partial": 0.2999605069211249, "direct": 0.28371190902830523, "error": 0.016248597892819683, "absoluteError": 0.016248597892819683, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0064717220387186455 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00020224131370995767 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.43145863105577464, "moment": 7.9375, "term": -0.013377745640645356, "partial": 0.2865827612804796, "direct": 0.28371190902830523, "error": 0.002870852252174372, "absoluteError": 0.002870852252174372, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013483082220492958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010533657984760123 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.31051395144071914, "moment": 15.96875, "term": -0.004842304357489242, "partial": 0.2817404569229903, "direct": 0.28371190902830523, "error": -0.001971452105314908, "absoluteError": 0.001971452105314908, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0048517804912612365 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009476133771994603 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.057821970661901645, "moment": 31.984375, "term": 0.0004515135724827296, "partial": 0.28219197049547307, "direct": 0.28371190902830523, "error": -0.0015199385328321657, "absoluteError": 0.0015199385328321657, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0004517341457961066 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -2.2057331337700518e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.31326008815249584, "moment": 63.9921875, "term": 0.0012235228452954737, "partial": 0.28341549334076854, "direct": 0.28371190902830523, "error": -0.00029641568753668857, "absoluteError": 0.00029641568753668857, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012236722193456869 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.4937405021309654e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.24952721408270032, "moment": 127.99609375, "term": 0.0004873429670243169, "partial": 0.28390283630779284, "direct": 0.28371190902830523, "error": 0.00019092727948760713, "absoluteError": 0.00019092727948760713, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00048735784000527405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4872980957192201e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.03357265430067313, "moment": 255.998046875, "term": -0.000032785545079734386, "partial": 0.2838700507627131, "direct": 0.28371190902830523, "error": 0.00015814173440786838, "absoluteError": 0.00015814173440786838, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000032785795215501106 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.5013576671982655e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.2544038006289613, "moment": 511.9990234375, "term": -0.00012422036884385742, "partial": 0.28374583039386925, "direct": 0.28371190902830523, "error": 0.000033921365564015815, "absoluteError": 0.000033921365564015815, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012422060577586 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.369320025937271e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.21828502599880922, "moment": 1023.99951171875, "term": -0.000053292217263768985, "partial": 0.2836925381766055, "direct": 0.28371190902830523, "error": -0.000019370851699729297, "absoluteError": 0.000019370851699729297, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005329224267549053 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.541172155165221e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.017036223432891393, "moment": 2047.999755859375, "term": 0.000002079616870363196, "partial": 0.2836946177934759, "direct": 0.28371190902830523, "error": -0.00001729123482935302, "absoluteError": 0.00001729123482935302, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000002079617118272875 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.4790967920695246e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.21688148149919026, "moment": 4095.9998779296875, "term": 0.000013237394716529444, "partial": 0.2837078551881924, "direct": 0.28371190902830523, "error": -0.000004053840112816509, "absoluteError": 0.000004053840112816509, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013237395111034562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.945051166723538e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.0799224746714913, "x": 3.5276850573934198, "z": 1.8855869473039912, "direct": { "potential": 0.2763983600310698, "ex": 0.07539107150804994, "ez": -0.0005963508992880701, "terms": [ { "role": "real", "distance": 3.529539943219801, "potential": 0.28332304382076384, "ex": 0.08022976169109369, "ez": -0.0026020837469356937 }, { "role": "image", "distance": 3.7900412996029487, "potential": -0.13192468378969402, "ex": -0.03239872969392984, "ez": -0.012725415178164808 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.027560039510886092, "ez": 0.014731148025812432 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2763983600310698, "error": -0.026398360031069823, "absoluteError": 0.026398360031069823, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.4713967368259978, "moment": 1.75, "term": 0.05155901809034351, "partial": 0.3015590180903435, "direct": 0.2763983600310698, "error": 0.0251606580592737, "absoluteError": 0.0251606580592737, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.058924592103249726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.007365574012906216 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.16667767476470147, "moment": 3.875, "term": -0.010091812339269033, "partial": 0.2914672057510745, "direct": 0.2763983600310698, "error": 0.015068845720004664, "absoluteError": 0.015068845720004664, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.010417354672793842 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00032554233352480755 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.4452166778603739, "moment": 7.9375, "term": -0.013804325705143429, "partial": 0.27766288004593104, "direct": 0.2763983600310698, "error": 0.0012645200148612146, "absoluteError": 0.0012645200148612146, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013913021183136684 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010869547799325534 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.24227069989328437, "moment": 15.96875, "term": -0.0037780861708211766, "partial": 0.2738847938751099, "direct": 0.2763983600310698, "error": -0.0025135661559599343, "absoluteError": 0.0025135661559599343, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0037854796858325683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000007393515011391735 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.15060323104345835, "moment": 31.984375, "term": 0.0011760132367933625, "partial": 0.2750608071119032, "direct": 0.2763983600310698, "error": -0.0013375529191665958, "absoluteError": 0.0013375529191665958, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011765877425270184 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.745057336557707e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 63.9921875, "term": 0.0012969029224243556, "partial": 0.2763577100343276, "direct": 0.2763983600310698, "error": -0.00004064999674224801, "absoluteError": 0.00004064999674224801, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012970612550970968 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.5833267274134483e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.1616030183471398, "moment": 127.99609375, "term": 0.00031562126291875424, "partial": 0.27667333129724636, "direct": 0.2763983600310698, "error": 0.000274971266176538, "absoluteError": 0.000274971266176538, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00031563089520925743 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -9.632290503212202e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.14770584206036177, "moment": 255.998046875, "term": -0.00014424288589279114, "partial": 0.27652908841135354, "direct": 0.2763983600310698, "error": 0.0001307283802837178, "absoluteError": 0.0001307283802837178, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00014424398638707205 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.100494280907227e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.27516678111697346, "moment": 511.9990234375, "term": -0.00013435852357323715, "partial": 0.2763947298877803, "direct": 0.2763983600310698, "error": -0.000003630143289523602, "absoluteError": 0.000003630143289523602, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001343587798422722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.5626903503851356e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.11351891527843869, "moment": 1023.99951171875, "term": -0.000027714565710059014, "partial": 0.27636701532207025, "direct": 0.2763983600310698, "error": -0.00003134470899956998, "absoluteError": 0.00003134470899956998, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002771457892540007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.3215341055583987e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.14799149457579938, "moment": 2047.999755859375, "term": 0.000018065365836650203, "partial": 0.2763850806879069, "direct": 0.2763983600310698, "error": -0.000013279343162919677, "absoluteError": 0.000013279343162919677, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000018065367990209885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.1535596835863454e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 4095.9998779296875, "term": 0.000014512381278041204, "partial": 0.27639959306918493, "direct": 0.2763983600310698, "error": 0.000001233038115111551, "absoluteError": 0.000001233038115111551, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000014512381710543882 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.3250267835092194e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.1290098598838318, "x": 3.6159571724937734, "z": 1.7102203737211288, "direct": { "potential": 0.26954146778915616, "ex": 0.071389311272266, "ez": -0.003623794151769647, "terms": [ { "role": "real", "distance": 3.6275499314434647, "potential": 0.2756681558900232, "ex": 0.07575007741826799, "ez": -0.00607054455507356 }, { "role": "image", "distance": 3.813106296220822, "potential": -0.13112668810086703, "ex": -0.0326104315561096, "ez": -0.010914346266392405 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.028249665410107604, "ez": 0.013361096669696319 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.26954146778915616, "error": -0.019541467789156164, "absoluteError": 0.019541467789156164, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.4275550934302822, "moment": 1.75, "term": 0.04676383834393712, "partial": 0.2967638383439371, "direct": 0.26954146778915616, "error": 0.02722237055478094, "absoluteError": 0.02722237055478094, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.053444386678785274 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.006680548334848159 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.22579496312273395, "moment": 3.875, "term": -0.013671179407821782, "partial": 0.28309265893611535, "direct": 0.26954146778915616, "error": 0.013551191146959185, "absoluteError": 0.013551191146959185, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.014112185195170872 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00044100578734908974 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.44593637321023416, "moment": 7.9375, "term": -0.013826640477954037, "partial": 0.2692660184581613, "direct": 0.26954146778915616, "error": -0.00027544933099488134, "absoluteError": 0.00027544933099488134, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013935511662819818 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010887118486577982 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.16431292115370957, "moment": 15.96875, "term": -0.002562374960618457, "partial": 0.26670364349754283, "direct": 0.26954146778915616, "error": -0.0028378242916133334, "absoluteError": 0.0028378242916133334, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.002567389393026712 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000005014432408255297 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.2302940111279689, "moment": 31.984375, "term": 0.0017982934600027174, "partial": 0.26850193695754554, "direct": 0.26954146778915616, "error": -0.0010395308316106244, "absoluteError": 0.0010395308316106244, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.001799171961937257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -8.785019345396763e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.31744362627588885, "moment": 63.9921875, "term": 0.0012398627962235478, "partial": 0.2697417997537691, "direct": 0.26954146778915616, "error": 0.00020033196461294311, "absoluteError": 0.00020033196461294311, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012400141651401908 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.513689166430897e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.05466517771689212, "moment": 127.99609375, "term": 0.00010676466692980551, "partial": 0.26984856442069893, "direct": 0.26954146778915616, "error": 0.00030709663154276923, "absoluteError": 0.00030709663154276923, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00010676792522830492 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.2582984993989538e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.23393996955491125, "moment": 255.998046875, "term": -0.00022845525852987, "partial": 0.26962010916216905, "direct": 0.26954146778915616, "error": 0.00007864137301288876, "absoluteError": 0.00007864137301288876, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022845700151846802 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7429885980107729e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.23752213954636708, "moment": 511.9990234375, "term": -0.00011597738599064402, "partial": 0.2695041317761784, "direct": 0.26954146778915616, "error": -0.00003733601297778444, "absoluteError": 0.00003733601297778444, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00011597760720037455 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.2120973053049956e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.017593751524955882, "moment": 1023.99951171875, "term": 0.0000042953474452151864, "partial": 0.2695084271236236, "direct": 0.26954146778915616, "error": -0.00003304066553255769, "absoluteError": 0.00003304066553255769, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000004295349493397432 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.048182245920864e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.23028996864377696, "moment": 2047.999755859375, "term": 0.000028111565086800953, "partial": 0.2695365386887104, "direct": 0.26954146778915616, "error": -0.000004929100445749679, "absoluteError": 0.000004929100445749679, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000028111568437961055 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.3511601016475027e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.17259055513292185, "moment": 4095.9998779296875, "term": 0.000010534091185871734, "partial": 0.2695470727798963, "direct": 0.26954146778915616, "error": 0.000005604990740148974, "absoluteError": 0.000005604990740148974, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000010534091499812124 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.1394039093888177e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.1780972450961724, "x": 3.695518130045147, "z": 1.5307337294603593, "direct": { "potential": 0.26311768915280453, "ex": 0.06763832497096964, "ez": -0.00624492420102965, "terms": [ { "role": "real", "distance": 3.7251932946034576, "potential": 0.2684424460466685, "ex": 0.07148730083528727, "ez": -0.009077638878613962 }, { "role": "image", "distance": 3.8365695967282596, "potential": -0.13032475689386394, "ex": -0.03272021125529535, "ez": -0.009126142583824746 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02887123539097771, "ez": 0.011958857261409057 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.26311768915280453, "error": -0.013117689152804535, "absoluteError": 0.013117689152804535, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.38268343236508984, "moment": 1.75, "term": 0.041856000414931704, "partial": 0.2918560004149317, "direct": 0.26311768915280453, "error": 0.02873831126212717, "absoluteError": 0.02873831126212717, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.04783542904563623 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.005979428630704529 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.2803300858899106, "moment": 3.875, "term": -0.01697311066911568, "partial": 0.27488288974581604, "direct": 0.26311768915280453, "error": 0.011765200593011504, "absoluteError": 0.011765200593011504, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.017520630368119412 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0005475196990037316 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.4339184206826456, "moment": 7.9375, "term": -0.0134540135319082, "partial": 0.2614288762139078, "direct": 0.26311768915280453, "error": -0.0016888129388967221, "absoluteError": 0.0016888129388967221, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.013559950646332674 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00010593711442447402 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.08034586912079625, "moment": 15.96875, "term": -0.0012529522436745264, "partial": 0.2601759239702333, "direct": 0.26311768915280453, "error": -0.002941765182571221, "absoluteError": 0.002941765182571221, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0012554042050124414 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000024519613379149246 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.2917900771974118, "moment": 31.984375, "term": 0.002278496887295158, "partial": 0.26245442085752846, "direct": 0.26311768915280453, "error": -0.000663268295276076, "absoluteError": 0.000663268295276076, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0022796099781047796 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000011130908096214744 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.271670809432627, "moment": 63.9921875, "term": 0.0010610845566094626, "partial": 0.26351550541413793, "direct": 0.26311768915280453, "error": 0.00039781626133339465, "absoluteError": 0.00039781626133339465, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010612140993461992 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2954273673659659e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.057029933061775964, "moment": 127.99609375, "term": -0.00011138318876237947, "partial": 0.2634041222253755, "direct": 0.26311768915280453, "error": 0.0002864330725709796, "absoluteError": 0.0002864330725709796, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00011138658801128118 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.399248901711462e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.27863272800035815, "moment": 255.998046875, "term": -0.0002721001974622529, "partial": 0.2631320220279133, "direct": 0.26311768915280453, "error": 0.000014332875108769016, "absoluteError": 0.000014332875108769016, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00027210227343784976 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.075975596907423e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.15071541375033626, "moment": 511.9990234375, "term": -0.00007359137025561421, "partial": 0.26305843065765766, "direct": 0.26311768915280453, "error": -0.000059258495146874424, "absoluteError": 0.000059258495146874424, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00007359151062028138 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.4036466716820026e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.14118450069614602, "moment": 1023.99951171875, "term": 0.00003446885580423094, "partial": 0.26309289951346193, "direct": 0.26311768915280453, "error": -0.00002478963934260392, "absoluteError": 0.00002478963934260392, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000034468872240270024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.643603908551694e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.24016022666268785, "moment": 2047.999755859375, "term": 0.00002931643042399388, "partial": 0.2631222159438859, "direct": 0.26311768915280453, "error": 0.000004526791081371773, "absoluteError": 0.000004526791081371773, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002931643391878514 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.4947912596208022e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.046732775754172264, "moment": 4095.9998779296875, "term": 0.0000028523421851456916, "partial": 0.263125068286071, "direct": 0.26311768915280453, "error": 0.0000073791332664829845, "absoluteError": 0.0000073791332664829845, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000028523422701521157 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -8.500642389512407e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.227184630308513, "x": 3.7661762607320832, "z": 1.3475594135688802, "direct": { "potential": 0.2571031749780496, "ex": 0.06413319724745216, "ez": -0.008522159271982369, "terms": [ { "role": "real", "distance": 3.8222718827582742, "potential": 0.2616245077988455, "ex": 0.06744285000543358, "ez": -0.011683588223663695 }, { "role": "image", "distance": 3.8603679340745645, "potential": -0.12952133282079592, "ex": -0.03273290479495081, "ez": -0.007366378966825544 }, { "role": "central-image", "distance": 4.000000000000001, "potential": 0.12499999999999997, "ex": 0.02942325203696938, "ez": 0.01052780791850687 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2571031749780496, "error": -0.007103174978049576, "absoluteError": 0.007103174978049576, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.33688985339222005, "moment": 1.75, "term": 0.036847327714774065, "partial": 0.28684732771477406, "direct": 0.2571031749780496, "error": 0.029744152736724483, "absoluteError": 0.029744152736724483, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.042111231674027506 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.005263903959253438 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.3297578400220527, "moment": 3.875, "term": -0.019965806720085223, "partial": 0.26688152099468887, "direct": 0.2571031749780496, "error": 0.009778346016639294, "absoluteError": 0.009778346016639294, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.020609865001378295 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0006440582812930717 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.4097466862280876, "moment": 7.9375, "term": -0.012704548132560332, "partial": 0.25417697286212854, "direct": 0.2571031749780496, "error": -0.0029262021159210394, "absoluteError": 0.0029262021159210394, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.012804583944627737 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001000358120674042 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.005749253176714847, "moment": 15.96875, "term": 0.00008965662760318868, "partial": 0.2542666294897317, "direct": 0.2571031749780496, "error": -0.0028365454883178542, "absoluteError": 0.0028365454883178542, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.00008983208088616948 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -1.7545328298079977e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.33128370609014285, "moment": 31.984375, "term": 0.0025868902067814727, "partial": 0.25685351969651316, "direct": 0.2571031749780496, "error": -0.0002496552815364206, "absoluteError": 0.0002496552815364206, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002588153953829241 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001263747047768184 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.19982017417529344, "moment": 63.9921875, "term": 0.0007804522736882346, "partial": 0.2576339719702014, "direct": 0.2571031749780496, "error": 0.0005307969921518052, "absoluteError": 0.0005307969921518052, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00078054755537224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -9.528168400540039e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.15893945388078068, "moment": 127.99609375, "term": -0.0003104191473312104, "partial": 0.25732355282287017, "direct": 0.2571031749780496, "error": 0.0002203778448205962, "absoluteError": 0.0002203778448205962, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00031042862086089976 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 9.473529689358513e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.27523969487113625, "moment": 255.998046875, "term": -0.0002687867138270639, "partial": 0.25705476610904315, "direct": 0.2571031749780496, "error": -0.00004840886900642216, "absoluteError": 0.00004840886900642216, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000268788764522594 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0506955301101227e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.033868577405812755, "moment": 511.9990234375, "term": -0.000016537359768861303, "partial": 0.2570382287492743, "direct": 0.2571031749780496, "error": -0.00006494622877528666, "absoluteError": 0.00006494622877528666, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00001653739131143201 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.154257070814516e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.22603676323801275, "moment": 1023.99951171875, "term": 0.00005518473033576292, "partial": 0.25709341347961, "direct": 0.2571031749780496, "error": -0.00000976149843956442, "absoluteError": 0.00000976149843956442, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000055184756649905457 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.6314142537071923e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.1761659187869777, "moment": 2047.999755859375, "term": 0.000021504626194624473, "partial": 0.25711491810580467, "direct": 0.2571031749780496, "error": 0.000011743127755092786, "absoluteError": 0.000011743127755092786, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002150462875817599 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.563551516315459e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.09344905440854791, "moment": 4095.9998779296875, "term": -0.000005703677467257633, "partial": 0.2571092144283374, "direct": 0.2571031749780496, "error": 0.000006039450287820269, "absoluteError": 0.000006039450287820269, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000005703677637240473 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.6998283974052885e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.2762720155208536, "x": 3.8277613429288357, "z": 1.1611387090178493, "direct": { "potential": 0.2514742842249671, "ex": 0.060864638748138716, "ez": -0.010509671862784932, "terms": [ { "role": "real", "distance": 3.9186024503550505, "potential": 0.25519302166245356, "ex": 0.06361378474388868, "ez": -0.013941083785983363 }, { "role": "image", "distance": 3.8844383494891708, "potential": -0.1287187374374865, "ex": -0.032653531487381496, "ez": -0.005639984241003517 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02990438549163153, "ez": 0.009071396164201948 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2514742842249671, "error": -0.0014742842249670929, "absoluteError": 0.0014742842249670929, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.29028467725446233, "moment": 1.75, "term": 0.031749886574706815, "partial": 0.2817498865747068, "direct": 0.2514742842249671, "error": 0.030275602349739694, "absoluteError": 0.030275602349739694, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.03628558465680779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.004535698082100974 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.37360220922690895, "moment": 3.875, "term": -0.022620446261785502, "partial": 0.2591294403129213, "direct": 0.2514742842249671, "error": 0.007655156087954196, "absoluteError": 0.007655156087954196, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02335013807668181 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0007296918148963066 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.3742747793812871, "moment": 7.9375, "term": -0.011604711177105338, "partial": 0.24752472913581597, "direct": 0.2514742842249671, "error": -0.003949555089151124, "absoluteError": 0.003949555089151124, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.011696086855665222 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009137567855988455 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.09007074823011321, "moment": 15.96875, "term": 0.0014046066999996293, "partial": 0.2489293358358156, "direct": 0.2514742842249671, "error": -0.00254494838915148, "absoluteError": 0.00254494838915148, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.001407355441095519 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000027487410958896854 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.3464829080491131, "moment": 31.984375, "term": 0.0027055759917317753, "partial": 0.2516349118275474, "direct": 0.2514742842249671, "error": 0.00016062760258028774, "absoluteError": 0.00016062760258028774, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002706897719133696 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.00000132172740192075 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.1093352882264836, "moment": 63.9921875, "term": 0.0004270388345065723, "partial": 0.25206195066205395, "direct": 0.2514742842249671, "error": 0.0005876664370868534, "absoluteError": 0.0005876664370868534, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00042709096963470156 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -5.213512812923603e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.23804268331073558, "moment": 127.99609375, "term": -0.0004649129273917003, "partial": 0.25159703773466224, "direct": 0.2514742842249671, "error": 0.00012275350969515042, "absoluteError": 0.00012275350969515042, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00046492711584128043 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.41884495801172e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2252311462562539, "moment": 255.998046875, "term": -0.00021995061316306482, "partial": 0.2513770871214992, "direct": 0.2514742842249671, "error": -0.00009719710346789423, "absoluteError": 0.00009719710346789423, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00021995229126587295 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.6781028081197582e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.08809576736764968, "moment": 511.9990234375, "term": 0.00004301542936440832, "partial": 0.2514201025508636, "direct": 0.2514742842249671, "error": -0.000054181674103481736, "absoluteError": 0.000054181674103481736, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000043015511409985195 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -8.204557687756576e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.251296449286453, "moment": 1023.99951171875, "term": 0.00006135164293431842, "partial": 0.2514814541937979, "direct": 0.2514742842249671, "error": 0.000007169968830822437, "absoluteError": 0.000007169968830822437, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00006135167218907544 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.925475701764843e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.05917636441145646, "moment": 2047.999755859375, "term": 0.000007223676435190931, "partial": 0.2514886778702331, "direct": 0.2514742842249671, "error": 0.000014393645266008726, "absoluteError": 0.000014393645266008726, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000007223677296320369 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -8.611294384384595e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.19743059414439376, "moment": 4095.9998779296875, "term": -0.00001205020680300925, "partial": 0.2514766276634301, "direct": 0.2514742842249671, "error": 0.0000023434384630038885, "absoluteError": 0.0000023434384630038885, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012050207162133408 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.5912415868441487e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.325359400733194, "x": 3.880125012778176, "z": 0.9719207196130559, "direct": { "potential": 0.24620794783307065, "ex": 0.057820378145294615, "ez": -0.012254196219741418, "terms": [ { "role": "real", "distance": 4.014015087359262, "potential": 0.24912711542842741, "ex": 0.05999412403833443, "ez": -0.01589606408702122 }, { "role": "image", "distance": 3.9087183680059305, "potential": -0.12791916759535676, "ex": -0.03248722255536931, "ez": -0.003951262754697196 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.0303134766623295, "ez": 0.0075931306219769994 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.24620794783307065, "error": 0.0037920521669293494, "absoluteError": 0.0037920521669293494, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.24298017990326398, "moment": 1.75, "term": 0.026575957176919497, "partial": 0.2765759571769195, "direct": 0.24620794783307065, "error": 0.030368009343848867, "absoluteError": 0.030368009343848867, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.030372522487907998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0037965653109884997 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.4114409482612662, "moment": 3.875, "term": -0.024911463664256353, "partial": 0.2516644935126631, "direct": 0.24620794783307065, "error": 0.005456545679592473, "absoluteError": 0.005456545679592473, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.025715059266329138 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008035956020727856 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.3286067793156626, "moment": 7.9375, "term": -0.010188735589133094, "partial": 0.24147575792353004, "direct": 0.24620794783307065, "error": -0.004732189909540607, "absoluteError": 0.004732189909540607, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.010268961853614457 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00008022626448136294 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.1688520760737339, "moment": 15.96875, "term": 0.0026331607322289436, "partial": 0.24410891865575898, "direct": 0.24620794783307065, "error": -0.0020990291773116676, "absoluteError": 0.0020990291773116676, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.002638313688652092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000051529564231486175 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.336735297531114, "moment": 31.984375, "term": 0.0026294599687430964, "partial": 0.2467383786245021, "direct": 0.24620794783307065, "error": 0.0005304307914314466, "absoluteError": 0.0005304307914314466, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.002630744511961828 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000012845432187313613 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.009293275757351968, "moment": 63.9921875, "term": 0.00003629742704795359, "partial": 0.24677467605155004, "direct": 0.24620794783307065, "error": 0.0005667282184793898, "absoluteError": 0.0005667282184793898, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.000036301858427156124 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.4313792025337065e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2844366745123325, "moment": 127.99609375, "term": -0.000555523426159954, "partial": 0.2462191526253901, "direct": 0.24620794783307065, "error": 0.000011204792319446932, "absoluteError": 0.000011204792319446932, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005555403799068994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.6953746945400984e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.13771750568285676, "moment": 255.998046875, "term": -0.0001344887255680391, "partial": 0.24608466389982206, "direct": 0.24620794783307065, "error": -0.00012328393324859133, "absoluteError": 0.00012328393324859133, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001344897516434148 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.0260753756974396e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.18962542032062463, "moment": 511.9990234375, "term": 0.00009259036066349533, "partial": 0.24617725426048553, "direct": 0.24620794783307065, "error": -0.00003069357258511651, "absoluteError": 0.00003069357258511651, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009259053726593 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.766024346655464e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.2114886707276722, "moment": 1023.99951171875, "term": 0.00005163295163135143, "partial": 0.2462288872121169, "direct": 0.24620794783307065, "error": 0.00002093937904623644, "absoluteError": 0.00002093937904623644, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005163297625187309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.4620521665512606e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.07428323115700869, "moment": 2047.999755859375, "term": -0.000009067776159882504, "partial": 0.24621981943595703, "direct": 0.24620794783307065, "error": 0.000011871602886376342, "absoluteError": 0.000011871602886376342, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000009067777240845787 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.0809632826859697e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.22845920783515714, "moment": 4095.9998779296875, "term": -0.000013944043031405161, "partial": 0.2462058753929256, "direct": 0.24620794783307065, "error": -0.0000020724401450511465, "absoluteError": 0.0000020724401450511465, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001394404344697004 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.1556487819463134e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.3744467859455345, "x": 3.9231411216129217, "z": 0.7803612880645133, "direct": { "potential": 0.2412819179026214, "ex": 0.05498622694429016, "ez": -0.013795829653590032, "terms": [ { "role": "real", "distance": 4.108351840792357, "potential": 0.24340661139848602, "ex": 0.056575844025983535, "ez": -0.017588480096822193 }, { "role": "image", "distance": 3.933146159493121, "potential": -0.1271246934958646, "ex": -0.03223915709429433, "ez": -0.0023039221197718486 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.03064954001260095, "ez": 0.00609657256300401 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2412819179026214, "error": 0.008718082097378593, "absoluteError": 0.008718082097378593, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.19509032201612833, "moment": 1.75, "term": 0.021338003970514035, "partial": 0.27133800397051405, "direct": 0.2412819179026214, "error": 0.030056086067892646, "absoluteError": 0.030056086067892646, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.02438629025201604 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.003048286281502005 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.442909649383465, "moment": 3.875, "term": -0.026816795177514483, "partial": 0.24452120879299954, "direct": 0.2412819179026214, "error": 0.003239290890378138, "absoluteError": 0.003239290890378138, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.027681853086466562 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008650579089520801 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.2740725248812033, "moment": 7.9375, "term": -0.008497854165017778, "partial": 0.23602335462798177, "direct": 0.2412819179026214, "error": -0.005258563274639638, "absoluteError": 0.005258563274639638, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.008564766402537604 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00006691223751982503 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.23861166705161596, "moment": 15.96875, "term": 0.0037210254474907153, "partial": 0.2397443800754725, "direct": 0.2412819179026214, "error": -0.0015375378271489104, "absoluteError": 0.0015375378271489104, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0037283072976814994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000072818501907841785 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.3030495084363916, "moment": 31.984375, "term": 0.002366418242528128, "partial": 0.24211079831800061, "direct": 0.2412819179026214, "error": 0.0008288804153792073, "absoluteError": 0.0008288804153792073, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0023675742846593095 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000011560421311813035 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.09045267453225737, "moment": 63.9921875, "term": -0.00035328762869535455, "partial": 0.24175751068930526, "direct": 0.2412819179026214, "error": 0.00047559278668385385, "absoluteError": 0.00047559278668385385, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00035333075989163037 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 4.3131196275833785e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2925286841200979, "moment": 127.99609375, "term": -0.0005713276501037627, "partial": 0.2411861830392015, "direct": 0.2412819179026214, "error": -0.00009573486341990511, "absoluteError": 0.00009573486341990511, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005713450861720662 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.743606830359089e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.027859250754170145, "moment": 255.998046875, "term": -0.000027206091997026167, "partial": 0.24115897694720448, "direct": 0.2412819179026214, "error": -0.00012294095541692807, "absoluteError": 0.00012294095541692807, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000027206299564619282 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.075675931138556e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.24975925328309756, "moment": 511.9990234375, "term": 0.00012195252778570667, "partial": 0.2412809294749902, "direct": 0.2412819179026214, "error": -9.884276312155382e-7, "absoluteError": 9.884276312155382e-7, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012195276039213748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.3260643080165382e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.11765199066281692, "moment": 1023.99951171875, "term": 0.00002872361683641993, "partial": 0.2413096530918266, "direct": 0.2412819179026214, "error": 0.000027735189205180255, "absoluteError": 0.000027735189205180255, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028723630532914288 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3696494356591362e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.1832349521092526, "moment": 2047.999755859375, "term": -0.00002236754519847951, "partial": 0.24128728554662812, "direct": 0.2412819179026214, "error": 0.000005367644006715189, "absoluteError": 0.000005367644006715189, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000022367547864899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.666419489967704e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.17636344257982306, "moment": 4095.9998779296875, "term": -0.00001076436995384417, "partial": 0.24127652117667428, "direct": 0.2412819179026214, "error": -0.0000053967259471265905, "absoluteError": 0.0000053967259471265905, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010764370274647404 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.2080323322556625e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.423534171157875, "x": 3.956706039859124, "z": 0.586921897821447, "direct": { "potential": 0.23667493020603658, "ex": 0.05234688632254786, "ez": -0.015168795607805752, "terms": [ { "role": "real", "distance": 4.201465507262224, "potential": 0.23801218843079924, "ex": 0.05334962591412846, "ez": -0.019053017176215725 }, { "role": "image", "distance": 3.957660685579116, "potential": -0.12633725822476266, "ex": -0.03191450552798001, "ez": -0.000701105758320083 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.030911765936399407, "ez": 0.004585327326730055 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.23667493020603658, "error": 0.013325069793963418, "absoluteError": 0.013325069793963418, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.14673047445536175, "moment": 1.75, "term": 0.016048645643555192, "partial": 0.2660486456435552, "direct": 0.23667493020603658, "error": 0.0293737154375186, "absoluteError": 0.0293737154375186, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.01834130930692022 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0022926636633650273 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 3.875, "term": -0.028318091417527065, "partial": 0.23773055422602812, "direct": 0.23667493020603658, "error": 0.0010556240199915412, "absoluteError": 0.0010556240199915412, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.029231578237447292 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009134868199202279 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.21219800547316567, "moment": 7.9375, "term": -0.006579381517356455, "partial": 0.23115117270867166, "direct": 0.23667493020603658, "error": -0.005523757497364917, "absoluteError": 0.005523757497364917, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.006631187671036427 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00005180615367997209 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.29629108931163917, "moment": 15.96875, "term": 0.004620506184028553, "partial": 0.23577167889270023, "direct": 0.23667493020603658, "error": -0.0009032513133363507, "absoluteError": 0.0009032513133363507, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.004629548270494362 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.0000090420864658093 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.24801328217939952, "moment": 31.984375, "term": 0.0019366576714371904, "partial": 0.23770833656413742, "direct": 0.23667493020603658, "error": 0.0010334063581008412, "absoluteError": 0.0010334063581008412, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0019376037670265588 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -9.460955893684369e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.18019221238977212, "moment": 63.9921875, "term": -0.0007037899073050611, "partial": 0.23700454665683235, "direct": 0.23667493020603658, "error": 0.0003296164507957666, "absoluteError": 0.0003296164507957666, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0007038758296475474 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 8.592234248627287e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.26168509252840866, "moment": 127.99609375, "term": -0.000511088098697565, "partial": 0.23649345855813478, "direct": 0.23667493020603658, "error": -0.00018147164790180415, "absoluteError": 0.00018147164790180415, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005111036963445482 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.5597646983171025e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.08567347749494691, "moment": 255.998046875, "term": 0.00008366486704901, "partial": 0.2365771234251838, "direct": 0.23667493020603658, "error": -0.00009780678085277716, "absoluteError": 0.00009780678085277716, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0000836655053661591 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.383171490948417e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.25635402336061475, "moment": 511.9990234375, "term": 0.00012517262422076113, "partial": 0.23670229604940457, "direct": 0.23667493020603658, "error": 0.000027365843367987974, "absoluteError": 0.000027365843367987974, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012517286296905017 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.3874828904924425e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.005637729540588832, "moment": 1023.99951171875, "term": -0.0000013763981573022214, "partial": 0.23670091965124726, "direct": 0.23667493020603658, "error": 0.00002598944521067792, "absoluteError": 0.00002598944521067792, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000013763988136203202 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 6.563180988408662e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.23462836317666555, "moment": 2047.999755859375, "term": -0.000028641154200047004, "partial": 0.23667227849704722, "direct": 0.23667493020603658, "error": -0.0000026517089893596246, "absoluteError": 0.0000026517089893596246, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000028641157614339056 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.4142920511173077e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.06081741576618794, "moment": 4095.9998779296875, "term": -0.0000037120003633842594, "partial": 0.23666856649668383, "direct": 0.23667493020603658, "error": -0.0000063637093527524335, "absoluteError": 0.0000063637093527524335, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000037120004740104943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.1062623482973857e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.4726215563702154, "x": 3.9807389066887873, "z": 0.3920685613182431, "direct": { "potential": 0.23236680190094486, "ex": 0.04988655229323046, "ez": -0.01640215112113584, "terms": [ { "role": "real", "distance": 4.2932185775624125, "potential": 0.23292548048363665, "ex": 0.05030541007711105, "ez": -0.02031975778739228 }, { "role": "image", "distance": 3.982201832991612, "potential": -0.12555867858269182, "ex": -0.03151838049238675, "ez": 0.0008545710309576645 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.03109952270850616, "ez": 0.003063035635298775 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.23236680190094486, "error": 0.017633198099055142, "absoluteError": 0.017633198099055142, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.09801714032956077, "moment": 1.75, "term": 0.01072062472354571, "partial": 0.26072062472354574, "direct": 0.23236680190094486, "error": 0.028353822822600877, "absoluteError": 0.028353822822600877, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.012252142541195096 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.001531517817649387 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.48558896030242277, "moment": 3.875, "term": -0.029400894080810754, "partial": 0.23131973064273495, "direct": 0.23236680190094486, "error": -0.0010470712582099084, "absoluteError": 0.0010470712582099084, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.030349310018901423 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009484159380906695 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.14467149566045398, "moment": 7.9375, "term": -0.004485664050018959, "partial": 0.226834066592716, "direct": 0.23236680190094486, "error": -0.00553273530822887, "absoluteError": 0.00553273530822887, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.004520984239389187 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00003532018937022802 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.3393762192161003, "moment": 15.96875, "term": 0.005292396484967873, "partial": 0.23212646307768386, "direct": 0.23236680190094486, "error": -0.00024033882326099376, "absoluteError": 0.00024033882326099376, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005302753425251567 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000010356940283694467 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.1756136322345197, "moment": 31.984375, "term": 0.0013713115889894937, "partial": 0.23349777466667337, "direct": 0.23236680190094486, "error": 0.0011309727657285162, "absoluteError": 0.0011309727657285162, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0013719815018321852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -6.699128426914967e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.25125608161680646, "moment": 63.9921875, "term": -0.0009813492605797109, "partial": 0.23251642540609366, "direct": 0.23236680190094486, "error": 0.0001496235051487993, "absoluteError": 0.0001496235051487993, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009814690688156502 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.1980823593941043e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.19626257533478422, "moment": 127.99609375, "term": -0.0003833136442896649, "partial": 0.23213311176180398, "direct": 0.23236680190094486, "error": -0.0002336901391408741, "absoluteError": 0.0002336901391408741, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00038332534245075044 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.1698161085533155e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.1837795156871484, "moment": 255.998046875, "term": 0.00017947081402413717, "partial": 0.23231258257582812, "direct": 0.23236680190094486, "error": -0.00005421932511673333, "absoluteError": 0.00005421932511673333, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017947218328823086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3692640936907261e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.20848120294644165, "moment": 511.9990234375, "term": 0.00010179726821294152, "partial": 0.23241437984404106, "direct": 0.23236680190094486, "error": 0.00004757794309620533, "absoluteError": 0.00004757794309620533, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00010179746237619221 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.9416325068701212e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.12657557460040725, "moment": 1023.99951171875, "term": -0.000030902225157341295, "partial": 0.23238347761888373, "direct": 0.23236680190094486, "error": 0.000016675717938868795, "absoluteError": 0.000016675717938868795, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003090223989267755 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4735336252535606e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.21321364749821614, "moment": 2047.999755859375, "term": -0.000026027053476705164, "partial": 0.23235745056540702, "direct": 0.23236680190094486, "error": -0.00000935133553783829, "absoluteError": 0.00000935133553783829, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000026027056579372088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.1026669239249334e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.07597197537027052, "moment": 4095.9998779296875, "term": 0.0000046369612491533945, "partial": 0.23236208752665619, "direct": 0.23236680190094486, "error": -0.000004714374288672385, "absoluteError": 0.000004714374288672385, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000004636961387345613 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.3819221816496887e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.521708941582556, "x": 3.9951818248206896, "z": 0.1962706973096725, "direct": { "potential": 0.22833848136683768, "ex": 0.0475893642527568, "ez": -0.017520430918042826, "terms": [ { "role": "real", "distance": 4.383482315552477, "potential": 0.22812912839913302, "ex": 0.04743280116668744, "ez": -0.02141477838167678 }, { "role": "image", "distance": 4.006710533928091, "potential": -0.12479064703229534, "ex": -0.031055794920342276, "ez": 0.002360982640902138 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.031212358006411638, "ez": 0.0015333648227318164 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.22833848136683768, "error": 0.02166151863316232, "absoluteError": 0.02166151863316232, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.049067674327418126, "moment": 1.75, "term": 0.005366776879561358, "partial": 0.25536677687956133, "direct": 0.22833848136683768, "error": 0.02702829551272365, "absoluteError": 0.02702829551272365, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.006133459290927266 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.0007666824113659082 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 3.875, "term": -0.030054775185798, "partial": 0.22531200169376336, "direct": 0.22833848136683768, "error": -0.003026479673074317, "absoluteError": 0.003026479673074317, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.031024284062759228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009695088769612259 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.0733061686618195, "moment": 7.9375, "term": -0.0022729207568484076, "partial": 0.22303908093691496, "direct": 0.22833848136683768, "error": -0.005299400429922718, "absoluteError": 0.005299400429922718, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0022908177706818596 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000017897013833452028 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.36599672313545506, "moment": 15.96875, "term": 0.005707529465399705, "partial": 0.22874661040231464, "direct": 0.22833848136683768, "error": 0.0004081290354769618, "absoluteError": 0.0004081290354769618, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005718698798991485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011169333591780245 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.09097042935773851, "moment": 31.984375, "term": 0.0007103594547092085, "partial": 0.22945696985702385, "direct": 0.22833848136683768, "error": 0.0011184884901861702, "absoluteError": 0.0011184884901861702, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0007107064793573321 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -3.470246481236973e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.2968138057107692, "moment": 63.9921875, "term": -0.0011592873967060616, "partial": 0.2282976824603178, "direct": 0.22833848136683768, "error": -0.00004079890651986773, "absoluteError": 0.00004079890651986773, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0011594289285576922 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.4153185163057766e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.10502201387927136, "moment": 127.99609375, "term": -0.00020511486105812102, "partial": 0.2280925675992597, "direct": 0.22833848136683768, "error": -0.00024591376757798766, "absoluteError": 0.00024591376757798766, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00020512112085795188 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 6.2597998308701135e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.2500498562952274, "moment": 255.998046875, "term": 0.00024418744977170045, "partial": 0.2283367550490314, "direct": 0.22833848136683768, "error": -0.0000017263178062887352, "absoluteError": 0.0000017263178062887352, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.000244189312788308 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.863016607576813e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.11652836828638595, "moment": 511.9990234375, "term": 0.00005689850880183692, "partial": 0.22839365355783323, "direct": 0.22833848136683768, "error": 0.000055172190995544934, "absoluteError": 0.000055172190995544934, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00005689861732733689 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.0852549996821764e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.2141810962182392, "moment": 1023.99951171875, "term": -0.000052290281759944805, "partial": 0.22834136327607327, "direct": 0.22833848136683768, "error": 0.0000028819092355858444, "absoluteError": 0.0000028819092355858444, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005229030669390605 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.4933961245492007e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.12599821969697317, "moment": 2047.999755859375, "term": -0.000015380640219337758, "partial": 0.22832598263585394, "direct": 0.22833848136683768, "error": -0.000012498730983745432, "absoluteError": 0.000012498730983745432, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001538064205285317 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.833515411955496e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.18448299561436196, "moment": 4095.9998779296875, "term": 0.000011259948127218033, "partial": 0.22833724258398116, "direct": 0.22833848136683768, "error": -0.0000012387828565163517, "absoluteError": 0.0000012387828565163517, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011259948462790647 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.355726141569211e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.5707963267948966, "x": 4, "z": 2.4492935982947064e-16, "direct": { "potential": 0.2245720631607705, "ex": 0.04543973257419062, "ez": -0.018544226403022245, "terms": [ { "role": "real", "distance": 4.47213595499958, "potential": 0.22360679774997896, "ex": 0.04472135954999579, "ez": -0.02236067977499789 }, { "role": "image", "distance": 4.031128874149275, "potential": -0.12403473458920847, "ex": -0.03053162697580517, "ez": 0.0038164533719756443 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.03125, "ez": 1.9135106236677394e-18 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2245720631607705, "error": 0.025427936839229504, "absoluteError": 0.025427936839229504, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 6.123233995736766e-17, "moment": 1.75, "term": 6.697287182837088e-18, "partial": 0.25, "direct": 0.2245720631607705, "error": 0.025427936839229504, "absoluteError": 0.025427936839229504, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 7.654042494670958e-18 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -9.567553118338697e-19 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.5, "moment": 3.875, "term": -0.0302734375, "partial": 0.2197265625, "direct": 0.2245720631607705, "error": -0.0048455006607704965, "absoluteError": 0.0048455006607704965, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009765625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -9.18485099360515e-17, "moment": 7.9375, "term": -2.847841982880503e-18, "partial": 0.2197265625, "direct": 0.2245720631607705, "error": -0.0048455006607704965, "absoluteError": 0.0048455006607704965, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -2.8702659355016093e-18 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 2.2423952621106322e-20 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.375, "moment": 15.96875, "term": 0.005847930908203125, "partial": 0.22557449340820312, "direct": 0.2245720631607705, "error": 0.0010024302474326285, "absoluteError": 0.0010024302474326285, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005859375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011444091796875 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 1.1481063742006435e-16, "moment": 31.984375, "term": 8.965201370196217e-19, "partial": 0.22557449340820312, "direct": 0.2245720631607705, "error": 0.0010024302474326285, "absoluteError": 0.0010024302474326285, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 8.969581048442527e-19 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -4.379678246309828e-22 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.3125, "moment": 63.9921875, "term": -0.0012205541133880615, "partial": 0.22435393929481506, "direct": 0.2245720631607705, "error": -0.00021812386595543298, "absoluteError": 0.00021812386595543298, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.4901161193847656e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -1.3394574365674174e-16, "moment": 127.99609375, "term": -2.6160479679110385e-19, "partial": 0.22435393929481506, "direct": 0.2245720631607705, "error": -0.00021812386595543298, "absoluteError": 0.00021812386595543298, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -2.616127805795737e-19 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.983788469835624e-24 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.2734375, "moment": 255.998046875, "term": 0.00026702677132561803, "partial": 0.22462096606614068, "direct": 0.2245720631607705, "error": 0.000048902905370185046, "absoluteError": 0.000048902905370185046, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00026702880859375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.0372681319713593e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 1.5068896161383446e-16, "moment": 511.9990234375, "term": 7.357845419797341e-20, "partial": 0.22462096606614068, "direct": 0.2245720631607705, "error": 0.000048902905370185046, "absoluteError": 0.000048902905370185046, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 7.357859453800511e-20 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.4034003169632932e-25 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.24609375, "moment": 1023.99951171875, "term": -0.000060081453284510644, "partial": 0.22456088461285617, "direct": 0.2245720631607705, "error": -0.000011178547914325598, "absoluteError": 0.000011178547914325598, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006008148193359375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.864908310584724e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -1.6575785777521791e-16, "moment": 2047.999755859375, "term": -2.023411108585711e-20, "partial": 0.22456088461285617, "direct": 0.2245720631607705, "error": -0.000011178547914325598, "absoluteError": 0.000011178547914325598, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -2.0234113497951405e-20 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.4120942947806603e-27 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.2255859375, "moment": 4095.9998779296875, "term": 0.000013768672532776804, "partial": 0.22457465328538895, "direct": 0.2245720631607705, "error": 0.000002590124618451206, "absoluteError": 0.000002590124618451206, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013768672943115234 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.1033842990145786e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.6198837120072371, "x": 3.9951818248206896, "z": -0.19627069730967203, "direct": { "potential": 0.2210507780054941, "ex": 0.04342257323707577, "ez": -0.01949070147390936, "terms": [ { "role": "real", "distance": 4.559065999658119, "potential": 0.21934317249958415, "ex": 0.042160806625343515, "ez": -0.0231770538179041 }, { "role": "image", "distance": 4.055400189538595, "potential": -0.12329239449409005, "ex": -0.02995059139467939, "ez": 0.005219717166726556 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.031212358006411638, "ez": -0.0015333648227318127 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2210507780054941, "error": 0.02894922199450589, "absoluteError": 0.02894922199450589, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.04906767432741801, "moment": 1.75, "term": -0.005366776879561345, "partial": 0.24463322312043864, "direct": 0.2210507780054941, "error": 0.023582445114944534, "absoluteError": 0.023582445114944534, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.006133459290927251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0007666824113659064 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 3.875, "term": -0.030054775185798, "partial": 0.21457844793464065, "direct": 0.2210507780054941, "error": -0.00647233007085346, "absoluteError": 0.00647233007085346, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.031024284062759228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009695088769612259 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.07330616866181933, "moment": 7.9375, "term": 0.002272920756848402, "partial": 0.21685136869148905, "direct": 0.2210507780054941, "error": -0.004199409314005059, "absoluteError": 0.004199409314005059, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.002290817770681854 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000017897013833451984 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.3659967231354551, "moment": 15.96875, "term": 0.005707529465399706, "partial": 0.22255889815688876, "direct": 0.2210507780054941, "error": 0.0015081201513946485, "absoluteError": 0.0015081201513946485, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005718698798991486 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011169333591780246 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.09097042935773829, "moment": 31.984375, "term": -0.0007103594547092067, "partial": 0.22184853870217955, "direct": 0.2210507780054941, "error": 0.00079776069668544, "absoluteError": 0.00079776069668544, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0007107064793573304 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 3.470246481236965e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.29681380571076926, "moment": 63.9921875, "term": -0.0011592873967060618, "partial": 0.22068925130547348, "direct": 0.2210507780054941, "error": -0.0003615267000206257, "absoluteError": 0.0003615267000206257, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0011594289285576924 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.415318516305777e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.10502201387927111, "moment": 127.99609375, "term": 0.00020511486105812053, "partial": 0.2208943661665316, "direct": 0.2210507780054941, "error": -0.00015641183896250577, "absoluteError": 0.00015641183896250577, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002051211208579514 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -6.2597998308700986e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.25004985629522747, "moment": 255.998046875, "term": 0.0002441874497717005, "partial": 0.2211385536163033, "direct": 0.2210507780054941, "error": 0.00008777561080919316, "absoluteError": 0.00008777561080919316, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002441893127883081 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.8630166075768133e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.11652836828638567, "moment": 511.9990234375, "term": -0.000056898508801836786, "partial": 0.22108165510750147, "direct": 0.2210507780054941, "error": 0.00003087710200735949, "absoluteError": 0.00003087710200735949, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000056898617327336754 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.0852549996821738e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.21418109621823928, "moment": 1023.99951171875, "term": -0.000052290281759944826, "partial": 0.22102936482574154, "direct": 0.2210507780054941, "error": -0.000021413179752571843, "absoluteError": 0.000021413179752571843, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005229030669390607 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.4933961245492016e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.12599821969697286, "moment": 2047.999755859375, "term": 0.00001538064021933772, "partial": 0.22104474546596087, "direct": 0.2210507780054941, "error": -0.000006032539533240566, "absoluteError": 0.000006032539533240566, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000015380642052853133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.8335154119554916e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.18448299561436207, "moment": 4095.9998779296875, "term": 0.00001125994812721804, "partial": 0.2210560054140881, "direct": 0.2210507780054941, "error": 0.000005227408593988514, "absoluteError": 0.000005227408593988514, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011259948462790654 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.355726141569213e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.6689710972195777, "x": 3.9807389066887877, "z": -0.3920685613182426, "direct": { "potential": 0.21775896532393874, "ex": 0.0415234713273479, "ez": -0.020374049113468625, "terms": [ { "role": "real", "distance": 4.6441656134630875, "potential": 0.21532393183849324, "ex": 0.0397411653460662, "ez": -0.023880891071439217 }, { "role": "image", "distance": 4.079469151901782, "potential": -0.12256496651455451, "ex": -0.029317216727224454, "ez": 0.006569877593269361 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.031099522708506154, "ez": -0.00306303563529877 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.21775896532393874, "error": 0.032241034676061264, "absoluteError": 0.032241034676061264, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.09801714032956065, "moment": 1.75, "term": -0.010720624723545695, "partial": 0.2392793752764543, "direct": 0.21775896532393874, "error": 0.021520409952515557, "absoluteError": 0.021520409952515557, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.01225214254119508 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.001531517817649385 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.4855889603024228, "moment": 3.875, "term": -0.029400894080810758, "partial": 0.20987848119564356, "direct": 0.21775896532393874, "error": -0.007880484128295173, "absoluteError": 0.007880484128295173, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.030349310018901426 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009484159380906696 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.1446714956604538, "moment": 7.9375, "term": 0.004485664050018954, "partial": 0.2143641452456625, "direct": 0.21775896532393874, "error": -0.0033948200782762394, "absoluteError": 0.0033948200782762394, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.004520984239389182 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00003532018937022798 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.3393762192161004, "moment": 15.96875, "term": 0.0052923964849678744, "partial": 0.21965654173063037, "direct": 0.21775896532393874, "error": 0.0018975764066916367, "absoluteError": 0.0018975764066916367, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.005302753425251569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00001035694028369447 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.1756136322345195, "moment": 31.984375, "term": -0.0013713115889894922, "partial": 0.2182852301416409, "direct": 0.21775896532393874, "error": 0.0005262648177021545, "absoluteError": 0.0005262648177021545, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0013719815018321836 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 6.699128426914959e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.2512560816168066, "moment": 63.9921875, "term": -0.0009813492605797115, "partial": 0.21730388088106117, "direct": 0.21775896532393874, "error": -0.00045508444287756245, "absoluteError": 0.00045508444287756245, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009814690688156509 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.198082359394105e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.196262575334784, "moment": 127.99609375, "term": 0.00038331364428966446, "partial": 0.21768719452535085, "direct": 0.21775896532393874, "error": -0.00007177079858788904, "absoluteError": 0.00007177079858788904, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00038332534245075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.1698161085533142e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.18377951568714862, "moment": 255.998046875, "term": 0.0001794708140241374, "partial": 0.217866665339375, "direct": 0.21775896532393874, "error": 0.00010770001543625174, "absoluteError": 0.00010770001543625174, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017947218328823107 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3692640936907278e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.20848120294644146, "moment": 511.9990234375, "term": -0.00010179726821294143, "partial": 0.21776486807116202, "direct": 0.21775896532393874, "error": 0.000005902747223285321, "absoluteError": 0.000005902747223285321, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00010179746237619212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.9416325068701194e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.12657557460040753, "moment": 1023.99951171875, "term": -0.00003090222515734136, "partial": 0.21773396584600468, "direct": 0.21775896532393874, "error": -0.000024999477934051217, "absoluteError": 0.000024999477934051217, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003090223989267762 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4735336252535638e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.21321364749821595, "moment": 2047.999755859375, "term": 0.00002602705347670514, "partial": 0.2177599928994814, "direct": 0.21775896532393874, "error": 0.0000010275755426558675, "absoluteError": 0.0000010275755426558675, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000026027056579372064 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.1026669239249306e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.07597197537027085, "moment": 4095.9998779296875, "term": 0.000004636961249153415, "partial": 0.21776462986073056, "direct": 0.21775896532393874, "error": 0.000005664536791821773, "absoluteError": 0.000005664536791821773, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000004636961387345633 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.3819221816496948e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.718058482431918, "x": 3.956706039859124, "z": -0.5869218978214465, "direct": { "potential": 0.21468203397811264, "ex": 0.03972879035936733, "ez": -0.021205893727612984, "terms": [ { "role": "real", "distance": 4.727334089239493, "potential": 0.2115357157168628, "ex": 0.03745285236353518, "ez": -0.024486935076570033 }, { "role": "image", "distance": 4.103281844794658, "potential": -0.12185368173875018, "ex": -0.02863582794056726, "ez": 0.0078663686756871 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.030911765936399407, "ez": -0.004585327326730051 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.21468203397811264, "error": 0.03531796602188736, "absoluteError": 0.03531796602188736, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.14673047445536164, "moment": 1.75, "term": -0.016048645643555178, "partial": 0.23395135435644482, "direct": 0.21468203397811264, "error": 0.019269320378332178, "absoluteError": 0.019269320378332178, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.018341309306920205 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0022926636633650256 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 3.875, "term": -0.028318091417527065, "partial": 0.20563326293891776, "direct": 0.21468203397811264, "error": -0.00904877103919488, "absoluteError": 0.00904877103919488, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.029231578237447292 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0009134868199202279 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.2121980054731655, "moment": 7.9375, "term": 0.00657938151735645, "partial": 0.21221264445627422, "direct": 0.21468203397811264, "error": -0.002469389521838422, "absoluteError": 0.002469389521838422, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.006631187671036422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000051806153679972046 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.2962910893116393, "moment": 15.96875, "term": 0.0046205061840285545, "partial": 0.21683315064030276, "direct": 0.21468203397811264, "error": 0.0021511166621901168, "absoluteError": 0.0021511166621901168, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.004629548270494364 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000009042086465809304 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.24801328217939939, "moment": 31.984375, "term": -0.0019366576714371893, "partial": 0.21489649296886557, "direct": 0.21468203397811264, "error": 0.00021445899075292485, "absoluteError": 0.00021445899075292485, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0019376037670265577 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 9.460955893684364e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.18019221238977234, "moment": 63.9921875, "term": -0.0007037899073050619, "partial": 0.21419270306156052, "direct": 0.21468203397811264, "error": -0.000489330916552122, "absoluteError": 0.000489330916552122, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0007038758296475482 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 8.592234248627298e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.26168509252840855, "moment": 127.99609375, "term": 0.0005110880986975648, "partial": 0.21470379116025806, "direct": 0.21468203397811264, "error": 0.000021757182145420995, "absoluteError": 0.000021757182145420995, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005111036963445479 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.559764698317102e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.08567347749494718, "moment": 255.998046875, "term": 0.00008366486704901026, "partial": 0.2147874560273071, "direct": 0.21468203397811264, "error": 0.00010542204919444798, "absoluteError": 0.00010542204919444798, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008366550536615935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.383171490948437e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.2563540233606147, "moment": 511.9990234375, "term": -0.0001251726242207611, "partial": 0.21466228340308632, "direct": 0.21468203397811264, "error": -0.000019750575026317163, "absoluteError": 0.000019750575026317163, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012517286296905014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.387482890492442e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.005637729540589132, "moment": 1023.99951171875, "term": -0.0000013763981573022947, "partial": 0.214660907004929, "direct": 0.21468203397811264, "error": -0.000021126973183627218, "absoluteError": 0.000021126973183627218, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000013763988136203935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 6.563180988409011e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.23462836317666563, "moment": 2047.999755859375, "term": 0.000028641154200047014, "partial": 0.21468954815912908, "direct": 0.21468203397811264, "error": 0.000007514181016438082, "absoluteError": 0.000007514181016438082, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000028641157614339067 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.414292051117309e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.06081741576618765, "moment": 4095.9998779296875, "term": -0.0000037120003633842416, "partial": 0.21468583615876569, "direct": 0.21468203397811264, "error": 0.000003802180653045273, "absoluteError": 0.000003802180653045273, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.0000037120004740104765 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.1062623482973804e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.7671458676442586, "x": 3.9231411216129217, "z": -0.7803612880645128, "direct": { "potential": 0.21180641544275666, "ex": 0.038025740535545666, "ez": -0.021995644554131707, "terms": [ { "role": "real", "distance": 4.808476385744038, "potential": 0.20796608317860446, "ex": 0.03528673434753179, "ez": -0.02500798903755923 }, { "role": "image", "distance": 4.126785830166682, "potential": -0.1211596677358478, "ex": -0.027910533824587073, "ez": 0.00910891704643153 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.03064954001260095, "ez": -0.006096572563004006 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.21180641544275666, "error": 0.03819358455724334, "absoluteError": 0.03819358455724334, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.1950903220161282, "moment": 1.75, "term": -0.02133800397051402, "partial": 0.22866199602948598, "direct": 0.21180641544275666, "error": 0.016855580586729313, "absoluteError": 0.016855580586729313, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.024386290252016024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.003048286281502003 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.4429096493834651, "moment": 3.875, "term": -0.02681679517751449, "partial": 0.2018452008519715, "direct": 0.21180641544275666, "error": -0.009961214590785167, "absoluteError": 0.009961214590785167, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02768185308646657 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008650579089520803 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.2740725248812032, "moment": 7.9375, "term": 0.008497854165017775, "partial": 0.21034305501698927, "direct": 0.21180641544275666, "error": -0.0014633604257673904, "absoluteError": 0.0014633604257673904, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0085647664025376 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000066912237519825 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.23861166705161618, "moment": 15.96875, "term": 0.0037210254474907187, "partial": 0.21406408046447997, "direct": 0.21180641544275666, "error": 0.0022576650217233096, "absoluteError": 0.0022576650217233096, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.003728307297681503 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007281850190784185 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.3030495084363915, "moment": 31.984375, "term": -0.0023664182425281273, "partial": 0.21169766222195185, "direct": 0.21180641544275666, "error": -0.00010875322080480809, "absoluteError": 0.00010875322080480809, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0023675742846593086 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001156042131181303 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.0904526745322577, "moment": 63.9921875, "term": -0.00035328762869535585, "partial": 0.2113443745932565, "direct": 0.21180641544275666, "error": -0.00046204084950016155, "absoluteError": 0.00046204084950016155, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00035333075989163167 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 4.3131196275833944e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.2925286841200979, "moment": 127.99609375, "term": 0.0005713276501037627, "partial": 0.21191570224336026, "direct": 0.21180641544275666, "error": 0.00010928680060359741, "absoluteError": 0.00010928680060359741, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005713450861720662 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.743606830359089e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.027859250754169784, "moment": 255.998046875, "term": -0.000027206091997025815, "partial": 0.21188849615136324, "direct": 0.21180641544275666, "error": 0.00008208070860657446, "absoluteError": 0.00008208070860657446, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00002720629956461893 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0756759311385292e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.24975925328309773, "moment": 511.9990234375, "term": -0.00012195252778570675, "partial": 0.21176654362357752, "direct": 0.21180641544275666, "error": -0.00003987181917913807, "absoluteError": 0.00003987181917913807, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00012195276039213756 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.3260643080165398e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.11765199066281659, "moment": 1023.99951171875, "term": 0.00002872361683641985, "partial": 0.21179526724041395, "direct": 0.21180641544275666, "error": -0.00001114820234271452, "absoluteError": 0.00001114820234271452, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028723630532914207 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3696494356591323e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.1832349521092529, "moment": 2047.999755859375, "term": 0.000022367545198479544, "partial": 0.21181763478561244, "direct": 0.21180641544275666, "error": 0.000011219342855778303, "absoluteError": 0.000011219342855778303, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000022367547864899035 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.666419489967708e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.17636344257982284, "moment": 4095.9998779296875, "term": -0.000010764369953844156, "partial": 0.21180687041565857, "direct": 0.21180641544275666, "error": 4.549729019087678e-7, "absoluteError": 4.549729019087678e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001076437027464739 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.2080323322556585e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.8162332528565992, "x": 3.880125012778176, "z": -0.9719207196130555, "direct": { "potential": 0.2091195125508007, "ex": 0.0364024160627686, "ez": -0.022750805423870903, "terms": [ { "role": "real", "distance": 4.887502724137575, "potential": 0.20460346652317316, "ex": 0.03323415804694095, "ez": -0.025455180586534707 }, { "role": "image", "distance": 4.149930206595414, "potential": -0.12048395397237247, "ex": -0.027145218646501847, "ez": 0.010297505784640802 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.0303134766623295, "ez": -0.007593130621976996 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2091195125508007, "error": 0.04088048744919931, "absoluteError": 0.04088048744919931, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.24298017990326387, "moment": 1.75, "term": -0.026575957176919487, "partial": 0.2234240428230805, "direct": 0.2091195125508007, "error": 0.01430453027227982, "absoluteError": 0.01430453027227982, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.030372522487907984 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.003796565310988498 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.41144094826126626, "moment": 3.875, "term": -0.024911463664256357, "partial": 0.19851257915882414, "direct": 0.2091195125508007, "error": -0.010606933391976547, "absoluteError": 0.010606933391976547, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02571505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0008035956020727857 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.3286067793156625, "moment": 7.9375, "term": 0.01018873558913309, "partial": 0.20870131474795725, "direct": 0.2091195125508007, "error": -0.00041819780284343966, "absoluteError": 0.00041819780284343966, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.010268961853614453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00008022626448136292 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.16885207607373404, "moment": 15.96875, "term": 0.0026331607322289457, "partial": 0.2113344754801862, "direct": 0.2091195125508007, "error": 0.0022149629293855, "absoluteError": 0.0022149629293855, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0026383136886520943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000005152956423148622 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.33673529753111386, "moment": 31.984375, "term": -0.0026294599687430955, "partial": 0.2087050155114431, "direct": 0.2091195125508007, "error": -0.0004144970393575864, "absoluteError": 0.0004144970393575864, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002630744511961827 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000012845432187313609 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.009293275757351727, "moment": 63.9921875, "term": 0.000036297427047952646, "partial": 0.20874131293849105, "direct": 0.2091195125508007, "error": -0.00037819961230964316, "absoluteError": 0.00037819961230964316, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00003630185842715518 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.4313792025335916e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.2844366745123325, "moment": 127.99609375, "term": 0.000555523426159954, "partial": 0.20929683636465102, "direct": 0.2091195125508007, "error": 0.00017732381385032747, "absoluteError": 0.00017732381385032747, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0005555403799068994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.6953746945400984e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.1377175056828565, "moment": 255.998046875, "term": -0.00013448872556803886, "partial": 0.20916234763908295, "direct": 0.2091195125508007, "error": 0.00004283508828226146, "absoluteError": 0.00004283508828226146, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00013448975164341456 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.0260753756974378e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.1896254203206248, "moment": 511.9990234375, "term": -0.00009259036066349541, "partial": 0.20906975727841948, "direct": 0.2091195125508007, "error": -0.000049755272381213356, "absoluteError": 0.000049755272381213356, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009259053726593007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.7660243466554656e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.21148867072767202, "moment": 1023.99951171875, "term": 0.00005163295163135139, "partial": 0.20912139023005083, "direct": 0.2091195125508007, "error": 0.0000018776792501395967, "absoluteError": 0.0000018776792501395967, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005163297625187305 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.4620521665512587e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.07428323115700895, "moment": 2047.999755859375, "term": 0.000009067776159882537, "partial": 0.2091304580062107, "direct": 0.2091195125508007, "error": 0.000010945455409999694, "absoluteError": 0.000010945455409999694, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00000906777724084582 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.0809632826859736e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.22845920783515708, "moment": 4095.9998779296875, "term": -0.000013944043031405158, "partial": 0.2091165139631793, "direct": 0.2091195125508007, "error": -0.0000029985876214000395, "absoluteError": 0.0000029985876214000395, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000013944043446970037 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.1556487819463124e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.8653206380689396, "x": 3.8277613429288357, "z": -1.1611387090178487, "direct": { "potential": 0.20660964611393684, "ex": 0.03484780931527101, "ez": -0.023477245885870794, "terms": [ { "role": "real", "distance": 4.9643282361334045, "potential": 0.20143712350069662, "ex": 0.03128696133874505, "ez": -0.02583818992742532 }, { "role": "image", "distance": 4.172665659865148, "potential": -0.11982747738675976, "ex": -0.026343537515105563, "ez": 0.011432340205756472 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02990438549163153, "ez": -0.009071396164201943 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.20660964611393684, "error": 0.04339035388606316, "absoluteError": 0.04339035388606316, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.29028467725446216, "moment": 1.75, "term": -0.0317498865747068, "partial": 0.2182501134252932, "direct": 0.20660964611393684, "error": 0.011640467311356373, "absoluteError": 0.011640467311356373, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.03628558465680777 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.004535698082100971 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.3736022092269091, "moment": 3.875, "term": -0.022620446261785512, "partial": 0.1956296671635077, "direct": 0.20660964611393684, "error": -0.010979978950429153, "absoluteError": 0.010979978950429153, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.02335013807668182 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0007296918148963069 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.374274779381287, "moment": 7.9375, "term": 0.011604711177105334, "partial": 0.20723437834061303, "direct": 0.20660964611393684, "error": 0.0006247322266761945, "absoluteError": 0.0006247322266761945, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.011696086855665219 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009137567855988452 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.09007074823011346, "moment": 15.96875, "term": 0.0014046066999996332, "partial": 0.20863898504061265, "direct": 0.20660964611393684, "error": 0.002029338926675811, "absoluteError": 0.002029338926675811, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0014073554410955228 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000002748741095889693 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.34648290804911314, "moment": 31.984375, "term": -0.0027055759917317757, "partial": 0.20593340904888088, "direct": 0.20660964611393684, "error": -0.0006762370650559568, "absoluteError": 0.0006762370650559568, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0027068977191336964 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000013217274019207502 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.10933528822648331, "moment": 63.9921875, "term": 0.0004270388345065712, "partial": 0.20636044788338745, "direct": 0.20660964611393684, "error": -0.00024919823054939116, "absoluteError": 0.00024919823054939116, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0004270909696347004 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -5.213512812923589e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.23804268331073583, "moment": 127.99609375, "term": 0.0004649129273917008, "partial": 0.20682536081077915, "direct": 0.20660964611393684, "error": 0.00021571469684231181, "absoluteError": 0.00021571469684231181, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004649271158412809 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4188449580117216e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2252311462562537, "moment": 255.998046875, "term": -0.00021995061316306463, "partial": 0.20660541019761608, "direct": 0.20660964611393684, "error": -0.000004235916320760591, "absoluteError": 0.000004235916320760591, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00021995229126587276 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.6781028081197568e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.08809576736765007, "moment": 511.9990234375, "term": -0.00004301542936440851, "partial": 0.20656239476825167, "direct": 0.20660964611393684, "error": -0.000047251345685173085, "absoluteError": 0.000047251345685173085, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000043015511409985385 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 8.204557687756612e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.251296449286453, "moment": 1023.99951171875, "term": 0.00006135164293431842, "partial": 0.206623746411186, "direct": 0.20660964611393684, "error": 0.000014100297249158844, "absoluteError": 0.000014100297249158844, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00006135167218907544 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.925475701764843e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.059176364411456024, "moment": 2047.999755859375, "term": -0.000007223676435190877, "partial": 0.2066165227347508, "direct": 0.20660964611393684, "error": 0.000006876620813972556, "absoluteError": 0.000006876620813972556, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000072236772963203154 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 8.611294384384531e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.197430594144394, "moment": 4095.9998779296875, "term": -0.000012050206803009265, "partial": 0.2066044725279478, "direct": 0.20660964611393684, "error": -0.000005173585989032281, "absoluteError": 0.000005173585989032281, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012050207162133424 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.5912415868441533e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.9144080232812801, "x": 3.7661762607320832, "z": -1.3475594135688798, "direct": { "potential": 0.20426600108838947, "ex": 0.033351807828071074, "ez": -0.02417943831840246, "terms": [ { "role": "real", "distance": 5.0388726570807005, "potential": 0.19845708912583548, "ex": 0.029437470732529843, "ez": -0.026165446182060365 }, { "role": "image", "distance": 4.19494450661375, "potential": -0.11919108803744602, "ex": -0.02550891494142817, "ez": 0.012513815782164777 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.0294232520369694, "ez": -0.010527807918506873 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.20426600108838947, "error": 0.045733998911610535, "absoluteError": 0.045733998911610535, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.33688985339221994, "moment": 1.75, "term": -0.03684732771477406, "partial": 0.21315267228522594, "direct": 0.20426600108838947, "error": 0.008886671196836476, "absoluteError": 0.008886671196836476, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.04211123167402749 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.0052639039592534366 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.32975784002205283, "moment": 3.875, "term": -0.01996580672008523, "partial": 0.1931868655651407, "direct": 0.20426600108838947, "error": -0.011079135523248768, "absoluteError": 0.011079135523248768, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.020609865001378302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0006440582812930719 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.4097466862280874, "moment": 7.9375, "term": 0.012704548132560327, "partial": 0.20589141369770103, "direct": 0.20426600108838947, "error": 0.0016254126093115662, "absoluteError": 0.0016254126093115662, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012804583944627732 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010003581206740415 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.005749253176715041, "moment": 15.96875, "term": 0.00008965662760319172, "partial": 0.20598107032530422, "direct": 0.20426600108838947, "error": 0.0017150692369147513, "absoluteError": 0.0017150692369147513, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.00008983208088617252 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -1.754532829808057e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.33128370609014285, "moment": 31.984375, "term": -0.0025868902067814727, "partial": 0.20339418011852275, "direct": 0.20426600108838947, "error": -0.0008718209698667101, "absoluteError": 0.0008718209698667101, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002588153953829241 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001263747047768184 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.19982017417529319, "moment": 63.9921875, "term": 0.0007804522736882336, "partial": 0.20417463239221098, "direct": 0.20426600108838947, "error": -0.00009136869617848431, "absoluteError": 0.00009136869617848431, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.000780547555372239 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -9.528168400540027e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.1589394538807809, "moment": 127.99609375, "term": 0.00031041914733121085, "partial": 0.2044850515395422, "direct": 0.20426600108838947, "error": 0.0002190504511527247, "absoluteError": 0.0002190504511527247, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0003104286208609002 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -9.473529689358527e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2752396948711361, "moment": 255.998046875, "term": -0.0002687867138270637, "partial": 0.20421626482571514, "direct": 0.20426600108838947, "error": -0.00004973626267432141, "absoluteError": 0.00004973626267432141, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00026878876452259383 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0506955301101214e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.03386857740581238, "moment": 511.9990234375, "term": 0.00001653735976886112, "partial": 0.204232802185484, "direct": 0.20426600108838947, "error": -0.000033198902905456906, "absoluteError": 0.000033198902905456906, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000016537391311431826 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.154257070814481e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.22603676323801283, "moment": 1023.99951171875, "term": 0.00005518473033576294, "partial": 0.20428798691581976, "direct": 0.20426600108838947, "error": 0.000021985827430293092, "absoluteError": 0.000021985827430293092, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00005518475664990548 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.6314142537071932e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.17616591878697738, "moment": 2047.999755859375, "term": -0.000021504626194624433, "partial": 0.20426648228962513, "direct": 0.20426600108838947, "error": 4.812012356636419e-7, "absoluteError": 4.812012356636419e-7, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002150462875817595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.563551516315454e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.09344905440854824, "moment": 4095.9998779296875, "term": -0.000005703677467257654, "partial": 0.20426077861215788, "direct": 0.20426600108838947, "error": -0.000005222476231581119, "absoluteError": 0.000005222476231581119, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000005703677637240493 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 1.6998283974052945e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 1.9634954084936207, "x": 3.695518130045147, "z": -1.530733729460359, "direct": { "potential": 0.2020785734769825, "ex": 0.03190517870853309, "ez": -0.024860665208294143, "terms": [ { "role": "real", "distance": 5.111060058132895, "potential": 0.1956541282289895, "ex": 0.027678489433229217, "ez": -0.026444296248445315 }, { "role": "image", "distance": 4.216720731736968, "potential": -0.11857555475200703, "ex": -0.024644546115673835, "ez": 0.013542488301560227 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02887123539097771, "ez": -0.011958857261409054 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.2020785734769825, "error": 0.04792142652301751, "absoluteError": 0.04792142652301751, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.3826834323650897, "moment": 1.75, "term": -0.04185600041493169, "partial": 0.2081439995850683, "direct": 0.2020785734769825, "error": 0.006065426108085803, "absoluteError": 0.006065426108085803, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.047835429045636216 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.005979428630704527 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.2803300858899107, "moment": 3.875, "term": -0.016973110669115686, "partial": 0.19117088891595263, "direct": 0.2020785734769825, "error": -0.010907684561029862, "absoluteError": 0.010907684561029862, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.01752063036811942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0005475196990037319 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.4339184206826456, "moment": 7.9375, "term": 0.0134540135319082, "partial": 0.20462490244786083, "direct": 0.2020785734769825, "error": 0.0025463289708783365, "absoluteError": 0.0025463289708783365, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013559950646332674 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010593711442447402 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.08034586912079605, "moment": 15.96875, "term": -0.0012529522436745234, "partial": 0.2033719502041863, "direct": 0.2020785734769825, "error": 0.00129337672720381, "absoluteError": 0.00129337672720381, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0012554042050124383 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.0000024519613379149186 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.29179007719741196, "moment": 31.984375, "term": -0.0022784968872951593, "partial": 0.20109345331689113, "direct": 0.2020785734769825, "error": -0.0009851201600913628, "absoluteError": 0.0009851201600913628, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.002279609978104781 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000001113090809621475 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.2716708094326269, "moment": 63.9921875, "term": 0.0010610845566094622, "partial": 0.2021545378735006, "direct": 0.2020785734769825, "error": 0.00007596439651810782, "absoluteError": 0.00007596439651810782, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010612140993461988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.2954273673659653e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.05702993306177622, "moment": 127.99609375, "term": 0.00011138318876237997, "partial": 0.202265921062263, "direct": 0.2020785734769825, "error": 0.0001873475852804951, "absoluteError": 0.0001873475852804951, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00011138658801128168 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -3.399248901711477e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2786327280003582, "moment": 255.998046875, "term": -0.00027210019746225293, "partial": 0.20199382086480072, "direct": 0.2020785734769825, "error": -0.00008475261218177099, "absoluteError": 0.00008475261218177099, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002721022734378498 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.0759755969074235e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.150715413750336, "moment": 511.9990234375, "term": 0.00007359137025561409, "partial": 0.20206741223505634, "direct": 0.2020785734769825, "error": -0.000011161241926155308, "absoluteError": 0.000011161241926155308, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00007359151062028125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.4036466716820002e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.14118450069614627, "moment": 1023.99951171875, "term": 0.000034468855804231, "partial": 0.20210188109086058, "direct": 0.2020785734769825, "error": 0.00002330761387808744, "absoluteError": 0.00002330761387808744, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000034468872240270085 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.643603908551697e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.24016022666268777, "moment": 2047.999755859375, "term": -0.00002931643042399387, "partial": 0.20207256466043658, "direct": 0.2020785734769825, "error": -0.000006008816545916007, "absoluteError": 0.000006008816545916007, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000029316433918785128 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.494791259620801e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.046732775754171875, "moment": 4095.9998779296875, "term": 0.000002852342185145668, "partial": 0.20207541700262172, "direct": 0.2020785734769825, "error": -0.0000031564743607770396, "absoluteError": 0.0000031564743607770396, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000002852342270152092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -8.500642389512336e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.012582793705961, "x": 3.615957172493774, "z": -1.7102203737211275, "direct": { "potential": 0.20003811879795239, "ex": 0.030499543974843255, "ez": -0.025523200333702686, "terms": [ { "role": "real", "distance": 5.180818612428397, "potential": 0.19301968951413867, "ex": 0.02600327902286632, "ez": -0.026681149972707527 }, { "role": "image", "distance": 4.2379500202009375, "potential": -0.11798157071618628, "ex": -0.023753400458130673, "ez": 0.01451904630870115 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.028249665410107608, "ez": -0.013361096669696308 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.20003811879795239, "error": 0.049961881202047614, "absoluteError": 0.049961881202047614, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.42755509343028186, "moment": 1.75, "term": -0.046763838343937075, "partial": 0.20323616165606292, "direct": 0.20003811879795239, "error": 0.003198042858110539, "absoluteError": 0.003198042858110539, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.05344438667878523 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.006680548334848154 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.2257949631227344, "moment": 3.875, "term": -0.01367117940782181, "partial": 0.18956498224824112, "direct": 0.20003811879795239, "error": -0.01047313654971127, "absoluteError": 0.01047313654971127, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0141121851951709 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.0004410057873490906 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.44593637321023416, "moment": 7.9375, "term": 0.013826640477954037, "partial": 0.20339162272619515, "direct": 0.20003811879795239, "error": 0.003353503928242768, "absoluteError": 0.003353503928242768, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013935511662819818 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010887118486577982 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.1643129211537089, "moment": 15.96875, "term": -0.0025623749606184464, "partial": 0.2008292477655767, "direct": 0.20003811879795239, "error": 0.0007911289676243161, "absoluteError": 0.0007911289676243161, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0025673893930267017 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000005014432408255277 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.23029401112796952, "moment": 31.984375, "term": -0.0017982934600027222, "partial": 0.199030954305574, "direct": 0.20003811879795239, "error": -0.001007164492378393, "absoluteError": 0.001007164492378393, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0017991719619372618 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 8.785019345396786e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.3174436262758886, "moment": 63.9921875, "term": 0.001239862796223547, "partial": 0.20027081710179753, "direct": 0.20003811879795239, "error": 0.0002326983038451469, "absoluteError": 0.0002326983038451469, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00124001416514019 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.513689166430896e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.05466517771689123, "moment": 127.99609375, "term": -0.00010676466692980378, "partial": 0.20016405243486773, "direct": 0.20003811879795239, "error": 0.00012593363691534853, "absoluteError": 0.00012593363691534853, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00010676792522830318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.258298499398901e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.23393996955491178, "moment": 255.998046875, "term": -0.00022845525852987052, "partial": 0.19993559717633785, "direct": 0.20003811879795239, "error": -0.00010252162161453193, "absoluteError": 0.00010252162161453193, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00022845700151846854 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7429885980107768e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.23752213954636658, "moment": 511.9990234375, "term": 0.00011597738599064378, "partial": 0.2000515745623285, "direct": 0.20003811879795239, "error": 0.00001345576437611351, "absoluteError": 0.00001345576437611351, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00011597760720037431 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.212097305304991e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.017593751524956857, "moment": 1023.99951171875, "term": 0.0000042953474452154244, "partial": 0.20005586990977373, "direct": 0.20003811879795239, "error": 0.00001775111182134026, "absoluteError": 0.00001775111182134026, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00000429534949339767 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.0481822459209777e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.23028996864377727, "moment": 2047.999755859375, "term": -0.00002811156508680099, "partial": 0.20002775834468692, "direct": 0.20003811879795239, "error": -0.00001036045326546775, "absoluteError": 0.00001036045326546775, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000028111568437961092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.351160101647507e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.17259055513292107, "moment": 4095.9998779296875, "term": 0.000010534091185871687, "partial": 0.2000382924358728, "direct": 0.20003811879795239, "error": 1.7363792040314685e-7, "absoluteError": 1.7363792040314685e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000010534091499812077 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.1394039093888035e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.061670178918302, "x": 3.52768505739342, "z": -1.8855869473039908, "direct": { "potential": 0.19813610268081694, "ex": 0.029127349497443465, "ez": -0.0261684671552446, "terms": [ { "role": "real", "distance": 5.248080390887316, "potential": 0.19054586163283324, "ex": 0.024405537028818227, "ez": -0.026881604955740965 }, { "role": "image", "distance": 4.258589783872591, "potential": -0.11740975895201629, "ex": -0.022838227042260857, "ez": 0.015444285826308794 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.027560039510886095, "ez": -0.014731148025812428 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.19813610268081694, "error": 0.05186389731918306, "absoluteError": 0.05186389731918306, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.4713967368259977, "moment": 1.75, "term": -0.051559018090343495, "partial": 0.1984409819096565, "direct": 0.19813610268081694, "error": 0.0003048792288395663, "absoluteError": 0.0003048792288395663, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.05892459210324971 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.007365574012906214 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.16667767476470158, "moment": 3.875, "term": -0.01009181233926904, "partial": 0.18834916957038747, "direct": 0.19813610268081694, "error": -0.009786933110429469, "absoluteError": 0.009786933110429469, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.010417354672793849 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00032554233352480777 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.4452166778603739, "moment": 7.9375, "term": 0.013804325705143429, "partial": 0.2021534952755309, "direct": 0.19813610268081694, "error": 0.004017392594713953, "absoluteError": 0.004017392594713953, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013913021183136684 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010869547799325534 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.2422706998932842, "moment": 15.96875, "term": -0.003778086170821174, "partial": 0.19837540910470972, "direct": 0.19813610268081694, "error": 0.00023930642389277668, "absoluteError": 0.00023930642389277668, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0037854796858325657 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00000739351501139173 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.15060323104345855, "moment": 31.984375, "term": -0.001176013236793364, "partial": 0.19719939586791635, "direct": 0.19813610268081694, "error": -0.0009367068129005895, "absoluteError": 0.0009367068129005895, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00117658774252702 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.745057336557714e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 63.9921875, "term": 0.0012969029224243556, "partial": 0.19849629879034072, "direct": 0.19813610268081694, "error": 0.000360196109523786, "absoluteError": 0.000360196109523786, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0012970612550970968 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.5833267274134483e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.16160301834713955, "moment": 127.99609375, "term": -0.00031562126291875375, "partial": 0.19818067752742197, "direct": 0.19813610268081694, "error": 0.00004457484660502775, "absoluteError": 0.00004457484660502775, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00031563089520925694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 9.632290503212187e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.14770584206036202, "moment": 255.998046875, "term": -0.00014424288589279138, "partial": 0.19803643464152917, "direct": 0.19813610268081694, "error": -0.00009966803928776469, "absoluteError": 0.00009966803928776469, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001442439863870723 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.1004942809072288e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.27516678111697346, "moment": 511.9990234375, "term": 0.00013435852357323715, "partial": 0.19817079316510242, "direct": 0.19813610268081694, "error": 0.00003469048428547672, "absoluteError": 0.00003469048428547672, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001343587798422722 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.5626903503851356e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.11351891527843842, "moment": 1023.99951171875, "term": -0.00002771456571005895, "partial": 0.19814307859939234, "direct": 0.19813610268081694, "error": 0.000006975918575402584, "absoluteError": 0.000006975918575402584, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000027714578925400006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.3215341055583957e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.14799149457579966, "moment": 2047.999755859375, "term": -0.000018065365836650237, "partial": 0.1981250132335557, "direct": 0.19813610268081694, "error": -0.00001108944726124772, "absoluteError": 0.00001108944726124772, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00001806536799020992 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.1535596835863494e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 4095.9998779296875, "term": 0.000014512381278041204, "partial": 0.19813952561483372, "direct": 0.19813610268081694, "error": 0.0000034229340167835076, "absoluteError": 0.0000034229340167835076, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000014512381710543882 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -4.3250267835092194e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.110757564130642, "x": 3.4309144400010885, "z": -2.056410976772886, "direct": { "potential": 0.19636465394856367, "ex": 0.0277818295768723, "ez": -0.026797177320445474, "terms": [ { "role": "real", "distance": 5.312781183814326, "potential": 0.18822533159215252, "ex": 0.02287937204406022, "ez": -0.02705055387541729 }, { "role": "image", "distance": 4.278599183935425, "potential": -0.11686067764358885, "ex": -0.021901561529696422, "ez": 0.016319087311009988 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.026804019062508504, "ez": -0.016065710756038173 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.19636465394856367, "error": 0.05363534605143633, "absoluteError": 0.05363534605143633, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.5141027441932216, "moment": 1.75, "term": -0.05622998764613361, "partial": 0.1937700123538664, "direct": 0.19636465394856367, "error": -0.0025946415946972723, "absoluteError": 0.0025946415946972723, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.0642628430241527 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.008032855378019087 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.1035475526194985, "moment": 3.875, "term": -0.006269480725008698, "partial": 0.1875005316288577, "direct": 0.19636465394856367, "error": -0.008864122319705986, "absoluteError": 0.008864122319705986, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.006471722038718656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.000202241313709958 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.43145863105577464, "moment": 7.9375, "term": 0.013377745640645356, "partial": 0.20087827726950305, "direct": 0.19636465394856367, "error": 0.004513623320939381, "absoluteError": 0.004513623320939381, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.013483082220492958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00010533657984760123 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.3105139514407189, "moment": 15.96875, "term": -0.004842304357489238, "partial": 0.1960359729120138, "direct": 0.19636465394856367, "error": -0.0003286810365498716, "absoluteError": 0.0003286810365498716, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004851780491261233 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009476133771994596 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.05782197066190187, "moment": 31.984375, "term": -0.0004515135724827313, "partial": 0.19558445933953109, "direct": 0.19636465394856367, "error": -0.0007801946090325862, "absoluteError": 0.0007801946090325862, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.00045173414579610834 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 2.2057331337700602e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.3132600881524959, "moment": 63.9921875, "term": 0.001223522845295474, "partial": 0.19680798218482656, "direct": 0.19636465394856367, "error": 0.000443328236262891, "absoluteError": 0.000443328236262891, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.001223672219345687 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.4937405021309657e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2495272140827002, "moment": 127.99609375, "term": -0.00048734296702431667, "partial": 0.19632063921780224, "direct": 0.19636465394856367, "error": -0.000044014730761432475, "absoluteError": 0.000044014730761432475, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00048735784000527384 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.4872980957192195e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.0335726543006733, "moment": 255.998046875, "term": -0.00003278554507973455, "partial": 0.1962878536727225, "direct": 0.19636465394856367, "error": -0.00007680027584117122, "absoluteError": 0.00007680027584117122, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003278579521550127 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.501357667198278e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.2544038006289614, "moment": 511.9990234375, "term": 0.00012422036884385747, "partial": 0.19641207404156635, "direct": 0.19636465394856367, "error": 0.00004742009300268135, "absoluteError": 0.00004742009300268135, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00012422060577586006 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.369320025937272e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.21828502599880917, "moment": 1023.99951171875, "term": -0.00005329221726376897, "partial": 0.19635878182430258, "direct": 0.19636465394856367, "error": -0.000005872124261091516, "absoluteError": 0.000005872124261091516, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00005329224267549052 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.5411721551652202e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.017036223432891552, "moment": 2047.999755859375, "term": -0.0000020796168703632153, "partial": 0.19635670220743223, "direct": 0.19636465394856367, "error": -0.000007951741131440038, "absoluteError": 0.000007951741131440038, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000020796171182728945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.479096792069548e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.21688148149919037, "moment": 4095.9998779296875, "term": 0.000013237394716529451, "partial": 0.19636993960214877, "direct": 0.19636465394856367, "error": 0.0000052856535850964725, "absoluteError": 0.0000052856535850964725, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000013237395111034569 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.94505116672354e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.1598449493429825, "x": 3.3258784492101814, "z": -2.222280932078408, "direct": { "potential": 0.19471652039698625, "ex": 0.02645696869563993, "ez": -0.027409451822883183, "terms": [ { "role": "real", "distance": 5.374860345005592, "potential": 0.18605134567435158, "ex": 0.021419277609255494, "ez": -0.027192276810335758 }, { "role": "image", "distance": 4.297939149415497, "potential": -0.11633482527736533, "ex": -0.020945734298070107, "ez": 0.017144394769315136 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.025983425384454542, "ez": -0.01736156978186256 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.19471652039698625, "error": 0.055283479603013747, "absoluteError": 0.055283479603013747, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.555570233019602, "moment": 1.75, "term": -0.06076549423651896, "partial": 0.18923450576348105, "direct": 0.19471652039698625, "error": -0.0054820146335052, "absoluteError": 0.0054820146335052, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.06944627912745024 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.00868078489093128 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": -0.03701257427381777, "moment": 3.875, "term": -0.0022409957079850603, "partial": 0.18699351005549597, "direct": 0.19471652039698625, "error": -0.007723010341490283, "absoluteError": 0.007723010341490283, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": -0.0023132858921136104 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": 0.00007229018412855033 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.40465196286966837, "moment": 7.9375, "term": 0.012546581856554658, "partial": 0.19954009191205063, "direct": 0.19471652039698625, "error": 0.004823571515064379, "absoluteError": 0.004823571515064379, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.012645373839677137 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00009879198312247763 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.36566259357548336, "moment": 15.96875, "term": -0.005702318887850098, "partial": 0.19383777302420055, "direct": 0.19471652039698625, "error": -0.0008787473727857043, "absoluteError": 0.0008787473727857043, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0057134780246169276 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011159136766829937 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.04195068387897525, "moment": 31.984375, "term": 0.0003275796886454099, "partial": 0.19416535271284596, "direct": 0.19471652039698625, "error": -0.0005511676841402913, "absoluteError": 0.0005511676841402913, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00032773971780449413 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -1.6002915908422565e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.26199015074661725, "moment": 63.9921875, "term": 0.0010232740997150145, "partial": 0.19518862681256097, "direct": 0.19471652039698625, "error": 0.00047210641557471344, "absoluteError": 0.00047210641557471344, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010233990263539736 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.249266389592253e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.3062721687946651, "moment": 127.99609375, "term": -0.0005981695744332547, "partial": 0.1945904572381277, "direct": 0.19471652039698625, "error": -0.00012606315885854702, "absoluteError": 0.00012606315885854702, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005981878296770803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.8255243825594492e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.08980055594296799, "moment": 255.998046875, "term": 0.00008769518634677497, "partial": 0.19467815242447448, "direct": 0.19471652039698625, "error": -0.000038367972511776927, "absoluteError": 0.000038367972511776927, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00008769585541305467 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.6906627970165e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.17800428687982267, "moment": 511.9990234375, "term": 0.00008691598992362767, "partial": 0.1947650684143981, "direct": 0.19471652039698625, "error": 0.0000485480174118591, "absoluteError": 0.0000485480174118591, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00008691615570303841 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.657794107495087e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.26871887831526237, "moment": 1023.99951171875, "term": -0.0000656051636181924, "partial": 0.19469946325077991, "direct": 0.19471652039698625, "error": -0.00001705714620633958, "absoluteError": 0.00001705714620633958, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.0000656051949011871 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.1282994700044203e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.12319032162651614, "moment": 2047.999755859375, "term": 0.000015037879265269216, "partial": 0.19471450113004518, "direct": 0.19471652039698625, "error": -0.0000020192669410723507, "absoluteError": 0.0000020192669410723507, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000015037881057924333 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.7926551172643105e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.11514729337970088, "moment": 4095.9998779296875, "term": 0.000007028032833742927, "partial": 0.19472152916287894, "direct": 0.19471652039698625, "error": 0.000005008765892683398, "absoluteError": 0.000005008765892683398, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000007028033043194634 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.0945170650466185e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.2089323345553233, "x": 3.2128301259225798, "z": -2.3827972179697334, "direct": { "potential": 0.19318502737354745, "ex": 0.02514746159919909, "ez": -0.028004927031853435, "terms": [ { "role": "real", "distance": 5.434260655496654, "potential": 0.1840176729448041, "ex": 0.02002010572294371, "ez": -0.027310520701987473 }, { "role": "image", "distance": 4.316572392300369, "potential": -0.11583264557125664, "ex": -0.019972879482514777, "ez": 0.01792119693552258 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.025100235358770154, "ez": -0.018615603265388542 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.19318502737354745, "error": 0.05681497262645255, "absoluteError": 0.05681497262645255, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.5956993044924334, "moment": 1.75, "term": -0.0651546114288599, "partial": 0.1848453885711401, "direct": 0.19318502737354745, "error": -0.008339638802407345, "absoluteError": 0.008339638802407345, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.07446241306155417 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.009307801632694271 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.03228649205915324, "moment": 3.875, "term": 0.0019548461988940437, "partial": 0.18680023477003416, "direct": 0.19318502737354745, "error": -0.006384792603513295, "absoluteError": 0.006384792603513295, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0020179057536970774 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00006305955480303367 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.3650778015547255, "moment": 7.9375, "term": 0.011319550975939976, "partial": 0.19811978574597414, "direct": 0.19318502737354745, "error": 0.004934758372426684, "absoluteError": 0.004934758372426684, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.011408681298585173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00008913032264519666 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.40479890586997397, "moment": 15.96875, "term": -0.006312629421983542, "partial": 0.1918071563239906, "direct": 0.19318502737354745, "error": -0.0013778710495568613, "absoluteError": 0.0013778710495568613, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006324982904218343 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012353482234801452 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.14198692679109431, "moment": 31.984375, "term": 0.0011087312284140398, "partial": 0.19291588755240463, "direct": 0.19318502737354745, "error": -0.000269139821142822, "absoluteError": 0.000269139821142822, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011092728655554243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.416371413844845e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.18226631340811125, "moment": 63.9921875, "term": 0.0007118908753995129, "partial": 0.19362777842780413, "direct": 0.19318502737354745, "error": 0.0004427510542566737, "absoluteError": 0.0004427510542566737, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0007119777867504346 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -8.691135092168391e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.32334406720450265, "moment": 127.99609375, "term": -0.0006315121084505283, "partial": 0.1929962663193536, "direct": 0.19318502737354745, "error": -0.00018876105419385336, "absoluteError": 0.00018876105419385336, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006315313812587942 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.9272808265954414e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.2016716681656718, "moment": 255.998046875, "term": 0.0001969434858720211, "partial": 0.19319320980522564, "direct": 0.19318502737354745, "error": 0.000008182431678188662, "absoluteError": 0.000008182431678188662, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00019694498844303887 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.5025710177844152e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.06049401175333221, "moment": 511.9990234375, "term": 0.00002953803533699297, "partial": 0.19322274784056262, "direct": 0.19318502737354745, "error": 0.000037720467015167625, "absoluteError": 0.000037720467015167625, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.000029538091676431743 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -5.633943877493237e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.2499733587311971, "moment": 1023.99951171875, "term": -0.00006102862293325467, "partial": 0.19316171921762937, "direct": 0.19318502737354745, "error": -0.000023308155918083662, "absoluteError": 0.000023308155918083662, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00006102865203398367 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 2.9100729004852137e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.2292861779237021, "moment": 2047.999755859375, "term": 0.00002798903205452389, "partial": 0.1931897082496839, "direct": 0.19318502737354745, "error": 0.0000046808761364480755, "absoluteError": 0.0000046808761364480755, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000027989035391076916 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.336553024181952e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.03264685320758487, "moment": 4095.9998779296875, "term": -0.000001992605727211476, "partial": 0.19318771564395668, "direct": 0.19318502737354745, "error": 0.000002688270409223481, "absoluteError": 0.000002688270409223481, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001992605786595756 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.938428004371393e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.2580197197676637, "x": 3.0920418134509484, "z": -2.5375731366545815, "direct": { "potential": 0.1917640391800002, "ex": 0.023848672565917675, "ez": -0.02858284751993499, "terms": [ { "role": "real", "distance": 5.490928204467649, "potential": 0.18211857135308346, "ex": 0.018677040587881256, "ez": -0.02740856778686046 }, { "role": "image", "distance": 4.334463419692752, "potential": -0.11535453217308325, "ex": -0.018984944689549116, "ez": 0.01865051039703939 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.024156576667585535, "ez": -0.019824790130113918 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.1917640391800002, "error": 0.058235960819999794, "absoluteError": 0.058235960819999794, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.6343932841636454, "moment": 1.75, "term": -0.06938676545539871, "partial": 0.1806132345446013, "direct": 0.1917640391800002, "error": -0.011150804635398914, "absoluteError": 0.011150804635398914, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.07929916052045567 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.009912395065056959 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.10368225848790358, "moment": 3.875, "term": 0.006277636744384787, "partial": 0.18689087128898607, "direct": 0.1917640391800002, "error": -0.004873167891014135, "absoluteError": 0.004873167891014135, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.006480141155493974 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00020250441110918668 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.31330330865635503, "moment": 7.9375, "term": 0.009714238329921163, "partial": 0.19660510961890723, "direct": 0.1917640391800002, "error": 0.004841070438907025, "absoluteError": 0.004841070438907025, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.009790728395511095 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00007649006558993043 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.42558734497215, "moment": 15.96875, "term": -0.006636814370140645, "partial": 0.1899682952487666, "direct": 0.1917640391800002, "error": -0.0017957439312336065, "absoluteError": 0.0017957439312336065, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006649802265189844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012987895049198914 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.23533890933057933, "moment": 31.984375, "term": 0.0018376874824512324, "partial": 0.19180598273121782, "direct": 0.1917640391800002, "error": 0.00004194355121761584, "absoluteError": 0.00004194355121761584, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.001838585229145151 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -8.977466939185308e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.08094417757697796, "moment": 63.9921875, "term": 0.00031614959646846126, "partial": 0.1921221323276863, "direct": 0.1917640391800002, "error": 0.00035809314768608935, "absoluteError": 0.00035809314768608935, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00031618819366007015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.859719160889528e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.2970841729134675, "moment": 127.99609375, "term": -0.0005802248176250214, "partial": 0.19154190751006128, "direct": 0.1917640391800002, "error": -0.0002221316699389242, "absoluteError": 0.0002221316699389242, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0005802425252216162 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.7707596594897956e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.28255172735942236, "moment": 255.998046875, "term": 0.0002759273160750184, "partial": 0.1918178348261363, "direct": 0.1917640391800002, "error": 0.00005379564613608445, "absoluteError": 0.00005379564613608445, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002759294212494359 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.1051744174914238e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.07450646968982141, "moment": 511.9990234375, "term": -0.000036380042763675936, "partial": 0.1917814547833726, "direct": 0.1917640391800002, "error": 0.000017415603372400446, "absoluteError": 0.000017415603372400446, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00003638011215323311 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 6.938955717703459e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.16449038702734678, "moment": 1023.99951171875, "term": -0.00004015876674614699, "partial": 0.19174129601662646, "direct": 0.1917640391800002, "error": -0.000022743163373750708, "absoluteError": 0.000022743163373750708, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000040158785895348335 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.914920134322564e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.26694983913912673, "moment": 2047.999755859375, "term": 0.000032586646400906504, "partial": 0.19177388266302736, "direct": 0.1917640391800002, "error": 0.00000984348302715543, "absoluteError": 0.00000984348302715543, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00003258665028553793 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.88463142937874e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.17380691677858473, "moment": 4095.9998779296875, "term": -0.000010608332006758726, "partial": 0.1917632743310206, "direct": 0.1917640391800002, "error": -7.648489795952784e-7, "absoluteError": 7.648489795952784e-7, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000010608332322911666 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.1615293988322215e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.3071071049800045, "x": 2.963804501419836, "z": -2.6862358193880738, "direct": { "potential": 0.19044792326776658, "ex": 0.022556594498297007, "ez": -0.029142147362098313, "terms": [ { "role": "real", "distance": 5.544812285150174, "potential": 0.18034875638227604, "ex": 0.017385573008408355, "ez": -0.027489294564995572 }, { "role": "image", "distance": 4.351578543401012, "potential": -0.11490083311450949, "ex": -0.017983701177453824, "ez": 0.019333364541866592 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.023154722667342476, "ez": -0.020986217338969333 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.19044792326776658, "error": 0.05955207673223342, "absoluteError": 0.05955207673223342, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.6715589548470184, "moment": 1.75, "term": -0.07345176068639264, "partial": 0.17654823931360736, "direct": 0.19044792326776658, "error": -0.01389968395415922, "absoluteError": 0.01389968395415922, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.0839448693558773 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.010493108669484663 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.17648714475282967, "moment": 3.875, "term": 0.010685745092456483, "partial": 0.18723398440606384, "direct": 0.19044792326776658, "error": -0.0032139388617027365, "absoluteError": 0.0032139388617027365, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.011030446547051855 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00034470145459537045 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.25017009910777105, "moment": 7.9375, "term": 0.007756738912765362, "partial": 0.19499072331882922, "direct": 0.19044792326776658, "error": 0.00454280005106264, "absoluteError": 0.00454280005106264, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.007817815597117845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00006107668435248317 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.42637230657350433, "moment": 15.96875, "term": -0.006649055440034812, "partial": 0.1883416678787944, "direct": 0.19044792326776658, "error": -0.002106255388972189, "absoluteError": 0.002106255388972189, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006662067290211005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001301185017619337 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.3152653737545703, "moment": 31.984375, "term": 0.002461808090498373, "partial": 0.19080347596929276, "direct": 0.19044792326776658, "error": 0.00035555270152617946, "absoluteError": 0.00035555270152617946, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0024630107324575806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001202641959207803 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.032841766835215225, "moment": 63.9921875, "term": -0.0001282724915252914, "partial": 0.19067520347776748, "direct": 0.19044792326776658, "error": 0.00022728021000090193, "absoluteError": 0.00022728021000090193, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00012828815170005947 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5660174768073666e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.22926783836885659, "moment": 127.99609375, "term": -0.0004477750813861086, "partial": 0.19022742839638138, "direct": 0.19044792326776658, "error": -0.00022049487138520174, "absoluteError": 0.00022049487138520174, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.000447788746814173 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.366542806439737e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 255.998046875, "term": 0.000309982427065719, "partial": 0.19053741082344708, "direct": 0.19044792326776658, "error": 0.00008948755568050082, "absoluteError": 0.00008948755568050082, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0003099847920619963 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.364996277328463e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.1988593303698689, "moment": 511.9990234375, "term": -0.000097099097204979, "partial": 0.1904403117262421, "direct": 0.19044792326776658, "error": -0.0000076115415244826234, "absoluteError": 0.0000076115415244826234, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00009709928240716254 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.852021835463763e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.03194503264127833, "moment": 1023.99951171875, "term": -0.000007799076515795837, "partial": 0.1904325126497263, "direct": 0.19044792326776658, "error": -0.0000154106180402791, "absoluteError": 0.0000154106180402791, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.000007799080234687092 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.718891255706354e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.22173688464494862, "moment": 2047.999755859375, "term": 0.00002706748757468898, "partial": 0.190459580137301, "direct": 0.19044792326776658, "error": 0.00001165686953441547, "absoluteError": 0.00001165686953441547, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00002706749080138533 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -3.2266963483554517e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.2561267185432864, "moment": 4095.9998779296875, "term": -0.00001563273382019747, "partial": 0.1904439474034808, "direct": 0.19044792326776658, "error": -0.000003975864285771236, "absoluteError": 0.000003975864285771236, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015632734286089257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.6589178699521e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.356194490192345, "x": 2.8284271247461903, "z": -2.82842712474619, "direct": { "potential": 0.18923151715710404, "ex": 0.021267808292185063, "ez": -0.029681521357920966, "terms": [ { "role": "real", "distance": 5.595865303863627, "potential": 0.17870337216829663, "ex": 0.016141475709937424, "ez": -0.027555222642792115 }, { "role": "image", "distance": 4.3678858873311, "potential": -0.11447185501119259, "ex": -0.016970754329831972, "ez": 0.019970788196950758 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02209708691207961, "ez": -0.022097086912079608 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18923151715710404, "error": 0.06076848284289596, "absoluteError": 0.06076848284289596, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.7071067811865475, "moment": 1.75, "term": -0.07733980419227862, "partial": 0.17266019580772138, "direct": 0.18923151715710404, "error": -0.01657132134938266, "absoluteError": 0.01657132134938266, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.08838834764831843 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.011048543456039804 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.2499999999999999, "moment": 3.875, "term": 0.015136718749999993, "partial": 0.18779691455772138, "direct": 0.18923151715710404, "error": -0.0014346025993826617, "absoluteError": 0.0014346025993826617, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015624999999999993 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812499999998 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.176776695296637, "moment": 7.9375, "term": 0.0054811133551447505, "partial": 0.19327802791286613, "direct": 0.18923151715710404, "error": 0.004046510755762095, "absoluteError": 0.004046510755762095, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.005524271728019906 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.00004315837287515552 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.40625, "moment": 15.96875, "term": -0.006335258483886719, "partial": 0.18694276942897942, "direct": 0.18923151715710404, "error": -0.002288747728124624, "absoluteError": 0.002288747728124624, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.00634765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00001239776611328125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.3756504775053533, "moment": 31.984375, "term": 0.002933336362661202, "partial": 0.1898761057916406, "direct": 0.18923151715710404, "error": 0.0006445886345365637, "absoluteError": 0.0006445886345365637, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0029347693555105726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000014329928493703968 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.14843749999999986, "moment": 63.9921875, "term": -0.0005797632038593287, "partial": 0.18929634258778127, "direct": 0.18923151715710404, "error": 0.00006482543067723445, "absoluteError": 0.00006482543067723445, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843749995 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.07805156707763e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.1270582497444579, "moment": 127.99609375, "term": -0.0002481530707703025, "partial": 0.18904818951701097, "direct": 0.18923151715710404, "error": -0.00018332764009307279, "absoluteError": 0.00018332764009307279, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00024816064403214433 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 7.57326184180128e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.29833984375000006, "moment": 255.998046875, "term": 0.0002913452808570583, "partial": 0.18933953479786803, "direct": 0.18923151715710404, "error": 0.00010801764076398546, "absoluteError": 0.00010801764076398546, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00029134750366210943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133037e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.28553579494202863, "moment": 511.9990234375, "term": -0.00013942150894810572, "partial": 0.18920011328891992, "direct": 0.18923151715710404, "error": -0.00003140386818412111, "absoluteError": 0.00003140386818412111, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00013942177487403742 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.6592593169028743e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.11511230468749978, "moment": 1023.99951171875, "term": 0.00002810357661076063, "partial": 0.18922821686553068, "direct": 0.18923151715710404, "error": -0.0000033002915733604254, "absoluteError": 0.0000033002915733604254, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.3400835996435464e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.10418431212062557, "moment": 2047.999755859375, "term": 0.000012717810022081022, "partial": 0.18924093467555278, "direct": 0.18923151715710404, "error": 0.000009417518448739948, "absoluteError": 0.000009417518448739948, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.0000127178115381623 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -1.5160812781050564e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.24671936035156258, "moment": 4095.9998779296875, "term": -0.000015058554260177775, "partial": 0.1892258761212926, "direct": 0.18923151715710404, "error": -0.000005641035811437822, "absoluteError": 0.000005641035811437822, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957677 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910405e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.405281875404685, "x": 2.686235819388074, "z": -2.9638045014198355, "direct": { "potential": 0.18811009798607586, "ex": 0.0199794428055894, "ez": -0.030199487434739165, "terms": [ { "role": "real", "distance": 5.644042700554217, "potential": 0.17717796498984761, "ex": 0.014940779745320251, "ez": -0.027608562591290794 }, { "role": "image", "distance": 4.383355393008857, "potential": -0.11406786700377175, "ex": -0.01594755427870018, "ez": 0.020563797823894094 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.02098621733896933, "ez": -0.023154722667342465 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18811009798607586, "error": 0.061889902013924136, "absoluteError": 0.061889902013924136, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.7409511253549589, "moment": 1.75, "term": -0.08104152933569862, "partial": 0.16895847066430136, "direct": 0.18811009798607586, "error": -0.0191516273217745, "absoluteError": 0.0191516273217745, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.09261889066936986 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.011577361333671233 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.32351285524717, "moment": 3.875, "term": 0.019587692407543496, "partial": 0.18854616307184488, "direct": 0.18811009798607586, "error": 0.00043606508576901626, "absoluteError": 0.00043606508576901626, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.020219553452948125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0006318610454046289 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.09445539329966175, "moment": 7.9375, "term": 0.0029286706418596297, "partial": 0.1914748337137045, "direct": 0.18811009798607586, "error": 0.0033647357276286316, "absoluteError": 0.0033647357276286316, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.0029517310406144298 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.000023060398754800233 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.36511159386752934, "moment": 15.96875, "term": -0.00569372633258995, "partial": 0.18578110738111456, "direct": 0.18811009798607586, "error": -0.0023289906049613063, "absoluteError": 0.0023289906049613063, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.005704868654180146 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000011142321590195597 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.41138940880159003, "moment": 31.984375, "term": 0.0032124104302095596, "partial": 0.18899351781132412, "direct": 0.18811009798607586, "error": 0.000883419825248255, "absoluteError": 0.000883419825248255, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.003213979756262422 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000015693260528625108 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.25457598836324935, "moment": 63.9921875, "term": -0.0009943160632531049, "partial": 0.187999201748071, "direct": 0.18811009798607586, "error": -0.00011089623800486503, "absoluteError": 0.00011089623800486503, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0009944374545439428 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.2139129083788364e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.002309672421461834, "moment": 127.99609375, "term": -0.000004510941280963416, "partial": 0.18799469080679004, "direct": 0.18811009798607586, "error": -0.00011540717928582023, "absoluteError": 0.00011540717928582023, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.000004511078948167645 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.3766720422874893e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.22596277928012465, "moment": 255.998046875, "term": 0.0002206650930868478, "partial": 0.1882153558998769, "direct": 0.18811009798607586, "error": 0.00010525791380103233, "absoluteError": 0.00010525791380103233, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00022066677664074673 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.6835538989314783e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.31419866730659207, "moment": 511.9990234375, "term": -0.00015341702540048514, "partial": 0.18806193887447642, "direct": 0.18811009798607586, "error": -0.00004815911159944397, "absoluteError": 0.00004815911159944397, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001534173180207969 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.926203117767275e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.23896462528699844, "moment": 1023.99951171875, "term": 0.000058340945151314845, "partial": 0.18812027981962773, "direct": 0.18811009798607586, "error": 0.000010181833551864417, "absoluteError": 0.000010181833551864417, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.0000583409729704586 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.781914375803881e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.052390599589914384, "moment": 2047.999755859375, "term": -0.000006395336101619657, "partial": 0.1881138844835261, "direct": 0.18811009798607586, "error": 0.0000037864974502255233, "absoluteError": 0.0000037864974502255233, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000006395336864003221 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 7.623835639957453e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.14464806520842635, "moment": 4095.9998779296875, "term": -0.000008828616998143194, "partial": 0.18810505586652795, "direct": 0.18811009798607586, "error": -0.000005042119547910007, "absoluteError": 0.000005042119547910007, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000008828617261256491 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 2.631132978575376e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.454369260617026, "x": 2.537573136654582, "z": -3.092041813450948, "direct": { "potential": 0.18707935458000446, "ex": 0.018689135644797916, "ez": -0.03069444132090846, "terms": [ { "role": "real", "distance": 5.689302879422381, "potential": 0.17576845901751803, "ex": 0.01377975207482933, "ez": -0.027651251792696462 }, { "role": "image", "distance": 4.397958823528359, "potential": -0.11368910443751358, "ex": -0.014915406560145335, "ez": 0.021113387139373534 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.01982479013011392, "ez": -0.02415657666758553 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18707935458000446, "error": 0.06292064541999554, "absoluteError": 0.06292064541999554, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.773010453362737, "moment": 1.75, "term": -0.08454801833654936, "partial": 0.16545198166345065, "direct": 0.18707935458000446, "error": -0.02162737291655381, "absoluteError": 0.02162737291655381, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.09662630667034212 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012078288333792766 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 3.875, "term": 0.023995800755615207, "partial": 0.18944778241906585, "direct": 0.18707935458000446, "error": 0.002368427839061382, "absoluteError": 0.002368427839061382, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02476985884450602 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0007740580888908131 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": 0.004744040505222073, "moment": 7.9375, "term": 0.00014709305277421956, "partial": 0.18959487547184006, "direct": 0.18707935458000446, "error": 0.0025155208918355987, "absoluteError": 0.0025155208918355987, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": 0.00014825126578818978 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": -0.0000011582130139702327 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 15.96875, "term": -0.004735356496791616, "partial": 0.18485951897504846, "direct": 0.18707935458000446, "error": -0.0022198356049560053, "absoluteError": 0.0022198356049560053, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.004744623339251091 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000009266842459474786 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.4187172917121639, "moment": 31.984375, "term": 0.003269631561793516, "partial": 0.18812915053684195, "direct": 0.18707935458000446, "error": 0.0010497959568374904, "absoluteError": 0.0010497959568374904, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0032712288415012803 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.000001597279707764297 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 63.9921875, "term": -0.0013293440933995846, "partial": 0.18679980644344238, "direct": 0.18707935458000446, "error": -0.00027954813656208555, "absoluteError": 0.00027954813656208555, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0013295063866596748 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.6229326009029234e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.1297080256585875, "moment": 127.99609375, "term": 0.00025332825641363483, "partial": 0.18705313469985602, "direct": 0.18707935458000446, "error": -0.000026219880148448116, "absoluteError": 0.000026219880148448116, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002533359876144287 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.73120079389736e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 255.998046875, "term": 0.00010723679769973054, "partial": 0.18716037149755574, "direct": 0.18707935458000446, "error": 0.00008101691755127427, "absoluteError": 0.00008101691755127427, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00010723761585781051 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -8.181580799698678e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.27563491752824176, "moment": 511.9990234375, "term": -0.00013458710536931576, "partial": 0.18702578439218642, "direct": 0.18707935458000446, "error": -0.00005357018781804168, "absoluteError": 0.00005357018781804168, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001345873620743368 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.567050210463272e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 1023.99951171875, "term": 0.00007470706669414928, "partial": 0.18710049145888058, "direct": 0.18707935458000446, "error": 0.000021136878876115706, "absoluteError": 0.000021136878876115706, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007470710231727165 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.562312236655791e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.20100188394358875, "moment": 2047.999755859375, "term": -0.000024536359861120236, "partial": 0.18707595509901945, "direct": 0.18707935458000446, "error": -0.000003399480985016856, "absoluteError": 0.000003399480985016856, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00002453636278608261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 2.924962375889136e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 4095.9998779296875, "term": 0.000001056201236909375, "partial": 0.18707701130025636, "direct": 0.18707935458000446, "error": -0.0000023432797481015566, "absoluteError": 0.0000023432797481015566, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000010562012683866257 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.147725070675092e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.5034566458293663, "x": 2.382797217969734, "z": -3.2128301259225793, "direct": { "potential": 0.18613536192393265, "ex": 0.017394994905829658, "ez": -0.03116470443167967, "terms": [ { "role": "real", "distance": 5.731607148408752, "potential": 0.17447113420493707, "ex": 0.012654874349810313, "ez": -0.027684987103797274 }, { "role": "image", "distance": 4.411669766190866, "potential": -0.11333577228100442, "ex": -0.013875482709369199, "ez": 0.021620518030887756 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.018615603265388546, "ez": -0.02510023535877015 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18613536192393265, "error": 0.06386463807606735, "absoluteError": 0.06386463807606735, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.8032075314806448, "moment": 1.75, "term": -0.08785082375569553, "partial": 0.16214917624430447, "direct": 0.18613536192393265, "error": -0.02398618567962818, "absoluteError": 0.02398618567962818, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1004009414350806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012550117679385075 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.46771350794084654, "moment": 3.875, "term": 0.028318591301105943, "partial": 0.19046776754541042, "direct": 0.18613536192393265, "error": 0.0043324056214777695, "absoluteError": 0.0043324056214777695, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.02923209424630291 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0009135029451969659 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.09064666593510395, "moment": 7.9375, "term": -0.002810577776796436, "partial": 0.18765718976861398, "direct": 0.18613536192393265, "error": 0.0015218278446813283, "absoluteError": 0.0015218278446813283, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0028327083104719986 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00002213053367556249 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.22337098258593527, "moment": 15.96875, "term": -0.0034833548614933143, "partial": 0.18417383490712066, "direct": 0.18613536192393265, "error": -0.001961527016811987, "absoluteError": 0.001961527016811987, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0034901716029052386 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000006816741411924294 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.39546119269714247, "moment": 31.984375, "term": 0.003088032003215983, "partial": 0.18726186691033664, "direct": 0.18613536192393265, "error": 0.0011265049864039867, "absoluteError": 0.0011265049864039867, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0030895405679464256 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000015085647304425906 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.39619276321327024, "moment": 63.9921875, "term": -0.0015474390618705257, "partial": 0.18571442784846612, "direct": 0.18613536192393265, "error": -0.0004209340754665336, "absoluteError": 0.0004209340754665336, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0015476279813018369 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8891943131125938e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.25202257016006985, "moment": 127.99609375, "term": 0.0004922165606281167, "partial": 0.18620664440909424, "direct": 0.18613536192393265, "error": 0.00007128248516158342, "absoluteError": 0.00007128248516158342, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004922315823438864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.5021715769771924e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.032880881792783534, "moment": 255.998046875, "term": -0.00003210999114410527, "partial": 0.18617453441795012, "direct": 0.18613536192393265, "error": 0.000039172494017469806, "absoluteError": 0.000039172494017469806, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00003211023612576517 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.44981659895059e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.17413418211331705, "moment": 511.9990234375, "term": -0.00008502629393492327, "partial": 0.1860895081240152, "direct": 0.18613536192393265, "error": -0.0000458537999174502, "absoluteError": 0.0000458537999174502, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00008502645611001809 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 1.6217509481433504e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.29533797808061824, "moment": 1023.99951171875, "term": 0.00007210396417297267, "partial": 0.18616161208818818, "direct": 0.18613536192393265, "error": 0.000026250164255531283, "absoluteError": 0.000026250164255531283, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00007210399855483844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -3.438186576597139e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.29456633033871005, "moment": 2047.999755859375, "term": -0.000035957799709920296, "partial": 0.18612565428847827, "direct": 0.18613536192393265, "error": -0.000009707635454381247, "absoluteError": 0.000009707635454381247, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000035957803996424566 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.286504268220015e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.18275281893604597, "moment": 4095.9998779296875, "term": 0.000011154346526464084, "partial": 0.18613680863500473, "direct": 0.18613536192393265, "error": 0.0000014467110720783882, "absoluteError": 0.0000014467110720783882, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011154346858889525 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.3242544111280217e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.552544031041707, "x": 2.2222809320784087, "z": -3.3258784492101814, "direct": { "potential": 0.1852745579177501, "ex": 0.01609556194832508, "ez": -0.0316085657826901, "terms": [ { "role": "real", "distance": 5.770919666469178, "potential": 0.17328260620405242, "ex": 0.011562822889416778, "ez": -0.027711253041794188 }, { "role": "image", "distance": 4.424463634070256, "potential": -0.11300804828630229, "ex": -0.012828830722954258, "ez": 0.022086112643558614 }, { "role": "central-image", "distance": 4.000000000000001, "potential": 0.12499999999999997, "ex": 0.017361569781862558, "ez": -0.025983425384454525 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.1852745579177501, "error": 0.0647254420822499, "absoluteError": 0.0647254420822499, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.8314696123025453, "moment": 1.75, "term": -0.0909419888455909, "partial": 0.1590580111544091, "direct": 0.1852745579177501, "error": -0.02621654676334101, "absoluteError": 0.02621654676334101, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.10393370153781817 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.012991712692227271 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.5370125742738177, "moment": 3.875, "term": 0.032514433207985055, "partial": 0.19157244436239415, "direct": 0.1852745579177501, "error": 0.006297886444644046, "absoluteError": 0.006297886444644046, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.033563285892113603 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0010488526841285501 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.18986965335337466, "moment": 7.9375, "term": -0.005887071771454732, "partial": 0.18568537259093942, "direct": 0.1852745579177501, "error": 0.0004108146731893192, "absoluteError": 0.0004108146731893192, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005933426667292958 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000046354895838226236 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.1264854483473023, "moment": 15.96875, "term": -0.001972475100874984, "partial": 0.18371289749006445, "direct": 0.1852745579177501, "error": -0.0015616604276856572, "absoluteError": 0.0015616604276856572, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0019763351304265984 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.00000386002955161445 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.3411995747413409, "moment": 31.984375, "term": 0.0026643201045819273, "partial": 0.18637721759464637, "direct": 0.1852745579177501, "error": 0.001102659676896267, "absoluteError": 0.001102659676896267, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0026656216776667256 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -0.0000013015730847982059 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.41470676961187086, "moment": 63.9921875, "term": -0.0016197505711988613, "partial": 0.1847574670234475, "direct": 0.1852745579177501, "error": -0.000517090894302602, "absoluteError": 0.000517090894302602, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0016199483187963706 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.9774759750932258e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.3479159359830652, "moment": 127.99609375, "term": 0.0006795025750611482, "partial": 0.18543696959850864, "direct": 0.1852745579177501, "error": 0.00016241168075853407, "absoluteError": 0.00016241168075853407, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006795233124669242 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.0737405775968146e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.17953444235033128, "moment": 255.998046875, "term": -0.00017532526622191273, "partial": 0.18526164433228673, "direct": 0.1852745579177501, "error": -0.00001291358546337551, "absoluteError": 0.00001291358546337551, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0001753266038577454 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.3376358326549178e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.027290124874755534, "moment": 511.9990234375, "term": -0.000013325230870592365, "partial": 0.18524831910141615, "direct": 0.1852745579177501, "error": -0.000026238816333956638, "absoluteError": 0.000026238816333956638, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000013325256286501726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.5415909359935237e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.20469372625897014, "moment": 1023.99951171875, "term": 0.000049974030432957864, "partial": 0.1852982931318491, "direct": 0.1852745579177501, "error": 0.00002373521409898549, "absoluteError": 0.00002373521409898549, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004997405426244388 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.3829486018392507e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.30011160261199443, "moment": 2047.999755859375, "term": -0.00003663471274852338, "partial": 0.18526165841910058, "direct": 0.1852745579177501, "error": -0.000012899498649521224, "absoluteError": 0.000012899498649521224, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00003663471711572198 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 4.367198600259063e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.29063696684925094, "moment": 4095.9998779296875, "term": 0.00001773907215500454, "partial": 0.18527939749125558, "direct": 0.1852745579177501, "error": 0.000004839573505471817, "absoluteError": 0.000004839573505471817, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.0000177390726836701 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.286655629774958e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.6016314162540475, "x": 2.056410976772887, "z": -3.430914440001088, "direct": { "potential": 0.18449372229463365, "ex": 0.014789775232627133, "ez": -0.03202431863517914, "terms": [ { "role": "real", "distance": 5.807207397708846, "potential": 0.17219980818913688, "ex": 0.010500449811179707, "ez": -0.027731346092858707 }, { "role": "image", "distance": 4.436317666714264, "potential": -0.11270608589450323, "ex": -0.011776385334590755, "ez": 0.022511046520188066 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.01606571075603818, "ez": -0.0268040190625085 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18449372229463365, "error": 0.06550627770536635, "absoluteError": 0.06550627770536635, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.857728610000272, "moment": 1.75, "term": -0.09381406671877975, "partial": 0.15618593328122027, "direct": 0.18449372229463365, "error": -0.02830778901341338, "absoluteError": 0.02830778901341338, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.107216076250034 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.01340200953125425 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 3.875, "term": 0.03654291822500868, "partial": 0.19272885150622893, "direct": 0.18449372229463365, "error": 0.008235129211595277, "absoluteError": 0.008235129211595277, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.03772172203871864 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0011788038137099575 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.29098093229546573, "moment": 7.9375, "term": -0.009022113867559606, "partial": 0.18370673763866932, "direct": 0.18449372229463365, "error": -0.000786984655964329, "absoluteError": 0.000786984655964329, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.009093154134233304 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00007104026667369769 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.01589099092447077, "moment": 15.96875, "term": -0.0002478117786378346, "partial": 0.18345892586003149, "direct": 0.18449372229463365, "error": -0.0010347964346021643, "absoluteError": 0.0010347964346021643, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.0002482967331948558 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 4.849545570212027e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.2573190294392845, "moment": 31.984375, "term": 0.0020093233232964147, "partial": 0.1854682491833279, "direct": 0.18449372229463365, "error": 0.0009745268886942604, "absoluteError": 0.0009745268886942604, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00201030491749441 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -9.815941979953174e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.3913923122168314, "moment": 63.9921875, "term": -0.0015286895891990977, "partial": 0.1839395595941288, "direct": 0.18449372229463365, "error": -0.0005541627005048455, "absoluteError": 0.0005541627005048455, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0015288762195969977 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.8663039790002413e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.4028992591938932, "moment": 127.99609375, "term": 0.0007868886009458481, "partial": 0.18472644819507467, "direct": 0.18449372229463365, "error": 0.0002327259004410165, "absoluteError": 0.0002327259004410165, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0007869126156130726 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.401466722452004e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.3054908922324925, "moment": 255.998046875, "term": -0.0002983286733612792, "partial": 0.18442811952171337, "direct": 0.18449372229463365, "error": -0.00006560277292028127, "absoluteError": 0.00006560277292028127, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00029833094944579344 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.2760845142043567e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.13680962873425248, "moment": 511.9990234375, "term": 0.00006680144911650106, "partial": 0.18449492097082987, "direct": 0.18449372229463365, "error": 0.0000011986761962179404, "absoluteError": 0.0000011986761962179404, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00006680157653039672 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.2741389566497177e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.05198529090036432, "moment": 1023.99951171875, "term": 0.000012691715359337387, "partial": 0.1845076126861892, "direct": 0.18449372229463365, "error": 0.000013890391555554382, "absoluteError": 0.000013890391555554382, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000012691721411221758 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -6.051884370432738e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.20949736224868543, "moment": 2047.999755859375, "term": -0.000025573405429034878, "partial": 0.18448203928076018, "direct": 0.18449372229463365, "error": -0.00001168301387347026, "absoluteError": 0.00001168301387347026, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000025573408477622733 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 3.0485878560093323e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.2967562558718855, "moment": 4095.9998779296875, "term": 0.000018112563905509024, "partial": 0.1845001518446657, "direct": 0.18449372229463365, "error": 0.000006429550032049924, "absoluteError": 0.000006429550032049924, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001811256444530551 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.397964848669025e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.650718801466388, "x": 1.8855869473039915, "z": -3.5276850573934198, "direct": { "potential": 0.1837899575872154, "ex": 0.013476935215724385, "ez": -0.032410292480504005, "terms": [ { "role": "real", "distance": 5.840440071567697, "potential": 0.17121997447900858, "ex": 0.009464765256411326, "ez": -0.02774639565383384 }, { "role": "image", "distance": 4.447210930166617, "potential": -0.11243001689179319, "ex": -0.010718978066499374, "ez": 0.02289614268421593 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.014731148025812433, "ez": -0.027560039510886092 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.1837899575872154, "error": 0.06621004241278461, "absoluteError": 0.06621004241278461, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.8819212643483549, "moment": 1.75, "term": -0.09646013828810132, "partial": 0.15353986171189868, "direct": 0.1837899575872154, "error": -0.030250095875316713, "absoluteError": 0.030250095875316713, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11024015804354437 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.013780019755443046 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.6666776747647014, "moment": 3.875, "term": 0.04036524983926903, "partial": 0.1939051115511677, "direct": 0.1837899575872154, "error": 0.010115153963952322, "absoluteError": 0.010115153963952322, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04166735467279384 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0013021048335248074 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.39198118683660804, "moment": 7.9375, "term": -0.01215371355670147, "partial": 0.18175139799446624, "direct": 0.1837899575872154, "error": -0.0020385595927491507, "absoluteError": 0.0020385595927491507, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.012249412088644001 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00009569853194253126 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.1049606957439666, "moment": 15.96875, "term": 0.0016368077247670572, "partial": 0.18338820571923328, "direct": 0.1837899575872154, "error": -0.0004017518679821086, "absoluteError": 0.0004017518679821086, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0016400108709994782 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000003203146232420856 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.14696422437396278, "moment": 31.984375, "term": 0.0011475973788967202, "partial": 0.18453580309813, "direct": 0.1837899575872154, "error": 0.0007458455109146112, "absoluteError": 0.0007458455109146112, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.0011481580029215842 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.606240248640548e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.32508718317204993, "moment": 63.9921875, "term": -0.001269716795617228, "partial": 0.1832660863025128, "direct": 0.1837899575872154, "error": -0.0005238712847026039, "absoluteError": 0.0005238712847026039, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.00126987180926582 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.5501364859201905e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.40647593552017675, "moment": 127.99609375, "term": 0.0007938740837090988, "partial": 0.18405996038622188, "direct": 0.1837899575872154, "error": 0.00027000279900649127, "absoluteError": 0.00027000279900649127, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0007938983115628452 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.422785374642472e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.38769828531408385, "moment": 255.998046875, "term": -0.000378608718174713, "partial": 0.18368135166804717, "direct": 0.1837899575872154, "error": -0.00010860591916822537, "absoluteError": 0.00010860591916822537, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000378611606752035 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.8885773220217514e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.28453574103629437, "moment": 511.9990234375, "term": 0.0001389332023083192, "partial": 0.18382028487035548, "direct": 0.1837899575872154, "error": 0.000030327283140091366, "absoluteError": 0.000030327283140091366, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001389334673028781 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.6499455891204473e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.12785397214267163, "moment": 1023.99951171875, "term": -0.00003121433378348313, "partial": 0.183789070536572, "direct": 0.1837899575872154, "error": -8.870506433833469e-7, "absoluteError": 8.870506433833469e-7, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00003121434866764444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.4884161313841077e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.04340523075622116, "moment": 2047.999755859375, "term": -0.00000529848945091729, "partial": 0.1837837720471211, "direct": 0.1837899575872154, "error": -0.000006185540094294506, "absoluteError": 0.000006185540094294506, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000005298490082546528 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 6.316292384322319e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.1905694667741781, "moment": 4095.9998779296875, "term": 0.000011631436834397303, "partial": 0.18379540348395548, "direct": 0.1837899575872154, "error": 0.00000544589674009166, "absoluteError": 0.00000544589674009166, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000011631437181041144 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -3.4664384070161414e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.6998061866787286, "x": 1.7102203737211281, "z": -3.6159571724937734, "direct": { "potential": 0.18316067203162706, "ex": 0.012156670275375965, "ez": -0.03276488088736515, "terms": [ { "role": "real", "distance": 5.870590148356049, "potential": 0.17034062585343854, "ex": 0.008452920638260315, "ez": -0.02775738204057872 }, { "role": "image", "distance": 4.457124316472873, "potential": -0.11217995382181149, "ex": -0.009657347032580664, "ez": 0.023242166563321176 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.013361096669696313, "ez": -0.028249665410107604 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18316067203162706, "error": 0.06683932796837294, "absoluteError": 0.06683932796837294, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9039892931234433, "moment": 1.75, "term": -0.09887382893537662, "partial": 0.1511261710646234, "direct": 0.18316067203162706, "error": -0.032034500967003665, "absoluteError": 0.032034500967003665, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11299866164043042 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014124832705053802 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 3.875, "term": 0.04394461690782179, "partial": 0.19507078797244518, "direct": 0.18316067203162706, "error": 0.011910115940818117, "absoluteError": 0.011910115940818117, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.04536218519517088 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00141756828734909 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.4908585973608312, "moment": 7.9375, "term": -0.015219492642779678, "partial": 0.17985129532966548, "direct": 0.18316067203162706, "error": -0.003309376701961575, "absoluteError": 0.003309376701961575, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.015339331167525975 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00011983852474629668 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 15.96875, "term": 0.0036207718634100002, "partial": 0.1834720671930755, "direct": 0.18316067203162706, "error": 0.00031139516144843005, "absoluteError": 0.00031139516144843005, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0036278575226338945 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000007085659223894325 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": 0.014883367911763479, "moment": 31.984375, "term": 0.00011621953626777588, "partial": 0.18358828672934327, "direct": 0.18316067203162706, "error": 0.00042761469771621097, "absoluteError": 0.00042761469771621097, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": 0.00011627631181065218 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": -5.677554287629501e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 63.9921875, "term": -0.000852052790010912, "partial": 0.18273623393933236, "direct": 0.18316067203162706, "error": -0.00042443809229469887, "absoluteError": 0.00042443809229469887, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0008521568130593812 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 1.0402304846916274e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.3534847751479016, "moment": 127.99609375, "term": 0.0006903788821262892, "partial": 0.18342661282145864, "direct": 0.18316067203162706, "error": 0.0002659407898315813, "absoluteError": 0.0002659407898315813, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0006903999514607453 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -2.1069334456199503e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.408266471404419, "moment": 255.998046875, "term": -0.0003986946841586277, "partial": 0.18302791813730002, "direct": 0.18316067203162706, "error": -0.00013275389432704232, "absoluteError": 0.00013275389432704232, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.00039869772598087795 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.0418222502203213e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.38292073555131134, "moment": 511.9990234375, "term": 0.00018697265878318844, "partial": 0.18321489079608322, "direct": 0.18316067203162706, "error": 0.00005421876445615981, "absoluteError": 0.00005421876445615981, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00018697301540591374 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.5662272530730007e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 1023.99951171875, "term": -0.00007086350169238868, "partial": 0.1831440272943908, "direct": 0.18316067203162706, "error": -0.00001664473723625437, "absoluteError": 0.00001664473723625437, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007086353548275557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.379036687982348e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.1528151867784473, "moment": 2047.999755859375, "term": 0.000018654195381037285, "partial": 0.18316268148977186, "direct": 0.18316067203162706, "error": 0.0000020094581447971382, "absoluteError": 0.0000020094581447971382, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00001865419760479093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.223753643607012e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 4095.9998779296875, "term": 7.899842700966444e-8, "partial": 0.18316276048819885, "direct": 0.18316067203162706, "error": 0.000002088456571791575, "absoluteError": 0.000002088456571791575, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 7.89984293640011e-8 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -2.354336660027537e-15 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.748893571891069, "x": 1.5307337294603596, "z": -3.695518130045147, "direct": { "potential": 0.18260356430665747, "ex": 0.010828903612120942, "ez": -0.03308656566160628, "terms": [ { "role": "real", "distance": 5.897632789533492, "potential": 0.16955955646724843, "ex": 0.007462192831843593, "ez": -0.027765151930532892 }, { "role": "image", "distance": 4.466040542812521, "potential": -0.11195599216059096, "ex": -0.00859214648113171, "ez": 0.023549821659904324 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.01195885726140906, "ez": -0.02887123539097771 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18260356430665747, "error": 0.06739643569334253, "absoluteError": 0.06739643569334253, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9238795325112867, "moment": 1.75, "term": -0.10104932386842198, "partial": 0.14895067613157803, "direct": 0.18260356430665747, "error": -0.03365288817507944, "absoluteError": 0.03365288817507944, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11548494156391084 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014435617695488855 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 3.875, "term": 0.04724654816911567, "partial": 0.1961972243006937, "direct": 0.18260356430665747, "error": 0.013593659994036222, "absoluteError": 0.013593659994036222, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.048770630368119405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0015240821990037314 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.5856319699199135, "moment": 7.9375, "term": -0.018158022504841068, "partial": 0.17803920179585261, "direct": 0.18260356430665747, "error": -0.004564362510804859, "absoluteError": 0.004564362510804859, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.018300999059997297 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00014297655515622888 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.361595869120796, "moment": 15.96875, "term": 0.005638900424826866, "partial": 0.18367810222067948, "direct": 0.18260356430665747, "error": 0.0010745379140220113, "absoluteError": 0.0010745379140220113, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.0056499354550124375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000011035030185571167 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.13282226460246935, "moment": 31.984375, "term": -0.0010371672654771987, "partial": 0.18264093495520228, "direct": 0.18260356430665747, "error": 0.00003737064854480998, "absoluteError": 0.00003737064854480998, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0010376739422067918 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 5.0667672959316e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 63.9921875, "term": -0.00029823823574192434, "partial": 0.18234269671946035, "direct": 0.18260356430665747, "error": -0.0002608675871971222, "absoluteError": 0.0002608675871971222, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0002982746462211994 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 3.6410479275048754e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.2448614310714851, "moment": 127.99609375, "term": 0.0004782303876828761, "partial": 0.18282092710714323, "direct": 0.18260356430665747, "error": 0.00021736280048575973, "absoluteError": 0.00021736280048575973, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0004782449825614943 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -1.4594878618209665e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 255.998046875, "term": -0.00034897546262992125, "partial": 0.18247195164451332, "direct": 0.18260356430665747, "error": -0.00013161266214414824, "absoluteError": 0.00013161266214414824, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0003489781251217206 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 2.6624917993295334e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.40596522898250775, "moment": 511.9990234375, "term": 0.00019822483137953286, "partial": 0.18267017647589284, "direct": 0.18260356430665747, "error": 0.00006661216923536939, "absoluteError": 0.00006661216923536939, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00019822520946411511 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.780845822603514e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 1023.99951171875, "term": -0.00009545927948813527, "partial": 0.18257471719640472, "direct": 0.18260356430665747, "error": -0.000028847110252749886, "absoluteError": 0.000028847110252749886, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009545932500668852 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.551855326017786e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.3205772382807112, "moment": 2047.999755859375, "term": 0.000039132958992300586, "partial": 0.18261385015539702, "direct": 0.18260356430665747, "error": 0.00001028584873954963, "absoluteError": 0.00001028584873954963, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00003913296365731338 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -4.6650127956048705e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 4095.9998779296875, "term": -0.000012771625801113792, "partial": 0.1826010785295959, "direct": 0.18260356430665747, "error": -0.000002485777061578265, "absoluteError": 0.000002485777061578265, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000012771626181737913 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 3.806241208832834e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.7979809571034093, "x": 1.3475594135688813, "z": -3.766176260732083, "direct": { "potential": 0.18211661001326795, "ex": 0.009493821064439086, "ez": -0.033373937704008996, "terms": [ { "role": "real", "distance": 5.921545832207021, "potential": 0.16887482227377945, "ex": 0.006489969220935973, "ez": -0.027770431550423087 }, { "role": "image", "distance": 4.473944150381415, "potential": -0.1117582122605115, "ex": -0.0075239560750037715, "ez": 0.023819745883383488 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.010527807918506885, "ez": -0.029423252036969397 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18211661001326795, "error": 0.06788338998673205, "absoluteError": 0.06788338998673205, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9415440651830207, "moment": 1.75, "term": -0.1029813821293929, "partial": 0.1470186178706071, "direct": 0.18211661001326795, "error": -0.03509799214266085, "absoluteError": 0.03509799214266085, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.11769300814787759 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014711626018484698 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.8297578400220524, "moment": 3.875, "term": 0.05023924422008521, "partial": 0.19725786209069232, "direct": 0.18211661001326795, "error": 0.015141252077424366, "absoluteError": 0.015141252077424366, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05185986500137828 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0016206207812930712 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.6743932395643957, "moment": 7.9375, "term": -0.02091014194938434, "partial": 0.17634772014130798, "direct": 0.18211661001326795, "error": -0.005768889871959976, "absoluteError": 0.005768889871959976, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.021074788736387365 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001646467870030263 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.4888807865284246, "moment": 15.96875, "term": 0.007623842831909942, "partial": 0.18397156297321793, "direct": 0.18211661001326795, "error": 0.0018549529599499737, "absoluteError": 0.0018549529599499737, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.007638762289506634 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000014919457596692645 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.28903045399660526, "moment": 31.984375, "term": -0.0022569478581659355, "partial": 0.181714615115052, "direct": 0.18211661001326795, "error": -0.0004019948982159627, "absoluteError": 0.0004019948982159627, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0022580504218484786 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000011025636825432025 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.0915133436920188, "moment": 63.9921875, "term": 0.0003574303618342047, "partial": 0.18207204547688619, "direct": 0.18211661001326795, "error": -0.00004456453638176927, "absoluteError": 0.00004456453638176927, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00035747399879694844 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.363696274376812e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.08772181866886648, "moment": 127.99609375, "term": 0.00017132644845978904, "partial": 0.18224337192534598, "direct": 0.18211661001326795, "error": 0.00012676191207802723, "absoluteError": 0.00012676191207802723, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.00017133167708762985 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -5.228627840809016e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.2349378465206396, "moment": 255.998046875, "term": -0.00022942974031945132, "partial": 0.18201394218502653, "direct": 0.18211661001326795, "error": -0.00010266782824142062, "absoluteError": 0.00010266782824142062, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.0002294314907428121 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 1.7504233607697457e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.3398554607757397, "moment": 511.9990234375, "term": 0.00016594473269184143, "partial": 0.18217988691771836, "direct": 0.18211661001326795, "error": 0.00006327690445040446, "absoluteError": 0.00006327690445040446, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00016594504920690415 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -3.1651506272679166e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.39653483314695764, "moment": 1023.99951171875, "term": -0.00009681021583603874, "partial": 0.1820830767018823, "direct": 0.18211661001326795, "error": -0.00003353331138564175, "absoluteError": 0.00003353331138564175, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00009681026199876896 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 4.616273021639297e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.403809162435237, "moment": 2047.999755859375, "term": 0.000049293104772635945, "partial": 0.18213236980665495, "direct": 0.18211661001326795, "error": 0.000015759793386999066, "absoluteError": 0.000015759793386999066, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004929311064883264 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.876196700195389e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.36523430030035103, "moment": 4095.9998779296875, "term": -0.000022292131922334025, "partial": 0.18211007767473264, "direct": 0.18211661001326795, "error": -0.00000653233853531443, "absoluteError": 0.00000653233853531443, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000022292132586691347 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 6.643573220578238e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.84706834231575, "x": 1.1611387090178495, "z": -3.8277613429288353, "direct": { "potential": 0.18169804980829934, "ex": 0.00815183976185349, "ez": -0.03362571489482158, "terms": [ { "role": "real", "distance": 5.94230976739814, "potential": 0.16828473087794837, "ex": 0.0055337335131844315, "ez": -0.027773837871173972 }, { "role": "image", "distance": 4.480821503131857, "potential": -0.11158668106964906, "ex": -0.006453289915532895, "ez": 0.02405250846798393 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.009071396164201953, "ez": -0.029904385491631536 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18169804980829934, "error": 0.06830195019170066, "absoluteError": 0.06830195019170066, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9569403357322088, "moment": 1.75, "term": -0.10466534922071034, "partial": 0.14533465077928964, "direct": 0.18169804980829934, "error": -0.0363633990290097, "absoluteError": 0.0363633990290097, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1196175419665261 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.014952192745815763 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 3.875, "term": 0.0528938837617855, "partial": 0.19822853454107514, "direct": 0.18169804980829934, "error": 0.016530484732775796, "absoluteError": 0.016530484732775796, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.054600138076681806 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017062543148963064 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.7553484285018567, "moment": 7.9375, "term": -0.02342022715325581, "partial": 0.17480830738781936, "direct": 0.18169804980829934, "error": -0.006889742420479988, "absoluteError": 0.006889742420479988, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.02360463839068302 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0001844112374272111 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 15.96875, "term": 0.009508568108359164, "partial": 0.1843168754961785, "direct": 0.18169804980829934, "error": 0.0026188256878791616, "absoluteError": 0.0026188256878791616, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.009527175873737557 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000018607765378393666 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.44599261608168855, "moment": 31.984375, "term": -0.0034826159863251363, "partial": 0.18083425950985338, "direct": 0.18169804980829934, "error": -0.0008637902984459656, "absoluteError": 0.0008637902984459656, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.003484317313138192 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000017013268130557577 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 63.9921875, "term": 0.001071467680421373, "partial": 0.18190572719027476, "direct": 0.18169804980829934, "error": 0.00020767738197541297, "absoluteError": 0.00020767738197541297, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0010715984907840176 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -1.308103626445334e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.10525161013461, "moment": 127.99609375, "term": -0.00020556327755932605, "partial": 0.18170016391271543, "direct": 0.18169804980829934, "error": 0.0000021141044160843947, "absoluteError": 0.0000021141044160843947, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.00020556955104416015 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 6.273484834111333e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 255.998046875, "term": -0.000049988855478407816, "partial": 0.18165017505723702, "direct": 0.18169804980829934, "error": -0.00004787475106232675, "absoluteError": 0.00004787475106232675, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": -0.000049989236866018185 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": 3.8138761036696003e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.18608382805779736, "moment": 511.9990234375, "term": 0.00009086107086477653, "partial": 0.1817410361281018, "direct": 0.18169804980829934, "error": 0.00004298631980245715, "absoluteError": 0.00004298631980245715, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.00009086124416884637 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -1.7330406984109185e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 1023.99951171875, "term": -0.00007135373770599912, "partial": 0.1816696823903958, "direct": 0.18169804980829934, "error": -0.000028367417903546466, "absoluteError": 0.000028367417903546466, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00007135377173012885 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 3.402412973886912e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.36476783781133404, "moment": 2047.999755859375, "term": 0.00004452731864350821, "partial": 0.1817142097090393, "direct": 0.18169804980829934, "error": 0.000016159900739942668, "absoluteError": 0.000016159900739942668, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.00004452732395157886 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -5.308070653865202e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 4095.9998779296875, "term": -0.00002448266923320739, "partial": 0.1816897270398061, "direct": 0.18169804980829934, "error": -0.000008322768493246313, "absoluteError": 0.000008322768493246313, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000024482669962847813 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 7.29640423144335e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.8961557275280905, "x": 0.9719207196130563, "z": -3.880125012778176, "direct": { "potential": 0.18134637911514445, "ex": 0.006803577533292814, "ez": -0.03384075728367797, "terms": [ { "role": "real", "distance": 5.959907721694415, "potential": 0.16778783274780265, "ex": 0.004591052234960046, "ez": -0.027775888029743234 }, { "role": "image", "distance": 4.486660786462263, "potential": -0.11144145363265819, "ex": -0.005380605323644234, "ez": 0.02424860740839476 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.007593130621977002, "ez": -0.0303134766623295 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18134637911514445, "error": 0.06865362088485555, "absoluteError": 0.06865362088485555, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.970031253194544, "moment": 1.75, "term": -0.10609716831815325, "partial": 0.14390283168184675, "direct": 0.18134637911514445, "error": -0.0374435474332977, "absoluteError": 0.0374435474332977, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.121253906649318 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.01515673833116475 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 3.875, "term": 0.05518490116425635, "partial": 0.1990877328461031, "direct": 0.18134637911514445, "error": 0.017741353730958642, "absoluteError": 0.017741353730958642, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05696505926632914 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0017801581020727856 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.8268561732948031, "moment": 7.9375, "term": -0.025637386232529296, "partial": 0.1734503466135738, "direct": 0.18134637911514445, "error": -0.007896032501570643, "absoluteError": 0.007896032501570643, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.025839255415462597 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00020186918293330154 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 15.96875, "term": 0.01122885176620281, "partial": 0.18467919837977662, "direct": 0.18134637911514445, "error": 0.003332819264632164, "absoluteError": 0.003332819264632164, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.011250826035803988 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000021974269601179665 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.5957678730232003, "moment": 31.984375, "term": -0.004652163833917583, "partial": 0.18002703454585903, "direct": 0.18134637911514445, "error": -0.0013193445692854244, "absoluteError": 0.0013193445692854244, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.004654436507993753 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000022726740761688245 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 63.9921875, "term": 0.0017945619585907437, "partial": 0.1818215965044498, "direct": 0.18134637911514445, "error": 0.00047521738930533797, "absoluteError": 0.00047521738930533797, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0017947810480741513 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -2.1908948340748917e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.3170599751888516, "moment": 127.99609375, "term": -0.0006192388657935322, "partial": 0.18120235763865625, "direct": 0.18134637911514445, "error": -0.00014402147648820418, "absoluteError": 0.00014402147648820418, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0006192577640407258 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 1.8898247193625664e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 255.998046875, "term": 0.0001705460179074426, "partial": 0.1813729036565637, "direct": 0.18134637911514445, "error": 0.000026524541419242764, "absoluteError": 0.000026524541419242764, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00017054731908022611 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -1.3011727835100259e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.038159342705236465, "moment": 511.9990234375, "term": -0.00001863245601663395, "partial": 0.18135427120054706, "direct": 0.18134637911514445, "error": 0.000007892085402610993, "absoluteError": 0.000007892085402610993, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.000018632491555291243 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 3.5538657293875204e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 1023.99951171875, "term": -0.000021202742505950446, "partial": 0.18133306845804112, "direct": 0.18134637911514445, "error": -0.000013310657103332568, "absoluteError": 0.000013310657103332568, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": -0.00002120275261621075 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": 1.0110260303597807e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": 0.195519374167494, "moment": 2047.999755859375, "term": 0.00002386710825924906, "partial": 0.18135693556630036, "direct": 0.18134637911514445, "error": 0.000010556451155913082, "absoluteError": 0.000010556451155913082, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": 0.000023867111104430418 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": -2.8451813583887122e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 4095.9998779296875, "term": -0.000017328218883179408, "partial": 0.18133960734741716, "direct": 0.18134637911514445, "error": -0.000006771767727287159, "absoluteError": 0.000006771767727287159, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.00001732821939960059 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 5.164211809516129e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.945243112740431, "x": 0.7803612880645144, "z": -3.9231411216129217, "direct": { "potential": 0.18106033934328625, "ex": 0.0054498229828134365, "ez": -0.03401807981905359, "terms": [ { "role": "real", "distance": 5.974325441960095, "potential": 0.1673829137222082, "ex": 0.003659561817191219, "ez": -0.027777007160685555 }, { "role": "image", "distance": 4.4914520059344865, "potential": -0.11132257437892194, "ex": -0.004306311397381802, "ez": 0.024408467354232917 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.006096572563004019, "ez": -0.03064954001260095 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18106033934328625, "error": 0.06893966065671375, "absoluteError": 0.06893966065671375, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9807852804032304, "moment": 1.75, "term": -0.10727339004410333, "partial": 0.14272660995589667, "direct": 0.18106033934328625, "error": -0.038333729387389576, "absoluteError": 0.038333729387389576, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1225981600504038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015324770006300475 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.942909649383465, "moment": 3.875, "term": 0.05709023267751448, "partial": 0.19981684263341115, "direct": 0.18106033934328625, "error": 0.018756503290124904, "absoluteError": 0.018756503290124904, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.05893185308646656 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.00184162040895208 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.8874629878403022, "moment": 7.9375, "term": -0.027516552601493743, "partial": 0.1723002900319174, "direct": 0.18106033934328625, "error": -0.00876004931136884, "absoluteError": 0.00876004931136884, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.027733218370009444 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00021666576851569878 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 15.96875, "term": 0.012725664903539066, "partial": 0.18502595493545648, "direct": 0.18106033934328625, "error": 0.003965615592170235, "absoluteError": 0.003965615592170235, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.012750568357362038 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00002490345382297273 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.73067124627282, "moment": 31.984375, "term": -0.0057055818219011786, "partial": 0.1793203731135553, "direct": 0.18106033934328625, "error": -0.0017399662297309382, "absoluteError": 0.0017399662297309382, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.005708369111506406 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000027872896052277374 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 63.9921875, "term": 0.0024754567419142805, "partial": 0.18179582985546958, "direct": 0.18106033934328625, "error": 0.0007354905121833288, "absoluteError": 0.0007354905121833288, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0024757589585840296 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.0221666974902706e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.5281402859064391, "moment": 127.99609375, "term": -0.0010314925162968809, "partial": 0.1807643373391727, "direct": 0.18106033934328625, "error": -0.00029600200411356026, "absoluteError": 0.00029600200411356026, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001031523995911014 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 3.147961413302655e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 255.998046875, "term": 0.0004068967030095573, "partial": 0.18117123404218224, "direct": 0.18106033934328625, "error": 0.0001108946988959969, "absoluteError": 0.0001108946988959969, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.00040689980740872273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -3.1043991654107875e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.3024539676839803, "moment": 511.9990234375, "term": -0.00014768231972598562, "partial": 0.18102355172245627, "direct": 0.18106033934328625, "error": -0.000036787620829981105, "absoluteError": 0.000036787620829981105, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0001476826014081935 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 2.816822078861113e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 1023.99951171875, "term": 0.00004605019692575477, "partial": 0.181069601919382, "direct": 0.18106033934328625, "error": 0.000009262576095764308, "absoluteError": 0.000009262576095764308, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00004605021888421028 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -2.195845550737871e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.07821867068308724, "moment": 2047.999755859375, "term": -0.000009548176435387583, "partial": 0.18106005374294665, "direct": 0.18106033934328625, "error": -2.8560033960012277e-7, "absoluteError": 2.8560033960012277e-7, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000009548177573619048 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.138231465055829e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 4095.9998779296875, "term": -0.0000015786594291554173, "partial": 0.18105847508351747, "direct": 0.18106033934328625, "error": -0.0000018642597687801299, "absoluteError": 0.0000018642597687801299, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000001578659476203136 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.704771865019608e-14 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 2.9943304979527716, "x": 0.5869218978214472, "z": -3.956706039859124, "direct": { "potential": 0.18083891055779716, "ex": 0.0040915061412316, "ez": -0.03415686281155965, "terms": [ { "role": "real", "distance": 5.985551282834064, "potential": 0.1670689887609677, "ex": 0.0027369561844032414, "ez": -0.02777753478781316 }, { "role": "image", "distance": 4.49518698608402, "potential": -0.11123007820317053, "ex": -0.0032307773699016976, "ez": 0.024532437912652916 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.004585327326730056, "ez": -0.030911765936399407 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18083891055779716, "error": 0.06916108944220284, "absoluteError": 0.06916108944220284, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.989176509964781, "moment": 1.75, "term": -0.10819118077739792, "partial": 0.14180881922260208, "direct": 0.18083891055779716, "error": -0.03903009133519508, "absoluteError": 0.03903009133519508, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.12364706374559763 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015455882968199703 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 3.875, "term": 0.058591528917527065, "partial": 0.20040034814012914, "direct": 0.18083891055779716, "error": 0.019561437582331975, "absoluteError": 0.019561437582331975, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06048157823744729 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0018900493199202279 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.9359344994389449, "moment": 7.9375, "term": -0.029019453473814943, "partial": 0.1713808946663142, "direct": 0.18083891055779716, "error": -0.009458015891482957, "absoluteError": 0.009458015891482957, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.02924795310746703 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00022849963365208616 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 15.96875, "term": 0.013947374461752985, "partial": 0.18532826912806719, "direct": 0.18083891055779716, "error": 0.0044893585702700245, "absoluteError": 0.0044893585702700245, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.013974668736629213 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000027294274876228932 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.843709698872081, "moment": 31.984375, "term": -0.006588263525356864, "partial": 0.17874000560271033, "direct": 0.18083891055779716, "error": -0.0020989049550868277, "absoluteError": 0.0020989049550868277, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.006591482022438133 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000032184970812686196 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 63.9921875, "term": 0.003065030735511151, "partial": 0.18180503633822148, "direct": 0.18083891055779716, "error": 0.0009661257804243206, "absoluteError": 0.0009661257804243206, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00306540493044895 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -3.741949377989441e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.7184273953711477, "moment": 127.99609375, "term": -0.001403135684974575, "partial": 0.1804019006532469, "direct": 0.18083891055779716, "error": -0.00043700990455025623, "absoluteError": 0.00043700990455025623, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001403178506584273 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 4.2821609698006376e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.645820864860035, "moment": 255.998046875, "term": 0.0006306796265994731, "partial": 0.18103258027984637, "direct": 0.18083891055779716, "error": 0.00019366972204920563, "absoluteError": 0.00019366972204920563, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0006306844383398779 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -4.811740404814742e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.568078325870053, "moment": 511.9990234375, "term": -0.0002773814659895678, "partial": 0.1807551988138568, "direct": 0.18083891055779716, "error": -0.00008371174394036784, "absoluteError": 0.00008371174394036784, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00027738199505373683 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 5.290641690325486e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 1023.99951171875, "term": 0.00011875671085049533, "partial": 0.1808739555247073, "direct": 0.18083891055779716, "error": 0.000035044966910147135, "absoluteError": 0.000035044966910147135, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00011875676747813485 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -5.662763952166312e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.4021488268732769, "moment": 2047.999755859375, "term": -0.00004909042711589367, "partial": 0.1808248650975914, "direct": 0.18083891055779716, "error": -0.000014045460205752702, "absoluteError": 0.000014045460205752702, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00004909043296792931 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 5.852035637847103e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 4095.9998779296875, "term": 0.000019320714068173424, "partial": 0.1808441858116596, "direct": 0.18083891055779716, "error": 0.000005275253862430107, "absoluteError": 0.000005275253862430107, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00001932071464397559 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -5.758021665804264e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 3.043417883165112, "x": 0.3920685613182433, "z": -3.9807389066887873, "direct": { "potential": 0.18068130554909695, "ex": 0.0027296695998760764, "ez": -0.03425646028939676, "terms": [ { "role": "real", "distance": 5.99357619679229, "potential": 0.16684529689222793, "ex": 0.0018209747603989063, "ez": -0.027777729897541962 }, { "role": "image", "distance": 4.49785936937659, "potential": -0.11116399134313103, "ex": -0.0021543407958216068, "ez": 0.02462079231665136 }, { "role": "central-image", "distance": 3.9999999999999996, "potential": 0.12500000000000003, "ex": 0.0030630356352987767, "ez": -0.03109952270850616 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18068130554909695, "error": 0.06931869445090305, "absoluteError": 0.06931869445090305, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9951847266721968, "moment": 1.75, "term": -0.10884832947977152, "partial": 0.14115167052022848, "direct": 0.18068130554909695, "error": -0.03952963502886847, "absoluteError": 0.03952963502886847, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.1243980908340246 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015549761354253075 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9855889603024226, "moment": 3.875, "term": 0.059674331580810744, "partial": 0.20082600210103924, "direct": 0.18068130554909695, "error": 0.020144696551942287, "absoluteError": 0.020144696551942287, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06159931001890141 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019249784380906691 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.971281982334704, "moment": 7.9375, "term": -0.030115432557741066, "partial": 0.17071056954329816, "direct": 0.18068130554909695, "error": -0.009970736005798786, "absoluteError": 0.009970736005798786, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.0303525619479595 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.0002371293902184336 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.9523670194681186, "moment": 15.96875, "term": 0.014851670744269062, "partial": 0.1855622402875672, "direct": 0.18068130554909695, "error": 0.004880934738470261, "absoluteError": 0.004880934738470261, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.014880734679189354 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000029063934920291706 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.9289804156620267, "moment": 31.984375, "term": -0.007254115718308139, "partial": 0.17830812456925907, "direct": 0.18068130554909695, "error": -0.00237318097983788, "absoluteError": 0.00237318097983788, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.007257659497359584 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000035437790514451092 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.9012905390247039, "moment": 63.9921875, "term": 0.003520236399245906, "partial": 0.181828360968505, "direct": 0.18068130554909695, "error": 0.001147055419408044, "absoluteError": 0.001147055419408044, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0035206661680652496 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.2976881934390254e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.8694964327911171, "moment": 127.99609375, "term": -0.0016981833942691406, "partial": 0.18013017757423586, "direct": 0.18068130554909695, "error": -0.0005511279748610931, "absoluteError": 0.0005511279748610931, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0016982352202951506 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.1826026009983844e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.8338262217465304, "moment": 255.998046875, "term": 0.0008142772071848772, "partial": 0.1809444547814207, "direct": 0.18068130554909695, "error": 0.00026314923232376164, "absoluteError": 0.00026314923232376164, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0008142834196743461 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -6.212489468951005e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.794535287505211, "moment": 511.9990234375, "term": -0.00038795594338350423, "partial": 0.1805564988380372, "direct": 0.18068130554909695, "error": -0.00012480671105974395, "absoluteError": 0.00012480671105974395, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0003879566833521538 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 7.399686495822025e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.7519042279899711, "moment": 1023.99951171875, "term": 0.00018357028062844136, "partial": 0.18074006911866566, "direct": 0.18068130554909695, "error": 0.00005876356956871498, "absoluteError": 0.00005876356956871498, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00018357036816161405 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -8.753317268448546e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.706236618261921, "moment": 2047.999755859375, "term": -0.0000862105144130805, "partial": 0.18065385860425257, "direct": 0.18068130554909695, "error": -0.000027446944844383703, "absoluteError": 0.000027446944844383703, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0000862105246901759 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.0277095400115955e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.6578565915050589, "moment": 4095.9998779296875, "term": 0.000040152378655969526, "partial": 0.18069401098290855, "direct": 0.18068130554909695, "error": 0.000012705433811599498, "absoluteError": 0.000012705433811599498, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000040152379852603694 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.1966341690004973e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 3.0925052683774528, "x": 0.19627069730967187, "z": -3.9951818248206896, "direct": { "potential": 0.18058696526242135, "ex": 0.00136544003118815, "ez": -0.034316406371442454, "terms": [ { "role": "real", "distance": 5.998393726597376, "potential": 0.16671129732046713, "ex": 0.0009093908053142765, "ez": -0.027777774789668197 }, { "role": "image", "distance": 4.499464615353774, "potential": -0.11112433205804578, "ex": -0.0010773155968579378, "ez": 0.02467372642463738 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.0015333648227318114, "ez": -0.031212358006411638 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18058696526242135, "error": 0.06941303473757865, "absoluteError": 0.06941303473757865, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -0.9987954562051724, "moment": 1.75, "term": -0.10924325302244073, "partial": 0.14075674697755927, "direct": 0.18058696526242135, "error": -0.03983021828486208, "absoluteError": 0.03983021828486208, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.12484943202564655 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015606179003205819 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 3.875, "term": 0.060328212685798, "partial": 0.20108495966335727, "direct": 0.18058696526242135, "error": 0.020497994400935915, "absoluteError": 0.020497994400935915, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.06227428406275923 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0019460713769612259 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.9927836148049279, "moment": 7.9375, "term": -0.030782109150445765, "partial": 0.1703028505129115, "direct": 0.18058696526242135, "error": -0.010284114749509854, "absoluteError": 0.010284114749509854, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.031024487962653998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00024237881220823436 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 15.96875, "term": 0.015407148669529743, "partial": 0.18570999918244124, "direct": 0.18058696526242135, "error": 0.005123033920019893, "absoluteError": 0.005123033920019893, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015437299645399664 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.00003015097586992122 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.9820078944232723, "moment": 31.984375, "term": -0.007668190612352136, "partial": 0.1780418085700891, "direct": 0.18058696526242135, "error": -0.00254515669233224, "absoluteError": 0.00254515669233224, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.007671936675181815 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000037460628296786205 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 63.9921875, "term": 0.003807568593219541, "partial": 0.18184937716330865, "direct": 0.18058696526242135, "error": 0.0012624119008873003, "absoluteError": 0.0012624119008873003, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.0038080334410517005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.648478321596314e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -0.966546082686236, "moment": 127.99609375, "term": -0.001887727707110637, "partial": 0.17996164945619803, "direct": 0.18058696526242135, "error": -0.0006253158062233255, "absoluteError": 0.0006253158062233255, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.0018877853177465547 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.761063591755843e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 255.998046875, "term": 0.0009346524891855369, "partial": 0.18089630194538356, "direct": 0.18058696526242135, "error": 0.00030933668296220795, "absoluteError": 0.00030933668296220795, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009346596200725309 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.13088699396157e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -0.9465097121190144, "moment": 511.9990234375, "term": -0.00046216206386475047, "partial": 0.1804341398815188, "direct": 0.18058696526242135, "error": -0.00015282538090255482, "absoluteError": 0.00015282538090255482, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.0004621629453706125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 8.815058619892358e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 1023.99951171875, "term": 0.00022822741402575585, "partial": 0.18066236729554455, "direct": 0.18058696526242135, "error": 0.00007540203312320082, "absoluteError": 0.00007540203312320082, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.00022822752285311926 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.0882736342102016e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.9220431656352109, "moment": 2047.999755859375, "term": -0.00011255408395008548, "partial": 0.18054981321159447, "direct": 0.18058696526242135, "error": -0.000037152050826883, "absoluteError": 0.000037152050826883, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.00011255409736757946 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.3417493983218606e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 4095.9998779296875, "term": 0.000055432273679328685, "partial": 0.1806052454852738, "direct": 0.18058696526242135, "error": 0.000018280222852440353, "absoluteError": 0.000018280222852440353, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.000055432275331339224 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.6520105401080615e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, { "radius": 4, "theta": 3.141592653589793, "x": 4.898587196589413e-16, "z": -4, "direct": { "potential": 0.18055555555555555, "ex": 3.40704635050854e-18, "ez": -0.03433641975308642, "terms": [ { "role": "real", "distance": 6, "potential": 0.16666666666666666, "ex": 2.267864442865469e-18, "ez": -0.027777777777777776 }, { "role": "image", "distance": 4.5, "potential": -0.1111111111111111, "ex": -2.6878393396924077e-18, "ez": 0.024691358024691357 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 3.827021247335479e-18, "ez": -0.03125 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.18055555555555555, "error": 0.06944444444444445, "absoluteError": 0.06944444444444445, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": -1, "moment": 1.75, "term": -0.109375, "partial": 0.140625, "direct": 0.18055555555555555, "error": -0.03993055555555555, "absoluteError": 0.03993055555555555, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": -0.125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": 0.015625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 1, "moment": 3.875, "term": 0.060546875, "partial": 0.201171875, "direct": 0.18055555555555555, "error": 0.020616319444444448, "absoluteError": 0.020616319444444448, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.0625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.001953125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -1, "moment": 7.9375, "term": -0.031005859375, "partial": 0.170166015625, "direct": 0.18055555555555555, "error": -0.010389539930555552, "absoluteError": 0.010389539930555552, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.03125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.000244140625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": 1, "moment": 15.96875, "term": 0.015594482421875, "partial": 0.185760498046875, "direct": 0.18055555555555555, "error": 0.0052049424913194475, "absoluteError": 0.0052049424913194475, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": 0.015625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": -0.000030517578125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -1, "moment": 31.984375, "term": -0.007808685302734375, "partial": 0.17795181274414062, "direct": 0.18055555555555555, "error": -0.0026037428114149275, "absoluteError": 0.0026037428114149275, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0078125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.000003814697265625 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": 1, "moment": 63.9921875, "term": 0.003905773162841797, "partial": 0.18185758590698242, "direct": 0.18055555555555555, "error": 0.0013020303514268694, "absoluteError": 0.0013020303514268694, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": 0.00390625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": -4.76837158203125e-7 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": -1, "moment": 127.99609375, "term": -0.0019530653953552246, "partial": 0.1799045205116272, "direct": 0.18055555555555555, "error": -0.0006510350439283552, "absoluteError": 0.0006510350439283552, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": -0.001953125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": 5.960464477539063e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 1, "moment": 255.998046875, "term": 0.0009765550494194031, "partial": 0.1808810755610466, "direct": 0.18055555555555555, "error": 0.00032552000549104787, "absoluteError": 0.00032552000549104787, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0009765625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -7.450580596923828e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": -1, "moment": 511.9990234375, "term": -0.0004882803186774254, "partial": 0.18039279524236917, "direct": 0.18055555555555555, "error": -0.00016276031318637751, "absoluteError": 0.00016276031318637751, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": -0.00048828125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": 9.313225746154785e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 1, "moment": 1023.99951171875, "term": 0.00024414050858467817, "partial": 0.18063693575095385, "direct": 0.18055555555555555, "error": 0.00008138019539830066, "absoluteError": 0.00008138019539830066, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000244140625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.1641532182693481e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -1, "moment": 2047.999755859375, "term": -0.00012207029794808477, "partial": 0.18051486545300577, "direct": 0.18055555555555555, "error": -0.00004069010254978411, "absoluteError": 0.00004069010254978411, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.0001220703125 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.4551915228366852e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": 1, "moment": 4095.9998779296875, "term": 0.000061035154431010596, "partial": 0.18057590060743678, "direct": 0.18055555555555555, "error": 0.000020345051881226484, "absoluteError": 0.000020345051881226484, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": 0.00006103515625 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": -1.8189894035458565e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] } ], "probe": { "radius": 4, "theta": 0.7853981633974483, "x": 2.82842712474619, "z": 2.8284271247461903, "direct": { "potential": 0.32781939740586513, "ex": 0.10381817136000465, "ez": 0.03077960774115593, "terms": [ { "role": "real", "distance": 2.9472515164158013, "potential": 0.3392991722729235, "ex": 0.11048247484539299, "ez": 0.03235956767994346 }, { "role": "image", "distance": 3.6635464887529148, "potential": -0.13647977486705837, "ex": -0.02876139039746795, "ez": -0.023677046850867144 }, { "role": "central-image", "distance": 4, "potential": 0.125, "ex": 0.022097086912079608, "ez": 0.02209708691207961 } ] }, "orders": [ { "order": 0, "P": 1, "moment": 1, "term": 0.25, "partial": 0.25, "direct": 0.32781939740586513, "error": -0.07781939740586513, "absoluteError": 0.07781939740586513, "tailBound": 0.26785714285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1, "contribution": 0.25 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.5, "contribution": -0.125 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0.5, "contribution": 0.125 } ], "tailTerms": [ 0.25, 0.017857142857142856, 0 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 1.75, "term": 0.07733980419227864, "partial": 0.32733980419227865, "direct": 0.32781939740586513, "error": -0.0004795932135864822, "absoluteError": 0.0004795932135864822, "tailBound": 0.12723214285714285, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2, "contribution": 0.08838834764831845 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.25, "contribution": -0.011048543456039806 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.125, 0.002232142857142857, 0 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 3.875, "term": 0.015136718750000007, "partial": 0.34247652294227865, "direct": 0.32781939740586513, "error": 0.014657125536413518, "absoluteError": 0.014657125536413518, "tailBound": 0.06277901785714286, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4, "contribution": 0.015625000000000007 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.125, "contribution": -0.0004882812500000002 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0625, 0.00027901785714285713, 0 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 7.9375, "term": -0.005481113355144743, "partial": 0.3369954095871339, "direct": 0.32781939740586513, "error": 0.009176012181268789, "absoluteError": 0.009176012181268789, "tailBound": 0.031284877232142856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 8, "contribution": -0.005524271728019899 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0625, "contribution": 0.00004315837287515546 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.03125, 0.00003487723214285714, 0 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 15.96875, "term": -0.006335258483886717, "partial": 0.3306601511032472, "direct": 0.32781939740586513, "error": 0.00284075369738207, "absoluteError": 0.00284075369738207, "tailBound": 0.015629359654017856, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 16, "contribution": -0.006347656249999998 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.03125, "contribution": 0.000012397766113281247 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.015625, 0.000004359654017857143, 0 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 31.984375, "term": -0.002933336362661203, "partial": 0.32772681474058596, "direct": 0.32781939740586513, "error": -0.0000925826652791728, "absoluteError": 0.0000925826652791728, "tailBound": 0.007813044956752233, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 32, "contribution": -0.0029347693555105735 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.015625, "contribution": 0.0000014329928493703972 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0078125, 5.449567522321428e-7, 0 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 63.9921875, "term": -0.0005797632038593298, "partial": 0.32714705153672663, "direct": 0.32781939740586513, "error": -0.000672345869138502, "absoluteError": 0.000672345869138502, "tailBound": 0.003906318119594029, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 64, "contribution": -0.0005798339843750005 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0078125, "contribution": 7.078051567077643e-8 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00390625, 6.811959402901785e-8, 0 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 127.99609375, "term": 0.000248153070770302, "partial": 0.32739520460749694, "direct": 0.32781939740586513, "error": -0.0004241927983681948, "absoluteError": 0.0004241927983681948, "tailBound": 0.0019531335149492535, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 128, "contribution": 0.0002481606440321438 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00390625, "contribution": -7.573261841801263e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.001953125, 8.514949253627232e-9, 0 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 255.998046875, "term": 0.0002913452808570582, "partial": 0.327686549888354, "direct": 0.32781939740586513, "error": -0.00013284751751113655, "absoluteError": 0.00013284751751113655, "tailBound": 0.0009765635643686568, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 256, "contribution": 0.0002913475036621093 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.001953125, "contribution": -2.222805051133036e-9 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0009765625, 1.064368656703404e-9, 0 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 511.9990234375, "term": 0.0001394215089481058, "partial": 0.32782597139730213, "direct": 0.32781939740586513, "error": 0.0000065739914369977726, "absoluteError": 0.0000065739914369977726, "tailBound": 0.0004882813830460821, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 512, "contribution": 0.0001394217748740375 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0009765625, "contribution": -2.659259316902876e-10 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00048828125, 1.330460820879255e-10, 0 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 1023.99951171875, "term": 0.000028103576610760727, "partial": 0.3278540749739129, "direct": 0.32781939740586513, "error": 0.000034677568047758456, "absoluteError": 0.000034677568047758456, "tailBound": 0.00024414064163076025, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 1024, "contribution": 0.000028103590011596724 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.00048828125, "contribution": -1.340083599643551e-11 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.000244140625, 1.6630760260990687e-11, 0 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 2047.999755859375, "term": -0.000012717810022080973, "partial": 0.3278413571638908, "direct": 0.32781939740586513, "error": 0.000021959758025658083, "absoluteError": 0.000021959758025658083, "tailBound": 0.00012207031457884504, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 2048, "contribution": -0.000012717811538162251 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.000244140625, "contribution": 1.5160812781050505e-12 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.0001220703125, 2.078845032623836e-12, 0 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 4095.9998779296875, "term": -0.000015058554260177765, "partial": 0.32782629860963064, "direct": 0.32781939740586513, "error": 0.000006901203765508068, "absoluteError": 0.000006901203765508068, "tailBound": 0.00006103515650985563, "sourceTerms": [ { "role": "real", "charge": 1, "position": 2, "moment": 4096, "contribution": -0.000015058554708957667 }, { "role": "image", "charge": -0.5, "position": 0.5, "moment": -0.0001220703125, "contribution": 4.4877990212910375e-13 }, { "role": "central-image", "charge": 0.5, "position": 0, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0.00006103515625, 2.598556290779795e-13, 0 ] } ] }, "selectedOrder": 4, "quadratureStatus": { "converged": true, "estimatedError": 3.7418308072429825e-11, "total": 9.872013146186576e-15, "exactFinite": 0, "infiniteOrFullCharge": 0, "remainingCharge": 0 }, "units": "k=1；epsilon0=1/(4pi)。平面横坐标rho/d，球面横坐标theta；长度、势、场与电荷各自标明。", "scope": "数学像只在指定物理域外辅助构造。边界采样不是唯一性证明；Simpson误差估计不是严格上界；多极绝对尾界来自完整源展开。" }, "zero": { "version": 164, "parameters": { "geometry": "plane", "q": "0", "a": "1", "gap": "1", "Q": "0", "farRatio": "2", "order": "4", "angle": "45" }, "model": { "geometry": "plane", "q": 0, "a": 1, "gap": 1, "d": 1, "Q": 0, "qp": 0, "b": -1, "q0": 0, "sources": [ { "role": "real", "q": 0, "z": 1 }, { "role": "image", "q": 0, "z": -1 } ], "surfacePotential": 0, "surfaceCharge": 0, "physicalDomain": "z>0，平面上V=0，远处V趋于0" }, "boundary": [ { "coordinate": 0, "angle": null, "x": 0, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.125, "angle": null, "x": 0.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.25, "angle": null, "x": 0.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.375, "angle": null, "x": 0.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.5, "angle": null, "x": 0.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.625, "angle": null, "x": 0.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.75, "angle": null, "x": 0.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 0.875, "angle": null, "x": 0.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1, "angle": null, "x": 1, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.125, "angle": null, "x": 1.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.25, "angle": null, "x": 1.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.375, "angle": null, "x": 1.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.5, "angle": null, "x": 1.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.625, "angle": null, "x": 1.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.75, "angle": null, "x": 1.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 1.875, "angle": null, "x": 1.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2, "angle": null, "x": 2, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.125, "angle": null, "x": 2.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.25, "angle": null, "x": 2.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.375, "angle": null, "x": 2.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.5, "angle": null, "x": 2.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.625, "angle": null, "x": 2.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.75, "angle": null, "x": 2.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 2.875, "angle": null, "x": 2.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3, "angle": null, "x": 3, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.125, "angle": null, "x": 3.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.25, "angle": null, "x": 3.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.375, "angle": null, "x": 3.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.5, "angle": null, "x": 3.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.625, "angle": null, "x": 3.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.75, "angle": null, "x": 3.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 3.875, "angle": null, "x": 3.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4, "angle": null, "x": 4, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.125, "angle": null, "x": 4.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.25, "angle": null, "x": 4.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.375, "angle": null, "x": 4.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.5, "angle": null, "x": 4.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.625, "angle": null, "x": 4.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.75, "angle": null, "x": 4.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 4.875, "angle": null, "x": 4.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5, "angle": null, "x": 5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.125, "angle": null, "x": 5.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.25, "angle": null, "x": 5.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.375, "angle": null, "x": 5.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.5, "angle": null, "x": 5.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.625, "angle": null, "x": 5.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.75, "angle": null, "x": 5.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 5.875, "angle": null, "x": 5.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6, "angle": null, "x": 6, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.125, "angle": null, "x": 6.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.25, "angle": null, "x": 6.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.375, "angle": null, "x": 6.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.5, "angle": null, "x": 6.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.625, "angle": null, "x": 6.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.75, "angle": null, "x": 6.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 6.875, "angle": null, "x": 6.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7, "angle": null, "x": 7, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.125, "angle": null, "x": 7.125, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.25, "angle": null, "x": 7.25, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.375, "angle": null, "x": 7.375, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.5, "angle": null, "x": 7.5, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.625, "angle": null, "x": 7.625, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.75, "angle": null, "x": 7.75, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 7.875, "angle": null, "x": 7.875, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 }, { "coordinate": 8, "angle": null, "x": 8, "z": 0, "normal": [ 0, 1 ], "tangent": [ 1, 0 ], "potential": 0, "ex": 0, "ez": 0, "terms": [], "normalField": 0, "tangentialField": 0, "expectedPotential": 0, "potentialResidual": 0, "expectedNormal": 0, "normalResidual": 0, "density": 0, "expectedDensity": 0, "capCharge": 0 } ], "quadrature": [ { "index": 0, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0, "b": 0.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 1, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.125, "b": 0.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 2, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.25, "b": 0.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 3, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.375, "b": 0.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 4, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.5, "b": 0.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 5, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.625, "b": 0.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 6, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.75, "b": 0.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 7, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 0.875, "b": 1, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 8, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1, "b": 1.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 9, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.125, "b": 1.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 10, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.25, "b": 1.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 11, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.375, "b": 1.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 12, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.5, "b": 1.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 13, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.625, "b": 1.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 14, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.75, "b": 1.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 15, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 1.875, "b": 2, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 16, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2, "b": 2.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 17, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.125, "b": 2.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 18, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.25, "b": 2.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 19, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.375, "b": 2.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 20, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.5, "b": 2.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 21, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.625, "b": 2.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 22, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.75, "b": 2.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 23, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 2.875, "b": 3, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 24, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3, "b": 3.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 25, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.125, "b": 3.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 26, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.25, "b": 3.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 27, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.375, "b": 3.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 28, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.5, "b": 3.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 29, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.625, "b": 3.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 30, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.75, "b": 3.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 31, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 3.875, "b": 4, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 32, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4, "b": 4.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 33, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.125, "b": 4.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 34, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.25, "b": 4.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 35, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.375, "b": 4.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 36, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.5, "b": 4.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 37, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.625, "b": 4.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 38, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.75, "b": 4.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 39, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 4.875, "b": 5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 40, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5, "b": 5.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 41, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.125, "b": 5.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 42, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.25, "b": 5.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 43, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.375, "b": 5.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 44, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.5, "b": 5.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 45, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.625, "b": 5.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 46, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.75, "b": 5.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 47, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 5.875, "b": 6, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 48, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6, "b": 6.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 49, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.125, "b": 6.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 50, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.25, "b": 6.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 51, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.375, "b": 6.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 52, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.5, "b": 6.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 53, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.625, "b": 6.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 54, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.75, "b": 6.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 55, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 6.875, "b": 7, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 56, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7, "b": 7.125, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 57, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.125, "b": 7.25, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 58, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.25, "b": 7.375, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 59, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.375, "b": 7.5, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 60, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.5, "b": 7.625, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 61, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.625, "b": 7.75, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 62, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.75, "b": 7.875, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 }, { "index": 63, "value": 0, "estimatedError": 0, "evaluations": 5, "converged": true, "leaves": [ { "a": 7.875, "b": 8, "fa": 0, "fm": 0, "fb": 0, "fl": 0, "fr": 0, "whole": 0, "left": 0, "right": 0, "delta": 0, "corrected": 0, "estimatedError": 0, "tolerance": 1.5625e-12, "accepted": true, "depthUsed": 0 } ], "scope": "自适应Simpson差分为误差估计，不是严格误差上界；闭式对照另列。", "cumulative": 0, "estimatedCumulativeError": 0, "exactCap": 0, "actualError": 0 } ], "force": { "imageField": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "force": 0, "expectedForce": 0, "forceResidual": 0, "energy": 0, "groundEnergy": 0, "energyScope": "U(infty)=0的相互作用能；去除点源自能和与间距无关的导体自能。孤立球保持Q固定。" }, "forceScan": [ { "gap": 0.05, "d": 0.05, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.13229166666666667, "d": 0.13229166666666667, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.21458333333333335, "d": 0.21458333333333335, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.29687500000000006, "d": 0.29687500000000006, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.37916666666666665, "d": 0.37916666666666665, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.4614583333333333, "d": 0.4614583333333333, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.5437500000000001, "d": 0.5437500000000001, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.6260416666666667, "d": 0.6260416666666667, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.7083333333333334, "d": 0.7083333333333334, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.7906250000000001, "d": 0.7906250000000001, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.8729166666666667, "d": 0.8729166666666667, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 0.9552083333333334, "d": 0.9552083333333334, "force": 0, "energy": 0, "step": 0.0001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.0375, "d": 1.0375, "force": 0, "energy": 0, "step": 0.00010375000000000001, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.1197916666666667, "d": 1.1197916666666667, "force": 0, "energy": 0, "step": 0.00011197916666666668, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.2020833333333334, "d": 1.2020833333333334, "force": 0, "energy": 0, "step": 0.00012020833333333335, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.284375, "d": 1.284375, "force": 0, "energy": 0, "step": 0.0001284375, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.3666666666666667, "d": 1.3666666666666667, "force": 0, "energy": 0, "step": 0.00013666666666666666, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.4489583333333336, "d": 1.4489583333333336, "force": 0, "energy": 0, "step": 0.00014489583333333336, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.5312500000000002, "d": 1.5312500000000002, "force": 0, "energy": 0, "step": 0.00015312500000000002, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.6135416666666667, "d": 1.6135416666666667, "force": 0, "energy": 0, "step": 0.00016135416666666666, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.6958333333333333, "d": 1.6958333333333333, "force": 0, "energy": 0, "step": 0.00016958333333333333, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.7781250000000002, "d": 1.7781250000000002, "force": 0, "energy": 0, "step": 0.00017781250000000002, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.8604166666666668, "d": 1.8604166666666668, "force": 0, "energy": 0, "step": 0.00018604166666666668, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 1.9427083333333335, "d": 1.9427083333333335, "force": 0, "energy": 0, "step": 0.00019427083333333335, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.0250000000000004, "d": 2.0250000000000004, "force": 0, "energy": 0, "step": 0.00020250000000000004, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.1072916666666663, "d": 2.1072916666666663, "force": 0, "energy": 0, "step": 0.00021072916666666665, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.189583333333333, "d": 2.189583333333333, "force": 0, "energy": 0, "step": 0.00021895833333333332, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.271875, "d": 2.271875, "force": 0, "energy": 0, "step": 0.0002271875, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.3541666666666665, "d": 2.3541666666666665, "force": 0, "energy": 0, "step": 0.00023541666666666665, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.4364583333333334, "d": 2.4364583333333334, "force": 0, "energy": 0, "step": 0.00024364583333333334, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.51875, "d": 2.51875, "force": 0, "energy": 0, "step": 0.000251875, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.6010416666666667, "d": 2.6010416666666667, "force": 0, "energy": 0, "step": 0.0002601041666666667, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.683333333333333, "d": 2.683333333333333, "force": 0, "energy": 0, "step": 0.0002683333333333333, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.7656249999999996, "d": 2.7656249999999996, "force": 0, "energy": 0, "step": 0.00027656249999999995, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.847916666666667, "d": 2.847916666666667, "force": 0, "energy": 0, "step": 0.0002847916666666667, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 2.9302083333333333, "d": 2.9302083333333333, "force": 0, "energy": 0, "step": 0.00029302083333333334, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.0125, "d": 3.0125, "force": 0, "energy": 0, "step": 0.00030125000000000003, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.0947916666666666, "d": 3.0947916666666666, "force": 0, "energy": 0, "step": 0.00030947916666666667, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.177083333333333, "d": 3.177083333333333, "force": 0, "energy": 0, "step": 0.0003177083333333333, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.259375, "d": 3.259375, "force": 0, "energy": 0, "step": 0.0003259375, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.3416666666666663, "d": 3.3416666666666663, "force": 0, "energy": 0, "step": 0.00033416666666666664, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.4239583333333337, "d": 3.4239583333333337, "force": 0, "energy": 0, "step": 0.0003423958333333334, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.50625, "d": 3.50625, "force": 0, "energy": 0, "step": 0.000350625, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.5885416666666665, "d": 3.5885416666666665, "force": 0, "energy": 0, "step": 0.00035885416666666666, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.6708333333333334, "d": 3.6708333333333334, "force": 0, "energy": 0, "step": 0.00036708333333333336, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.753125, "d": 3.753125, "force": 0, "energy": 0, "step": 0.0003753125, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.8354166666666667, "d": 3.8354166666666667, "force": 0, "energy": 0, "step": 0.0003835416666666667, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 3.917708333333333, "d": 3.917708333333333, "force": 0, "energy": 0, "step": 0.0003917708333333333, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 }, { "gap": 4.000000000000001, "d": 4.000000000000001, "force": 0, "energy": 0, "step": 0.00040000000000000013, "energySamples": [ 0, 0, 0, 0 ], "negativeNumericalDerivative": 0, "derivativeResidual": 0 } ], "far": [ { "radius": 2, "theta": 0, "x": 0, "z": 2, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.02454369260617026, "x": 0.049082457045824576, "z": 1.9993976373924085, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9996988186962042, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9990965921538795, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9981935924352584, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.9969902274629747, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.9954870408153056, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.9936847114533296, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.9915840533801435, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.989186015232318, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.9864916798038076, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.9835022635025652, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.9802191157401482, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.9766437182546378, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.04908738521234052, "x": 0.09813534865483603, "z": 1.9975909124103448, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9987954562051724, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9963885450041476, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9927836148049279, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.9879871773055785, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.9820078944232723, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.9748565609092353, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.966546082686236, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.9570914509542716, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.9465097121190144, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.9348199336063765, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.9220431656352109, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.9082023990286618, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.07363107781851078, "x": 0.14712912719933485, "z": 1.9945809133573804, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9972904566786902, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9918823824735858, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9837977525285893, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.9730694054675457, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.9597408951429511, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.9438662940626479, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.9255099494262835, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.9047461929277014, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.8816590056981872, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.8563416399775562, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.8288961993043849, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.799433179212283, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.09817477042468103, "x": 0.1960342806591212, "z": 1.9903694533443939, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9951847266721969, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9855889603024228, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9712819823347044, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.9523670194681196, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.9289804156620282, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.9012905390247057, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.8694964327911193, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.8338262217465331, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.794535287505214, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.7519042279899746, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.706236618261925, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.6578565915050633, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.1227184630308513, "x": 0.2448213503984324, "z": 1.98495906919742, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.99247953459871, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9775234398959078, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9553003247462278, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.9260604580638014, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.8901326345759916, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.847920060254522, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.7998953115231695, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.7465944344801783, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.6886102616168343, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.6265850337096455, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.5612024235752401, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.49317906608360124, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.14726215563702155, "x": 0.2934609489107235, "z": 1.978353019929562, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.989176509964781, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9677052517991567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9359344994389449, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.8943787991442697, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.843709698872081, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.7847436621949312, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.7184273953711477, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.645820864860035, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.568078325870053, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.48642771959044034, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.4021488268732769, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.31655058872689606, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.1718058482431918, "x": 0.34192377752060243, "z": 1.9705552847778824, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9852776423889412, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9561580488872656, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.9132834853387978, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.857597612052441, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.7903223677075085, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.7129280817901488, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.6270975841146903, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.5346852332292251, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.4376719143732337, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.3381171587673745, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.23810960674005005, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.13971707571797934, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.19634954084936207, "x": 0.3901806440322565, "z": 1.9615705608064609, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9807852804032304, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.942909649383465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.8874629878403022, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.8160363748711704, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.73067124627282, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.6337942933975116, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.5281402859064391, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.4166654027865321, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.3024539676839803, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.1886216965497253, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.07821867068308724, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.02586475685811218, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.22089323345553233, "x": 0.4382024803137396, "z": 1.9514042600770571, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9757021300385286, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9279919698425827, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.8586048160310776, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.7700554813780704, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.665536739346308, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.5487907248832723, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.42395874195773026, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2954158299332848, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.16759706567325056, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.04482289959467933, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.06886917144934904, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.16987960274293312, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.2454369260617026, "x": 0.48596035980652774, "z": 1.940062506389088, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.970031253194544, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.9114409482612662, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.8268561732948031, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.7200528662914553, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.5957678730232003, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.45946394830698273, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.3170599751888516, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.17464045473815154, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.038159342705236465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.08684647471599923, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.195519374167494, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.28390554664305606, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.2699806186678728, "x": 0.5334255149497967, "z": 1.9275521315908797, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9637760657954398, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.893296457500204, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.7923788651339567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.6664602810768026, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.5222701497620574, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.3674274611727945, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.20998720147912137, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.057964669428070936, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.08113258598579343, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.20073612709074046, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.29558475559846714, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.3620071164814327, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.2945243112740431, "x": 0.5805693545089247, "z": 1.9138806714644176, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9569403357322088, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.8736022092269089, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.7553484285018567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.6097392559192036, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.44599261608168855, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.2743292136407085, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.10525161013461, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.05118897855080262, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.18608382805779736, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.29226504900660777, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.36476783781133404, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.4011240646712986, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.3190680038802134, "x": 0.627363480797783, "z": 1.8990563611860733, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9495281805930367, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.8524056486104838, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.7159531873585423, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.5503767864612359, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.3679143337536894, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.1818185625115767, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.0052654332362038125, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.149716847371117, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.27320552028808964, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.35814588451952983, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.4008551463207342, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.40122751657772193, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.3436116964863836, "x": 0.6737797067844401, "z": 1.8830881303660416, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9415440651830208, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.8297578400220529, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.6743932395643967, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.4888807865284257, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.28903045399660643, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.09151334369201991, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.08772181866886553, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.2349378465206389, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.3398554607757394, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.3965348331469579, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.40380916243523773, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.36523430030035225, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.36815538909255385, "x": 0.7197900730699762, "z": 1.865985597669478, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.932992798834739, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.8057133440162196, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.6308793805971568, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.4257753502911539, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.21033809985964763, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.0049677509883664, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.17168217321096227, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.3046809657913071, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.38433890152693917, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.4070994429175309, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.37571352785600937, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.29869004116162934, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.39269908169872414, "x": 0.7653668647301796, "z": 1.8477590650225735, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9238795325112867, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.7803300858899105, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.5856319699199135, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.361595869120796, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.13282226460246935, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.07635830943262704, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2448614310714851, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.3573536001246419, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.40596522898250775, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.3910013952273962, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.3205772382807112, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.20925032336159397, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.4172427743048944, "x": 0.8104826280099797, "z": 1.8284195114070614, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9142097557035307, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.753669216135264, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.5388797461381315, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.29688404977196514, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.05744193339524042, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.15112775233323536, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.3058233789141604, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.39198831019381186, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.4050583447558261, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.3507962725948798, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.2440132200478088, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.1060053438406769, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.44178646691106466, "x": 0.8551101868605642, "z": 1.8079785862468867, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.9039892931234433, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.7257949631227341, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.4908585973608312, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.23218288144856924, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.014883367911763479, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.21815214414320158, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.3534847751479016, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.408266471404419, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.38292073555131134, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.2902570413373668, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.1528151867784473, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.001294310266699794, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.4663301595172349, "x": 0.8992226593092131, "z": 1.7864486023910306, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8932243011955153, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.696774478369325, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.4418102934235066, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.16803159978035132, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.08328639981218137, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.27641429964772374, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.387140172355661, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.406518131402798, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.3417533862810464, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.2141322980574502, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.05446343230912792, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.10304582246135513, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.4908738521234052, "x": 0.9427934736519953, "z": 1.76384252869671, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.881921264348355, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.6666776747647019, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.3919811868366088, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.1049606957439676, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.1469642243739618, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.3250871831720492, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.40647593552017647, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.387698285314084, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.2845357410362949, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.12785397214267258, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.04340523075622007, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.19056946677417716, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.5154175447295755, "x": 0.9857963844595681, "z": 1.740173982217423, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8700869911087115, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.6355770581449165, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.34162088949258723, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.04348701710866465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.20518923343100184, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.3635487325843401, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.41157312807685875, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.3533406551691918, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.2148717558620398, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.03721193745899827, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.13352613472571503, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.2567880355333399, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.5399612373357456, "x": 1.0282054883864433, "z": 1.7154572200005442, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8577286100002721, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.6035475526194982, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.2909809322954658, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.01589099092447066, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.2573190294392843, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.39139231221683124, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.40289925919389297, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.3054908922324923, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.13680962873425248, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.0519852909003641, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.2094973622486851, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.29675625587188526, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.5645049299419159, "x": 1.0699952397741943, "z": 1.6897071304994142, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8448535652497071, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.5706663200727118, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.2403134149691303, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.0726978605800302, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.30280501603002064, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.40843259469214716, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.38128920615541645, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.2466218769161853, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.05464396382636662, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.1342440086742112, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.2661987958583532, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.3079994120620147, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.5890486225480862, "x": 1.1111404660392044, "z": 1.6629392246050905, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8314696123025452, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.5370125742738172, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.18986965335337413, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.12648544834730274, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.34119957474134105, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.41470676961187064, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.3479159359830647, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.17953444235033056, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.027290124874756277, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.20469372625897062, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.3001116026119945, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.2906369668492505, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.6135923151542565, "x": 1.1516163828356907, "z": 1.6351696263031674, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8175848131515837, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.5026673900441652, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.13989883151003246, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.176837012497678, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.372161725686183, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.41047107700700125, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.3042519414669403, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.10724737020997693, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.10482117471727068, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.2593530142255228, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.30951755018369537, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.247285363125243, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.6381360077604268, "x": 1.1913986089848667, "z": 1.6064150629612899, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.8032075314806449, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.4677135079408469, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.09064666593510447, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.22337098258593474, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.39546119269714214, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.3961927632132703, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2520225701600702, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.032880881792784034, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.17413418211331658, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.295337978080618, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.29456633033871027, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.18275281893604664, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.662679700366597, "x": 1.2304631811612536, "z": 1.5766928552532127, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.7883464276266063, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.43223513492744814, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": 0.042354089106859005, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.2657443852207364, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.41098081743656056, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.3725376542728738, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.19315265301600595, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.04046194000419634, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.23194307374440026, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.31100209183457495, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.257208582934724, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.10355622854866468, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.6872233929727672, "x": 1.268786568327291, "z": 1.546020906725474, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.773010453362737, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.3963177415120963, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.004744040505222073, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.3036558937120698, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.4187172917121639, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.34035363498487675, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.1297080256585875, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.10981131863839796, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.27563491752824176, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.3060002910915447, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.20100188394358875, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.017304801581246476, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.7117670855789375, "x": 1.3063456859075535, "z": 1.5144176930129691, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.7572088465064846, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.3600478558415213, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.05042019498950401, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.3368484728362511, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.4187802024232522, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.30065040833367285, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.06383367444415125, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.17244018917797707, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.30337938001256465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.2812747754868371, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.1308059012842981, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.06799438840979548, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.7363107781851077, "x": 1.3431179096940367, "z": 1.4819022507099184, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.7409511253549592, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.32351285524717077, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.0944553932996608, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.3651115938675287, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.41138940880159025, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.25457598836325046, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.0023096724214604386, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2259627792801237, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.3141986673065921, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.2389646252869996, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.05239059958991612, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.14464806520842494, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.760854470791278, "x": 1.3790810894741339, "z": 1.448494165902934, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.724247082951467, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.28680075574556363, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.13664037073931024, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.38828299917153947, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.39687079652589363, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.20339044795997385, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.06660865384253145, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.26841874804893484, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.3079951321207208, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.1822458211591577, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.02801274816002723, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.20594429241490597, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.7853981633974483, "x": 1.414213562373095, "z": 1.4142135623730951, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.8099418560036186, "x": 1.4484941659029338, "z": 1.3790810894741339, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.6895405447370669, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.21319924425443648, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.21467782479015274, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.4189502956261758, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.3482475272827691, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.09111453469899833, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.1818188581612946, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.31479673254914337, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.24839511247190998, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.04211209291719205, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.17037756540238086, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.2637770437529475, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.8344855486097889, "x": 1.4819022507099182, "z": 1.3431179096940367, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.6715589548470183, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.17648714475282934, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.2501700991077714, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.4263723065735044, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.31526537375457003, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.032841766835214704, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.22926783836885697, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.3174244270714842, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.1988593303698685, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.03194503264127886, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.22173688464494895, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.25612671854328634, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.859029241215959, "x": 1.5144176930129691, "z": 1.3063456859075537, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.6531728429537769, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.1399521441584789, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.28309366217340043, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.4285550193708523, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.27738197091750655, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.024968836840475944, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.2680440550544992, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.3064255755335946, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.13979758367660405, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.1022902461608148, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.25464120595303297, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.22502298850150118, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.8835729338221293, "x": 1.5460209067254738, "z": 1.268786568327291, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.6343932841636455, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.1036822584879038, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.3133033086563548, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.42558734497215, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.2353389093305796, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.08094417757697758, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.29708417291346734, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2825517273594225, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.07450646968982182, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.16449038702734647, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.26694983913912673, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.1738069167785851, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.9081166264282996, "x": 1.5766928552532125, "z": 1.2304631811612536, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.6152315905806268, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.06776486507255208, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.3406692508469716, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.41760699766027665, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.18992963065706053, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.13377953197641765, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.315649701303878, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.24706353664466815, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.00653604046481525, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.21471694369479283, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.25813399884738875, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.10756616710958851, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.9326603190344698, "x": 1.6064150629612897, "z": 1.191398608984867, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.5956993044924335, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.03228649205915346, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.36507780155472536, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.404798905869974, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.14198692679109454, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.18226631340811106, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.32334406720450265, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.20167166816567203, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.06049401175333191, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.24997335873119697, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.22928617792370226, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.0326468532075852, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.9572040116406401, "x": 1.6351696263031674, "z": 1.1516163828356907, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.5758081914178453, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.0026673900441649967, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.3864319693404579, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.38739317086781555, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.09236991448067182, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.22531749449252905, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.32011929340929945, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.14846090114897578, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.12307881072198401, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.26826740710107955, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.18300853393308517, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.04393764837807734, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 0.9817477042468103, "x": 1.6629392246050905, "z": 1.1111404660392046, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.5555702330196023, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.03701257427381721, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.40465196286966815, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.3656625935754838, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.04195068387897609, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.26199015074661675, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.3062721687946655, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.08980055594296896, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.17800428687982192, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.2687188783152626, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.1231903216265172, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.11514729337969985, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.0062913968529805, "x": 1.689707130499414, "z": 1.0699952397741945, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.5349976198870973, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.07066632007271151, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4196756016665322, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.33991979397395683, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.008399176021782927, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.2915046501428529, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.2824301094330167, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.02824487424584693, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.22250609855999773, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.2515968297871913, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.054692438332094445, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.17454813899906496, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.030835089459151, "x": 1.7154572200005442, "z": 1.0282054883864433, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.5141027441932217, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.10354755261949833, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.43145863105577464, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.31051395144071914, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.057821970661901645, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.31326008815249584, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.24952721408270032, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.03357265430067313, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.2544038006289613, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.21828502599880922, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.017036223432891393, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.21688148149919026, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.055378782065321, "x": 1.7401739822174227, "z": 0.9857963844595682, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.4928981922297841, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.13557705814491622, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.43997493959895867, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.27782719801209943, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.1054870091047928, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.3268456511777946, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.2087713061741948, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.09304682090048647, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.27220386847126543, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.17117857109569942, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.08638117378546815, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.23851984527401726, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.0799224746714913, "x": 1.7638425286967099, "z": 0.9427934736519956, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.4713967368259978, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.16667767476470147, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4452166778603739, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.24227069989328437, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.15060323104345835, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.3320476813048568, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.1616030183471398, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.14770584206036177, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.27516678111697346, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.11351891527843869, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.14799149457579938, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.23777086194555097, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.1044661672776617, "x": 1.7864486023910306, "z": 0.8992226593092132, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.4496113296546066, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.19677447836932505, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4471942778726108, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.20428046552741946, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.19243116118724746, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.32885231006154303, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.10964820712919805, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.19531000342584556, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.26333518808121864, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.049178116627020006, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.19718364311581157, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.21500394017902727, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.1290098598838318, "x": 1.8079785862468867, "z": 0.8551101868605644, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.4275550934302822, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.22579496312273395, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.44593637321023416, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.16431292115370957, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.2302940111279689, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.31744362627588885, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.05466517771689212, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.23393996955491125, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.23752213954636708, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.017593751524955882, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.23028996864377696, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.17259055513292185, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.1535535524900022, "x": 1.8284195114070614, "z": 0.8104826280099797, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.40524131400498986, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.25366921613526383, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.44148962011877674, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.12284029700742172, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.26358776202532996, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.29819744107728013, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.0015116535765581204, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.26207135684577904, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.1992603520643172, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.08244202005188361, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.24492642580720397, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.1146655693240326, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.1780972450961724, "x": 1.8477590650225735, "z": 0.7653668647301797, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.38268343236508984, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.2803300858899106, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4339184206826456, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.08034586912079625, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.2917900771974118, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.271670809432627, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.057029933061775964, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.27863272800035815, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.15071541375033626, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.14118450069614602, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.24016022666268785, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.046732775754172264, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.2026409377023426, "x": 1.8659855976694777, "z": 0.7197900730699766, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.3598950365349883, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.3057133440162192, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4233045495465766, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.03731910305569652, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.314467911713432, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.2385875602675901, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.11007760670424534, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.28304483577134465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.09456760911694338, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.19007496723168943, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.21656580672458006, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.024848548692585737, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.227184630308513, "x": 1.8830881303660416, "z": 0.6737797067844401, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.33688985339222005, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.3297578400220527, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.4097466862280876, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.005749253176714847, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.33128370609014285, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.19982017417529344, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.15893945388078068, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.27523969487113625, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": -0.033868577405812755, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.22603676323801275, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.1761659187869777, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.09344905440854791, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.2517283229146832, "x": 1.8990563611860733, "z": 0.6273634807977831, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.3136817403988916, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.3524056486104836, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.39335985557015557, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.0483720792858324, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.342000072886892, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.15636842707460444, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.20205021039925203, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.2556588642765281, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.028119765087189483, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.2468522258679747, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.12226328196289488, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.15277366882239105, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.2762720155208536, "x": 1.9138806714644179, "z": 0.5805693545089247, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.29028467725446233, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.37360220922690895, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.3742747793812871, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.09007074823011321, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.3464829080491131, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.1093352882264836, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.23804268331073558, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.2252311462562539, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.08809576736764968, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.251296449286453, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": 0.05917636441145646, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.19743059414439376, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.3008157081270237, "x": 1.9275521315908797, "z": 0.5334255149497968, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.2667127574748984, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.39329645750020403, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.35263714279158, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.1303798998266324, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.3447028829169759, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.05990062023375146, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2657894175344069, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.18533072106374898, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.14288935445110573, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.23920743506235292, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.008100034328865665, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.22341421524918528, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.325359400733194, "x": 1.940062506389088, "z": 0.48596035980652796, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.24298017990326398, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.4114409482612662, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.3286067793156626, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.1688520760737339, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.336735297531114, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": 0.009293275757351968, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2844366745123325, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.13771750568285676, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.18962542032062463, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.2114886707276722, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.07428323115700869, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.22845920783515714, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.3499030933393643, "x": 1.9514042600770571, "z": 0.43820248031373954, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.21910124015686977, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.42799196984258253, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.30235677905406555, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.20506217317591766, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.3227583008570439, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.04123778033397698, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2934297199578065, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.08446222134834214, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.22587106034637927, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.17004439514464176, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.1342104462225055, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.21223490636719078, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.3744467859455345, "x": 1.9615705608064609, "z": 0.39018064403225666, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.19509032201612833, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.442909649383465, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.2740725248812033, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.23861166705161596, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.3030495084363916, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.09045267453225737, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2925286841200979, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": -0.027859250754170145, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.24975925328309756, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.11765199066281692, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.1832349521092526, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.17636344257982306, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.3989904785517047, "x": 1.9705552847778824, "z": 0.3419237775206027, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.17096188876030136, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.4561580488872655, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.24395066185850223, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.26913257131305257, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.27798107238027453, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.13714949927567657, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.2818145458549625, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.029669161167171484, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.2600828217742165, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.05777983079434055, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.21758064442184474, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.12426100759022622, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.423534171157875, "x": 1.978353019929562, "z": 0.2934609489107235, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.14673047445536175, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.4677052517991567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.21219800547316567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.29629108931163917, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.24801328217939952, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.18019221238977212, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.26168509252840866, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.08567347749494691, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.25635402336061475, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.005637729540588832, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.23462836317666555, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.06081741576618794, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.4480778637640452, "x": 1.98495906919742, "z": 0.24482135039843256, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.12241067519921628, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.47752343989590795, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.17903039463466164, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.3197909248172116, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.2136867971607513, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.21853693795806617, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.23284101238184535, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.1377781478263127, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.23882687475641567, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.06845391095384358, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.23311254783834404, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.00805644498261246, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.4726215563702154, "x": 1.9903694533443936, "z": 0.19603428065912154, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.09801714032956077, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.48558896030242277, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.14467149566045398, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.3393762192161003, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.1756136322345197, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.25125608161680646, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.19626257533478422, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.1837795156871484, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.20848120294644165, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.12657557460040725, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.21321364749821614, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.07597197537027052, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.4971652489763858, "x": 1.9945809133573804, "z": 0.1471291271993349, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.07356456359966745, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.49188238247358573, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.10935156374816839, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.3548340867395577, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.1344670375328425, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.27755972256945133, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.15317764334638845, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2217364200870151, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.1669693530438469, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.17622502565505374, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.17653961724538256, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.13664774204077387, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.521708941582556, "x": 1.9975909124103448, "z": 0.09813534865483625, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.049067674327418126, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.49638854500414764, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.0733061686618195, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.36599672313545506, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.09097042935773851, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.2968138057107692, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.10502201387927136, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2500498562952274, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.11652836828638595, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.2141810962182392, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.12599821969697317, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.18448299561436196, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.5462526341887264, "x": 1.9993976373924085, "z": 0.04908245704582453, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.024541228522912264, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.4990965921538793, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.0367748915537, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.37274306733474133, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 0.04588554427538769, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.30855472879435686, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -0.053393331871072, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.26752850402184786, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.05986219817551749, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.23798437903757552, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.06557009012753724, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.2150681038661092, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, { "radius": 2, "theta": 1.5707963267948966, "x": 2, "z": 1.2246467991473532e-16, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 6.123233995736766e-17, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": -0.5, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -9.18485099360515e-17, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": 0.375, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": 1.1481063742006435e-16, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.3125, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": -1.3394574365674174e-16, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.2734375, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 1.5068896161383446e-16, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": -0.24609375, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -1.6575785777521791e-16, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": 0.2255859375, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] } ], "probe": { "radius": 2, "theta": 0.7853981633974483, "x": 1.414213562373095, "z": 1.4142135623730951, "direct": { "potential": 0, "ex": 0, "ez": 0, "terms": [] }, "orders": [ { "order": 0, "P": 1, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 1, "P": 0.7071067811865476, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 2, "P": 0.2500000000000001, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 3, "P": -0.17677669529663675, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 4, "P": -0.4062499999999999, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 5, "P": -0.3756504775053534, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 6, "P": -0.14843750000000014, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 7, "P": 0.12705824974445762, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 8, "P": 0.29833984374999994, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 9, "P": 0.2855357949420288, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 10, "P": 0.11511230468750018, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 11, "P": -0.10418431212062516, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] }, { "order": 12, "P": -0.24671936035156242, "moment": 0, "term": 0, "partial": 0, "direct": 0, "error": 0, "absoluteError": 0, "tailBound": 0, "sourceTerms": [ { "role": "real", "charge": 0, "position": 1, "moment": 0, "contribution": 0 }, { "role": "image", "charge": 0, "position": -1, "moment": 0, "contribution": 0 } ], "tailTerms": [ 0, 0 ] } ] }, "selectedOrder": 4, "quadratureStatus": { "converged": true, "estimatedError": 0, "total": 0, "exactFinite": 0, "infiniteOrFullCharge": 0, "remainingCharge": 0 }, "units": "k=1；epsilon0=1/(4pi)。平面横坐标rho/d，球面横坐标theta；长度、势、场与电荷各自标明。", "scope": "数学像只在指定物理域外辅助构造。边界采样不是唯一性证明；Simpson误差估计不是严格上界；多极绝对尾界来自完整源展开。" } }