{
  "schema": 1,
  "provenance": {
    "date": "2026-09-11",
    "node": "v24.14.0",
    "platform": "darwin",
    "arch": "arm64",
    "jsSha256": "e87de0ad56a8231cb7543628840f82fc0ac282486335d140ac6c4555c92a2fe1"
  },
  "even": {
    "parameters": {
      "mode": "finite",
      "p": "0.1",
      "codebook": "0000,1111",
      "decoder": "ml",
      "tie": "first",
      "inspect": 0,
      "n": 4,
      "bits": 40,
      "epsilon": "0.05",
      "inputProbability": "0.5",
      "codewords": [
        "0000",
        "1111"
      ]
    },
    "result": {
      "n": 4,
      "M": 2,
      "codewords": [
        "0000",
        "1111"
      ],
      "p": {
        "numerator": "1",
        "denominator": "10",
        "value": 0.1,
        "status": "finite",
        "log2": -3.321928094887362
      },
      "decoder": "ml",
      "tie": "first",
      "distinct": 2,
      "pairDistances": [
        [
          0,
          4
        ],
        [
          4,
          0
        ]
      ],
      "minDistance": 4,
      "rate": 0.25,
      "capacity": 0.5310044064107188,
      "received": [
        {
          "index": 0,
          "word": "0000",
          "distances": [
            0,
            4
          ],
          "likelihoods": [
            {
              "numerator": "6561",
              "denominator": "10000",
              "value": 0.6561,
              "status": "finite",
              "log2": -0.6080123737801999
            },
            {
              "numerator": "1",
              "denominator": "10000",
              "value": 0.0001,
              "status": "finite",
              "log2": -13.287712379549449
            }
          ],
          "winners": [
            0
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "3281",
            "denominator": "10000",
            "value": 0.3281,
            "status": "finite",
            "log2": -1.6077925010310294
          },
          "posterior": [
            {
              "numerator": "6561",
              "denominator": "6562",
              "value": 0.999847607436757,
              "status": "finite",
              "log2": -0.00021987274917037626
            },
            {
              "numerator": "1",
              "denominator": "6562",
              "value": 0.00015239256324291374,
              "status": "finite",
              "log2": -12.67991987851842
            }
          ],
          "posteriorEntropy": 0.0021521647342007404,
          "jointCorrect": {
            "numerator": "6561",
            "denominator": "20000",
            "value": 0.32805,
            "status": "finite",
            "log2": -1.6080123737802
          },
          "jointError": {
            "numerator": "1",
            "denominator": "20000",
            "value": 0.00005,
            "status": "finite",
            "log2": -14.287712379549449
          }
        },
        {
          "index": 1,
          "word": "0001",
          "distances": [
            1,
            3
          ],
          "likelihoods": [
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            },
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            }
          ],
          "winners": [
            0
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            },
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 2,
          "word": "0010",
          "distances": [
            1,
            3
          ],
          "likelihoods": [
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            },
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            }
          ],
          "winners": [
            0
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            },
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 3,
          "word": "0011",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 4,
          "word": "0100",
          "distances": [
            1,
            3
          ],
          "likelihoods": [
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            },
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            }
          ],
          "winners": [
            0
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            },
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 5,
          "word": "0101",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 6,
          "word": "0110",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 7,
          "word": "0111",
          "distances": [
            3,
            1
          ],
          "likelihoods": [
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            },
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            }
          ],
          "winners": [
            1
          ],
          "chosen": [
            1
          ],
          "decisions": [
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            },
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            },
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 8,
          "word": "1000",
          "distances": [
            1,
            3
          ],
          "likelihoods": [
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            },
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            }
          ],
          "winners": [
            0
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            },
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 9,
          "word": "1001",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 10,
          "word": "1010",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 11,
          "word": "1011",
          "distances": [
            3,
            1
          ],
          "likelihoods": [
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            },
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            }
          ],
          "winners": [
            1
          ],
          "chosen": [
            1
          ],
          "decisions": [
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            },
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            },
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 12,
          "word": "1100",
          "distances": [
            2,
            2
          ],
          "likelihoods": [
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            },
            {
              "numerator": "81",
              "denominator": "10000",
              "value": 0.0081,
              "status": "finite",
              "log2": -6.947862376664824
            }
          ],
          "winners": [
            0,
            1
          ],
          "chosen": [
            0
          ],
          "decisions": [
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            },
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            }
          ],
          "outputProbability": {
            "numerator": "81",
            "denominator": "10000",
            "value": 0.0081,
            "status": "finite",
            "log2": -6.947862376664824
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            },
            {
              "numerator": "1",
              "denominator": "2",
              "value": 0.5,
              "status": "finite",
              "log2": -1
            }
          ],
          "posteriorEntropy": 1,
          "jointCorrect": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          },
          "jointError": {
            "numerator": "81",
            "denominator": "20000",
            "value": 0.00405,
            "status": "finite",
            "log2": -7.947862376664824
          }
        },
        {
          "index": 13,
          "word": "1101",
          "distances": [
            3,
            1
          ],
          "likelihoods": [
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            },
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            }
          ],
          "winners": [
            1
          ],
          "chosen": [
            1
          ],
          "decisions": [
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            },
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            },
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 14,
          "word": "1110",
          "distances": [
            3,
            1
          ],
          "likelihoods": [
            {
              "numerator": "9",
              "denominator": "10000",
              "value": 0.0009,
              "status": "finite",
              "log2": -10.117787378107137
            },
            {
              "numerator": "729",
              "denominator": "10000",
              "value": 0.0729,
              "status": "finite",
              "log2": -3.7779373752225123
            }
          ],
          "winners": [
            1
          ],
          "chosen": [
            1
          ],
          "decisions": [
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            },
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            }
          ],
          "outputProbability": {
            "numerator": "369",
            "denominator": "10000",
            "value": 0.0369,
            "status": "finite",
            "log2": -4.760235373489054
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "82",
              "value": 0.012195121951219513,
              "status": "finite",
              "log2": -6.357552004618084
            },
            {
              "numerator": "81",
              "denominator": "82",
              "value": 0.9878048780487805,
              "status": "finite",
              "log2": -0.01770200173345897
            }
          ],
          "posteriorEntropy": 0.09501724567107633,
          "jointCorrect": {
            "numerator": "729",
            "denominator": "20000",
            "value": 0.03645,
            "status": "finite",
            "log2": -4.777937375222512
          },
          "jointError": {
            "numerator": "9",
            "denominator": "20000",
            "value": 0.00045,
            "status": "finite",
            "log2": -11.117787378107137
          }
        },
        {
          "index": 15,
          "word": "1111",
          "distances": [
            4,
            0
          ],
          "likelihoods": [
            {
              "numerator": "1",
              "denominator": "10000",
              "value": 0.0001,
              "status": "finite",
              "log2": -13.287712379549449
            },
            {
              "numerator": "6561",
              "denominator": "10000",
              "value": 0.6561,
              "status": "finite",
              "log2": -0.6080123737801999
            }
          ],
          "winners": [
            1
          ],
          "chosen": [
            1
          ],
          "decisions": [
            {
              "numerator": "0",
              "denominator": "1",
              "value": 0,
              "status": "zero",
              "log2": null
            },
            {
              "numerator": "1",
              "denominator": "1",
              "value": 1,
              "status": "finite",
              "log2": 0
            }
          ],
          "outputProbability": {
            "numerator": "3281",
            "denominator": "10000",
            "value": 0.3281,
            "status": "finite",
            "log2": -1.6077925010310294
          },
          "posterior": [
            {
              "numerator": "1",
              "denominator": "6562",
              "value": 0.00015239256324291374,
              "status": "finite",
              "log2": -12.67991987851842
            },
            {
              "numerator": "6561",
              "denominator": "6562",
              "value": 0.999847607436757,
              "status": "finite",
              "log2": -0.00021987274917037626
            }
          ],
          "posteriorEntropy": 0.0021521647342007404,
          "jointCorrect": {
            "numerator": "6561",
            "denominator": "20000",
            "value": 0.32805,
            "status": "finite",
            "log2": -1.6080123737802
          },
          "jointError": {
            "numerator": "1",
            "denominator": "20000",
            "value": 0.00005,
            "status": "finite",
            "log2": -14.287712379549449
          }
        }
      ],
      "perMessage": [
        {
          "message": 0,
          "codeword": "0000",
          "success": {
            "numerator": "9963",
            "denominator": "10000",
            "value": 0.9963,
            "status": "finite",
            "log2": -0.0053478713255847915
          },
          "error": {
            "numerator": "37",
            "denominator": "10000",
            "value": 0.0037,
            "status": "finite",
            "log2": -8.0782590139205
          },
          "total": {
            "numerator": "1",
            "denominator": "1",
            "value": 1,
            "status": "finite",
            "log2": 0
          }
        },
        {
          "message": 1,
          "codeword": "1111",
          "success": {
            "numerator": "9477",
            "denominator": "10000",
            "value": 0.9477,
            "status": "finite",
            "log2": -0.07749765708142015
          },
          "error": {
            "numerator": "523",
            "denominator": "10000",
            "value": 0.0523,
            "status": "finite",
            "log2": -4.257045243302508
          },
          "total": {
            "numerator": "1",
            "denominator": "1",
            "value": 1,
            "status": "finite",
            "log2": 0
          }
        }
      ],
      "confusion": [
        [
          {
            "numerator": "9963",
            "denominator": "10000",
            "value": 0.9963,
            "status": "finite",
            "log2": -0.0053478713255847915
          },
          {
            "numerator": "37",
            "denominator": "10000",
            "value": 0.0037,
            "status": "finite",
            "log2": -8.0782590139205
          }
        ],
        [
          {
            "numerator": "523",
            "denominator": "10000",
            "value": 0.0523,
            "status": "finite",
            "log2": -4.257045243302508
          },
          {
            "numerator": "9477",
            "denominator": "10000",
            "value": 0.9477,
            "status": "finite",
            "log2": -0.07749765708142015
          }
        ]
      ],
      "byWeight": [
        {
          "k": 0,
          "mass": {
            "numerator": "6561",
            "denominator": "10000",
            "value": 0.6561,
            "status": "finite",
            "log2": -0.6080123737801999
          },
          "error": {
            "numerator": "0",
            "denominator": "1",
            "value": 0,
            "status": "zero",
            "log2": null
          }
        },
        {
          "k": 1,
          "mass": {
            "numerator": "729",
            "denominator": "2500",
            "value": 0.2916,
            "status": "finite",
            "log2": -1.7779373752225123
          },
          "error": {
            "numerator": "0",
            "denominator": "1",
            "value": 0,
            "status": "zero",
            "log2": null
          }
        },
        {
          "k": 2,
          "mass": {
            "numerator": "243",
            "denominator": "5000",
            "value": 0.0486,
            "status": "finite",
            "log2": -4.362899875943668
          },
          "error": {
            "numerator": "243",
            "denominator": "10000",
            "value": 0.0243,
            "status": "finite",
            "log2": -5.362899875943668
          }
        },
        {
          "k": 3,
          "mass": {
            "numerator": "9",
            "denominator": "2500",
            "value": 0.0036,
            "status": "finite",
            "log2": -8.117787378107137
          },
          "error": {
            "numerator": "9",
            "denominator": "2500",
            "value": 0.0036,
            "status": "finite",
            "log2": -8.117787378107137
          }
        },
        {
          "k": 4,
          "mass": {
            "numerator": "1",
            "denominator": "10000",
            "value": 0.0001,
            "status": "finite",
            "log2": -13.287712379549449
          },
          "error": {
            "numerator": "1",
            "denominator": "10000",
            "value": 0.0001,
            "status": "finite",
            "log2": -13.287712379549449
          }
        }
      ],
      "averageError": {
        "numerator": "7",
        "denominator": "250",
        "value": 0.028,
        "status": "finite",
        "log2": -5.158429362604483
      },
      "maximumError": {
        "numerator": "523",
        "denominator": "10000",
        "value": 0.0523,
        "status": "finite",
        "log2": -4.257045243302508
      },
      "bitError": {
        "numerator": "7",
        "denominator": "250",
        "value": 0.028,
        "status": "finite",
        "log2": -5.158429362604483
      },
      "conditionalEntropy": 0.07806134142068424,
      "mutualInformation": 0.9219386585793158,
      "fanoUsingActualInformation": -0.9219386585793158,
      "fanoUsingCapacity": -2.124017625642875,
      "repetitionReference": {
        "numerator": "7",
        "denominator": "250",
        "value": 0.028,
        "status": "finite",
        "log2": -5.158429362604483
      }
    }
  },
  "tail": {
    "parameters": {
      "mode": "packing",
      "p": "0.1",
      "codebook": "000,111",
      "decoder": "ml",
      "tie": "uniform",
      "inspect": 0,
      "n": 500,
      "bits": 200,
      "epsilon": "0.02",
      "inputProbability": "0.5"
    },
    "result": {
      "n": 500,
      "p": {
        "numerator": "1",
        "denominator": "10",
        "value": 0.1,
        "status": "finite",
        "log2": -3.321928094887362
      },
      "epsilon": 0.02,
      "M": "1606938044258990275541962092341162602522202993782792835301376",
      "bits": 200,
      "rate": 0.4,
      "entropy": 0.4689955935892812,
      "capacity": 0.5310044064107188,
      "rows": [
        {
          "k": 0,
          "count": "1",
          "singleLikelihood": {
            "numerator": "1322070819480806636890455259752144365965422032752148167664920368226828597346704899540778313850608061963909777696872582355950954582100618911865342725257953674027620225198320803878014774228964841274390400117588618041128947815623094438061566173054086674490506178125480344405547054397038895817465368254916136220830268563778582290228416398307887896918556404084898937609373242171846359938695516765018940588109060426089671438864102814350385648747165832010614366132173102768902855220001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3220708194808067e-23,
            "status": "finite",
            "log2": -76.00154672252506
          },
          "trueMass": {
            "numerator": "1322070819480806636890455259752144365965422032752148167664920368226828597346704899540778313850608061963909777696872582355950954582100618911865342725257953674027620225198320803878014774228964841274390400117588618041128947815623094438061566173054086674490506178125480344405547054397038895817465368254916136220830268563778582290228416398307887896918556404084898937609373242171846359938695516765018940588109060426089671438864102814350385648747165832010614366132173102768902855220001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3220708194808067e-23,
            "status": "finite",
            "log2": -76.00154672252506
          },
          "falseMass": {
            "numerator": "1",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.054936363499605e-151,
            "status": "finite",
            "log2": -500
          },
          "noiseInformation": 0.1520030934450501,
          "jointInformation": 1.15200309344505,
          "informationDensity": 423.99845327747494,
          "difference": -0.31699250014423125,
          "margin": -0.29699250014423123,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1322070819480806636890455259752144365965422032752148167664920368226828597346704899540778313850608061963909777696872582355950954582100618911865342725257953674027620225198320803878014774228964841274390400117588618041128947815623094438061566173054086674490506178125480344405547054397038895817465368254916136220830268563778582290228416398307887896918556404084898937609373242171846359938695516765018940588109060426089671438864102814350385648747165832010614366132173102768902855220001",
            "value": 2.3107206652509854e-128,
            "status": "finite",
            "log2": -423.99845327747494
          }
        },
        {
          "k": 1,
          "count": "500",
          "singleLikelihood": {
            "numerator": "146896757720089626321161695528016040662824670305794240851657818691869844149633877726753145983400895773767753077430286928438994953566735434651704747250883741558624469466480089319779419358773871252710044457509846449014327535069232715340174019228231852721167353125053371600616339377448766201940596472768459580092252062642064698914268488700876432990950711564988770845485915796871817770966168529446548954234340047343296826540455868261153960971907314667846040681352566974322539468889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4689675772008962e-24,
            "status": "finite",
            "log2": -79.17147172396722
          },
          "trueMass": {
            "numerator": "146896757720089626321161695528016040662824670305794240851657818691869844149633877726753145983400895773767753077430286928438994953566735434651704747250883741558624469466480089319779419358773871252710044457509846449014327535069232715340174019228231852721167353125053371600616339377448766201940596472768459580092252062642064698914268488700876432990950711564988770845485915796871817770966168529446548954234340047343296826540455868261153960971907314667846040681352566974322539468889",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.344837886004481e-22,
            "status": "finite",
            "log2": -70.20568743930517
          },
          "falseMass": {
            "numerator": "125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5274681817498023e-148,
            "status": "finite",
            "log2": -491.0342157153379
          },
          "noiseInformation": 0.15834294344793443,
          "jointInformation": 1.1583429434479344,
          "informationDensity": 420.8285282760328,
          "difference": -0.3106526501413466,
          "margin": -0.29065265014134656,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "146896757720089626321161695528016040662824670305794240851657818691869844149633877726753145983400895773767753077430286928438994953566735434651704747250883741558624469466480089319779419358773871252710044457509846449014327535069232715340174019228231852721167353125053371600616339377448766201940596472768459580092252062642064698914268488700876432990950711564988770845485915796871817770966168529446548954234340047343296826540455868261153960971907314667846040681352566974322539468889",
            "value": 2.079648598725887e-127,
            "status": "finite",
            "log2": -420.8285282760328
          }
        },
        {
          "k": 2,
          "count": "124750",
          "singleLikelihood": {
            "numerator": "16321861968898847369017966169779560073647185589532693427961979854652204905514875302972571775933432863751972564158920769826554994840748381627967194138987082395402718829608898813308824373197096805856671606389982938779369726118803635037797113247581316969018594791672596844512926597494307355771177385863162175565805784738007188768252054300097381443438967951665418982831768421874646418996240947716283217137148894149255202948939540917905995663545257185316226742372507441591393274321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.632186196889885e-25,
            "status": "finite",
            "log2": -82.3413967254096
          },
          "trueMass": {
            "numerator": "8144609122480524837139965118720000476749945609176814020553027947471450247851922776183313316190782999012234309515301464143450942425533442432355629875354554115305956695974840507841103362225351306122479131588601486450905493333283013883860759510543077167540278801044625825411950372149659370529817515545717925607337086584265587195357775095748593340276045007881044072433052442515448563079124232910425325351437298180478346271520830918035091836109083335472797144443881213354105243886179",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0361522806201314e-20,
            "status": "finite",
            "log2": -65.41271643541018
          },
          "falseMass": {
            "numerator": "62375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.811033113465757e-146,
            "status": "finite",
            "log2": -483.07131971000064
          },
          "noiseInformation": 0.16468279345081918,
          "jointInformation": 1.1646827934508193,
          "informationDensity": 417.6586032745904,
          "difference": -0.30431280013846196,
          "margin": -0.28431280013846194,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16321861968898847369017966169779560073647185589532693427961979854652204905514875302972571775933432863751972564158920769826554994840748381627967194138987082395402718829608898813308824373197096805856671606389982938779369726118803635037797113247581316969018594791672596844512926597494307355771177385863162175565805784738007188768252054300097381443438967951665418982831768421874646418996240947716283217137148894149255202948939540917905995663545257185316226742372507441591393274321",
            "value": 1.8716837388532978e-126,
            "status": "finite",
            "log2": -417.6586032745904
          }
        },
        {
          "k": 3,
          "count": "20708500",
          "singleLikelihood": {
            "numerator": "1813540218766538596557551796642173341516353954392521491995775539405800545057208366996952419548159207083552507128768974425172777204527597958663021570998564710600302092178766534812091597021899645095185734043331437642152191790978181670866345916397924107668732754630288538279214066388256372863464153984795797285089531637556354307583561588899709049270996439073935442536863157986071824332915660857364801904127654905472800327659948990878443962616139687257358526930278604621265919369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8135402187665387e-26,
            "status": "finite",
            "log2": -85.51132172685197
          },
          "trueMass": {
            "numerator": "75111395240653729053624122761528893285582831729075062633989035515570041174634398935912778360426109879779494187752224613767380913479919524653946364406047554618932711751767973572312397673856017600907307546872658152825017327406943350262271448819452822767315904498522660389910208987602414194886094865588287536156553131832671526357188370327459249693656859517125184223549261414309136748396367925729478000463255083219966971170692107355212513599672657427138018109871348967598970582505873",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.755569762032687e-19,
            "status": "finite",
            "log2": -61.20760200550558
          },
          "falseMass": {
            "numerator": "5177125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.326314968353156e-144,
            "status": "finite",
            "log2": -475.6962802786537
          },
          "noiseInformation": 0.17102264345370394,
          "jointInformation": 1.1710226434537039,
          "informationDensity": 414.4886782731481,
          "difference": -0.29797295013557734,
          "margin": -0.2779729501355773,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1813540218766538596557551796642173341516353954392521491995775539405800545057208366996952419548159207083552507128768974425172777204527597958663021570998564710600302092178766534812091597021899645095185734043331437642152191790978181670866345916397924107668732754630288538279214066388256372863464153984795797285089531637556354307583561588899709049270996439073935442536863157986071824332915660857364801904127654905472800327659948990878443962616139687257358526930278604621265919369",
            "value": 1.6845153649679683e-125,
            "status": "finite",
            "log2": -414.488678273148
          }
        },
        {
          "k": 4,
          "count": "2573031125",
          "singleLikelihood": {
            "numerator": "201504468751837621839727977404685926835150439376946832443975059933977838339689818555216935505351023009283611903196552713908086356058621995407002396777618301177811343575418503868010177446877738343909526004814604182461354643442020185651816212933102678629859194958920948697690451820917374762607128220532866365009947959728483811953729065433301005474555159897103938059651461998452424925879517873040533544903072767274755591962216554542049329179571076361928725214475400513473991041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0150446875183764e-27,
            "status": "finite",
            "log2": -88.68124672829435
          },
          "trueMass": {
            "numerator": "4147818159400544815516798779164428884770518596594478458788061183470923384865921807905405649459086290027823179034761737004709812666613333750334593678867292738401061971180964762826584627100715638627881316755079011328225956857916760564483212229252005879484000503973973579309485985204266650539821016466375433941089656280093083177724735561416360788638606575556801839900442546990182329328110539898616729581137530706702620519092664150615624362115256749031955000067340048544076486611713209",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.184772699250681e-18,
            "status": "finite",
            "log2": -57.42042496538579
          },
          "falseMass": {
            "numerator": "2573031125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 7.860446348178797e-142,
            "status": "finite",
            "log2": -468.73917823709144
          },
          "noiseInformation": 0.17736249345658872,
          "jointInformation": 1.1773624934565887,
          "informationDensity": 411.31875327170565,
          "difference": -0.2916331001326927,
          "margin": -0.2716331001326927,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "201504468751837621839727977404685926835150439376946832443975059933977838339689818555216935505351023009283611903196552713908086356058621995407002396777618301177811343575418503868010177446877738343909526004814604182461354643442020185651816212933102678629859194958920948697690451820917374762607128220532866365009947959728483811953729065433301005474555159897103938059651461998452424925879517873040533544903072767274755591962216554542049329179571076361928725214475400513473991041",
            "value": 1.5160638284711714e-124,
            "status": "finite",
            "log2": -411.31875327170565
          }
        },
        {
          "k": 5,
          "count": "255244687600",
          "singleLikelihood": {
            "numerator": "22389385416870846871080886378298436315016715486327425827108339992664204259965535395024103945039002556587067989244061412656454039562069110600778044086402033464201260397268722652001130827430859815989947333868289353606817182604668909516868468103678075403317688328768994299743383535657486084734125357836985151667771995525387090217081007270366778386061684433011548673294606888716936102875501985893392616100341418586083954662468506060227703242174564040214302801608377834830443449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.2389385416870847e-28,
            "status": "finite",
            "log2": -91.8511717297365
          },
          "trueMass": {
            "numerator": "14286929215712987697891195794899699491987341832714314691381099631955402770093730671674175014803519443429168727786401538571778243629445927362263600449431786098936991234067767516402680382235798310829368979934161039019444962510602175277664397678534686918222668402577020106510451726814696240748272390050848716908197704964765064278829644711545242716421867093584539670768190995188405801019047415206346513001695939100864581787985843185453817247285884357776733889120837944985152342773678831",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.714771686285195e-17,
            "status": "finite",
            "log2": -53.958081751328564
          },
          "falseMass": {
            "numerator": "15952792975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.797562777393366e-140,
            "status": "finite",
            "log2": -462.10691002159194
          },
          "noiseInformation": 0.183702343459473,
          "jointInformation": 1.1837023434594731,
          "informationDensity": 408.1488282702635,
          "difference": -0.2852932501298081,
          "margin": -0.2652932501298081,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "22389385416870846871080886378298436315016715486327425827108339992664204259965535395024103945039002556587067989244061412656454039562069110600778044086402033464201260397268722652001130827430859815989947333868289353606817182604668909516868468103678075403317688328768994299743383535657486084734125357836985151667771995525387090217081007270366778386061684433011548673294606888716936102875501985893392616100341418586083954662468506060227703242174564040214302801608377834830443449",
            "value": 1.3644574456240543e-123,
            "status": "finite",
            "log2": -408.1488282702635
          }
        },
        {
          "k": 6,
          "count": "21057686727000",
          "singleLikelihood": {
            "numerator": "2487709490763427430120098486477604035001857276258602869678704443629356028885059488336011549448778061843007554360451268072939337729118790066753116009600225940466806710807635850222347869714539979554438592652032150400757464733852101057429829789297563933701965369863221588860375948406387342748236150870776127963085777280598565579675667474485197598451298270334616519254956320968548455875055776210376957344482379842898217184718722895580855915797173782246033644623153092758938161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4877094907634276e-29,
            "status": "finite",
            "log2": -95.02109673117889
          },
          "trueMass": {
            "numerator": "52385407124280954892267717914632231470620253386619153868397365317169810157010345796138641720946237959240285335216805641429853559974635066994966534981249882362768967858248480893476494734864593806374352926425257143071298195872207976018102791487960518700149784142782407057204989664987219549410332096853111961996724918204138569022375363942332556626880179343143312126150033649024154603736507189089937214339551776703170133222614758346663996573381575978514690926776405798278891923503489047",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.238540712428096e-16,
            "status": "finite",
            "log2": -50.76168453852506
          },
          "falseMass": {
            "numerator": "2632210840875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.432989291349527e-138,
            "status": "finite",
            "log2": -455.7405878073461
          },
          "noiseInformation": 0.19004219346235776,
          "jointInformation": 1.1900421934623577,
          "informationDensity": 404.9789032688211,
          "difference": -0.27895340012692343,
          "margin": -0.2589534001269234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2487709490763427430120098486477604035001857276258602869678704443629356028885059488336011549448778061843007554360451268072939337729118790066753116009600225940466806710807635850222347869714539979554438592652032150400757464733852101057429829789297563933701965369863221588860375948406387342748236150870776127963085777280598565579675667474485197598451298270334616519254956320968548455875055776210376957344482379842898217184718722895580855915797173782246033644623153092758938161",
            "value": 1.2280117010616488e-122,
            "status": "finite",
            "log2": -404.9789032688211
          }
        },
        {
          "k": 7,
          "count": "1486071034734000",
          "singleLikelihood": {
            "numerator": "276412165640380825568899831830844892777984141806511429964300493736595114320562165370667949938753117982556394928939029785882148636568754451861457334400025104496311856756403983358038652190504442172715399183559127822306384970428011228603314421033062659300218374429246843206708438711820815860915127874530680884787308586733173953297296386053910844272366474481624057694995146774283161763895086245597439704942486649210913020524302543953428435088574864694003738291461454750993129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.7641216564038084e-30,
            "status": "finite",
            "log2": -98.19102173262127
          },
          "trueMass": {
            "numerator": "205384056503133267593494068649431129734019088674522714372923003703824493790183419232480071509106678983053182187278587197351965544662458119805662446672519380057205318428371028264899907928754836034515320203603785941882708799689450318674149039643273779665666614020115151478248134083362590931815111554328867533542715155498765500770265315773907007727609592027879334843794576369983590271792337709606579237172528394375920998507711830343269954819448401058621089824028130669442639763577171343",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.107681130062665e-15,
            "status": "finite",
            "log2": -47.7905972304402
          },
          "falseMass": {
            "numerator": "92879439670875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.539852442752381e-136,
            "status": "finite",
            "log2": -449.59957549781905
          },
          "noiseInformation": 0.19638204346524255,
          "jointInformation": 1.1963820434652426,
          "informationDensity": 401.80897826737873,
          "difference": -0.2726135501240388,
          "margin": -0.2526135501240388,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "276412165640380825568899831830844892777984141806511429964300493736595114320562165370667949938753117982556394928939029785882148636568754451861457334400025104496311856756403983358038652190504442172715399183559127822306384970428011228603314421033062659300218374429246843206708438711820815860915127874530680884787308586733173953297296386053910844272366474481624057694995146774283161763895086245597439704942486649210913020524302543953428435088574864694003738291461454750993129",
            "value": 1.1052105309554838e-121,
            "status": "finite",
            "log2": -401.80897826737873
          }
        },
        {
          "k": 8,
          "count": "91579127515482750",
          "singleLikelihood": {
            "numerator": "30712462848931202840988870203427210308664904645167936662700054859621679368951351707851994437639235331395154992104336642875794292952083827984606370488891678277367984084044887039782072465611604685857266575951014202478487218936445692067034935670340295477802041603249649245189826523535646206768347541614520098309700954081463772588588487339323427141374052720180450854999460752698129084877231805066382189438054072134545891169366949328158715009841651632667082032384606083443681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.07124628489312e-31,
            "status": "finite",
            "log2": -101.36094673406342
          },
          "trueMass": {
            "numerator": "11250482206227188991510286204907727439874601190726633131761226758442830604284491742401408361554399193182802090925371498699391001502065761451576842912172450485355802442798546326066183845430681573890672540041851829927575048694099889678483941838237108152797071190212974408752925567010861925487205555142681299337395396851210154653304533408504017201079058763304945786443414016711323333777069165648449284880672944269703228029366881373248009747332006857988910809249540935559469044827060608011",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.8126205515567975e-14,
            "status": "finite",
            "log2": -45.01507839550459
          },
          "falseMass": {
            "numerator": "45789563757741375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.797684067846154e-134,
            "status": "finite",
            "log2": -443.6541316614411
          },
          "noiseInformation": 0.20272189346812683,
          "jointInformation": 1.2027218934681267,
          "informationDensity": 398.6390532659366,
          "difference": -0.26627370012115426,
          "margin": -0.24627370012115427,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "30712462848931202840988870203427210308664904645167936662700054859621679368951351707851994437639235331395154992104336642875794292952083827984606370488891678277367984084044887039782072465611604685857266575951014202478487218936445692067034935670340295477802041603249649245189826523535646206768347541614520098309700954081463772588588487339323427141374052720180450854999460752698129084877231805066382189438054072134545891169366949328158715009841651632667082032384606083443681",
            "value": 9.946894778599356e-121,
            "status": "finite",
            "log2": -398.6390532659366
          }
        },
        {
          "k": 9,
          "count": "5006325637513057000",
          "singleLikelihood": {
            "numerator": "3412495872103466982332096689269690034296100516129770740300006095513519929883483523094666048626581703488350554678259626986199365883564869776067374498765742030818664898227209671086896940623511631761918508439001578053165246548493965785226103963371143941978004622583294360576647391503960689640927504623835566478855661564607085843176498593258158571263783635575605650555495639188681009430803533896264687715339341348282876796596327703128746112204627959185231336931622898160409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.412495872103467e-32,
            "status": "finite",
            "log2": -104.5308717355058
          },
          "trueMass": {
            "numerator": "17084065572419064764885990163008030556846616622955257718600381373931705732432005979202138623101124700759069841775564127654630780058692452574616687385150758144429181487212607384026427320839183130722873116359849075075206555424373906548808948717323016083877034029582664842921109194349827368332423250401849380475304121144430234843906884064765359453490422566500102860895554617969046543883697621910608173337318174631771568489038597640858088875578232636205383080712265865108823364367017960313",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7084065572419064e-13,
            "status": "finite",
            "log2": -42.412413893049916
          },
          "falseMass": {
            "numerator": "625790704689132125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.5294006237558976e-132,
            "status": "finite",
            "log2": -437.8815421575442
          },
          "noiseInformation": 0.20906174347101159,
          "jointInformation": 1.2090617434710116,
          "informationDensity": 395.4691282644942,
          "difference": -0.2599338501182696,
          "margin": -0.2399338501182696,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3412495872103466982332096689269690034296100516129770740300006095513519929883483523094666048626581703488350554678259626986199365883564869776067374498765742030818664898227209671086896940623511631761918508439001578053165246548493965785226103963371143941978004622583294360576647391503960689640927504623835566478855661564607085843176498593258158571263783635575605650555495639188681009430803533896264687715339341348282876796596327703128746112204627959185231336931622898160409",
            "value": 8.95220530073942e-120,
            "status": "finite",
            "log2": -395.4691282644942
          }
        },
        {
          "k": 10,
          "count": "245810588801891098700",
          "singleLikelihood": {
            "numerator": "379166208011496331370232965474410003810677835125530082255556232834835547764831502566074005402953522609816728297584402998466596209284985530674152722085082447868740544247467741231877437847056847973546500937666842005907249616499329531691789329263460437997556069175921595619627487944884521071214167180426174053206184618289676204797388732584239841251531515063956183395055071020964556603422614877362743079482149038698097421844036411458749568022736439909470148547958099795601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.791662080114963e-33,
            "status": "finite",
            "log2": -107.70079673694818
          },
          "trueMass": {
            "numerator": "932030688450862311062113463337438111490187640207892393314754139400051946069346103976472229326961358674744810256866887408713745889868666023792977056234335805434969790024598913950775090503559879687214522236965099540214046523707509790607243757800622321909291523169454270874918290491751693094579979549700893979263813720212805034262031119533310165740421942239061167188857479713644650338543948039789845900958135971577760014235327937962369070878768024930760343625524726640936919100467313168187",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.320306884508623e-13,
            "status": "finite",
            "log2": -39.96468777506493
          },
          "falseMass": {
            "numerator": "61452647200472774675",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.509357062641458e-131,
            "status": "finite",
            "log2": -432.26389103811687
          },
          "noiseInformation": 0.21540159347389637,
          "jointInformation": 1.2154015934738964,
          "informationDensity": 392.29920326305177,
          "difference": -0.25359400011538497,
          "margin": -0.23359400011538498,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "379166208011496331370232965474410003810677835125530082255556232834835547764831502566074005402953522609816728297584402998466596209284985530674152722085082447868740544247467741231877437847056847973546500937666842005907249616499329531691789329263460437997556069175921595619627487944884521071214167180426174053206184618289676204797388732584239841251531515063956183395055071020964556603422614877362743079482149038698097421844036411458749568022736439909470148547958099795601",
            "value": 8.056984770665478e-119,
            "status": "finite",
            "log2": -392.2992032630518
          }
        },
        {
          "k": 11,
          "count": "10949744410266058033000",
          "singleLikelihood": {
            "numerator": "42129578667944036818914773941601111534519759458392231361728470314981727529425722507341556155883724734424080921953822555385177356587220614519350302453898049763193393805274193470208604205228538663727388993074093556211916624055481059076865481029273381999728452130657955068847498660542724563468240797825130450356242735365519578310820970287137760139059057229328464821672785668996061844824734986373638119942461004299788602427115156828749952002526271101052238727550899977289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.212957866794404e-34,
            "status": "finite",
            "log2": -110.87072173839033
          },
          "trueMass": {
            "numerator": "461308118526184376182258178823580479424436306769562901741645988187904498559575344392395345828496026010732279824105833161888621703066309446119756320762449035013267875870761078622100802370448829340136480703144342196671598784461292724643989334668994886601568531669729891645161578122180130925600191898336806110948756285761893400796358836940729273952330052219333304972262792989581695622107610645956590395423723864720305461591222918789455398717774072945527846844956682882887970059827256012537",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.613081185261843e-12,
            "status": "finite",
            "log2": -37.6574064561421
          },
          "falseMass": {
            "numerator": "1368718051283257254125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.345077236994831e-129,
            "status": "finite",
            "log2": -426.7866847177516
          },
          "noiseInformation": 0.22174144347678065,
          "jointInformation": 1.2217414434767806,
          "informationDensity": 389.1292782616097,
          "difference": -0.24725415011250035,
          "margin": -0.22725415011250036,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "42129578667944036818914773941601111534519759458392231361728470314981727529425722507341556155883724734424080921953822555385177356587220614519350302453898049763193393805274193470208604205228538663727388993074093556211916624055481059076865481029273381999728452130657955068847498660542724563468240797825130450356242735365519578310820970287137760139059057229328464821672785668996061844824734986373638119942461004299788602427115156828749952002526271101052238727550899977289",
            "value": 7.251286293598929e-118,
            "status": "finite",
            "log2": -389.12927826160967
          }
        },
        {
          "k": 12,
          "count": "446202084718341864844750",
          "singleLikelihood": {
            "numerator": "4681064296438226313212752660177901281613306606488025706858718923886858614380635834149061795098191637158231213550424728376130817398580068279927811383766449973688154867252688163356511578358726518191932110341565950690212958228386784341873942336585931333303161347850883896538610962282524951496471199758347827817360303929502175367868996698570862237673228581036496091296976185444006871647192776263737568882495667144420955825235017425416661333614030122339137636394544441921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.681064296438226e-35,
            "status": "finite",
            "log2": -114.04064673983271
          },
          "trueMass": {
            "numerator": "8354802591085339257523120349804846460687013111493194775987588452736492585023420126217826818893872471083262401258805645043093926399978715524168920031586576967462518196326006201711381198487017686938027372734725308673052289096354523790774473505671796279561741184685108037573481914879484593430314586603211044009405252731020958258867387824593207961581088723527925412275426139700201820711504503921213803828229665549934421137707703973631247776777463765569004337303104367767859902194649192227059",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.088700647771335e-11,
            "status": "finite",
            "log2": -35.47860330335334
          },
          "falseMass": {
            "numerator": "223101042359170932422375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.3631189740753938e-127,
            "status": "finite",
            "log2": -421.4379565635205
          },
          "noiseInformation": 0.2280812934796654,
          "jointInformation": 1.2280812934796654,
          "informationDensity": 385.9593532601673,
          "difference": -0.24091430010961573,
          "margin": -0.22091430010961574,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4681064296438226313212752660177901281613306606488025706858718923886858614380635834149061795098191637158231213550424728376130817398580068279927811383766449973688154867252688163356511578358726518191932110341565950690212958228386784341873942336585931333303161347850883896538610962282524951496471199758347827817360303929502175367868996698570862237673228581036496091296976185444006871647192776263737568882495667144420955825235017425416661333614030122339137636394544441921",
            "value": 6.526157664239037e-117,
            "status": "finite",
            "log2": -385.9593532601673
          }
        },
        {
          "k": 13,
          "count": "16749739795580833080326000",
          "singleLikelihood": {
            "numerator": "520118255159802923690305851130877920179256289609780634095413213765206512708959537127673532788687959684247912616713858708458979710953340919991979042640716663743128318583632018150723508706525168687992456704618438965579217580931864926874882481842881259255906816427875988504290106920280550166274577750927536424151144881055797263096555188730095804185914286781832899032997353938222985738576975140415285431388407460491217313915001936157406814846003346926570848488282715769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.2011825515980294e-36,
            "status": "finite",
            "log2": -117.21057174127509
          },
          "trueMass": {
            "numerator": "4355922718429108501785558472975176359845365810265682746455067483905350834926740407686217401303642912274179542536642259381442132567510270486959864289972488846283877008340909216276873958185539135924954442195027725034668287477586546591771306699538286949173215489451210173435746981261953505976488801562357894739946328346942550887101800489745176800482447966967550855972658072835147957806852775548667025927538543577316236661539914037534240293875429826493241577568285183195209008836526501930347",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.711845436858217e-11,
            "status": "finite",
            "log2": -33.41823068537383
          },
          "falseMass": {
            "numerator": "1046858737223802067520375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.116938918067632e-126,
            "status": "finite",
            "log2": -416.20765894409874
          },
          "noiseInformation": 0.23442114348255016,
          "jointInformation": 1.23442114348255,
          "informationDensity": 382.7894282587249,
          "difference": -0.23457445010673109,
          "margin": -0.2145744501067311,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "520118255159802923690305851130877920179256289609780634095413213765206512708959537127673532788687959684247912616713858708458979710953340919991979042640716663743128318583632018150723508706525168687992456704618438965579217580931864926874882481842881259255906816427875988504290106920280550166274577750927536424151144881055797263096555188730095804185914286781832899032997353938222985738576975140415285431388407460491217313915001936157406814846003346926570848488282715769",
            "value": 5.873541897815134e-116,
            "status": "finite",
            "log2": -382.7894282587249
          }
        },
        {
          "k": 14,
          "count": "582651662889133265008483000",
          "singleLikelihood": {
            "numerator": "57790917239978102632256205681208657797695143289975626010601468196134056967662170791963725865409773298249768068523762078717664412328148991110219893626746295971458702064848002016747056522947240965332495189402048773953246397881318325208320275760320139917322979603097332056032234102253394462919397527880837380461238320117310807010728354303343978242879365197981433225888594882024776193175219460046142825709823051165690812657222437350822979427333705214063427609809190641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.77909172399781e-37,
            "status": "finite",
            "log2": -120.38049674271747
          },
          "trueMass": {
            "numerator": "33671974029761521275707412322839855353090367453958531706724093089871521533481310770526791657696414258373419638338806036805751088259960344875388157289152413780003938143841631560743454248196151733261155767444103207807673904787057907780835339090081678480116761005757767531162044124993196149373810259696322138704029554047000353682834552992157160346586542220844401061248960023344715165903766693526997486138274138446873131018570446607605952747894195642892200766281823558985187100053784229207603",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.367197402976152e-10,
            "status": "finite",
            "log2": -31.46773264679132
          },
          "falseMass": {
            "numerator": "72831457861141658126060375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.7799637522135262e-124,
            "status": "finite",
            "log2": -411.08723590407396
          },
          "noiseInformation": 0.24076099348543495,
          "jointInformation": 1.240760993485435,
          "informationDensity": 379.61950325728253,
          "difference": -0.22823460010384647,
          "margin": -0.20823460010384648,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "57790917239978102632256205681208657797695143289975626010601468196134056967662170791963725865409773298249768068523762078717664412328148991110219893626746295971458702064848002016747056522947240965332495189402048773953246397881318325208320275760320139917322979603097332056032234102253394462919397527880837380461238320117310807010728354303343978242879365197981433225888594882024776193175219460046142825709823051165690812657222437350822979427333705214063427609809190641",
            "value": 5.28618770803362e-115,
            "status": "finite",
            "log2": -379.61950325728253
          }
        },
        {
          "k": 15,
          "count": "18877913877607917786274849200",
          "singleLikelihood": {
            "numerator": "6421213026664233625806245075689850866410571476663958445622385355126006329740241199107080651712197033138863118724862453190851601369794332345579988180749588441273189118316444668527450724771915662814721687711338752661471821986813147245368919528924459990813664400344148006225803789139266051435488614208981931162359813346367867445636483811482664249208818355331270358432066098002752910352802162227349202856647005685076756961913604150091442158592633912673714178867687849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.421213026664234e-38,
            "status": "finite",
            "log2": -123.55042174415962
          },
          "trueMass": {
            "numerator": "303047766267853691481366710905558698177813307085626785360516837808843693801331796934741124919267728325360776745049254331251759794339643103878493415602371724020035443294574684046691088233765365599350401906996928870269065143083521170027518051810735106321050849051819907780458397124938765344364292337266899248336265986423003183145510976929414443119278879987599609551240640210102436493133900241742977375244467246021858179167134019468453574731047760786029806896536412030866683900484058062868427",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2121910650714149e-9,
            "status": "finite",
            "log2": -29.619735740236365
          },
          "falseMass": {
            "numerator": "1179869617350494861642178075",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.767082557171825e-123,
            "status": "finite",
            "log2": -406.06931399607674
          },
          "noiseInformation": 0.24710084348831923,
          "jointInformation": 1.2471008434883193,
          "informationDensity": 376.4495782558404,
          "difference": -0.22189475010096188,
          "margin": -0.2018947501009619,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6421213026664233625806245075689850866410571476663958445622385355126006329740241199107080651712197033138863118724862453190851601369794332345579988180749588441273189118316444668527450724771915662814721687711338752661471821986813147245368919528924459990813664400344148006225803789139266051435488614208981931162359813346367867445636483811482664249208818355331270358432066098002752910352802162227349202856647005685076756961913604150091442158592633912673714178867687849",
            "value": 4.757568937230258e-114,
            "status": "finite",
            "log2": -376.4495782558404
          }
        },
        {
          "k": 16,
          "count": "572236764414990007896456366375",
          "singleLikelihood": {
            "numerator": "713468114073803736200693897298872318490063497407106493958042817236222925526693466567453405745799670348762568747206939243427955707754925816175554242305509826808132124257382740947494524974657295868302409745704305851274646887423683027263213280991606665645962711149349778469533754348807339048387623800997992351373312594040874160626275979053629361023202039481252262048007344222528101150311351358594355872960778409452972995768178238899049128732514879185968242096409761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.134681140738038e-39,
            "status": "finite",
            "log2": -126.720346745602
          },
          "trueMass": {
            "numerator": "3266181480886867563743618995315465969249765643033977575552237029717537588747687144741098790796552183062221704918864185570157855561216153452912651257047784136660381999952638261392115062075026718126332109442078011157344368764344617054741027891737922812571325817558503450522718280124340026489259595190543247454290866742559034307234951640239244553618894595421906902941149122264437371092665369272118756155412591429346693708801333320937777416545736977360543474329336885221563148705217070233137491",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.082726851108585e-9,
            "status": "finite",
            "log2": -27.867819804604324
          },
          "falseMass": {
            "numerator": "572236764414990007896456366375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.7481469001427094e-121,
            "status": "finite",
            "log2": -401.1474730590022
          },
          "noiseInformation": 0.253440693491204,
          "jointInformation": 1.253440693491204,
          "informationDensity": 373.279653254398,
          "difference": -0.21555490009807723,
          "margin": -0.19555490009807724,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "713468114073803736200693897298872318490063497407106493958042817236222925526693466567453405745799670348762568747206939243427955707754925816175554242305509826808132124257382740947494524974657295868302409745704305851274646887423683027263213280991606665645962711149349778469533754348807339048387623800997992351373312594040874160626275979053629361023202039481252262048007344222528101150311351358594355872960778409452972995768178238899049128732514879185968242096409761",
            "value": 4.281812043507232e-113,
            "status": "finite",
            "log2": -373.279653254398
          }
        },
        {
          "k": 17,
          "count": "16291917292756186107169698901500",
          "singleLikelihood": {
            "numerator": "79274234897089304022299321922096924276673721934122943773115868581802547280743718507494822860644407816529174305245215471491995078639436201797283804700612202978681347139709193438610502774961921763144712193967145094586071876380409225251468142332400740627329190127705530941059306038756371005376402644555332483485923621560097128958475108783736595669244671053472473560889704913614233461145705706510483985884530934383663666196464248766561014303612764353996471344045529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.92742348970893e-40,
            "status": "finite",
            "log2": -129.89027174704438
          },
          "trueMass": {
            "numerator": "2583058556779810295509659466883473086792298319000727363672030592129555870839674147148189239780279831049208015001193244797314382502661140966028959490867855428339256352903720455087881846477635509106445655179682610130971690329971886690350747548367899740660983162905744558910123607157157798726800072013436163019406502456533615367159667637051951575084223830366344674875026430026123672563480455437427251600032180150006208750097786482571706322889112250069449414338887340600059745054452715674572787",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2915292783899053e-8,
            "status": "finite",
            "log2": -26.20634441002221
          },
          "falseMass": {
            "numerator": "4072979323189046526792424725375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.97707705687689e-120,
            "status": "finite",
            "log2": -396.316072662978
          },
          "noiseInformation": 0.25978054349408874,
          "jointInformation": 1.2597805434940887,
          "informationDensity": 370.1097282529556,
          "difference": -0.20921505009519262,
          "margin": -0.18921505009519263,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "79274234897089304022299321922096924276673721934122943773115868581802547280743718507494822860644407816529174305245215471491995078639436201797283804700612202978681347139709193438610502774961921763144712193967145094586071876380409225251468142332400740627329190127705530941059306038756371005376402644555332483485923621560097128958475108783736595669244671053472473560889704913614233461145705706510483985884530934383663666196464248766561014303612764353996471344045529",
            "value": 3.8536308391565093e-112,
            "status": "finite",
            "log2": -370.1097282529556
          }
        },
        {
          "k": 18,
          "count": "437166447355624327209053587190250",
          "singleLikelihood": {
            "numerator": "8808248321898811558033257991344102697408191326013660419235096509089171920082635389721646984516045312947686033916135052387999453182159577977475978300068022553186816348856577048734500308329102418127190243774127232731785764042267691694607571370266748958592132236411725660117700670972930111708489182728370275942880402395566347662052789864859621741027185672608052617876633879290470384571745078501164887320503437153740407355162694307395668255956973817110719038227281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.808248321898811e-41,
            "status": "finite",
            "log2": -133.06019674848653
          },
          "trueMass": {
            "numerator": "15402682505242572502853895339564413591613334420708040946340626864179944266858797692254017318689816770330462607970078237495096873441794210945580091778878693480097047141388851602561073232699974702449546314219588897447646005300943472486906309455082661416534010712141661999427033361196385392407955984969008231337942477611181928670840981095013489021798519877369684913143676119785404121582235308349103241022414111264851837361694208284964619184635076750414124285502254142096652553843218045318748841",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.8506706263106434e-8,
            "status": "finite",
            "log2": -24.630315034071145
          },
          "falseMass": {
            "numerator": "218583223677812163604526793595125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.3355156769286322e-118,
            "status": "finite",
            "log2": -391.5701182855845
          },
          "noiseInformation": 0.2661203934969731,
          "jointInformation": 1.2661203934969731,
          "informationDensity": 366.9398032515134,
          "difference": -0.20287520009230797,
          "margin": -0.18287520009230798,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8808248321898811558033257991344102697408191326013660419235096509089171920082635389721646984516045312947686033916135052387999453182159577977475978300068022553186816348856577048734500308329102418127190243774127232731785764042267691694607571370266748958592132236411725660117700670972930111708489182728370275942880402395566347662052789864859621741027185672608052617876633879290470384571745078501164887320503437153740407355162694307395668255956973817110719038227281",
            "value": 3.468267755240858e-111,
            "status": "finite",
            "log2": -366.93980325151347
          }
        },
        {
          "k": 19,
          "count": "11090222506600575037619148896089500",
          "singleLikelihood": {
            "numerator": "978694257988756839781473110149344744156465702890406713248344056565463546675848376635738553835116145883076225990681672487555494798017730886386219811118669172576312927650730783192722256481011379791910027086014136970198418226918632410511952374474083217621348026267969517790855630108103345745387686969818919549208933599507371962450309984984402415669687296956450290875181542143385598285749453166796098591167048572637823039462521589710629806217441535234524337580809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.786942579887569e-42,
            "status": "finite",
            "log2": -136.2301217499289
          },
          "trueMass": {
            "numerator": "21707874174055321480630343724181425003384874826845835485778310375832553031070001425925252478387402582746441453337946521849814891809780145250788316483682837009961335444881363954486658766553765516317781647525853358391126826184370624966926436132601879540261383518281523636619386199113034383452148493435853706154644076633303186021477640022796788621365165441205228444839917806247265457902448592468619187639776612952218086574083650272961831716357037993273707326351130106697621435533424262700692811",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0853937087027661e-7,
            "status": "finite",
            "log2": -23.135278212727144
          },
          "falseMass": {
            "numerator": "2772555626650143759404787224022375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 3.3879924014715824e-117,
            "status": "finite",
            "log2": -386.9051564627981
          },
          "noiseInformation": 0.2724602434998578,
          "jointInformation": 1.2724602434998578,
          "informationDensity": 363.76987825007114,
          "difference": -0.19653535008942336,
          "margin": -0.17653535008942337,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "978694257988756839781473110149344744156465702890406713248344056565463546675848376635738553835116145883076225990681672487555494798017730886386219811118669172576312927650730783192722256481011379791910027086014136970198418226918632410511952374474083217621348026267969517790855630108103345745387686969818919549208933599507371962450309984984402415669687296956450290875181542143385598285749453166796098591167048572637823039462521589710629806217441535234524337580809",
            "value": 3.121440979716772e-110,
            "status": "finite",
            "log2": -363.7698782500711
          }
        },
        {
          "k": 20,
          "count": "266719851283743829654740530950952475",
          "singleLikelihood": {
            "numerator": "108743806443195204420163678905482749350718411432267412583149339618384838519538708515082061537235127320341802887853519165283943866446414542931802201235407685841812547516747864799191361831223486643545558565112681885577602025213181378945772486052675913069038669585329946421206181123122593971709742996646546616578770399945263551383367776109378046185520810772938921208353504682598399809527717018532899843463005396959758115495835732190069978468604615026058259731201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.087438064431952e-42,
            "status": "finite",
            "log2": -139.4000467513713
          },
          "trueMass": {
            "numerator": "1160165275302289959131466147925696158514236087968094096517707476752828667549407853985560715789371182477893148783950253001084551440056027762847686692072382733532378038776437340234231429634706801483205885828881718376236889266075807845454623975531278228762858385810379207690436084641485504271164825038071736962264866762290981386258971650107250591875182730802190542440888940533881631694564196997489536583859172314446322182459359531254960117285303919418294802663877064591283990054619674484337026899",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.900413188255725e-7,
            "status": "finite",
            "log2": -21.717238225286792
          },
          "falseMass": {
            "numerator": "266719851283743829654740530950952475",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.148121725539156e-116,
            "status": "finite",
            "log2": -382.31719147391544
          },
          "noiseInformation": 0.2788000935027426,
          "jointInformation": 1.2788000935027426,
          "informationDensity": 360.5999532486287,
          "difference": -0.1901955000865387,
          "margin": -0.17019550008653872,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "108743806443195204420163678905482749350718411432267412583149339618384838519538708515082061537235127320341802887853519165283943866446414542931802201235407685841812547516747864799191361831223486643545558565112681885577602025213181378945772486052675913069038669585329946421206181123122593971709742996646546616578770399945263551383367776109378046185520810772938921208353504682598399809527717018532899843463005396959758115495835732190069978468604615026058259731201",
            "value": 2.8092968817450953e-109,
            "status": "finite",
            "log2": -360.5999532486287
          }
        },
        {
          "k": 21,
          "count": "6096453743628430392108354993164628000",
          "singleLikelihood": {
            "numerator": "12082645160355022713351519878386972150079823492474156953683259957598315391059856501675784615248347480037978098650391018364882651827379393659089133470600853982423616390749762755465706870135942960393950951679186876175289113912575708771752498450297323674337629953925549602356242347013621552412193666294060735175418933327251505709263086234375338465057867863659880134261500520288711089947524113170322204829222821884417568388426192465563330940956068336228695525689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2082645160355022e-43,
            "status": "finite",
            "log2": -142.56997175281344
          },
          "trueMass": {
            "numerator": "18415321830195078716372478538503113627210096634414192008217578996076645516657267523580328822053510832982430933078575444461659546667555996235677566540831471960831397440895830797368752851344552404495331521093360609146617289937711235642136888500496479821632672790640939804610096581610881020177219445048757729559759789877634625178713835715988104632939408425431595911760141913236216376104193603134754548950145592292798764800942214781824763766433395546322139724823445469702920477057455150545032173",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.366128732078031e-7,
            "status": "finite",
            "log2": -20.37259005389933
          },
          "falseMass": {
            "numerator": "190514179488388449753386093536394625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.8624278229803788e-114,
            "status": "finite",
            "log2": -377.8026183010857
          },
          "noiseInformation": 0.2851399435056269,
          "jointInformation": 1.285139943505627,
          "informationDensity": 357.43002824718656,
          "difference": -0.18385565008365412,
          "margin": -0.16385565008365413,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12082645160355022713351519878386972150079823492474156953683259957598315391059856501675784615248347480037978098650391018364882651827379393659089133470600853982423616390749762755465706870135942960393950951679186876175289113912575708771752498450297323674337629953925549602356242347013621552412193666294060735175418933327251505709263086234375338465057867863659880134261500520288711089947524113170322204829222821884417568388426192465563330940956068336228695525689",
            "value": 2.5283671935705856e-108,
            "status": "finite",
            "log2": -357.43002824718656
          }
        },
        {
          "k": 22,
          "count": "132736424690819007173631910987538946000",
          "singleLikelihood": {
            "numerator": "1342516128928335857039057764265219127786647054719350772631473328622035043451095166852864957249816386670886455405599002040542516869708821517676570385622317109158179598972195861718411874459549217821550105742131875130587679323619523196861388716699702630481958883769505511372915816334846839156910407366006748352824325925250167301029231803819482051673096429295542237140166724476523454438613790352258022758802535764935285376491799162840370104550674259580966169521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3425161289283358e-44,
            "status": "finite",
            "log2": -145.73989675425582
          },
          "trueMass": {
            "numerator": "89100395521852956617600173938818095226602386746307050221577983223441547499786173169646237431955875646450347645905430685829645685391508305019086407808669445143820599739283868201410430462566066684376402006098179108901309917981451332046298682744826402369313639057747577438467032955470828370352405193720757095546716559104919045056605326343013152718969460967492267088213211883233814587413219554561085140879997360689400084238902231116101634789107035017053585133236670504926251601116373910212832433",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0000017820079104370592,
            "status": "finite",
            "log2": -19.09806482824274
          },
          "falseMass": {
            "numerator": "8296026543176187948351994436721184125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.055013305489097e-113,
            "status": "finite",
            "log2": -373.3581680739868
          },
          "noiseInformation": 0.29147979350851166,
          "jointInformation": 1.2914797935085116,
          "informationDensity": 354.2601032457442,
          "difference": -0.17751580008076948,
          "margin": -0.15751580008076949,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1342516128928335857039057764265219127786647054719350772631473328622035043451095166852864957249816386670886455405599002040542516869708821517676570385622317109158179598972195861718411874459549217821550105742131875130587679323619523196861388716699702630481958883769505511372915816334846839156910407366006748352824325925250167301029231803819482051673096429295542237140166724476523454438613790352258022758802535764935285376491799162840370104550674259580966169521",
            "value": 2.2755304742135272e-107,
            "status": "finite",
            "log2": -354.2601032457442
          }
        },
        {
          "k": 23,
          "count": "2758609174009195018652002324001896356000",
          "singleLikelihood": {
            "numerator": "149168458769815095226561973807246569754071894968816752514608147624670560383455018539207217472201820741209606156177666893393612985523202390852952265069146345462019955441355095746490208273283246424616678415792430570065297702624391466317932079633300292275773209307722834596990646259427426572990045262889638705869369547250018589003247978202164672408121825477282470793351858275169272715401532261362002528755837307215031708499088795871152233838963806620107352169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.491684587698151e-45,
            "status": "finite",
            "log2": -148.9098217556982
          },
          "trueMass": {
            "numerator": "102874369708806070684089089716799636517671354745736159434575545847355216678497079166886235489069827437205956943823178424701861443519664178258751939450589359368952286655501664251870013915716376509980483475639926603997164591292593566952006691671562851044763090506288265738133434185302067538716062035262130173119155833942394452988061222202802625603061358315123921903782404058419718291747630306957001684397678112100321836391776005974629423742012470382008728728712870776219198708535330263482449041",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000004114974788352243,
            "status": "finite",
            "log2": -17.89068497776134
          },
          "falseMass": {
            "numerator": "86206536687787344332875072625059261125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 8.427375478364298e-112,
            "status": "finite",
            "log2": -368.9808632220631
          },
          "noiseInformation": 0.2978196435113964,
          "jointInformation": 1.2978196435113964,
          "informationDensity": 351.0901782443018,
          "difference": -0.17117595007788486,
          "margin": -0.15117595007788487,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "149168458769815095226561973807246569754071894968816752514608147624670560383455018539207217472201820741209606156177666893393612985523202390852952265069146345462019955441355095746490208273283246424616678415792430570065297702624391466317932079633300292275773209307722834596990646259427426572990045262889638705869369547250018589003247978202164672408121825477282470793351858275169272715401532261362002528755837307215031708499088795871152233838963806620107352169",
            "value": 2.0479774267921742e-106,
            "status": "finite",
            "log2": -351.0901782443018
          }
        },
        {
          "k": 24,
          "count": "54827357333432750995708546189537690075500",
          "singleLikelihood": {
            "numerator": "16574273196646121691840219311916285528230210552090750279400905291630062264828335393245246385800202304578845128464185210377068109502578043428105807229905149495779995049039455082943356474809249602735186490643603396673921966958265718479770231070366699141752578811969203844110071806603047396998893918098848745096596616361113176555916442022462741378680202830809163421483539808352141412822392473484666947639537478579447967611009866207905803759884867402234150241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6574273196646122e-46,
            "status": "finite",
            "log2": -152.07974675714058
          },
          "trueMass": {
            "numerator": "1817447198188907248752240584996793578478860600508005483344167976636608827986781731948323493640233618057305239340876152169732885502180733815904617596960412015518157064247196068449703579177655985009655208069638703337283241112835819682818784886197610368457481265611092694707024003940336526517317095956297633058438419732982302002789081592249513052320750663567189286966822471698748356487541468756240363091025646647105685776254709438885119819442220310082154207540594050379872510517457501321523266391",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000009087235990944537,
            "status": "finite",
            "log2": -16.747727023919197
          },
          "falseMass": {
            "numerator": "13706839333358187748927136547384422518875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.674940876324904e-110,
            "status": "finite",
            "log2": -364.6679802667787
          },
          "noiseInformation": 0.3041594935142812,
          "jointInformation": 1.3041594935142813,
          "informationDensity": 347.9202532428594,
          "difference": -0.1648361000750002,
          "margin": -0.14483610007500022,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16574273196646121691840219311916285528230210552090750279400905291630062264828335393245246385800202304578845128464185210377068109502578043428105807229905149495779995049039455082943356474809249602735186490643603396673921966958265718479770231070366699141752578811969203844110071806603047396998893918098848745096596616361113176555916442022462741378680202830809163421483539808352141412822392473484666947639537478579447967611009866207905803759884867402234150241",
            "value": 1.843179684112957e-105,
            "status": "finite",
            "log2": -347.9202532428594
          }
        },
        {
          "k": 25,
          "count": "1043912883628559578958290719448797619037520",
          "singleLikelihood": {
            "numerator": "1841585910738457965760024367990698392025578950232305586600100587958895807203148377027249598422244700508760569829353912264118678833619782603122867469989461055086666116559939453660372941645472178081687387849289266297102440773140635386641136785596299904639175423552133760456674645178116377444321546455427638344066290706790352950657382446940304597631133647867684824609282200928015712535821385942740771959948608731049774179001096245322867084431651933581572249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.841585910738458e-47,
            "status": "finite",
            "log2": -155.24967175858274
          },
          "trueMass": {
            "numerator": "24030690731608884733501847734957603982109379051161405835328443246639605614491891789094499527020866727646591497951584678688690374973278591565849943782032114427406743405046259127279413991349006912905441084476333966348522854714162504695048377939723959316271141178635558963348428496544449628395637157644379814883796883136099326481322301053076894802907703218277280572116874903572339380224159420221400356425783550111730734152701158136369917612624912988864038966370076888356092083508604739695696522281",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00001922455258528711,
            "status": "finite",
            "log2": -15.666690451828345
          },
          "falseMass": {
            "numerator": "65244555226784973684893169965549851189845",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.1890874285226175e-109,
            "status": "finite",
            "log2": -360.4170186932455
          },
          "noiseInformation": 0.31049934351716546,
          "jointInformation": 1.3104993435171655,
          "informationDensity": 344.75032824141726,
          "difference": -0.15849625007211562,
          "margin": -0.13849625007211563,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1841585910738457965760024367990698392025578950232305586600100587958895807203148377027249598422244700508760569829353912264118678833619782603122867469989461055086666116559939453660372941645472178081687387849289266297102440773140635386641136785596299904639175423552133760456674645178116377444321546455427638344066290706790352950657382446940304597631133647867684824609282200928015712535821385942740771959948608731049774179001096245322867084431651933581572249",
            "value": 1.658861715701661e-104,
            "status": "finite",
            "log2": -344.75032824141726
          }
        },
        {
          "k": 26,
          "count": "19071485373983300000199541989929956501647000",
          "singleLikelihood": {
            "numerator": "204620656748717551751113818665633154669508772248033954066677843106543978578127597447472177602471633389862285536594879140457630981513309178124763052221051228342962901839993272628930326849496908675743043094365474033011382308126737265182348531732922211626575047061348195606297182797568486382702394050603070927118476745198928105628598049660033844181237071985298313845475800103112856948424598438082307995549845414561086019889010693924763009381294659286841361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0462065674871754e-48,
            "status": "finite",
            "log2": -158.41959676002512
          },
          "trueMass": {
            "numerator": "3902419862398024016551582110805080988547676939932194110010601894753440227994409777716200777892277502780215713342565033291325787388823019143172213092808633966843830125605802764259050135347274626882080176111541413338649010594607586232529223767989360914608134037556201882936924285763628572132624837566181337459761887005007582932864305299217615395343985992711695135642911309127132036104778025506039374120426388479682768794028393201632721663588661083661681541547277443408254269971482820976224221567",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00003902419862398024,
            "status": "finite",
            "log2": -14.645271468193414
          },
          "falseMass": {
            "numerator": "2383935671747912500024942748741244562705875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.826217417493244e-108,
            "status": "finite",
            "log2": -356.2256747081683
          },
          "noiseInformation": 0.31683919352005024,
          "jointInformation": 1.3168391935200503,
          "informationDensity": 341.5804032399748,
          "difference": -0.15215640006923098,
          "margin": -0.132156400069231,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "204620656748717551751113818665633154669508772248033954066677843106543978578127597447472177602471633389862285536594879140457630981513309178124763052221051228342962901839993272628930326849496908675743043094365474033011382308126737265182348531732922211626575047061348195606297182797568486382702394050603070927118476745198928105628598049660033844181237071985298313845475800103112856948424598438082307995549845414561086019889010693924763009381294659286841361",
            "value": 1.492975544131495e-103,
            "status": "finite",
            "log2": -341.5804032399749
          }
        },
        {
          "k": 27,
          "count": "334810521009929044447947514934325903028914000",
          "singleLikelihood": {
            "numerator": "22735628527635283527901535407292572741056530249781550451853093678504886508680844160830241955830181487762476170732764348939736775723701019791640339135672358704773655759999252514325591872166323186193671454929497114779042478680748585020260947970324690180730560784594243956255242533063165153633599338955896769679830749466547567292066449962225982686804119109477590427275088900345872994269399826453589777283316157173454002209890077102751445486810517698537929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.2735628527635284e-49,
            "status": "finite",
            "log2": -161.5895217614675
          },
          "trueMass": {
            "numerator": "3806063816412887621081172675970387630805758990798065860380710489944713308784671264686171129055431144686877053753859723827342434613790352003834627584344223251613118270652573066376110625832527105230670789047058909305595948604617275461355662687298265583383241839098024058666876772534897002450337804539855872337298630535748136440694816279483847113977467820052147107602345597790659640151573629814532229080415860369073317712694358801592407548438323772953985701015245901595704781824038800705206339553",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00007612127632825775,
            "status": "finite",
            "log2": -13.68134072290104
          },
          "falseMass": {
            "numerator": "20925657563120565277996719683395368939307125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.0228248355154805e-106,
            "status": "finite",
            "log2": -352.0918189614335
          },
          "noiseInformation": 0.323179043522935,
          "jointInformation": 1.323179043522935,
          "informationDensity": 338.41047823853256,
          "difference": -0.14581655006634636,
          "margin": -0.12581655006634637,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "22735628527635283527901535407292572741056530249781550451853093678504886508680844160830241955830181487762476170732764348939736775723701019791640339135672358704773655759999252514325591872166323186193671454929497114779042478680748585020260947970324690180730560784594243956255242533063165153633599338955896769679830749466547567292066449962225982686804119109477590427275088900345872994269399826453589777283316157173454002209890077102751445486810517698537929",
            "value": 1.3436779897183455e-102,
            "status": "finite",
            "log2": -338.4104782385325
          }
        },
        {
          "k": 28,
          "count": "5655906301346301357995684805854862576167011500",
          "singleLikelihood": {
            "numerator": "2526180947515031503100170600810285860117392249975727827983677075389431834297871573425582439536686831973608463414751594326637419524855668865737815459519150967197072862222139168258399096907369242910407939436610790531004719853416509446695660885591632242303395642732693772917249170340351683737066593217321863297758972162949729699118494440247331409644902123275287825252787655593985888252155536272621086364812906352606000245543341900305716165201168633170881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5261809475150315e-50,
            "status": "finite",
            "log2": -164.75944676290965
          },
          "trueMass": {
            "numerator": "28575685478782473726530074217999894434462285756309288126350413678473799921510309653913634032432046530744330895644057926513221770989251372981171092815790755524015951460613762863426989301885481282128687035226331176215029899841015417352717911922096501919686879204656593329356074816015972732682694945196060755802257972117601087880137271431680312458910194902931199712633483615158444599868163919083710227857725427850344115525467170050050932863671859438210083120320814467536005742901116710056549184263",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00014287842739391237,
            "status": "finite",
            "log2": -12.772924273061562
          },
          "falseMass": {
            "numerator": "1413976575336575339498921201463715644041752875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.7278433828529369e-105,
            "status": "finite",
            "log2": -348.0134775101517
          },
          "noiseInformation": 0.3295188935258193,
          "jointInformation": 1.3295188935258193,
          "informationDensity": 335.24055323709035,
          "difference": -0.13947670006346172,
          "margin": -0.11947670006346171,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2526180947515031503100170600810285860117392249975727827983677075389431834297871573425582439536686831973608463414751594326637419524855668865737815459519150967197072862222139168258399096907369242910407939436610790531004719853416509446695660885591632242303395642732693772917249170340351683737066593217321863297758972162949729699118494440247331409644902123275287825252787655593985888252155536272621086364812906352606000245543341900305716165201168633170881",
            "value": 1.209310190746511e-101,
            "status": "finite",
            "log2": -335.24055323709035
          }
        },
        {
          "k": 29,
          "count": "92054750835705318654274594081499832274166532000",
          "singleLikelihood": {
            "numerator": "280686771946114611455574511201142873346376916663969758664853008376603537144207952602842493281854092441512051490527954925181935502761740985081979495502127885244119206913571018695377677434152138101156437715178976725667191094824056605188406765065736915811488404748077085879694352260039075970785177024146873699750996906994414411013166048916370156627211347030587536139198628399331765361350615141402342929423656261400666693949260211145079573911240959241209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.806867719461146e-51,
            "status": "finite",
            "log2": -167.92937176435203
          },
          "trueMass": {
            "numerator": "6459637713594505555039365436252849699744348121158038312086875122720131016739878427513043708480807453310021160318005431663908369687225406152831779602036990712325444966192383176023725551000932550366254923671852641366615954370191224612300217637562044495254888402585206921195434536953802265242448282630527144031928047336928981551448655227851105115232572794149198402472703192698652227556404870597467063002321073728621849869741620815911896700983293895993850207275586412201625819276497647100905754297",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00025838550854378025,
            "status": "finite",
            "log2": -11.918187220269601
          },
          "falseMass": {
            "numerator": "2876710963615791207946081065046869758567704125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.812214057608918e-104,
            "status": "finite",
            "log2": -343.98881545591746
          },
          "noiseInformation": 0.33585874352870404,
          "jointInformation": 1.335858743528704,
          "informationDensity": 332.070628235648,
          "difference": -0.13313685006057713,
          "margin": -0.11313685006057712,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "280686771946114611455574511201142873346376916663969758664853008376603537144207952602842493281854092441512051490527954925181935502761740985081979495502127885244119206913571018695377677434152138101156437715178976725667191094824056605188406765065736915811488404748077085879694352260039075970785177024146873699750996906994414411013166048916370156627211347030587536139198628399331765361350615141402342929423656261400666693949260211145079573911240959241209",
            "value": 1.0883791716718599e-100,
            "status": "finite",
            "log2": -332.070628235648
          }
        },
        {
          "k": 30,
          "count": "1445259588120573502872111127079547366704414552400",
          "singleLikelihood": {
            "numerator": "31187419105123845717286056800126985927375212962663306518317000930733726349356439178093610364650454715723561276725328325020215055862415665009108832833569765027124356323730113188375297492683570900128493079464330747296354566091561845020934085007304101756832044972008565097743816917782119552309464113794097077750110767443823823445907338768485572958579038558954170682133180933259085040150068349044704769935961806822296299327695579016119952656804551026801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1187419105123845e-52,
            "status": "finite",
            "log2": -171.0992967657944
          },
          "trueMass": {
            "numerator": "112684791226037485793464485943521933651095850557979112777515488251895618847573434791060873581276307796630369129991872530137068226766043196221621044168867504648343873299133795403969434611905156711944669224053429410506522759568891362681237129899693442861668608800653054069742580255749661738118264485888084623668078159099761122619715430085847055899057103186824905465357155694854266636261729409311369876818267619488181158838826052010907531339375237963448275838029674079517250402934458954982467047181",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00045073916490415,
            "status": "finite",
            "log2": -11.115419567707477
          },
          "falseMass": {
            "numerator": "90328724257535843929506945442471710419025909525",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.415176070446001e-103,
            "status": "finite",
            "log2": -340.0161228019132
          },
          "noiseInformation": 0.3421985935315888,
          "jointInformation": 1.3421985935315888,
          "informationDensity": 328.9007032342056,
          "difference": -0.12679700005769248,
          "margin": -0.10679700005769248,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "31187419105123845717286056800126985927375212962663306518317000930733726349356439178093610364650454715723561276725328325020215055862415665009108832833569765027124356323730113188375297492683570900128493079464330747296354566091561845020934085007304101756832044972008565097743816917782119552309464113794097077750110767443823823445907338768485572958579038558954170682133180933259085040150068349044704769935961806822296299327695579016119952656804551026801",
            "value": 9.79541254504674e-100,
            "status": "finite",
            "log2": -328.9007032342056
          }
        },
        {
          "k": 31,
          "count": "21912000206989340204835233217012492333905639988000",
          "singleLikelihood": {
            "numerator": "3465268789458205079698450755569665103041690329184811835368555658970414038817382130899290040516717190635951252969480925002246117318046185001012092537063307225236039591525568132041699721409285655569832564384925638588483840676840205002326009445256011306314671663556507233082646324198013283589940457088233008638901196382647091493989704307609508106508782062106018964681464548139898337794452038782744974437329089646921811036410619890679994739644950114089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.4652687894582053e-53,
            "status": "finite",
            "log2": -174.2692217672368
          },
          "trueMass": {
            "numerator": "18982742607970472517178605158944555131188189878942717923094006981502129339913804427167960782508912066099022756665297522998000740709691864596473795971099543793807032419567341878088040956127391990901073310145201370228697382436336537799348190341525418689958511159966643517125094164947075633303076813034910312947669080565192733918016577828081762104859081898855808447569126586588353160947316423790804244481930387512345929983601521306496967644984359083448275858019335776836239315189675881305290147733",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000759309704318819,
            "status": "finite",
            "log2": -10.363023932971828
          },
          "falseMass": {
            "numerator": "684750006468416881401101038031640385434551249625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 6.69397662293426e-102,
            "status": "finite",
            "log2": -336.09380216573504
          },
          "noiseInformation": 0.34853844353447355,
          "jointInformation": 1.3485384435344736,
          "informationDensity": 325.7307782327632,
          "difference": -0.12045715005480787,
          "margin": -0.10045715005480786,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3465268789458205079698450755569665103041690329184811835368555658970414038817382130899290040516717190635951252969480925002246117318046185001012092537063307225236039591525568132041699721409285655569832564384925638588483840676840205002326009445256011306314671663556507233082646324198013283589940457088233008638901196382647091493989704307609508106508782062106018964681464548139898337794452038782744974437329089646921811036410619890679994739644950114089",
            "value": 8.815871290542065e-99,
            "status": "finite",
            "log2": -325.7307782327632
          }
        },
        {
          "k": 32,
          "count": "321147753033687517377116386836839340768804536074125",
          "singleLikelihood": {
            "numerator": "385029865495356119966494528396629455893521147687201315040950628774490448757486903433254448946301910070661250329942325000249568590894020555668010281895923025026226621280618681337966635712142850618870284931658404287609315630760022778036223271695112367368296851506278581453627369355334809287771161898692556515433466264738565721554411589734389789612086895789557662742384949793322037532716893198082774937481009960769090115156735543408888304404994457121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.8502986549535614e-54,
            "status": "finite",
            "log2": -177.43914676867894
          },
          "trueMass": {
            "numerator": "989211809237572401172973979949444039614140117024903856214565474924944295602174919593530400777408862111160185875113837587340260821427276055082912256716187337699499800530787037869254578713749649303622598050899938070806563595849092914210477918908380151732282414891595089947963240373353163557682558368152548530272977642786154689727752777930038491908767712284819351323324485456659736942699044750876354518002816860365582351367679276971897536166407156681915708601229831037355137647106443148020119920753",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0012365147615469654,
            "status": "finite",
            "log2": -9.659504821898736
          },
          "falseMass": {
            "numerator": "321147753033687517377116386836839340768804536074125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 9.810859487988024e-101,
            "status": "finite",
            "log2": -332.2203580532197
          },
          "noiseInformation": 0.3548782935373579,
          "jointInformation": 1.3548782935373578,
          "informationDensity": 322.56085323132106,
          "difference": -0.11411730005192323,
          "margin": -0.09411730005192323,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "385029865495356119966494528396629455893521147687201315040950628774490448757486903433254448946301910070661250329942325000249568590894020555668010281895923025026226621280618681337966635712142850618870284931658404287609315630760022778036223271695112367368296851506278581453627369355334809287771161898692556515433466264738565721554411589734389789612086895789557662742384949793322037532716893198082774937481009960769090115156735543408888304404994457121",
            "value": 7.934284161487859e-98,
            "status": "finite",
            "log2": -322.56085323132106
          }
        },
        {
          "k": 33,
          "count": "4554459043023204791893650576958812469084864329778500",
          "singleLikelihood": {
            "numerator": "42781096166150679996277169821847717321502349743022368337883403197165605417498544825917160994033545563406805592215813888916618732321557839518667809099547002780691846808957631259774070634682538957652253881295378254178812847862224753115135919077234707485366316834030953494847485483926089920863462433188061835048162918304285080172712398859376643290231877309950851415820549977035781948079654799786974993053445551196565568350748393712098700489443828569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.278109616615068e-55,
            "status": "finite",
            "log2": -180.60907177012132
          },
          "trueMass": {
            "numerator": "389689500608740642886323083010387045908600652161325761539071247697705328570553756203511976063827733558941891405347875413194648202380442082305389676888195011821015072936370651281827561311477134574154356807930278633954100810486006299537460998357846726439990042230022308161318852268290640189390098751090397905865112404733939726256387457972439405903453947263716714157673282149593229704699623689739169961637473308628865774781206987898020241520099788995906188236848115257139902709466174573462471483933",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0019484475030437031,
            "status": "finite",
            "log2": -9.003459223116124
          },
          "falseMass": {
            "numerator": "1138614760755801197973412644239703117271216082444625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.3913582546601198e-99,
            "status": "finite",
            "log2": -328.3943874529947
          },
          "noiseInformation": 0.3612181435402426,
          "jointInformation": 1.3612181435402426,
          "informationDensity": 319.3909282298787,
          "difference": -0.10777745004903862,
          "margin": -0.08777745004903861,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "42781096166150679996277169821847717321502349743022368337883403197165605417498544825917160994033545563406805592215813888916618732321557839518667809099547002780691846808957631259774070634682538957652253881295378254178812847862224753115135919077234707485366316834030953494847485483926089920863462433188061835048162918304285080172712398859376643290231877309950851415820549977035781948079654799786974993053445551196565568350748393712098700489443828569",
            "value": 7.140855745339074e-97,
            "status": "finite",
            "log2": -319.3909282298787
          }
        },
        {
          "k": 34,
          "count": "62556834502701077582774553512934277148900930647251750",
          "singleLikelihood": {
            "numerator": "4753455129572297777364129980205301924611372193669152037542600355240622824166504980657462332670393951489645065801757098768513192480173093279851978788838555864521316312106403473308230070520282106405805986810597583797645871984691639235015102119692745276151812981558994832760831720436232213429273603687562426116462546478253897796968044317708515921136875256661205712868949997448420216453294977754108332561493950132951729816749821523566522276604869841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.753455129572298e-56,
            "status": "finite",
            "log2": -183.7789967715637
          },
          "trueMass": {
            "numerator": "1189444423426678955737992678208174839472656892544700200253243612253780316617311138215948319096781382823698452851617371359228109219030499689128215549717562552421006791250229373520349484525881188536797938753617255699716111624163169554797348276033427589852780063538695541904156235354847901754543634750060234130973905183076796419357731652765550343509235250798403303997604070352026393935259635706589492628004575393004446515181854008812911456143049682752210391546457972712969506962880415201352772437887",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0029736110585666976,
            "status": "finite",
            "log2": -8.393568326099057
          },
          "falseMass": {
            "numerator": "31278417251350538791387276756467138574450465323625875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.9110714850772822e-98,
            "status": "finite",
            "log2": -324.6145715545354
          },
          "noiseInformation": 0.3675579935431274,
          "jointInformation": 1.3675579935431275,
          "informationDensity": 316.22100322843625,
          "difference": -0.10143760004615399,
          "margin": -0.08143760004615398,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4753455129572297777364129980205301924611372193669152037542600355240622824166504980657462332670393951489645065801757098768513192480173093279851978788838555864521316312106403473308230070520282106405805986810597583797645871984691639235015102119692745276151812981558994832760831720436232213429273603687562426116462546478253897796968044317708515921136875256661205712868949997448420216453294977754108332561493950132951729816749821523566522276604869841",
            "value": 6.426770170805165e-96,
            "status": "finite",
            "log2": -316.2210032284363
          }
        },
        {
          "k": 35,
          "count": "832899567950248632959226912486496375753938105189123300",
          "singleLikelihood": {
            "numerator": "528161681063588641929347775578366880512374688185461337504733372804513647129611664517495814741154883498849451755750788752057021386685899253316886532093172873835701812456267052589803341168920234045089554090066398199738430220521293248335011346632527252905756997950999425862314635604025801492141511520840269568495838497583766421885338257523168435681875028517911745874327777494268912939254997528234259173499327792550192201861091280396280252956096649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.281616810635887e-57,
            "status": "finite",
            "log2": -186.94892177300585
          },
          "trueMass": {
            "numerator": "4399056359657399947411941174960392660271889777189129312047710502462393869394182463560570767453175590443202214514711865503176975365620736945505940048955429757366580672401641968733990950706830427445617773485600326635458000133809817559806065846282359181519011981024064464502673060915548589028708998361333881785982855677093548662069071033244019524407171641841713806848281720508288091855801509835481774322620096294762476794243999746879497925100485334623254305243249327652728494005573599078018983778217",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0043990563596574,
            "status": "finite",
            "log2": -7.828590199831979
          },
          "falseMass": {
            "numerator": "208224891987562158239806728121624093938484526297280825",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.5444551772743243e-97,
            "status": "finite",
            "log2": -320.8796684268261
          },
          "noiseInformation": 0.3738978435460117,
          "jointInformation": 1.3738978435460116,
          "informationDensity": 313.0510782269942,
          "difference": -0.09509775004326936,
          "margin": -0.07509775004326935,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "528161681063588641929347775578366880512374688185461337504733372804513647129611664517495814741154883498849451755750788752057021386685899253316886532093172873835701812456267052589803341168920234045089554090066398199738430220521293248335011346632527252905756997950999425862314635604025801492141511520840269568495838497583766421885338257523168435681875028517911745874327777494268912939254997528234259173499327792550192201861091280396280252956096649",
            "value": 5.784093153724649e-95,
            "status": "finite",
            "log2": -313.05107822699415
          }
        },
        {
          "k": 36,
          "count": "10758286086024044842390014286283911520155033858692842625",
          "singleLikelihood": {
            "numerator": "58684631229287626881038641730929653390263854242829037500525930311612627458845740501943979415683875944316605750638976528006335709631766583701876281343685874870633534717363005843311482352102248227232172676674044244415381135613477027592779038514725250322861888661222158429146070622669533499126834613426696618721759833064862935765037584169240937297986114279767971763814197499363212548806110836470473241499925310283354689095676808932920028106232961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.8684631229287626e-58,
            "status": "finite",
            "log2": -190.11884677444823
          },
          "trueMass": {
            "numerator": "5050768412939977717398895423102673054386243818254185506425149095419785553748876161865840510779571974212565505553928438170314305049416401678173486722874752684383851883127811149287174795255990490770894480668652226877748074227707568309406964490176042023225532274509111051836402403273407639255184405525975938346869204666292592908301526001132022416911937811003449185640619753176182623982586918699997592740786036486579140023020888598269053173263520199011884572686693672490169752376769687830318092486101",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0063134605161749725,
            "status": "finite",
            "log2": -7.307353296721203
          },
          "falseMass": {
            "numerator": "10758286086024044842390014286283911520155033858692842625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.2865879373126687e-96,
            "status": "finite",
            "log2": -317.188506522273
          },
          "noiseInformation": 0.38023769354889647,
          "jointInformation": 1.3802376935488965,
          "informationDensity": 309.88115322555177,
          "difference": -0.08875790004038474,
          "margin": -0.06875790004038473,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "58684631229287626881038641730929653390263854242829037500525930311612627458845740501943979415683875944316605750638976528006335709631766583701876281343685874870633534717363005843311482352102248227232172676674044244415381135613477027592779038514725250322861888661222158429146070622669533499126834613426696618721759833064862935765037584169240937297986114279767971763814197499363212548806110836470473241499925310283354689095676808932920028106232961",
            "value": 5.205683838352184e-94,
            "status": "finite",
            "log2": -309.88115322555177
          }
        },
        {
          "k": 37,
          "count": "134914722808517751536999098076641485009511775957661594000",
          "singleLikelihood": {
            "numerator": "6520514581031958542337626858992183710029317138092115277836214479068069717649526722438219935075986216035178416737664058667370634403529620411319586815965097207848170524151445093701275816900249803025796964074893804935042348401497447510308782057191694480317987629024684269905118958074392611014092734825188513191306648118318103973893064907693437477554012697751996862646021944373690283200678981830052582388880590031483854343964089881435558678470329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.520514581031958e-59,
            "status": "finite",
            "log2": -193.2887717758906
          },
          "trueMass": {
            "numerator": "439856708634412473887591493303235791523126338526640779838826798099620964140292518600929053491314075832325524507699473594411756295594821767768862207097200684225620734566686256244228435622894066763831651469642386124488571028839397840759165075721036692713334642524817478988755764849636100715916960241000907543721342148115571154176409171269755705977315905462762841992726645171499387674159221148047838406855240414747132314317134442491899525599525783097131088912655004511155924381160122964201875922213",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.008797134172688249,
            "status": "finite",
            "log2": -6.828750668664952
          },
          "falseMass": {
            "numerator": "8432170175532359471062443629790092813094485997353849625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.1215589267921035e-95,
            "status": "finite",
            "log2": -313.5399788927744
          },
          "noiseInformation": 0.3865775435517812,
          "jointInformation": 1.3865775435517813,
          "informationDensity": 306.7112282241094,
          "difference": -0.0824180500375001,
          "margin": -0.0624180500375001,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6520514581031958542337626858992183710029317138092115277836214479068069717649526722438219935075986216035178416737664058667370634403529620411319586815965097207848170524151445093701275816900249803025796964074893804935042348401497447510308782057191694480317987629024684269905118958074392611014092734825188513191306648118318103973893064907693437477554012697751996862646021944373690283200678981830052582388880590031483854343964089881435558678470329",
            "value": 4.685115454516966e-93,
            "status": "finite",
            "log2": -306.7112282241094
          }
        },
        {
          "k": 38,
          "count": "1643829385798518920042910063407500198931682954431508369000",
          "singleLikelihood": {
            "numerator": "724501620114662060259736317665798190003257459788012808648468275452007746405502969159802215008442912892797601859740450963041181600392180045702176312885010800872018947127938343744586201877805533669532996008321533881671372044610827501145420228576854942257554181002742696656124328674932512334899192758354279243478516457590900441543673878632604164172668077527999651405113549374854475911186553536672509154320065559053761593773787764603950964274481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.24501620114662e-60,
            "status": "finite",
            "log2": -196.45869677733276
          },
          "trueMass": {
            "numerator": "1190957053203116815262893926312270008626944413671547842487583669708330446765821263814211413839055070820857999105642434352120720262341534961853702935005870858458844445054828869246068805224561128138327804856400144886773148458202580118546745205022456074422654616894681244279496603072406518312687442056043392940017435172967891487623844715192379484605247159235433893816563957394176704638220581237111983522654832234081416734086744133764616844167137061836091778751808579465878321570041736446932564631489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.011909570532031169,
            "status": "finite",
            "log2": -6.391734800290578
          },
          "falseMass": {
            "numerator": "205478673224814865005363757925937524866460369303938546125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.021794166065116e-94,
            "status": "finite",
            "log2": -309.9330380229577
          },
          "noiseInformation": 0.39291739355466554,
          "jointInformation": 1.3929173935546655,
          "informationDensity": 303.54130322266724,
          "difference": -0.07607820003461549,
          "margin": -0.056078200034615486,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "724501620114662060259736317665798190003257459788012808648468275452007746405502969159802215008442912892797601859740450963041181600392180045702176312885010800872018947127938343744586201877805533669532996008321533881671372044610827501145420228576854942257554181002742696656124328674932512334899192758354279243478516457590900441543673878632604164172668077527999651405113549374854475911186553536672509154320065559053761593773787764603950964274481",
            "value": 4.216603909065269e-92,
            "status": "finite",
            "log2": -303.54130322266724
          }
        },
        {
          "k": 39,
          "count": "19473055800997839514354473058827310048883013460188637602000",
          "singleLikelihood": {
            "numerator": "80500180012740228917748479740644243333695273309779200960940919494667527378389218795533579445382545876977511317748938995893464622265797782855797368098334533430224327458659815971620689097533948185503666223146837097963485782734536389016157803175206104695283797889193632961791592074992501370544354750928253249275390717510100049060408208736956018241407564169777739045012616597206052879020728170741389906035562839894862399308198640511550107141609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.050018001274022e-61,
            "status": "finite",
            "log2": -199.62862177877514
          },
          "trueMass": {
            "numerator": "783792248689230724574725062615767441574997605578710973261059338184114909409984934305079306543651627805180050693456986710370046668378617026177223299106427829925906173241212161811515367540950486039754196358485565438303695993859817684855550263134436903679866713682824408628386653304062409487837034515515737234028568447166902944846461906579600173629094284283148801913465168541466720146521237224424125908071983607045034944655378617947653820520252596251103136443497954007458382571736869285588098090809",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.015675844973784617,
            "status": "finite",
            "log2": -5.995312979179062
          },
          "falseMass": {
            "numerator": "1217065987562364969647154566176706878055188341261789850125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.948894627492522e-93,
            "status": "finite",
            "log2": -306.3666912004039
          },
          "noiseInformation": 0.39925724355755027,
          "jointInformation": 1.3992572435575503,
          "informationDensity": 300.37137822122486,
          "difference": -0.06973835003173086,
          "margin": -0.049738350031730855,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "80500180012740228917748479740644243333695273309779200960940919494667527378389218795533579445382545876977511317748938995893464622265797782855797368098334533430224327458659815971620689097533948185503666223146837097963485782734536389016157803175206104695283797889193632961791592074992501370544354750928253249275390717510100049060408208736956018241407564169777739045012616597206052879020728170741389906035562839894862399308198640511550107141609",
            "value": 3.7949435181587425e-91,
            "status": "finite",
            "log2": -300.37137822122486
          }
        },
        {
          "k": 40,
          "count": "224426968106500100402935302002984748313376730128674048363050",
          "singleLikelihood": {
            "numerator": "8944464445860025435305386637849360370410585923308800106771213277185280819821024310614842160598060652997501257527659888432607180251755309206199707566481614825580480828739979552402298788614883131722629580349648566440387309192726265446239755908356233855031533098799292551310176897221389041171594972325361472141710079723344449895600912081884002026823062685530859893890290733022894764335636463415709989559506982210540266589799848945727789682401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.944464445860025e-62,
            "status": "finite",
            "log2": -202.79854678021752
          },
          "trueMass": {
            "numerator": "40147580738415040447660917096207643396230432907976195408149817211430774804222561634960173368513711157576444818853741208164510168235838049896411104543118136621760305096022089621678731604042019340480742724584649518562000428129930661413156519033886156955157617223086894708631805241463641197099208101294750540543018894904882473063802104325910631115890273894947955298011938077512906443060698928939946893735687160316417901054014393652652045695537382985750949544494728533048701596174521860072901468873661",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.020073790369207523,
            "status": "finite",
            "log2": -5.638543135079544
          },
          "falseMass": {
            "numerator": "112213484053250050201467651001492374156688365064337024181525",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.856101058185131e-92,
            "status": "finite",
            "log2": -302.8399963548619
          },
          "noiseInformation": 0.40559709356043505,
          "jointInformation": 1.4055970935604352,
          "informationDensity": 297.2014532197825,
          "difference": -0.06339850002884624,
          "margin": -0.04339850002884624,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8944464445860025435305386637849360370410585923308800106771213277185280819821024310614842160598060652997501257527659888432607180251755309206199707566481614825580480828739979552402298788614883131722629580349648566440387309192726265446239755908356233855031533098799292551310176897221389041171594972325361472141710079723344449895600912081884002026823062685530859893890290733022894764335636463415709989559506982210540266589799848945727789682401",
            "value": 3.4154491663428683e-90,
            "status": "finite",
            "log2": -297.2014532197825
          }
        },
        {
          "k": 41,
          "count": "2517961105585123077691469241984706932296421850224147859683000",
          "singleLikelihood": {
            "numerator": "993829382873336159478376293094373374490065102589866678530134808576142313313447145623871351177562294777500139725295543159178575583528367689577745285164623869508942314304442172489144309846098125746958842261072062937820812132525140605137750656484025983892392566533254727923352988580154337907954996925040163571301119969260494432844545786876000225202562520614539988210032303669210529370626273712856665506611886912282251843311094327303087742489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.938293828733362e-63,
            "status": "finite",
            "log2": -205.9684717816599
          },
          "trueMass": {
            "numerator": "2502423731662726098363688599492617339060433487489031150101479121579695990507097337680444410503564652098260788167035359858492503711176897419017494321115764613280452621161268458803823379113730202794192635949720701698986476550104079166673712568507809241107385355368559832787348294183370589521088851842220223394280310522526549811564900811642126058714027912151227566000744107812457583171805082291649806384609226794790275675453471691086712875331598397485831543423790667371599286482422771766061609170987",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.025024237316627264,
            "status": "finite",
            "log2": -5.3205300901954615
          },
          "falseMass": {
            "numerator": "314745138198140384711433655248088366537052731278018482460375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.69221094332966e-91,
            "status": "finite",
            "log2": -299.3520583085357
          },
          "noiseInformation": 0.4119369435633198,
          "jointInformation": 1.4119369435633198,
          "informationDensity": 294.0315282183401,
          "difference": -0.05705865002596162,
          "margin": -0.03705865002596162,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "993829382873336159478376293094373374490065102589866678530134808576142313313447145623871351177562294777500139725295543159178575583528367689577745285164623869508942314304442172489144309846098125746958842261072062937820812132525140605137750656484025983892392566533254727923352988580154337907954996925040163571301119969260494432844545786876000225202562520614539988210032303669210529370626273712856665506611886912282251843311094327303087742489",
            "value": 3.073904249708581e-89,
            "status": "finite",
            "log2": -294.0315282183401
          }
        },
        {
          "k": 42,
          "count": "27517717796751702206199628144547154331525181648878187323678500",
          "singleLikelihood": {
            "numerator": "110425486985926239942041810343819263832229455843318519836681645397349145923716349513763483464173588308611126636143949239908730620392040854397527253907180429945438034922715796943238256649566458416328760251230229215313423570280571178348638961831558442654710285170361636435928109842239370878661666325004462619033457774362277159204949531875111136133618057846059998690003589296578947707847363745872962834067987434698027982590121591922565304721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1042548698592623e-63,
            "status": "finite",
            "log2": -209.13839678310205
          },
          "trueMass": {
            "numerator": "6077314776895191953168958027339213537718195612473361364532163580979261691231522105795364996937228440810061914119943016799196080441429608017613914779852571203681099222820223399952142492133344778214467830163607418411824300193109906547636159094947536728403650148752216736769274428731042860265501497331106256814680754126135906685229044828273734714019782072367266946001807118973111273417240914136863815505479550787347812354672716964067731268662453251037019462600634477902455410028741017146149622272397",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.03038657388447596,
            "status": "finite",
            "log2": -5.040422171002774
          },
          "falseMass": {
            "numerator": "6879429449187925551549907036136788582881295412219546830919625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 8.4064876737817e-90,
            "status": "finite",
            "log2": -295.9020253879006
          },
          "noiseInformation": 0.4182767935662041,
          "jointInformation": 1.4182767935662042,
          "informationDensity": 290.8616032168979,
          "difference": -0.05071880002307699,
          "margin": -0.030718800023076993,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "110425486985926239942041810343819263832229455843318519836681645397349145923716349513763483464173588308611126636143949239908730620392040854397527253907180429945438034922715796943238256649566458416328760251230229215313423570280571178348638961831558442654710285170361636435928109842239370878661666325004462619033457774362277159204949531875111136133618057846059998690003589296578947707847363745872962834067987434698027982590121591922565304721",
            "value": 2.766513824737723e-88,
            "status": "finite",
            "log2": -290.86160321689795
          }
        },
        {
          "k": 43,
          "count": "293095691881680921173009992795409225205547283608981623121971000",
          "singleLikelihood": {
            "numerator": "12269498553991804438004645593757695981358828427035391092964627266372127324857372168195942607130398700956791848460438804434303402265782317155280805989686714438382003880301755215915361849951828712925417805692247690590380396697841242038737662425728715850523365018929070715103123315804374542073518480556051402114828641595808573244994392430567904014846450871784444298889287699619883078649707082874773648229776381633114220287791287991396144969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2269498553991806e-64,
            "status": "finite",
            "log2": -212.30832178454443
          },
          "trueMass": {
            "numerator": "3596137167723511517508246481293746511983118333995864993482856485902457176465164243480978254001615795724816998277692379449653494628132765467787045179809402598560650444511191624261086901029808667212178638520584234667461924403674854262037933934736397702337043628073017138811792879016560245480102953201093883231426079314948637289192380531459135011655116523442129536523033153087448272900641264437575746125981439613185139610387731743595634264919126083946970172960065362893184209035094813763483885013899",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.035961371677235114,
            "status": "finite",
            "log2": -4.797408139050276
          },
          "falseMass": {
            "numerator": "36636961485210115146626249099426153150693410451122702890246375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 8.953886871144229e-89,
            "status": "finite",
            "log2": -292.48908635450573
          },
          "noiseInformation": 0.42461664356908885,
          "jointInformation": 1.4246166435690888,
          "informationDensity": 287.6916782154556,
          "difference": -0.04437895002019237,
          "margin": -0.02437895002019237,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12269498553991804438004645593757695981358828427035391092964627266372127324857372168195942607130398700956791848460438804434303402265782317155280805989686714438382003880301755215915361849951828712925417805692247690590380396697841242038737662425728715850523365018929070715103123315804374542073518480556051402114828641595808573244994392430567904014846450871784444298889287699619883078649707082874773648229776381633114220287791287991396144969",
            "value": 2.4898624422639506e-87,
            "status": "finite",
            "log2": -287.69167821545557
          }
        },
        {
          "k": 44,
          "count": "3044198436134731385819671970625045816339434286575104585607744250",
          "singleLikelihood": {
            "numerator": "1363277617110200493111627288195299553484314269670599010329403029596903036095263574243993623014488744550754649828937644937144822473975813017253422887742968270931333764477972801768373538883536523658379756188027521176708932966426804670970851380636523983391485002103230079455902590644930504674835386728450155790536515732867619249443821381174211557205161207976049366543254188846653675405523009208308183136641820181457135587532365332377349441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3632776171102006e-65,
            "status": "finite",
            "log2": -215.4782467859868
          },
          "trueMass": {
            "numerator": "16600350360097421853548168100517597535113990693294043454764297111691140703480606659301081435138771905517589577908135529378703505505622967866451309567402999874163810637794086588760774886571945059757228664685929244879091913661408165633851876850247815656242716545751200327646357027379475072569768177908079844815774931787187143850110281847240653538650386375889426244353799504656200613288818766141132484642156746497228371736840337442658634940081218387512781505482321927698840237667053837271839752033857",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.04150087590024355,
            "status": "finite",
            "log2": -4.590714404071832
          },
          "falseMass": {
            "numerator": "1522099218067365692909835985312522908169717143287552292803872125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 9.299832500256619e-88,
            "status": "finite",
            "log2": -289.112467618085
          },
          "noiseInformation": 0.43095649357197363,
          "jointInformation": 1.4309564935719736,
          "informationDensity": 284.5217532140132,
          "difference": -0.038039100017307745,
          "margin": -0.018039100017307744,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1363277617110200493111627288195299553484314269670599010329403029596903036095263574243993623014488744550754649828937644937144822473975813017253422887742968270931333764477972801768373538883536523658379756188027521176708932966426804670970851380636523983391485002103230079455902590644930504674835386728450155790536515732867619249443821381174211557205161207976049366543254188846653675405523009208308183136641820181457135587532365332377349441",
            "value": 2.2408761980375556e-86,
            "status": "finite",
            "log2": -284.5217532140132
          }
        },
        {
          "k": 45,
          "count": "30847877486165278042972675969000464272239600770627726467491808400",
          "singleLikelihood": {
            "numerator": "151475290790022277012403032021699950387146029963399890036600336621878115121695952693777069223832082727861627758770849437460535830441757001917046987526996474547925973830885866863152615431504058184264417354225280130745436996269644963441205708959613775932387222455914453272878065627214500519426154080938906198948501748096402138827091264574912395245017911997338818504806020982961519489502556578700909237404646686828570620836929481375261049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5147529079002228e-66,
            "status": "finite",
            "log2": -218.64817178742896
          },
          "trueMass": {
            "numerator": "11681728031179667230274636811475346413598734191577289838537838708227099013560426908397057306208765414993859332602021298451680244615068014424539810436320629541078237115484727599498323068328405782792123875149357616766768383687657598038636505931655870276615244976639733563899288278526297273289836865935315446351841618665057619746373902040650830267939160783033299949730451503276585616758798390988204341044480673461012557888887644867056076439316412939360846244598670986158443130210148996598702047727529",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.04672691212471867,
            "status": "finite",
            "log2": -4.419602487678958
          },
          "falseMass": {
            "numerator": "1927992342885329877685792248062529017014975048164232904218238025",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.423830266926706e-87,
            "status": "finite",
            "log2": -285.77143070024994
          },
          "noiseInformation": 0.4372963435748579,
          "jointInformation": 1.4372963435748578,
          "informationDensity": 281.35182821257104,
          "difference": -0.03169925001442312,
          "margin": -0.01169925001442312,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "151475290790022277012403032021699950387146029963399890036600336621878115121695952693777069223832082727861627758770849437460535830441757001917046987526996474547925973830885866863152615431504058184264417354225280130745436996269644963441205708959613775932387222455914453272878065627214500519426154080938906198948501748096402138827091264574912395245017911997338818504806020982961519489502556578700909237404646686828570620836929481375261049",
            "value": 2.0167885782338e-85,
            "status": "finite",
            "log2": -281.35182821257104
          }
        },
        {
          "k": 46,
          "count": "305125744700113076294621034041200244431935181535556859624103757000",
          "singleLikelihood": {
            "numerator": "16830587865558030779155892446855550043016225551488876670733370735764235013521772521530785469314675858651291973196761048606726203382417444657449665280777386060880663758987318540350290603500450909362713039358364458971715221807738329271245078773290419548043024717323828141430896180801611168825128231215434022105389083121822459869676807174990266138335323555259868722756224553662391054389172953188989915267182965203174513426325497930584561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.683058786555803e-67,
            "status": "finite",
            "log2": -221.81809678887134
          },
          "trueMass": {
            "numerator": "5135445656219080763067593960600273061050651262963929349308904939365536281323665935575517946207718129296817387762241247145424648598894634360546486713551581102599611485551257060649021252260313653304750109365176536839497212152545127640173536424061276305178682574271573692342199194907695902750604612560935775932452112553237890806376932781155679006678568266937344422345270950715793676932611853043123647512307928912812283902844326970541560173805766074791483131683473718552745530672094486427448726295677",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.051354456562190814,
            "status": "finite",
            "log2": -4.283366710092196
          },
          "falseMass": {
            "numerator": "38140718087514134536827629255150030553991897691944607453012969625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.321397329242722e-86,
            "status": "finite",
            "log2": -282.46526992122085
          },
          "noiseInformation": 0.4436361935777427,
          "jointInformation": 1.4436361935777426,
          "informationDensity": 278.18190321112866,
          "difference": -0.025359400011538497,
          "margin": -0.005359400011538496,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16830587865558030779155892446855550043016225551488876670733370735764235013521772521530785469314675858651291973196761048606726203382417444657449665280777386060880663758987318540350290603500450909362713039358364458971715221807738329271245078773290419548043024717323828141430896180801611168825128231215434022105389083121822459869676807174990266138335323555259868722756224553662391054389172953188989915267182965203174513426325497930584561",
            "value": 1.81510972041042e-84,
            "status": "finite",
            "log2": -278.18190321112866
          }
        },
        {
          "k": 47,
          "count": "2947384853060666736973573392653295978129756859939208814241342674000",
          "singleLikelihood": {
            "numerator": "1870065318395336753239543605206172227001802839054319630081485637307137223724641391281198385479408428739032441466306783178525133709157493850827740586753042895653407084331924282261143400388938989929190337706484939885746135756415369919027230974810046616449224968591536460158988464533512352091680914579492669122821009235758051096630756352776696237592813728362207635861802728184710117154352550354332212807464773911463834825147277547842729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.870065318395337e-68,
            "status": "finite",
            "log2": -224.98802179031372
          },
          "trueMass": {
            "numerator": "2755901096836244286563460588785489325906614271141399438045204305522403630875820726656365422669390107211294437404323317026031667215009650117834639442024134539692935714468405089284462941520310163830208687531666841282661624488481664241889817419058888229965865116689473352628083255896092127480820915014970262734436476476560286555667999388468886842827505902115312491424057933362849089039486739103520255284382741993400445498689508799794170589725552952665878654591367692934924906530887584914966574158673",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05511802193672489,
            "status": "finite",
            "log2": -4.181332075921318
          },
          "falseMass": {
            "numerator": "184211553316291671060848337040830998633109803746200550890083917125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.004073164842969e-85,
            "status": "finite",
            "log2": -279.1933102856076
          },
          "noiseInformation": 0.4499760435806274,
          "jointInformation": 1.4499760435806275,
          "informationDensity": 275.0119782096863,
          "difference": -0.019019550008653872,
          "margin": 0.000980449991346128,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1870065318395336753239543605206172227001802839054319630081485637307137223724641391281198385479408428739032441466306783178525133709157493850827740586753042895653407084331924282261143400388938989929190337706484939885746135756415369919027230974810046616449224968591536460158988464533512352091680914579492669122821009235758051096630756352776696237592813728362207635861802728184710117154352550354332212807464773911463834825147277547842729",
            "value": 1.633598748369378e-83,
            "status": "finite",
            "log2": -275.0119782096863
          }
        },
        {
          "k": 48,
          "count": "27815944550760042330188098893165480793599580365676283184402671485875",
          "singleLikelihood": {
            "numerator": "207785035377259639248838178356241358555755871006035514453498404145237469302737932364577598386600936526559160162922975908725014856573054872314193398528115877294823009370213809140127044487659887769910037522942771098416237306268374435447470108312227401827691663176837384462109829392612483565742323842165852124757889915084227899625639594752966248621423747595800848429089192020523346350483616706036912534162752656829314980571919727538081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0778503537725963e-69,
            "status": "finite",
            "log2": -228.15794679175588
          },
          "trueMass": {
            "numerator": "46237896180252543030120283211845432023544306104705701682758427792653660918027658858345686535897545132100606672005868985658975749940717463088114506193960479499292588098303240942439322685507426082040167979697965892631322810862303477836151381141988013636093959180012275138537841293367767916622662018584501074766656438662289252211763100850977990362994821246601354022781416437532245827218055289403506505326866004555940807811346203196546639894284277316949741871477391292574851209573780591351105855328847",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05779737022531568,
            "status": "finite",
            "log2": -4.112852338038465
          },
          "falseMass": {
            "numerator": "27815944550760042330188098893165480793599580365676283184402671485875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.497594049320553e-84,
            "status": "finite",
            "log2": -275.95490554628253
          },
          "noiseInformation": 0.45631589358351177,
          "jointInformation": 1.4563158935835117,
          "informationDensity": 271.8420532082441,
          "difference": -0.012679700005769248,
          "margin": 0.007320299994230752,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "207785035377259639248838178356241358555755871006035514453498404145237469302737932364577598386600936526559160162922975908725014856573054872314193398528115877294823009370213809140127044487659887769910037522942771098416237306268374435447470108312227401827691663176837384462109829392612483565742323842165852124757889915084227899625639594752966248621423747595800848429089192020523346350483616706036912534162752656829314980571919727538081",
            "value": 1.4702388735324403e-82,
            "status": "finite",
            "log2": -271.8420532082441
          }
        },
        {
          "k": 49,
          "count": "256587896672317125168265728565526475891979802556850612231632806359500",
          "singleLikelihood": {
            "numerator": "23087226153028848805426464261804595395083985667337279383722044905026385478081992484953066487400104058506573351435886212080557206285894985812688155392012875254980334374468201015569671609739987529990004169215863455379581922918708270605274456479136377980854629241870820495789981043623609285082480426907316902750876657231580877736182177194774027624602638621755649825454354668947038483387068522892990281573639184092146108952435525282009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3087226153028847e-70,
            "status": "finite",
            "log2": -231.32787179319826
          },
          "trueMass": {
            "numerator": "11847805597207567715200888895552230881316341473541370272452839774534838285118198301571570472917058049721924158586537858003320316878233726369516868934053365495283588333578834980715744815107345005148614470988367677703717636343402024933072802877652257462309789993971399298536907179479722844848890721315302996482159132809158017006642245796282342201855815874979485271143537545218013103119365641048971054652915778945173041457329072474398572127106855639037008688156338358414871171614143326128514652272471",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05923902798603784,
            "status": "finite",
            "log2": -4.077308221180829
          },
          "falseMass": {
            "numerator": "64146974168079281292066432141381618972994950639212653057908201589875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.838596959781407e-83,
            "status": "finite",
            "log2": -272.7494364279826
          },
          "noiseInformation": 0.4626557435863965,
          "jointInformation": 1.4626557435863965,
          "informationDensity": 268.67212820680174,
          "difference": -0.006339850002884624,
          "margin": 0.013660149997115376,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "23087226153028848805426464261804595395083985667337279383722044905026385478081992484953066487400104058506573351435886212080557206285894985812688155392012875254980334374468201015569671609739987529990004169215863455379581922918708270605274456479136377980854629241870820495789981043623609285082480426907316902750876657231580877736182177194774027624602638621755649825454354668947038483387068522892990281573639184092146108952435525282009",
            "value": 1.3232149861791963e-81,
            "status": "finite",
            "log2": -268.67212820680174
          }
        },
        {
          "k": 50,
          "count": "2314422827984300469017756871661048812545657819062792522329327913362690",
          "singleLikelihood": {
            "numerator": "2565247350336538756158496029089399488342665074148586598191338322780709497564665831661451831933344895389619261270654023564506356253988331756965350599112541694997814930496466779507741289971109725554444907690651495042175769213189807845030495164348486442317181026874535610643331227069289920564720047434146322527875184136842319748464686354974891958289182069083961091717150518771893164820785391432554475730404353788016234328048391698001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5652473503365387e-71,
            "status": "finite",
            "log2": -234.49779679464064
          },
          "trueMass": {
            "numerator": "593706702704512559950622321321561791941518889396350888097358970923912451843145270445419809253954797824954199502503174884388606990231490065850234209917563093152544259827117175144755656845934733035780569601750424738264072665652701471646203788646796457277968365253455675960016126438372778114094412812577961268161529877436696185555072539347037370337441439957305317476192825877035989945203767123676216183162779589363671299695045742883750669925021321467298990928723177738345210933108737787106678686098269",
            "denominator": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05937067027045125,
            "status": "finite",
            "log2": -4.07410578914255
          },
          "falseMass": {
            "numerator": "1157211413992150234508878435830524406272828909531396261164663956681345",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 7.070414457722829e-82,
            "status": "finite",
            "log2": -269.5763089945019
          },
          "noiseInformation": 0.4689955935892813,
          "jointInformation": 1.4689955935892813,
          "informationDensity": 265.5022032053593,
          "difference": 0,
          "margin": 0.02,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2565247350336538756158496029089399488342665074148586598191338322780709497564665831661451831933344895389619261270654023564506356253988331756965350599112541694997814930496466779507741289971109725554444907690651495042175769213189807845030495164348486442317181026874535610643331227069289920564720047434146322527875184136842319748464686354974891958289182069083961091717150518771893164820785391432554475730404353788016234328048391698001",
            "value": 1.1908934875612766e-80,
            "status": "finite",
            "log2": -265.50220320535936
          }
        },
        {
          "k": 51,
          "count": "20421377893979121785450795926421018934226392521142286961729363941435500",
          "singleLikelihood": {
            "numerator": "285027483370726528462055114343266609815851674905398510910148702531189944173851759073494647992593877265513251252294891507167372917109814639662816733234726854999757214499607419945304587774567747283827211965627943893575085468132200871670055018260942938035242336319392845627036803007698880062746671937127369169763909348538035527607187372774987995365464674342662343524127835419099240535642821270283830636711594865335137147560932410889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.850274833707265e-72,
            "status": "finite",
            "log2": -237.66772179608301
          },
          "trueMass": {
            "numerator": "11641307896166912940208280810226701802774880184242174276418803351449263761630299420498427632430486231861847049068689703615462882161401765997063415880736531238285181565237591669505012879332053588936873913759812249769883777757896107287180466444054832495646438534381483842353257381144564276746949270834861985650226076028170513442256324300922301379165518430535398381886133840726195881278505237719141493787505482144385711758726387115367660194608261205241156684876925053693043351629583093864836836982319",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05820653948083456,
            "status": "finite",
            "log2": -4.102674941339274
          },
          "falseMass": {
            "numerator": "5105344473494780446362698981605254733556598130285571740432340985358875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.238600992108379e-81,
            "status": "finite",
            "log2": -266.4349531452564
          },
          "noiseInformation": 0.475335443592166,
          "jointInformation": 1.475335443592166,
          "informationDensity": 262.33227820391704,
          "difference": 0.006339850002884624,
          "margin": 0.013660149997115376,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "285027483370726528462055114343266609815851674905398510910148702531189944173851759073494647992593877265513251252294891507167372917109814639662816733234726854999757214499607419945304587774567747283827211965627943893575085468132200871670055018260942938035242336319392845627036803007698880062746671937127369169763909348538035527607187372774987995365464674342662343524127835419099240535642821270283830636711594865335137147560932410889",
            "value": 1.071804138805149e-79,
            "status": "finite",
            "log2": -262.332278203917
          }
        },
        {
          "k": 52,
          "count": "176330743738396647724373218672366105797454812346017054727240084802010375",
          "singleLikelihood": {
            "numerator": "31669720374525169829117234927029623312872408322822056767794300281243327130427973230388294221399319696168139028032765723018596990789979404406979637026080761666639690499956379993922731974951971920425245773958660432619453940903577874630006113140104770892804704035488093958559644778633208895860741326347485463307101038726448391956354152530554221707273852704740260391569759491011026726182535696698203404079066096148348571951214712321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.166972037452517e-73,
            "status": "finite",
            "log2": -240.83764679752517
          },
          "trueMass": {
            "numerator": "44674762781016614616696735758904180422614711134399455129162758160689909649333371280374307751805883060734780555827706640370451573422815324210952766926929081418718346348646826150493596434359761208826122968189364958518613813788849163862769482336586493936284195743053728591594979180631703933840856603460282320999585539629474876372419569325761652301242032267610204046725419610991982484564520100306790860774273175066916107518531177904274183139992387018404097021450763667591251836595579565344544784658643",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.05584345347627077,
            "status": "finite",
            "log2": -4.162468026181614
          },
          "falseMass": {
            "numerator": "176330743738396647724373218672366105797454812346017054727240084802010375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 5.386792010493581e-80,
            "status": "finite",
            "log2": -263.32482122865633
          },
          "noiseInformation": 0.48167529359505035,
          "jointInformation": 1.4816752935950503,
          "informationDensity": 259.16235320247483,
          "difference": 0.012679700005769248,
          "margin": 0.007320299994230752,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "31669720374525169829117234927029623312872408322822056767794300281243327130427973230388294221399319696168139028032765723018596990789979404406979637026080761666639690499956379993922731974951971920425245773958660432619453940903577874630006113140104770892804704035488093958559644778633208895860741326347485463307101038726448391956354152530554221707273852704740260391569759491011026726182535696698203404079066096148348571951214712321",
            "value": 9.646237249246341e-79,
            "status": "finite",
            "log2": -259.16235320247483
          }
        },
        {
          "k": 53,
          "count": "1490493833864182984538098150287170101835089734547464915430255811156616000",
          "singleLikelihood": {
            "numerator": "3518857819391685536568581658558847034763600924758006307532700031249258570047552581154254913488813299574237669781418413668732998976664378267442181891786751296293298944439597777102525774994663546713916197106517825846605993433730874958889568126678307876978300448387565995395516086514800988428971258483053940367455670969605376884039350281172691300808205856082251154618862165667891858464726188522022600453229566238705396883468301369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5188578193916857e-74,
            "status": "finite",
            "log2": -244.00757179896755
          },
          "trueMass": {
            "numerator": "655604485256009019532237212394820257774220079540453219924820350366518590241789515644905983779121973637617324718645590110258199190691210208546476663497911048073434852076578161537641876395216621513171615885378521403837099992708478295680055296344036598645680021386532704698458813971534439280683430239459069700203561378210323133347876279413693010710050787994279723956138233284997646524007632499261081814297509906642374743458528816205281513584793939473435386059025881914337029048572446451597093275913",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.052448358820480726,
            "status": "finite",
            "log2": -4.2529585601294
          },
          "falseMass": {
            "numerator": "23288966154127859133407783598237032841173277102304139303597747049322125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.5533638126436307e-79,
            "status": "finite",
            "log2": -260.24538676116185
          },
          "noiseInformation": 0.4880151435979351,
          "jointInformation": 1.4880151435979352,
          "informationDensity": 255.99242820103245,
          "difference": 0.019019550008653872,
          "margin": 0.000980449991346128,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3518857819391685536568581658558847034763600924758006307532700031249258570047552581154254913488813299574237669781418413668732998976664378267442181891786751296293298944439597777102525774994663546713916197106517825846605993433730874958889568126678307876978300448387565995395516086514800988428971258483053940367455670969605376884039350281172691300808205856082251154618862165667891858464726188522022600453229566238705396883468301369",
            "value": 8.681613524321707e-78,
            "status": "finite",
            "log2": -255.99242820103245
          }
        },
        {
          "k": 54,
          "count": "12337976735875736927565368021821574731857131691531792911061561992351988000",
          "singleLikelihood": {
            "numerator": "390984202154631726285397962062094114973733436084222923059188892361028730005283620128250545943201477730470852197935379296525888775184930918604686876865194588477033216048844197455836197221629282968212910789613091760733999270414541662098840902964256430775366716487507332821724009612755665380996806498117104485272852329956152987115483364574743477867578428453583461624318018407543539829414020946891400050358840693189488542607589041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.9098420215463177e-75,
            "status": "finite",
            "log2": -247.17749680040993
          },
          "trueMass": {
            "numerator": "1205988497569695603830905489467015042078503603105278145293805335859398394395390590507296192383816963851913350408372752178129279992752966926832407689644305508184466579745804272458131352875151563030402108233597527026811455542142756371065780730311869792570448434402387320988523003478501622874343593897276560312720131424115285763812760069538768624639476140878366405795859219252649991754038731387529644325065789828268072058954577698945517845976966629401751512627096992657237250965892524954172430840877",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.04823953990278783,
            "status": "finite",
            "log2": -4.3736400425518696
          },
          "falseMass": {
            "numerator": "385561772996116778986417750681924210370535365360368528470673812260999625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.7691733782438945e-78,
            "status": "finite",
            "log2": -257.19614324214206
          },
          "noiseInformation": 0.49435499360081986,
          "jointInformation": 1.4943549936008198,
          "informationDensity": 252.8225031995901,
          "difference": 0.025359400011538497,
          "margin": -0.005359400011538496,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "390984202154631726285397962062094114973733436084222923059188892361028730005283620128250545943201477730470852197935379296525888775184930918604686876865194588477033216048844197455836197221629282968212910789613091760733999270414541662098840902964256430775366716487507332821724009612755665380996806498117104485272852329956152987115483364574743477867578428453583461624318018407543539829414020946891400050358840693189488542607589041",
            "value": 7.813452171889536e-77,
            "status": "finite",
            "log2": -252.82250319959007
          }
        },
        {
          "k": 55,
          "count": "100049774985465066721711893413316769643786922444057811606062848156163393600",
          "singleLikelihood": {
            "numerator": "43442689128292414031710884673566012774859270676024769228798765817892081111698180014250060660355719747830094688659486588502876530576103435400520764096132732053003690672093799717315133024625475885356990087734787973414888807823837962455426766996028492308374079609723036980191556623639518375666311833124122720585872481106239220790609262730527053096397603161509273513813113156393726647712668994099044450039871188132165393623065449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.344268912829242e-76,
            "status": "finite",
            "log2": -250.34742180185208
          },
          "trueMass": {
            "numerator": "2716519545030728481356484082334791458419255590833101276772915049461069110607799006900273241430213969080572496374415391269927570084685976006905322371623031599243798457407215684425891835264230288442218890263558065929080349352503380512602718210702494583264747483552852248287279088643493554555339610495885585350874639470481906316467126217243892962571749287029047560530066726195363112738895324236556673580703748805088687567140109362271216966190540993500915023392349791541049565307010434997782344217329",
            "denominator": "62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.043464312720491664,
            "status": "finite",
            "log2": -4.524024857598533
          },
          "falseMass": {
            "numerator": "1563277734147891667526748334583074525684170663188403306344732002440053025",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 3.0564569576305036e-77,
            "status": "finite",
            "log2": -254.1766030557464
          },
          "noiseInformation": 0.5006948436037042,
          "jointInformation": 1.5006948436037042,
          "informationDensity": 249.6525781981479,
          "difference": 0.03169925001442312,
          "margin": -0.01169925001442312,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "43442689128292414031710884673566012774859270676024769228798765817892081111698180014250060660355719747830094688659486588502876530576103435400520764096132732053003690672093799717315133024625475885356990087734787973414888807823837962455426766996028492308374079609723036980191556623639518375666311833124122720585872481106239220790609262730527053096397603161509273513813113156393726647712668994099044450039871188132165393623065449",
            "value": 7.032106954700582e-76,
            "status": "finite",
            "log2": -249.65257819814792
          }
        },
        {
          "k": 56,
          "count": "795038390509499190913603438730820758776521080135816538655320846955226967000",
          "singleLikelihood": {
            "numerator": "4826965458699157114634542741507334752762141186224974358755418424210231234633131112694451184483968860870010520962165176500319614508455937266724529344014748005889298963565977746368348113847275098372998898637198663712765423091537551383936307444003165812041564401080337442243506291515502041740701314791569191176208053456248802310067695858947450344044178129056585945979234795154858516412518777122116050004430132014685043735896161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.826965458699157e-77,
            "status": "finite",
            "log2": -253.51734680329446
          },
          "trueMass": {
            "numerator": "3837622849329124362551223544885657774592281707684857359250626022254526203874509708160703468052207035685253209163856663857516725992651616898644026842451584322741239090622891998633402751405023740815198114816772505836319858609092077232089554297659079649374008349781013493612187918877316291355955957684663763432187982744014121621675781481503277359823582326120400522018665692561703444980344188207199110296549740375442749102785233860986322380808859498755260906062208435669101766862284582774644898973687",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.03837622849329124,
            "status": "finite",
            "log2": -4.703643255244742
          },
          "falseMass": {
            "numerator": "99379798813687398864200429841352594847065135016977067331915105869403370875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.428791689545668e-76,
            "status": "finite",
            "log2": -251.18629645195023
          },
          "noiseInformation": 0.5070346936065889,
          "jointInformation": 1.507034693606589,
          "informationDensity": 246.48265319670554,
          "difference": 0.038039100017307745,
          "margin": -0.018039100017307744,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4826965458699157114634542741507334752762141186224974358755418424210231234633131112694451184483968860870010520962165176500319614508455937266724529344014748005889298963565977746368348113847275098372998898637198663712765423091537551383936307444003165812041564401080337442243506291515502041740701314791569191176208053456248802310067695858947450344044178129056585945979234795154858516412518777122116050004430132014685043735896161",
            "value": 6.328896259230524e-75,
            "status": "finite",
            "log2": -246.48265319670554
          }
        },
        {
          "k": 57,
          "count": "6192930620810835802905963628008498542048690518952676195841446597335452164000",
          "singleLikelihood": {
            "numerator": "536329495411017457181615860167481639195793465136108262083935380467803470514792345854939020498218762318890057884685019611146623834272881918524947704890527556209922107062886416263149790427475010930333210959688740412529491454615283487104034160444796201337951600120037493582611810168389115748966812754618799019578672606249866923340855095438605593782686458784065105108803866128317612934724308569124005556047792446076115970655129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.363294954110175e-78,
            "status": "finite",
            "log2": -256.68727180473684
          },
          "trueMass": {
            "numerator": "830362838743728663242077609127306068186634053709589019253059431715891634756472860830093732853401522341253618357091792764491923168000642252922976568249758011353367522532438619587344454982373557954165673966202238104934706248750917295832242742768338871501978414864897656512578672505618144913277020083816135947315528429991359649134525817635212060312704947757045726986494915934403669381711900372317936146037078326850185478380430718459028819239343868151723120025156211226647750724587892179309130187289",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.03321451354974915,
            "status": "finite",
            "log2": -4.9120424045015625
          },
          "falseMass": {
            "numerator": "193529081900338618840811363375265579439021578717271131120045206166732880125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.8919008950145203e-75,
            "status": "finite",
            "log2": -248.22477059976487
          },
          "noiseInformation": 0.5133745436094737,
          "jointInformation": 1.5133745436094737,
          "informationDensity": 243.31272819526316,
          "difference": 0.04437895002019237,
          "margin": -0.02437895002019237,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "536329495411017457181615860167481639195793465136108262083935380467803470514792345854939020498218762318890057884685019611146623834272881918524947704890527556209922107062886416263149790427475010930333210959688740412529491454615283487104034160444796201337951600120037493582611810168389115748966812754618799019578672606249866923340855095438605593782686458784065105108803866128317612934724308569124005556047792446076115970655129",
            "value": 5.696006633307472e-74,
            "status": "finite",
            "log2": -243.31272819526316
          }
        },
        {
          "k": 58,
          "count": "47301176983089659667023135986340773347027067239586819909616566252062160494000",
          "singleLikelihood": {
            "numerator": "59592166156779717464623984463053515466199273904012029120437264496422607834976927317215446722024306924321117542742779956794069314919209102058327522765614172912213567451431824029238865603052778992259245662187637823614387939401698165233781573382755133481994622235559721509179090018709901749885201417179866557730963622916651880371206121715400621531409606531562789456533762903146401437191589841013778395116421382897346218961681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.959216615677972e-79,
            "status": "finite",
            "log2": -259.8571968061792
          },
          "trueMass": {
            "numerator": "1409389799093761677456859696717994590830187301890221975207300108238084268954473093286327676835466951713315528475830131014061003691280783594041680535381773176358397748972683174242121048111844774611859745467538664676191857732554238935071584425465034942817534244387546597069242727662792483511807355927703249902914862430981503159258984433763980623442637133549315161130334282601305844965894145076386382040974811106492843551427321104510918647214671776211545372303234488786992159275833089024651129015207",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.028187795981875235,
            "status": "finite",
            "log2": -5.148785512516497
          },
          "falseMass": {
            "numerator": "2956323561443103729188945999146298334189191702474176244351035390753885030875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.4450208560197112e-74,
            "status": "finite",
            "log2": -245.29158870633742
          },
          "noiseInformation": 0.5197143936123584,
          "jointInformation": 1.5197143936123583,
          "informationDensity": 240.1428031938208,
          "difference": 0.05071880002307699,
          "margin": -0.030718800023076993,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "59592166156779717464623984463053515466199273904012029120437264496422607834976927317215446722024306924321117542742779956794069314919209102058327522765614172912213567451431824029238865603052778992259245662187637823614387939401698165233781573382755133481994622235559721509179090018709901749885201417179866557730963622916651880371206121715400621531409606531562789456533762903146401437191589841013778395116421382897346218961681",
            "value": 5.126405969976724e-73,
            "status": "finite",
            "log2": -240.14280319382078
          }
        },
        {
          "k": 59,
          "count": "354357969941112365641088578067163081684507859659277532204246140396804659972000",
          "singleLikelihood": {
            "numerator": "6621351795197746384958220495894835051799919322668003235604140499602511981664103035246160746891589658257901949193642217421563257213245455784258613640623796990245951939047980447693207289228086554695471740243070869290487548822410907248197952598083903720221624692839969056575454446523322416653911268575540728636773735879627986707911791301711180170156622947951421050725973655905155715243509982334864266124046820321927357662409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.621351795197747e-80,
            "status": "finite",
            "log2": -263.02712180762137
          },
          "trueMass": {
            "numerator": "586582195103053353517826728765869688462281344101203496272718124144287426438679008693556340076531443180118138970166589367434052383753395808442959318868873581874210739214619550861598402321502250827158199149389915053556309903756095677308512538658705691831779789095381917047650928085644329295874624595145797040572852348864241427864850395220037133297218091364215914519404663756852338488630143242714482921008348878596833191836982983233357855055447198762243930845602301359557941996156521044158002848137",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.023463287804122136,
            "status": "finite",
            "log2": -5.413451003929367
          },
          "falseMass": {
            "numerator": "11073686560659761426284018064598846302640870614352422881382691887400145624125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.082541048069004e-73,
            "status": "finite",
            "log2": -242.38632919630783
          },
          "noiseInformation": 0.5260542436152428,
          "jointInformation": 1.526054243615243,
          "informationDensity": 236.9728781923786,
          "difference": 0.05705865002596162,
          "margin": -0.03705865002596162,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6621351795197746384958220495894835051799919322668003235604140499602511981664103035246160746891589658257901949193642217421563257213245455784258613640623796990245951939047980447693207289228086554695471740243070869290487548822410907248197952598083903720221624692839969056575454446523322416653911268575540728636773735879627986707911791301711180170156622947951421050725973655905155715243509982334864266124046820321927357662409",
            "value": 4.613765372979052e-72,
            "status": "finite",
            "log2": -236.97287819237863
          }
        },
        {
          "k": 60,
          "count": "2604531079067175887462001048793648650381132768495689861701209131916514250794200",
          "singleLikelihood": {
            "numerator": "735705755021971820550913388432759450199991035852000359511571166622501331296011448360684527432398850917544661021515801935729250801471717309362068182291532998916216882116442271965911921025342950521719082249230096587831949869156767472021994733120433746691291632537774339619494938502591379628212363175060080959641526208847554078656865700190131130017402549772380116747330406211683968360389998037207140680449646702436373073601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.357057550219718e-81,
            "status": "finite",
            "log2": -266.19704680906375
          },
          "trueMass": {
            "numerator": "9580842520016538107457836569842538244883928620319657105787729361023361298498423808661420221250013571941929603179387626334756188934638798204568335541524935170612108740505452664072773904584536763510250586106701945874753061761349562729372371464758859633252403221891237978444965158732190711832618868387381351662689921698115943321792556455260606510521228825615526603816942841361921528647625672964336554376469698350414942133337388726144844965905637579783317537144837588872779719270556510387914046519571",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.01916168504003308,
            "status": "finite",
            "log2": -5.705631755422473
          },
          "falseMass": {
            "numerator": "325566384883396985932750131099206081297641596061961232712651141489564281349275",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.956676703307179e-73,
            "status": "finite",
            "log2": -239.50858494635884
          },
          "noiseInformation": 0.5323940936181275,
          "jointInformation": 1.5323940936181275,
          "informationDensity": 233.80295319093625,
          "difference": 0.06339850002884624,
          "margin": -0.04339850002884624,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "735705755021971820550913388432759450199991035852000359511571166622501331296011448360684527432398850917544661021515801935729250801471717309362068182291532998916216882116442271965911921025342950521719082249230096587831949869156767472021994733120433746691291632537774339619494938502591379628212363175060080959641526208847554078656865700190131130017402549772380116747330406211683968360389998037207140680449646702436373073601",
            "value": 4.152388835681147e-71,
            "status": "finite",
            "log2": -233.80295319093625
          }
        },
        {
          "k": 61,
          "count": "18786781553927170335791482974905006658486859313739402281123475705627315907368000",
          "singleLikelihood": {
            "numerator": "81745083891330202283434820936973272244443448428000039945730129624722370144001272040076058603599872324171629002390644659525472311274635256595785353587948110990690764679604696885101324558371438946857675805470010731981327763239640830224666081457825971854587959170863815513277215389176819958690262575006675662182391800983061564295207300021125681113044727752486679638592267356853774262265555337467460075605516300270708119289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.17450838913302e-82,
            "status": "finite",
            "log2": -269.36697181050613
          },
          "trueMass": {
            "numerator": "191965879271733914721377417610688380134286365798754513959316981732708514177564047168079457984972949528891121375178987048601672273735932204463117834165344784839222579500109251921312409745773960653210849630553226602226381929644526757783417278893164764964984399710024804668296205366218757431983256015047713785591237046774636387139741568320340021157984548418526033956259328333298974162338583611307289796249848236529261135640639846971936784380622975186915287629495835114026551752233372703582977252669",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.015357270341738713,
            "status": "finite",
            "log2": -6.024934380903005
          },
          "falseMass": {
            "numerator": "293543461780112036496741921482890729038857176777178160642554307900426811052625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 5.739242212221572e-72,
            "status": "finite",
            "log2": -236.65796257039705
          },
          "noiseInformation": 0.5387339436210122,
          "jointInformation": 1.5387339436210121,
          "informationDensity": 230.63302818949387,
          "difference": 0.06973835003173086,
          "margin": -0.049738350031730855,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "81745083891330202283434820936973272244443448428000039945730129624722370144001272040076058603599872324171629002390644659525472311274635256595785353587948110990690764679604696885101324558371438946857675805470010731981327763239640830224666081457825971854587959170863815513277215389176819958690262575006675662182391800983061564295207300021125681113044727752486679638592267356853774262265555337467460075605516300270708119289",
            "value": 3.7371499521130325e-70,
            "status": "finite",
            "log2": -230.63302818949387
          }
        },
        {
          "k": 62,
          "count": "133022533906032706087297758483601579404447278044058025829245255399522446505396000",
          "singleLikelihood": {
            "numerator": "9082787099036689142603868992997030249382605380888893327303347736080263349333474671119562067066652480463514333598960517725052479030515028510642817065327567887854529408844966320566813839819048771873075089496667859109036418137737870024962897939758441317176439907873757279253023932130757773187806952778519518020265755664784618255023033335680631234782747528054075515399140817428197140251728370829717786178390700030078679921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.082787099036689e-83,
            "status": "finite",
            "log2": -272.5368968119483
          },
          "trueMass": {
            "numerator": "302053838710721105959443320183126160856457758371516959240645716776555690766848088554791691954849909832197857647683065642781842753297757124585335946948338209836626209320960435818839239707508131637131050135529987377696708484279380812426237223778133805805118822482798886198501914536810159543514872367763248573027071912308478042847120245493294872001273178335960318662357867879276880491995119015641219428507825719843532754646024705450466839939403176010952728563973733387303427309069715472662820838429",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.012082153548428844,
            "status": "finite",
            "log2": -6.3709785631970135
          },
          "falseMass": {
            "numerator": "4156954184563522065228054952612549356388977438876813307163914231235076453293625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 4.063753759943984e-71,
            "status": "finite",
            "log2": -233.8340817512486
          },
          "noiseInformation": 0.5450737936238965,
          "jointInformation": 1.5450737936238965,
          "informationDensity": 227.46310318805175,
          "difference": 0.07607820003461549,
          "margin": -0.056078200034615486,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9082787099036689142603868992997030249382605380888893327303347736080263349333474671119562067066652480463514333598960517725052479030515028510642817065327567887854529408844966320566813839819048771873075089496667859109036418137737870024962897939758441317176439907873757279253023932130757773187806952778519518020265755664784618255023033335680631234782747528054075515399140817428197140251728370829717786178390700030078679921",
            "value": 3.363434956901729e-69,
            "status": "finite",
            "log2": -227.46310318805172
          }
        },
        {
          "k": 63,
          "count": "924823330965751194702165368505039552049966790211070084336657489920489389989896000",
          "singleLikelihood": {
            "numerator": "1009198566559632126955985443666336694375845042320988147478149748453362594370386074568840229674072497829279370399884501969450275447835003167849201896147507543094947712093885146729645982202116530208119454388518651012115157570859763336106988659973160146352937767541528586583669325792306419243089661419835502002251750629420513139447003703964514581642527503117119501711015646380910793361303152314413087353154522225564297769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0091985665596321e-83,
            "status": "finite",
            "log2": -275.70682181339066
          },
          "trueMass": {
            "numerator": "116666297491442543571636837954329152076832890799580624468609192194119393788253494521162928638645732369049966181380231703296690587252572857644071556228723223905151922118677840289816214278561341849262257459754968669692379467472988356122303266327004062559649069001292691494659469635910802363368178216120196538788234124859888344591744856724923416169803926023942345303450393413688953840823511577469888985614133743643269265022009542316846980505695406607405022143757050461762699436836450949758655667753",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.009333303799315403,
            "status": "finite",
            "log2": -6.7433964285380625
          },
          "falseMass": {
            "numerator": "14450364546339862417221333882891243000780731097047970067760273280007646718592125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 2.8252764235801032e-70,
            "status": "finite",
            "log2": -231.03657461514732
          },
          "noiseInformation": 0.5514136436267814,
          "jointInformation": 1.5514136436267814,
          "informationDensity": 224.2931781866093,
          "difference": 0.0824180500375001,
          "margin": -0.0624180500375001,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1009198566559632126955985443666336694375845042320988147478149748453362594370386074568840229674072497829279370399884501969450275447835003167849201896147507543094947712093885146729645982202116530208119454388518651012115157570859763336106988659973160146352937767541528586583669325792306419243089661419835502002251750629420513139447003703964514581642527503117119501711015646380910793361303152314413087353154522225564297769",
            "value": 3.0270914612115563e-68,
            "status": "finite",
            "log2": -224.29317818660934
          }
        },
        {
          "k": 64,
          "count": "6314809306750519876325722906823473191341179489409962919611239423363341616024758625",
          "singleLikelihood": {
            "numerator": "112133174062181347439553938185148521597316115813443127497572194272595843818931786063204469963785833092142152266653833552161141716426111463094355766238611949232771968010431682969960664689124058912013272709835405668012795285651084815122998739997017794039215307504614287398185480643589602138121073491092833555805750069935612571049667078218279397960280833679679944634557294042323421484589239146045898594794946913951588641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1213317406218135e-84,
            "status": "finite",
            "log2": -278.87674681483304
          },
          "trueMass": {
            "numerator": "5664796889306710171200588687337982161952885919935192543642468554314463898385197456194244423898687227252759469029240139371183754069930482087828807785772449871839043329540246245183298404414589598680845167768102367628396647476188434625049614153877863926507404794840545131462909803432557848087988208938280654161162034729307911842954722487643503651800479519162533877511980213531341425382208284372704609634819605108012074312735352221384681164554321409715110519646870116865588850433058785004948058534229",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.007080996111633388,
            "status": "finite",
            "log2": -7.141831960479749
          },
          "falseMass": {
            "numerator": "6314809306750519876325722906823473191341179489409962919611239423363341616024758625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.929134057975789e-69,
            "status": "finite",
            "log2": -228.2650851456467
          },
          "noiseInformation": 0.5577534936296661,
          "jointInformation": 1.557753493629666,
          "informationDensity": 221.12325318516696,
          "difference": 0.08875790004038474,
          "margin": -0.06875790004038473,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "112133174062181347439553938185148521597316115813443127497572194272595843818931786063204469963785833092142152266653833552161141716426111463094355766238611949232771968010431682969960664689124058912013272709835405668012795285651084815122998739997017794039215307504614287398185480643589602138121073491092833555805750069935612571049667078218279397960280833679679944634557294042323421484589239146045898594794946913951588641",
            "value": 2.7243823150904007e-67,
            "status": "finite",
            "log2": -221.12325318516696
          }
        },
        {
          "k": 65,
          "count": "42357797811434256401200233651923604791150065498196058968469236747483337609027611700",
          "singleLikelihood": {
            "numerator": "12459241562464594159950437576127613510812901757049236388619132696955093757659087340356052218198425899126905807405981505795682412936234607010483974026512438803641329778936853663328962743236006545779252523315045074223643920627898312791444304444113088226579478611623809710909497849287733570902341499010314839533972229992845841227740786468697710884475648186631104959395254893591491276065471016227322066088327434883509849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2459241562464596e-85,
            "status": "finite",
            "log2": -282.0466718162752
          },
          "trueMass": {
            "numerator": "5277460349866935116759522794186667142332175771563555446641274123250227050632363442095492668418435109150006684822112608474008796526687372201481538877343564410516715580511853339529739539155472361164206181937804769841839611751320849351541948228826386051190659167842901019909890329693579533688809527985235823107407365687987712742581750009855913658514976646057403355972699515170224062962911991424143610685430230399771932479385926428469489290054880629563649971294947373832044313651311175773840498976333",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.005277460349866936,
            "status": "finite",
            "log2": -7.565940450173457
          },
          "falseMass": {
            "numerator": "10589449452858564100300058412980901197787516374549014742117309186870834402256902925",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.2940037681191447e-68,
            "status": "finite",
            "log2": -225.51926863389826
          },
          "noiseInformation": 0.5640933436325504,
          "jointInformation": 1.5640933436325504,
          "informationDensity": 217.9533281837248,
          "difference": 0.09509775004326936,
          "margin": -0.07509775004326935,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12459241562464594159950437576127613510812901757049236388619132696955093757659087340356052218198425899126905807405981505795682412936234607010483974026512438803641329778936853663328962743236006545779252523315045074223643920627898312791444304444113088226579478611623809710909497849287733570902341499010314839533972229992845841227740786468697710884475648186631104959395254893591491276065471016227322066088327434883509849",
            "value": 2.45194408358136e-66,
            "status": "finite",
            "log2": -217.9533281837248
          }
        },
        {
          "k": 66,
          "count": "279176394666271235371546994524041940668943613510837661383092696744776543332227440750",
          "singleLikelihood": {
            "numerator": "1384360173607177128883381952903068167868100195227692932068792521883899306406565260039561357577602877680767311933997945088409156992914956334498219336279159867071258864326317073703218082581778505086583613701671674913738213403099812532382700493790343136286608734624867745656610872143081507878037944334479426614885803332538426803082309607633078987163960909625678328821694988176832364007274557358591340676480826098167761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3843601736071771e-86,
            "status": "finite",
            "log2": -285.2165968177176
          },
          "trueMass": {
            "numerator": "1545922728748900185717435970014276233612455529043869777298959086608652368367055957785548357415501193589395897574154198441881364639130644382252167953969326948535199513483270170165277238742512105795575548244407457832458068088770753850451681804403688843278071877448930601791786056172866732090661376884564028991058723282339835045806775255412338344413478007430956538618265514544813109352772199508082471816944208904983697392951432994198133226379712507649958072399530038799285708039272970681226004750643",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0038648068218722505,
            "status": "finite",
            "log2": -8.015387980238302
          },
          "falseMass": {
            "numerator": "139588197333135617685773497262020970334471806755418830691546348372388271666113720375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 8.52866119896709e-68,
            "status": "finite",
            "log2": -222.79879116252062
          },
          "noiseInformation": 0.5704331936354351,
          "jointInformation": 1.5704331936354352,
          "informationDensity": 214.78340318228246,
          "difference": 0.10143760004615399,
          "margin": -0.08143760004615398,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1384360173607177128883381952903068167868100195227692932068792521883899306406565260039561357577602877680767311933997945088409156992914956334498219336279159867071258864326317073703218082581778505086583613701671674913738213403099812532382700493790343136286608734624867745656610872143081507878037944334479426614885803332538426803082309607633078987163960909625678328821694988176832364007274557358591340676480826098167761",
            "value": 2.2067496752232247e-65,
            "status": "finite",
            "log2": -214.78340318228243
          }
        },
        {
          "k": 67,
          "count": "1808396347539727106735095457066182123139127287517963358809884035630343579196816556500",
          "singleLikelihood": {
            "numerator": "153817797067464125431486883655896463096455577247521436896532502431544367378507251115506817508622541964529701325999771676489906332546106259388691037364351096341250984925146341522579786953530945009620401522407963879304245933677756948042522277087815904031845414958318638406290096904786834208670882703831047401653978148059825200342478845292564331907106767736186480980188332019648040445252728595399037852942314010907529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5381779706746413e-87,
            "status": "finite",
            "log2": -288.38652181915995
          },
          "trueMass": {
            "numerator": "556327084806818143118878284399830750736157296521591611399459571797806905365922293266109442054997941971639983040781859140776544157033747646681128434513008205360096674006417291751020167175995235418971631789446796599740299793139724022467686486825208091196254722067028093845468613912955357982874823853980753384842028113213506144179220945977574495419112317765369102620503510209327437362440410104898667303941779987365609177894628457281915273838138663615324878458869018937719732412143009349628595407777",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.002781635424034091,
            "status": "finite",
            "log2": -8.489850939693724
          },
          "falseMass": {
            "numerator": "452099086884931776683773864266545530784781821879490839702471008907585894799204139125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 5.524535761718981e-67,
            "status": "finite",
            "log2": -220.1033291205339
          },
          "noiseInformation": 0.5767730436383199,
          "jointInformation": 1.5767730436383198,
          "informationDensity": 211.61347818084002,
          "difference": 0.10777745004903862,
          "margin": -0.08777745004903861,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "153817797067464125431486883655896463096455577247521436896532502431544367378507251115506817508622541964529701325999771676489906332546106259388691037364351096341250984925146341522579786953530945009620401522407963879304245933677756948042522277087815904031845414958318638406290096904786834208670882703831047401653978148059825200342478845292564331907106767736186480980188332019648040445252728595399037852942314010907529",
            "value": 1.986074707700902e-64,
            "status": "finite",
            "log2": -211.61347818084005
          }
        },
        {
          "k": 68,
          "count": "11515229683598556429651416660436130284106501698459972564186467462175570144003258367125",
          "singleLikelihood": {
            "numerator": "17090866340829347270165209295099607010717286360835715210725833603504929708723027901722979723180282440503300147333307964054434036949567362154299004151594566260138998325016260169175531883725660556624489058045329319922693992630861883115835808565312878225760601662035404267365566322754092689852320300425671933517108683117758355593608760588062703545234085304020720108909814668849782271694747621711004205882479334545281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7090866340829347e-88,
            "status": "finite",
            "log2": -291.55644682060233
          },
          "trueMass": {
            "numerator": "1574442011250668339676302595719782451429778492770255998274287546329741111264342176367486198756954959958954984684042777829779370065330802163483193543425702960267463136240383577308442695341215274094213833757061849200572220983199349684500053913694869957437766631732177546634561502119671045794671887116167753043376458647199007584507206990903854617754742703218332166239725620396331897895011095264190346030109743362936658653780223019627904010273947982649906355377060687581912706761162895741105763474297",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0019680525140633354,
            "status": "finite",
            "log2": -8.989015567659862
          },
          "falseMass": {
            "numerator": "11515229683598556429651416660436130284106501698459972564186467462175570144003258367125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.5178293894475274e-66,
            "status": "finite",
            "log2": -217.43256874705753
          },
          "noiseInformation": 0.5831128936412047,
          "jointInformation": 1.5831128936412047,
          "informationDensity": 208.44355317939767,
          "difference": 0.11411730005192323,
          "margin": -0.09411730005192323,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "17090866340829347270165209295099607010717286360835715210725833603504929708723027901722979723180282440503300147333307964054434036949567362154299004151594566260138998325016260169175531883725660556624489058045329319922693992630861883115835808565312878225760601662035404267365566322754092689852320300425671933517108683117758355593608760588062703545234085304020720108909814668849782271694747621711004205882479334545281",
            "value": 1.787467236930812e-63,
            "status": "finite",
            "log2": -208.44355317939767
          }
        },
        {
          "k": 69,
          "count": "72095351062530092429121913004469685257014619329488523880123970197968786988542139342000",
          "singleLikelihood": {
            "numerator": "1898985148981038585573912143899956334524142928981746134525092622611658856524780877969219969242253604500366683037034218228270448549951929128255444905732729584459888702779584463241725764858406728513832117560592146658077110292317987012870645396145875358417844629115044918596174035861565854428035588936185770390789853679750928399289862287562522616137120589335635567656646074316642474632749735745667133986942148282809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8989851489810383e-89,
            "status": "finite",
            "log2": -294.7263718220445
          },
          "trueMass": {
            "numerator": "68454000489159493029404460683468802236077325772619826011925545492597439620188790276847226032911085215606738464523599036077363915883947920151443197540247954794237527662625372926454030232226751047574514511176602139155313955791276073239132778856298693801642027466616415071067891396507436773681386396355119697538106897704304677587269869169732809467597508835579659401727200886797039038913525881051754175222162754910289506686096653027300174359736868810865493712046116851387508989615778075700250585839",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0013690800097831898,
            "status": "finite",
            "log2": -9.5125775237168
          },
          "falseMass": {
            "numerator": "4505959441408130776820119562779355328563413708093032742507748137373049186783883708875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.20246709600193e-65,
            "status": "finite",
            "log2": -214.78620570167223
          },
          "noiseInformation": 0.589452743644089,
          "jointInformation": 1.589452743644089,
          "informationDensity": 205.27362817795552,
          "difference": 0.12045715005480787,
          "margin": -0.10045715005480786,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1898985148981038585573912143899956334524142928981746134525092622611658856524780877969219969242253604500366683037034218228270448549951929128255444905732729584459888702779584463241725764858406728513832117560592146658077110292317987012870645396145875358417844629115044918596174035861565854428035588936185770390789853679750928399289862287562522616137120589335635567656646074316642474632749735745667133986942148282809",
            "value": 1.6087205132377307e-62,
            "status": "finite",
            "log2": -205.27362817795552
          }
        },
        {
          "k": 70,
          "count": "443901375827863854813593492927520490653904299014422197033334730790350674172309457948600",
          "singleLikelihood": {
            "numerator": "210998349886782065063768015988884037169349214331305126058343624734628761836086764218802218804694844944485187004114913136474494283327992125361716100636969953828876522531064940360191751650934080945981346395621349628675234476924220779207849488460652817601982736568338324288463781762396206047559509881798418932309983742194547599921095809729169179570791176592848396406294008257404719403638859527296348220771349809201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1099834988678205e-90,
            "status": "finite",
            "log2": -297.89629682348686
          },
          "trueMass": {
            "numerator": "468312289060757801518624167532937361329354403301573730335554128687452325020656644592399276510867900443277845685867796580148315043587008787067809811743601087560577371787167233830185508414122693674676440544716119396443497062635555358191527423604202175055677997430344045962385098284042940467566310108397723645062286871596116127620846247811981601278325814414838622256260691781103552790027454837036603960646859482005313926693772340551847224588041118372746472855426608935682799595625402390901714325343",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0009366245781215157,
            "status": "finite",
            "log2": -10.060241483015034
          },
          "falseMass": {
            "numerator": "55487671978482981851699186615940061331738037376802774629166841348793834271538682243575",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.3560904548240456e-64,
            "status": "finite",
            "log2": -212.16394465952808
          },
          "noiseInformation": 0.5957925936469737,
          "jointInformation": 1.5957925936469737,
          "informationDensity": 202.10370317651316,
          "difference": 0.12679700005769248,
          "margin": -0.10679700005769248,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "210998349886782065063768015988884037169349214331305126058343624734628761836086764218802218804694844944485187004114913136474494283327992125361716100636969953828876522531064940360191751650934080945981346395621349628675234476924220779207849488460652817601982736568338324288463781762396206047559509881798418932309983742194547599921095809729169179570791176592848396406294008257404719403638859527296348220771349809201",
            "value": 1.4478484619139576e-61,
            "status": "finite",
            "log2": -202.10370317651314
          }
        },
        {
          "k": 71,
          "count": "2688416783182837430561200027589208605368716177129599221469492031547194223860465731238000",
          "singleLikelihood": {
            "numerator": "23444261098531340562640890665431559685483246036811680673149291637180973537342973802089135422743871660498354111568323681830499364814221347262412900070774439314319613614562771151132416850103786771775705155069038847630581608547135642134205498717850313066886970729815369365384864640266245116395501097977602103589998193577171955546788423303241019952310130732538710711810445361933857711515428836366260913419038867689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3444261098531342e-91,
            "status": "finite",
            "log2": -301.06622182492924
          },
          "trueMass": {
            "numerator": "31513972503306080540376900162623327914181908203392285452940262180845774610153733517172408278509107541566427800457457359853485988848578056093764979507002890086236035973158358458056301818164750904555691617250067502421080397016164132084875867316088722265092572597034106379315429149004454522856574858624572952641124155678611883392326116832418167222172159655458624032893911966490536416230329511725467872156204941668589200074854789739795666130337665242610482523917596532448138313946623322079458084491",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0006302794500661217,
            "status": "finite",
            "log2": -10.631720754372509
          },
          "falseMass": {
            "numerator": "168026048948927339410075001724325537835544761070599951341843251971699638991279108202375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 8.212942191187882e-64,
            "status": "finite",
            "log2": -209.56549892944332
          },
          "noiseInformation": 0.6021324436498585,
          "jointInformation": 1.6021324436498585,
          "informationDensity": 198.93377817507073,
          "difference": 0.13313685006057713,
          "margin": -0.11313685006057712,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "23444261098531340562640890665431559685483246036811680673149291637180973537342973802089135422743871660498354111568323681830499364814221347262412900070774439314319613614562771151132416850103786771775705155069038847630581608547135642134205498717850313066886970729815369365384864640266245116395501097977602103589998193577171955546788423303241019952310130732538710711810445361933857711515428836366260913419038867689",
            "value": 1.303063615722562e-60,
            "status": "finite",
            "log2": -198.93377817507076
          }
        },
        {
          "k": 72,
          "count": "16018483333131073023760483497719034606988600555397195361255723354635365583835274981959750",
          "singleLikelihood": {
            "numerator": "2604917899836815618071210073936839965053694004090186741461032404131219281926997089121015046971541295610928234618702631314499929423802371918045877785641604368257734846062530127903601872233754085752856128341004316403397956505237293570467277635316701451876330081090596596153873848918471679599500121997511344843333132619685772838532047033693446661367792303615412301312271706881539745723936537374028990379893207521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6049178998368155e-92,
            "status": "finite",
            "log2": -304.2361468263714
          },
          "trueMass": {
            "numerator": "166907335850843315454588767527967995989926402706855437769276203402257250713036440479839051252844532534962932424645051942927722089086913408200310817388941232678953820154135009611187079999909606642646811158028135290600536917530054477338416630600025454959564365976884341194152087715097666546981118695678293786210398306001537012040838322482807330102615512249280860618660348563264692871145819265805255767345826172541046504100156849362621490986603189988640703737785789042225325144235819816939352077119",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00041726833962710833,
            "status": "finite",
            "log2": -11.226736919757514
          },
          "falseMass": {
            "numerator": "8009241666565536511880241748859517303494300277698597680627861677317682791917637490979875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.893544722249447e-63,
            "status": "finite",
            "log2": -206.9905900933861
          },
          "noiseInformation": 0.6084722936527428,
          "jointInformation": 1.608472293652743,
          "informationDensity": 195.7638531736286,
          "difference": 0.13947670006346172,
          "margin": -0.11947670006346171,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2604917899836815618071210073936839965053694004090186741461032404131219281926997089121015046971541295610928234618702631314499929423802371918045877785641604368257734846062530127903601872233754085752856128341004316403397956505237293570467277635316701451876330081090596596153873848918471679599500121997511344843333132619685772838532047033693446661367792303615412301312271706881539745723936537374028990379893207521",
            "value": 1.1727572541503057e-59,
            "status": "finite",
            "log2": -195.7638531736286
          }
        },
        {
          "k": 73,
          "count": "93916587213426017180403930644160915230015356680958898830376021860053924244952023181901000",
          "singleLikelihood": {
            "numerator": "289435322204090624230134452659648885005966000454465193495670267125691031325221898791223894107949032845658692735411403479388881047089152435338430865071289374250859427340281125322622430248194898416984014260111590711488661833915254841163030848368522383541814453454510732905985983213163519955500013555279038315925903624409530315392449670410382962374199144846156922368030189653504416191548504152669887819988134169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.8943532220409063e-93,
            "status": "finite",
            "log2": -307.4060718278138
          },
          "trueMass": {
            "numerator": "27182777680426536915739723174265716241890601354084523350551832213153007345958750580430408651528713822284678492293790803490511816639725623557737073760451616281047273601967193346114181978676298189898339107928478654633572983524681627207322038773520127367843816072338850087936489171256393181928431811929341605973382981342716073498279605031446551477899330001024432399081670161749348762880673761706487621165910807400139993818442591905328005381379819374101301826397381168216301050887721035635480475269",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0002718277768042654,
            "status": "finite",
            "log2": -11.84501949367882
          },
          "falseMass": {
            "numerator": "11739573401678252147550491330520114403751919585119862353797002732506740530619002897737625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.8690919741407715e-62,
            "status": "finite",
            "log2": -204.43894766586496
          },
          "noiseInformation": 0.6148121436556275,
          "jointInformation": 1.6148121436556275,
          "informationDensity": 192.59392817218622,
          "difference": 0.14581655006634636,
          "margin": -0.12581655006634637,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "289435322204090624230134452659648885005966000454465193495670267125691031325221898791223894107949032845658692735411403479388881047089152435338430865071289374250859427340281125322622430248194898416984014260111590711488661833915254841163030848368522383541814453454510732905985983213163519955500013555279038315925903624409530315392449670410382962374199144846156922368030189653504416191548504152669887819988134169",
            "value": 1.055481528735275e-58,
            "status": "finite",
            "log2": -192.59392817218622
          }
        },
        {
          "k": 74,
          "count": "541924091082877153189628086284550145989412936523911483791494072084365211521547485117185500",
          "singleLikelihood": {
            "numerator": "32159480244898958247792716962183209445107333383829465943963363013965670147246877643469321567549892538406521415045711497709875671898794715037603429452365486027873269704475680591402492249799433157442668251123510079054295759323917204573670094263169153726868272606056748100665109245907057772833334839475448701769544847156614479488049963378931440263799904982906324707558909961500490687949833794741098646665348241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.215948024489896e-94,
            "status": "finite",
            "log2": -310.57599682925616
          },
          "trueMass": {
            "numerator": "34855994202829223012074660046280663169030891225808082494551448513562564975148307801332686168777059465812485634262608627899244881997486009787248439927065586042063621105225199876248515630314652633893666063319700857443050041937054218671250782451330613771979908296963029992639281910289729395445766917999486083335238837937957247398694868914197229672861903634947245148371991468669585350600743832578589231945477221501080412493918879109835009903450999617841609248863909185670752398585756403052102591411",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00017427997101414613,
            "status": "finite",
            "log2": -12.486305601129516
          },
          "falseMass": {
            "numerator": "135481022770719288297407021571137536497353234130977870947873518021091302880386871279296375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.655543612105553e-61,
            "status": "finite",
            "log2": -201.91030877187342
          },
          "noiseInformation": 0.6211519936585123,
          "jointInformation": 1.6211519936585121,
          "informationDensity": 189.42400317074387,
          "difference": 0.15215640006923098,
          "margin": -0.132156400069231,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "32159480244898958247792716962183209445107333383829465943963363013965670147246877643469321567549892538406521415045711497709875671898794715037603429452365486027873269704475680591402492249799433157442668251123510079054295759323917204573670094263169153726868272606056748100665109245907057772833334839475448701769544847156614479488049963378931440263799904982906324707558909961500490687949833794741098646665348241",
            "value": 9.499333758617475e-58,
            "status": "finite",
            "log2": -189.42400317074384
          }
        },
        {
          "k": 75,
          "count": "3078128837350742230117087530096244829219865479455817227935686329439194401442389715465613640",
          "singleLikelihood": {
            "numerator": "3573275582766550916421412995798134382789703709314385104884818112662852238582986404829924618616654726489613490560634610856652852433199412781955936605818387336430363300497297843489165805533270350826963139013723342117143973258213022730407788251463239302985363622895194233407234360656339752537037204386160966863282760795179386609783329264325715584866656109211813856395434440166721187549981532749010960740594249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.573275582766551e-95,
            "status": "finite",
            "log2": -313.7459218306983
          },
          "trueMass": {
            "numerator": "274975065377874981539700095920658565000132586336930428568128093829215790359503317099402301998130135785854053336960579175649598513535722966099404359424628512109613010941221021245960512194704481889605587832855417875384061441947872169517645061560497064201174832120486125497487668403396754119627716797551501324089106388177218285034148410323111478530355017564583822837156821586171173321405868012564426163125431414064078809674248935199809522571668996985194917407704172464735935588843189401855475998909",
            "denominator": "2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00010999002615114998,
            "status": "finite",
            "log2": -13.150339672841937
          },
          "falseMass": {
            "numerator": "384766104668842778764635941262030603652483184931977153491960791179899300180298714433201705",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.403487716759541e-61,
            "status": "finite",
            "log2": -199.40441784214346
          },
          "noiseInformation": 0.6274918436613967,
          "jointInformation": 1.6274918436613968,
          "informationDensity": 186.25407816930166,
          "difference": 0.15849625007211562,
          "margin": -0.13849625007211563,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3573275582766550916421412995798134382789703709314385104884818112662852238582986404829924618616654726489613490560634610856652852433199412781955936605818387336430363300497297843489165805533270350826963139013723342117143973258213022730407788251463239302985363622895194233407234360656339752537037204386160966863282760795179386609783329264325715584866656109211813856395434440166721187549981532749010960740594249",
            "value": 8.549400382755727e-57,
            "status": "finite",
            "log2": -186.2540781693017
          }
        },
        {
          "k": 76,
          "count": "17213220472027176944733713161722421742347931957483188445692982763311284481750205645695865750",
          "singleLikelihood": {
            "numerator": "397030620307394546269045888422014931421078189923820567209424234740316915398109600536658290957406080721068165617848290095183650270355490309106215178424265259603373700055255315943240645059252261202995904334858149124127108139801446970045309805718137700331707069210577137045248262295148861393004133820684551873698084532797709623309258807147301731651850678801312650710603826685191243061109059194334551193399361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.970306203073945e-96,
            "status": "finite",
            "log2": -316.9158468321407
          },
          "trueMass": {
            "numerator": "27336702405987571264180711290357869035100900396069106933673553187699815415857054916314848736656212329587829863908361672433001021813492926454326749182565407636628194070179867609247536300058340304814590603266328092874438856801835244922806818985546491762689895590925521248288247736010203625927901669932020599470846833912355034184681420909315176228163949114607748469191029046578420739554969334582428332006621836485902571722001356130975215694259490928352711087315619484798309386025346314804345567143",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00006834175601496893,
            "status": "finite",
            "log2": -13.836873156702723
          },
          "falseMass": {
            "numerator": "8606610236013588472366856580861210871173965978741594222846491381655642240875102822847932875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 5.258529315293164e-60,
            "status": "finite",
            "log2": -196.92102632456198
          },
          "noiseInformation": 0.6338316936642814,
          "jointInformation": 1.6338316936642814,
          "informationDensity": 183.0841531678593,
          "difference": 0.1648361000750002,
          "margin": -0.14483610007500022,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "397030620307394546269045888422014931421078189923820567209424234740316915398109600536658290957406080721068165617848290095183650270355490309106215178424265259603373700055255315943240645059252261202995904334858149124127108139801446970045309805718137700331707069210577137045248262295148861393004133820684551873698084532797709623309258807147301731651850678801312650710603826685191243061109059194334551193399361",
            "value": 7.694460344480156e-56,
            "status": "finite",
            "log2": -183.0841531678593
          }
        },
        {
          "k": 77,
          "count": "94784486755058740578793433513900088555266534415232102610049671320051748315092041477598014000",
          "singleLikelihood": {
            "numerator": "44114513367488282918782876491334992380119798880424507467713803860035212822012177837406476773045120080118685068649810010575961141150610034345135019824918362178152633339472812882582293895472473466999544926095349902680789793311271885560589978413126411147967452134508570782805362477238762377000459313409394652633120503644189958145473200794144636850205630977923627856733758520576804784567673243814950132599929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.4114513367488283e-97,
            "status": "finite",
            "log2": -320.08577183358307
          },
          "trueMass": {
            "numerator": "2090685753993277455990732609507888973824455585846555075735495409737503920693252396197239513770244232998780638942486534832538317685591811114111569562302982113623801278094564189451831780523942332114247188994394500609444818774166331862783205492401102544621305146203539143086979985582309945417285409100140103567034462045245045904456154845878361241114991779327865323040583751037022076762501262240791777195311626744232087014813956529497383018464290070999557990804802067379957283491115951925873470503",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00004181371507986555,
            "status": "finite",
            "log2": -14.545664244276622
          },
          "falseMass": {
            "numerator": "5924030422191171286174589594618755534704158400952006413128104457503234269693252592349875875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.895605752836756e-59,
            "status": "finite",
            "log2": -194.45989241069367
          },
          "noiseInformation": 0.6401715436671661,
          "jointInformation": 1.640171543667166,
          "informationDensity": 179.91422816641693,
          "difference": 0.17117595007788486,
          "margin": -0.15117595007788487,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "44114513367488282918782876491334992380119798880424507467713803860035212822012177837406476773045120080118685068649810010575961141150610034345135019824918362178152633339472812882582293895472473466999544926095349902680789793311271885560589978413126411147967452134508570782805362477238762377000459313409394652633120503644189958145473200794144636850205630977923627856733758520576804784567673243814950132599929",
            "value": 6.92501431003214e-55,
            "status": "finite",
            "log2": -179.91422816641693
          }
        },
        {
          "k": 78,
          "count": "514023562787049323908072081748458172549714667405681787231423217543357558170306840320819999000",
          "singleLikelihood": {
            "numerator": "4901612596387586990975875165703888042235533208936056385301533762226134758001353093045164085893902231124298340961090001175106793461178892705015002202768706908683625926608090320286921543941385940777727214010594433631198865923474653951176664268125156794218605792723174531422818053026529153000051034823266072514791167071576662016163688977127181872245070108658180872970417613397422753840852582646105570288881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.901612596387587e-98,
            "status": "finite",
            "log2": -323.25569683502545
          },
          "trueMass": {
            "numerator": "2519544370197026677732421349919763635121779808584309963065853442504171391604688785160775824287217408998530513597355567618700023877508080060595994087903593829238940001806269664211181889349366400240246612377860039195997602112456861475661811747252610758902598509527342044233027162112014549605446518659143201734631274772474798910498443019391871239292425990472042825202754776890770195072757931418390090466144780948177130505032204022727615432508247008640492963277581978637384418566216660013232131119",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000025195443701970268,
            "status": "finite",
            "log2": -15.27647761146136
          },
          "falseMass": {
            "numerator": "64252945348381165488509010218557271568714333425710223403927902192919694771288355040102499875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.570309273653779e-58,
            "status": "finite",
            "log2": -192.02078077643597
          },
          "noiseInformation": 0.6465113936700508,
          "jointInformation": 1.6465113936700508,
          "informationDensity": 176.74430316497458,
          "difference": 0.17751580008076948,
          "margin": -0.15751580008076949,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4901612596387586990975875165703888042235533208936056385301533762226134758001353093045164085893902231124298340961090001175106793461178892705015002202768706908683625926608090320286921543941385940777727214010594433631198865923474653951176664268125156794218605792723174531422818053026529153000051034823266072514791167071576662016163688977127181872245070108658180872970417613397422753840852582646105570288881",
            "value": 6.232512879028925e-54,
            "status": "finite",
            "log2": -176.74430316497455
          }
        },
        {
          "k": 79,
          "count": "2745796753115630565686157196175308212860501134749338154577982250674644171492018817916278982000",
          "singleLikelihood": {
            "numerator": "544623621820842998997319462855987560248392578770672931700170418025126084222372565893907120654878025680477593440121111241678532606797654745001666911418745212075958436289787813365213504882376215641969690445621603736799873991497183772352962696458350754913178421413686059046979783669614350333339003869251785834976796341286295779573743219680797985805007789850908985885601957044158083760094731405122841143209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.44623621820843e-99,
            "status": "finite",
            "log2": -326.4256218364676
          },
          "trueMass": {
            "numerator": "747712886232872895923404929441730136442609760353430945438670993485766756158353493205237269936150314062855046932548558041555140700638825446956054504286439237650374599692155976298958338470768369128962074840687015851414196970082134699528329505865402067691207152616412336614864600851807412048873720727256280683554428940917275063453124440353987104768919668058510599321773921130734896146767824935696637255072501800373241260987053514480347195863910153056461343532446972563274419574503115700129366619",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.00001495425772465746,
            "status": "finite",
            "log2": -16.029084172373587
          },
          "falseMass": {
            "numerator": "171612297069726910355384824760956763303781320921833634661123890667165260718251176119767436375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 8.388234347872086e-58,
            "status": "finite",
            "log2": -189.6034623359059
          },
          "noiseInformation": 0.6528512436729352,
          "jointInformation": 1.6528512436729352,
          "informationDensity": 173.57437816353237,
          "difference": 0.18385565008365412,
          "margin": -0.16385565008365413,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "544623621820842998997319462855987560248392578770672931700170418025126084222372565893907120654878025680477593440121111241678532606797654745001666911418745212075958436289787813365213504882376215641969690445621603736799873991497183772352962696458350754913178421413686059046979783669614350333339003869251785834976796341286295779573743219680797985805007789850908985885601957044158083760094731405122841143209",
            "value": 5.6092615911260325e-53,
            "status": "finite",
            "log2": -173.5743781635324
          }
        },
        {
          "k": 80,
          "count": "14449755413271005851923402244872559470178387221618392038466631594175314952476749029284418142775",
          "singleLikelihood": {
            "numerator": "60513735757871444333035495872887506694265842085630325744463379780569564913596951765989680072764225075608621493346790137964281400755294971666851879046527245786217604032198645929468167209152912849107743382846844859644430443499687085816995855162038972768130935712631784338553309296623816703704333763250198426108532926809588419952638135520088665089445309983434331765066884116017564862232747933902537904801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.051373575787144e-100,
            "status": "finite",
            "log2": -329.59554683791
          },
          "trueMass": {
            "numerator": "34976347233782165464861497254996487493593189900977158669964498695278644926962980071044987849235475802273552750955882548388301581663216168129833216256065657672311967385599740669095717832910387044810337056436581519271708547156064300944602969107703807833110912361278843746095332995401213385841759602908321574197379398236241422412640598821003174567523908916959218034940757866226599030865472699769809364931724806439681618986172169955136241050967352715196691736351130605459836737873979078861607038511",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000008744086808445541,
            "status": "finite",
            "log2": -16.80326084563694
          },
          "falseMass": {
            "numerator": "14449755413271005851923402244872559470178387221618392038466631594175314952476749029284418142775",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.414308325567685e-57,
            "status": "finite",
            "log2": -187.20771400772685
          },
          "noiseInformation": 0.65919109367582,
          "jointInformation": 1.6591910936758199,
          "informationDensity": 170.40445316209002,
          "difference": 0.1901955000865387,
          "margin": -0.17019550008653872,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "60513735757871444333035495872887506694265842085630325744463379780569564913596951765989680072764225075608621493346790137964281400755294971666851879046527245786217604032198645929468167209152912849107743382846844859644430443499687085816995855162038972768130935712631784338553309296623816703704333763250198426108532926809588419952638135520088665089445309983434331765066884116017564862232747933902537904801",
            "value": 5.048335432013429e-52,
            "status": "finite",
            "log2": -170.40445316209002
          }
        },
        {
          "k": 81,
          "count": "74924657698442252565528752380820678734258304112095366125382534192020151605434994966659945925500",
          "singleLikelihood": {
            "numerator": "6723748417541271592559499541431945188251760231736702860495931086729951657066327973998853341418247230623180165927421126440475711195032774629650208782947471754024178225799849547718685245461434761011971486982982762182714493722187453979666206129115441418681215079181309370950367699624868522633814862583355380678725880756620935550293126168898740565493923331492703529451876012890840540248083103766948656089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.723748417541271e-101,
            "status": "finite",
            "log2": -332.76547183935236
          },
          "trueMass": {
            "numerator": "1007549097269445095695598686357923508045894359287407862920788028259055615180003541141213641747523994304176416694202377937111568196059725007855277834536870797144789183947317632443086521935690161784659915205992060225933991070339300850256052608040850431406487187361942000916326464888100797123013651112585395141488295422443168546866190089493918608941017952340388996891297551702000795127811970775261998166757504712254203016062572797061537808052557485622949967713818577112011757881143430255272630739",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.000005037745486347225,
            "status": "finite",
            "log2": -17.59879033229754
          },
          "falseMass": {
            "numerator": "18731164424610563141382188095205169683564576028023841531345633548005037901358748741664986481375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.288900613257318e-56,
            "status": "finite",
            "log2": -184.83331849294535
          },
          "noiseInformation": 0.6655309436787047,
          "jointInformation": 1.6655309436787047,
          "informationDensity": 167.23452816064764,
          "difference": 0.19653535008942336,
          "margin": -0.17653535008942337,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6723748417541271592559499541431945188251760231736702860495931086729951657066327973998853341418247230623180165927421126440475711195032774629650208782947471754024178225799849547718685245461434761011971486982982762182714493722187453979666206129115441418681215079181309370950367699624868522633814862583355380678725880756620935550293126168898740565493923331492703529451876012890840540248083103766948656089",
            "value": 4.5435018888120865e-51,
            "status": "finite",
            "log2": -167.23452816064764
          }
        },
        {
          "k": 82,
          "count": "382846726532284192987274966433705663288466212475219004957747339347029799057039791354030699302250",
          "singleLikelihood": {
            "numerator": "747083157504585732506611060159105020916862247970744762277325676303327961896258663777650371268694136735908907325269014048941745688336974958850023198105274639336019802866649949746520582829048306779107942998109195798079388191354161553296245125457271268742357231020145485661151966624985391403757206953706153408747320084068992838921458463210971173943769259054744836605764001432315615583120344862994295121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.470831575045857e-102,
            "status": "finite",
            "log2": -335.9353968407945
          },
          "trueMass": {
            "numerator": "1144073365192134133052725879631354877699809584123099985267778275990634966830410525035687034938245402746476744159541453538346198032924186391033499763335904780497741647896818666649466809460851430319166678784039764863594423464694219664653891714821453470892461060988221404834527882894618520310413874840577996109169636265592649379774887933598785629122727701980008102161121068192786810727786492560527851576887247898196506947778368569021095776623364732997333432173685592980848039436853922159781117289",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0000028601834129803353,
            "status": "finite",
            "log2": -18.41546090465863
          },
          "falseMass": {
            "numerator": "191423363266142096493637483216852831644233106237609502478873669673514899528519895677015349651125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.1695723865302639e-55,
            "status": "finite",
            "log2": -182.48006406386406
          },
          "noiseInformation": 0.671870793681589,
          "jointInformation": 1.671870793681589,
          "informationDensity": 164.06460315920552,
          "difference": 0.20287520009230797,
          "margin": -0.18287520009230798,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "747083157504585732506611060159105020916862247970744762277325676303327961896258663777650371268694136735908907325269014048941745688336974958850023198105274639336019802866649949746520582829048306779107942998109195798079388191354161553296245125457271268742357231020145485661151966624985391403757206953706153408747320084068992838921458463210971173943769259054744836605764001432315615583120344862994295121",
            "value": 4.089151699930878e-50,
            "status": "finite",
            "log2": -164.0646031592055
          }
        },
        {
          "k": 83,
          "count": "1928071466150539670706999228545650207886492491742669205690823949964559710913766660072106413353500",
          "singleLikelihood": {
            "numerator": "83009239722731748056290117795456113435206916441193862475258408478147551321806518197516707918743792970656545258363223783215749520926330550983335910900586071037335533651849994416280064758783145197678660333123243977564376465706017950366249458384141252082484136780016165073461329624998376822639689661522905934305257787118776982102384273690107908215974362117193870733973777936923957287013371651443810569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.300923972273175e-103,
            "status": "finite",
            "log2": -339.1053218422369
          },
          "trueMass": {
            "numerator": "320095493072498037226264670472494202729933337458805752236901820190150880947196519052822744714984322856778633908091250052897396772263928990262384806609376304048230260254933201244629937319033398844318388039978997130510354088515517951690312407493552577532161126836061945930945552242269438748161311702383937331748934376852561874662585780618669607077175488238047782264624234608155881448604252938621580963279029197755113724344951848628392258787527749928303463620214576884869130177111739934932066283",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 0.0000016004774653624904,
            "status": "finite",
            "log2": -19.253066205367077
          },
          "falseMass": {
            "numerator": "482017866537634917676749807136412551971623122935667301422705987491139927728441665018026603338375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 5.8901356333692805e-55,
            "status": "finite",
            "log2": -180.14774436313013
          },
          "noiseInformation": 0.6782106436844738,
          "jointInformation": 1.6782106436844737,
          "informationDensity": 160.89467815776308,
          "difference": 0.20921505009519262,
          "margin": -0.18921505009519263,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "83009239722731748056290117795456113435206916441193862475258408478147551321806518197516707918743792970656545258363223783215749520926330550983335910900586071037335533651849994416280064758783145197678660333123243977564376465706017950366249458384141252082484136780016165073461329624998376822639689661522905934305257787118776982102384273690107908215974362117193870733973777936923957287013371651443810569",
            "value": 3.68023652993779e-49,
            "status": "finite",
            "log2": -160.8946781577631
          }
        },
        {
          "k": 84,
          "count": "9571497635533036222438317598851620674865087726865393556822304608752635707750484491072242552004875",
          "singleLikelihood": {
            "numerator": "9223248858081305339587790866161790381689657382354873608362045386460839035756279799724078657638199218961838362040358198135083280102925616775926212322287341226370614850205554935142229417642571688630962259235915997507152940634001994485138828709349028009164904086668462785940147736110930758071076629058100659367250865235419664678042697076678656468441595790799318970441530881880439698557041294604867841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.223248858081306e-104,
            "status": "finite",
            "log2": -342.27524684367927
          },
          "trueMass": {
            "numerator": "706242437096463923403980780883757050467630696932920627951259571530650356375560573783212087545759061541146509733725139005599018275312478248356690287598465178773079463102154205920691449005486387926353268850112390494300622512756460242618308327644504893285244390955755721974625900978975428349117814708434401414493680609246128580604752754063413894979799886747438757694964581119582024148507796166165075458663254896634298534665846142211849586848672337143399705447775018841219191978071934142151701799",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.8280304637058e-7,
            "status": "finite",
            "log2": -20.11140505614344
          },
          "falseMass": {
            "numerator": "9571497635533036222438317598851620674865087726865393556822304608752635707750484491072242552004875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.9240316179940355e-54,
            "status": "finite",
            "log2": -177.83615821246423
          },
          "noiseInformation": 0.6845504936873585,
          "jointInformation": 1.6845504936873585,
          "informationDensity": 157.72475315632073,
          "difference": 0.21555490009807723,
          "margin": -0.19555490009807724,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9223248858081305339587790866161790381689657382354873608362045386460839035756279799724078657638199218961838362040358198135083280102925616775926212322287341226370614850205554935142229417642571688630962259235915997507152940634001994485138828709349028009164904086668462785940147736110930758071076629058100659367250865235419664678042697076678656468441595790799318970441530881880439698557041294604867841",
            "value": 3.3122128769440115e-48,
            "status": "finite",
            "log2": -157.72475315632073
          }
        },
        {
          "k": 85,
          "count": "46844035486844036100404001424967931773457370522070631995742102555777605346167077038659445901576800",
          "singleLikelihood": {
            "numerator": "1024805428675700593287532318462421153521073042483874845373560598495648781750697755524897628626466579884648706893373133126120364455880624086214023591365260136263401650022839437238025490849174632070106917692879555278572548959333554942793203189927669778796100454074273642882238637345658973119008514339788962151916762803935518297560299675186517385382399532311035441160170097986715522061893477178318649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0248054286757005e-104,
            "status": "finite",
            "log2": -345.44517184512165
          },
          "trueMass": {
            "numerator": "60007527334993666694455883343064324549537248759006327865139702156199049888119525877004948614999135947940553114630240569103184559340275929598934468880915341987255117779921599195875744033145902242108447680074908996247765311541398582706130772937114794854301810996240682259281939298867193258421775105945406656133449986406533800966416900672054775390440513253050351961010062448069060875363407517386575038971387670955855431050039214697738853784527714920681020724320753234874833305326373489202432179",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.800602186799493e-7,
            "status": "finite",
            "log2": -20.990281275582447
          },
          "falseMass": {
            "numerator": "1463876108963876128137625044530247867920542828814707249866940704868050167067721157458107684424275",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.4310554742182574e-53,
            "status": "finite",
            "log2": -175.54510943046085
          },
          "noiseInformation": 0.6908903436902433,
          "jointInformation": 1.6908903436902434,
          "informationDensity": 154.55482815487838,
          "difference": 0.22189475010096188,
          "margin": -0.2018947501009619,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1024805428675700593287532318462421153521073042483874845373560598495648781750697755524897628626466579884648706893373133126120364455880624086214023591365260136263401650022839437238025490849174632070106917692879555278572548959333554942793203189927669778796100454074273642882238637345658973119008514339788962151916762803935518297560299675186517385382399532311035441160170097986715522061893477178318649",
            "value": 2.9809915892496103e-47,
            "status": "finite",
            "log2": -154.55482815487835
          }
        },
        {
          "k": 86,
          "count": "226049706128375290484507681294903391697497776356503631142243866984275653705341127570275233129702000",
          "singleLikelihood": {
            "numerator": "113867269852855621476392479829157905946785893609319427263728955388405420194521972836099736514051842209405411877041459236235596050653402676246002621262806681807044627780315493026447276761019403563345213076986617253174727662148172771421467021103074419866233383786030404764693181927295441457667612704420995794657418089326168699728922186131835265042488836923448382351130010887412835784654830797590961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1386726985285562e-105,
            "status": "finite",
            "log2": -348.6150968465638
          },
          "trueMass": {
            "numerator": "12869831443939210169611985316471160045507988751931589697174664803525894420449407358634136266265964557310247825618372008360631313760317576632329614772909491950754973580706699569141309443801317535129201957225368079298616332966243106885294196779794645924824419412630430562068219539550328269894075797915939928834822606903726887545768999368941980251696544186054726647968566364831348973269154583832262863655362213667534885729078177829230813602366409143195154315551996171820700683054493539027911811",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.573966288787842e-7,
            "status": "finite",
            "log2": -21.889503505492485
          },
          "falseMass": {
            "numerator": "14128106633023455655281730080931461981093611022281476946390241686517228356583820473142202070606375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 6.905674672099731e-53,
            "status": "finite",
            "log2": -173.27440665892863
          },
          "noiseInformation": 0.6972301936931276,
          "jointInformation": 1.6972301936931276,
          "informationDensity": 151.38490315343623,
          "difference": 0.22823460010384647,
          "margin": -0.20823460010384648,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "113867269852855621476392479829157905946785893609319427263728955388405420194521972836099736514051842209405411877041459236235596050653402676246002621262806681807044627780315493026447276761019403563345213076986617253174727662148172771421467021103074419866233383786030404764693181927295441457667612704420995794657418089326168699728922186131835265042488836923448382351130010887412835784654830797590961",
            "value": 2.682892430324649e-46,
            "status": "finite",
            "log2": -151.3849031534362
          }
        },
        {
          "k": 87,
          "count": "1075684808472958278857312414437816139801885970248189693021712194614828972804726744989585592134444000",
          "singleLikelihood": {
            "numerator": "12651918872539513497376942203239767327420654845479936362636550598711713354946885870677748501561315801045045764115717692915066227850378075138444735695867409089671625308923943669605252973446600395927245897442957472574969740238685863491274113455897157762914820420670044973854797991921715717518623633824555088295268676591796522192102465125759473893609870769272042483458890098601426198294981199732329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2651918872539512e-106,
            "status": "finite",
            "log2": -351.7850218480062
          },
          "trueMass": {
            "numerator": "3402369232305768205759490371021111276398663693039385782011692994035581283567084704006725679587553848484318390680719036693040462258474761638431967123872624308820280371910966552761495600085405785149099368002108802573197421358891855843238695700405481106562777545867814976178954590915604025374295900598466877737941608721674924293709045810180063744701385244589180608083643981507138234312535119863701676598544033498313820365158598736463318538556636899925155738594205884504323169083371855145310019",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3609476929223072e-7,
            "status": "finite",
            "log2": -22.808885045284114
          },
          "falseMass": {
            "numerator": "33615150264779946214291012951181754368808936570255927906928506081713405400147710780924549754201375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.286148637068148e-52,
            "status": "finite",
            "log2": -171.02386319727805
          },
          "noiseInformation": 0.7035700436960124,
          "jointInformation": 1.7035700436960124,
          "informationDensity": 148.2149781519938,
          "difference": 0.23457445010673109,
          "margin": -0.2145744501067311,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12651918872539513497376942203239767327420654845479936362636550598711713354946885870677748501561315801045045764115717692915066227850378075138444735695867409089671625308923943669605252973446600395927245897442957472574969740238685863491274113455897157762914820420670044973854797991921715717518623633824555088295268676591796522192102465125759473893609870769272042483458890098601426198294981199732329",
            "value": 2.4146031872921846e-45,
            "status": "finite",
            "log2": -148.21497815199382
          }
        },
        {
          "k": 88,
          "count": "5048384385219679195091704854122932565206578474005708445658717458817322338276728928189759653994606500",
          "singleLikelihood": {
            "numerator": "1405768763615501499708549133693307480824517205053326262515172288745745928327431763408638722395701755671671751568413076990562914205597563904271637299540823232185736145435993741067250330382955599547471766382550830286107748915409540387919345939544128640323868935630004997094977554657968413057624848202728343143918741843532946910233607236195497099289985641030226942606543344289047355366109022192481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4057687636155016e-107,
            "status": "finite",
            "log2": -354.95494684944856
          },
          "trueMass": {
            "numerator": "14193722150932144131097671951835545021743920254800669979503325318552475455688949320755330360299593327515388841930676385396219302148990672289620226486458523631745210036355850366570683665002753426935131706917888236997278131527498348113712942669368320171822496226701086718807154000486307701813981888355220409149190751535876199326281170905094609359208809151670016072106514791539879704758353580845543357931299856917208159705156578567266167236604959996657467879185929598992782513448813900757707453",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.096861075466073e-8,
            "status": "finite",
            "log2": -23.74824369394446
          },
          "falseMass": {
            "numerator": "1262096096304919798772926213530733141301644618501427111414679364704330584569182232047439913498651625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5422493035331192e-51,
            "status": "finite",
            "log2": -168.7932968444959
          },
          "noiseInformation": 0.7099098936988971,
          "jointInformation": 1.7099098936988972,
          "informationDensity": 145.04505315055144,
          "difference": 0.24091430010961573,
          "margin": -0.22091430010961574,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1405768763615501499708549133693307480824517205053326262515172288745745928327431763408638722395701755671671751568413076990562914205597563904271637299540823232185736145435993741067250330382955599547471766382550830286107748915409540387919345939544128640323868935630004997094977554657968413057624848202728343143918741843532946910233607236195497099289985641030226942606543344289047355366109022192481",
            "value": 2.1731428685629657e-44,
            "status": "finite",
            "log2": -145.04505315055144
          }
        },
        {
          "k": 89,
          "count": "23370049064163009307615532583130878841181014958318560445071815652053222509775419308024505364559302000",
          "singleLikelihood": {
            "numerator": "156196529290611277745394348188145275647168578339258473612796920971749547591936862600959858043966861741296861285379230776729212689510840433807959699948980359131748460603999304563027814486995066616385751820283425587345305435045504487546593993282680960035985437292222777454997506073107601450847205355858704793768749093725882990025956359577277455476665071225580771400727038254338595040678780243609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5619652929061127e-108,
            "status": "finite",
            "log2": -358.1248718508907
          },
          "trueMass": {
            "numerator": "1825160276586780081776604508163621894181802479705953817589066801262053647860127066214480683034779166958907678800074491505381508266349612042235809398383555473245638743751126826163271432578381526809386474172961908128239260358717016049578568158483067387887287280087655345864090963857789879259475823346551438379983330097622033121856380278682577732832094060701637522380737857089397764781660947349676611569193364872000549874695540065453701904332473008309262411430899811106437701479685183243500459",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.65032055317356e-8,
            "status": "finite",
            "log2": -24.70740159916977
          },
          "falseMass": {
            "numerator": "1460628066510188081725970786445679927573813434894910027816988478253326406860963706751531585284956375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.139401270288148e-51,
            "status": "finite",
            "log2": -166.58252974827906
          },
          "noiseInformation": 0.7162497437017814,
          "jointInformation": 1.7162497437017814,
          "informationDensity": 141.8751281491093,
          "difference": 0.24725415011250035,
          "margin": -0.22725415011250036,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "156196529290611277745394348188145275647168578339258473612796920971749547591936862600959858043966861741296861285379230776729212689510840433807959699948980359131748460603999304563027814486995066616385751820283425587345305435045504487546593993282680960035985437292222777454997506073107601450847205355858704793768749093725882990025956359577277455476665071225580771400727038254338595040678780243609",
            "value": 1.9558285817066694e-43,
            "status": "finite",
            "log2": -141.8751281491093
          }
        },
        {
          "k": 90,
          "count": "106723224059677742504777598796297680041393301642988092699161291477709716127974414839978574498154145800",
          "singleLikelihood": {
            "numerator": "17355169921179030860599372020905030627463175371028719290310768996861060843548540288995539782662984637921873476153247864081023632167871159311995522216553373236860940067111033840336423831888340735153972424475936176371700603893944943060732665920297884448442826365802530828333056230345289050094133928428744977085416565969542554447328484397475272830740563469508974600080782028259843893408753360401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.735516992117903e-109,
            "status": "finite",
            "log2": -361.2947968523331
          },
          "trueMass": {
            "numerator": "9260998440458847081607215467348748129737294063693173074433413028625975916919904002643846428732027624939642666504081679119898764166292475918011329169575818512394537329403865747569192083823639598995775813396140052354399209968304859214528290285636304894094753976741066014199276372167304202168451399943612854002137637902748834729419411043685672199925810604300901502450410608194351621299538880996507251295536703239410197512344036628413228181242548227346998161704936078577109818619143337198502329",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8521996880917697e-8,
            "status": "finite",
            "log2": -25.68618511326008
          },
          "falseMass": {
            "numerator": "13340403007459717813097199849537210005174162705373511587395161434713714515996801854997321812269268225",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.260326580098254e-50,
            "status": "finite",
            "log2": -164.3913882609271
          },
          "noiseInformation": 0.7225895937046661,
          "jointInformation": 1.722589593704666,
          "informationDensity": 138.70520314766694,
          "difference": 0.25359400011538497,
          "margin": -0.23359400011538498,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "17355169921179030860599372020905030627463175371028719290310768996861060843548540288995539782662984637921873476153247864081023632167871159311995522216553373236860940067111033840336423831888340735153972424475936176371700603893944943060732665920297884448442826365802530828333056230345289050094133928428744977085416565969542554447328484397475272830740563469508974600080782028259843893408753360401",
            "value": 1.7602457235360024e-42,
            "status": "finite",
            "log2": -138.7052031476669
          }
        },
        {
          "k": 91,
          "count": "480840899609537081614932038532769767219464326083792505567649774789681138598566044883419951035639558000",
          "singleLikelihood": {
            "numerator": "1928352213464336762288819113433892291940352819003191032256752110762340093727615587666171086962553848657985941794805318231224848018652351034666169135172597026317882229679003760037380425765371192794885824941770686263522289321549438117859185102255320494271425151755836758703672914482809894454903769825416108565046285107726950494147609377497252536748951496612108288897864669806649321489861484489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9283522134643366e-110,
            "status": "finite",
            "log2": -364.4647218537755
          },
          "trueMass": {
            "numerator": "463615306543116886869225682736628416751195429317973255252466342092387072764000078276431872500626535558639010166870999809421061453990221627153192302750437800986783920031206954396015720924016145981473514467938635099548678398901708458846959586948826008129285608115242620979450953918021333686088531621108824193025205316254825670215135351393299829300315304977212407326577332034149470663346879268445417952523815424683538581204036021691016306997490204299422374395485200514849209479102413705907931",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.272306130862339e-9,
            "status": "finite",
            "log2": -26.684424655395787
          },
          "falseMass": {
            "numerator": "30052556225596067600933252408298110451216520380237031597978110924355071162410377805213746939727472375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.4689383492750375e-49,
            "status": "finite",
            "log2": -162.21970280162031
          },
          "noiseInformation": 0.728929443707551,
          "jointInformation": 1.728929443707551,
          "informationDensity": 135.53527814622453,
          "difference": 0.2599338501182696,
          "margin": -0.2399338501182696,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1928352213464336762288819113433892291940352819003191032256752110762340093727615587666171086962553848657985941794805318231224848018652351034666169135172597026317882229679003760037380425765371192794885824941770686263522289321549438117859185102255320494271425151755836758703672914482809894454903769825416108565046285107726950494147609377497252536748951496612108288897864669806649321489861484489",
            "value": 1.5842211511824023e-41,
            "status": "finite",
            "log2": -135.53527814622453
          }
        },
        {
          "k": 92,
          "count": "2137651390655442025875078301738074291225662058350773204099660411836734627030581656057812608408441078500",
          "singleLikelihood": {
            "numerator": "214261357051592973587646568159321365771150313222576781361861345640260010414179509740685676329172649850887326866089479803469427557628039003851796570574733002924209136631000417781931158418374576977209536104641187362613587702394382013095465011361702277141269461306204084300408101609201099383878196647268456507227365011969661166016401041944139170749883499623567587655318296645183257943317942721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.14261357051593e-111,
            "status": "finite",
            "log2": -367.6346468552176
          },
          "trueMass": {
            "numerator": "916032175730119839273011131590729577059125268555802228977095332926503926379111265773239786728291077504750508010870719430208763935661838867177080443598691114027027165665524851922562463081751708726679552740999525389929514324399994008059934642811931581279602964826735420196113237451549398442561398227215019782354149634532481638251161153236036860791444249930820650224976467642353301938690210728474279915856234341524479612137443153969206133149630403664076092404606024205668244816197522732929197",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.580160878650599e-9,
            "status": "finite",
            "log2": -27.70195457995328
          },
          "falseMass": {
            "numerator": "534412847663860506468769575434518572806415514587693301024915102959183656757645414014453152102110269625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.530388965798809e-49,
            "status": "finite",
            "log2": -160.0673077247356
          },
          "noiseInformation": 0.7352692937104353,
          "jointInformation": 1.7352692937104353,
          "informationDensity": 132.36535314478238,
          "difference": 0.26627370012115426,
          "margin": -0.24627370012115427,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "214261357051592973587646568159321365771150313222576781361861345640260010414179509740685676329172649850887326866089479803469427557628039003851796570574733002924209136631000417781931158418374576977209536104641187362613587702394382013095465011361702277141269461306204084300408101609201099383878196647268456507227365011969661166016401041944139170749883499623567587655318296645183257943317942721",
            "value": 1.4257990360641618e-40,
            "status": "finite",
            "log2": -132.36535314478238
          }
        },
        {
          "k": 93,
          "count": "9378083520294842436097117710850906567957743223732424379275929548703093847618035652382661765920902796000",
          "singleLikelihood": {
            "numerator": "23806817450176997065294063128813485085683368135841864595762371737806667823797723304520630703241405538987480762898831089274380839736448778205755174508303666991578792959000046420214573157597175219689948456071243040290398633599375779232829445706855808571252162367356009366712011289911233264875355183029828500803040556885517907335155671327126574527764833291507509739479810738353695327035326969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3806817450176995e-112,
            "status": "finite",
            "log2": -370.80457185666
          },
          "trueMass": {
            "numerator": "55815580600043144328463043860367035161308708119887591012941292687278017019515740208405291664447843432189099054425814445568275938732083371835162607674472218417417425864924453342951834668063724187647141206440831296160579725859497842785013938809329164450728496064711477216250627371599784134492988422446793320071758221458968415233941719014382174313457176519082261841665232795412208361855675922523522432148946178515828506832747432320704316356787515635445496669814703983857921727151820381576331",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.232623224001726e-9,
            "status": "finite",
            "log2": -28.738613050532194
          },
          "falseMass": {
            "numerator": "293065110009213826128034928464090830248679475741638261852372798396971682738063614136958180185028212375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.864944836608509e-48,
            "status": "finite",
            "log2": -157.93404119387213
          },
          "noiseInformation": 0.74160914371332,
          "jointInformation": 1.7416091437133199,
          "informationDensity": 129.19542814334,
          "difference": 0.2726135501240388,
          "margin": -0.2526135501240388,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "23806817450176997065294063128813485085683368135841864595762371737806667823797723304520630703241405538987480762898831089274380839736448778205755174508303666991578792959000046420214573157597175219689948456071243040290398633599375779232829445706855808571252162367356009366712011289911233264875355183029828500803040556885517907335155671327126574527764833291507509739479810738353695327035326969",
            "value": 1.2832191324577456e-39,
            "status": "finite",
            "log2": -129.19542814334
          }
        },
        {
          "k": 94,
          "count": "40605106305957456079697094769322542267646824383607411940056418365129353148729154367231312114146887638000",
          "singleLikelihood": {
            "numerator": "2645201938908555229477118125423720565075929792871318288418041304200740869310858144946736744804600615443053418099870121030486759970716530911750574945367074110175421439888894046690508128621908357743327606230138115587822070399930642136981049522983978730139129151928445485190223476656803696097261687003314277867004506320613100815017296814125174947529425921278612193275534526483743925226147441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6452019389085556e-113,
            "status": "finite",
            "log2": -373.9744968581024
          },
          "trueMass": {
            "numerator": "53704352965053332722658295156428802152843130507787823976990794618728493917122709845912420112128303255085019657568100423986497179820231518526976787998842063583661683988237003571114413025772897740833064943313045715218335575472377357005911756726706784707911342549261397699796702932012085443826586969115472532551313466037352588652988840753790886396163288045547235389025413115207491260698014421907975484360806370345017026668861004620630394225088697077130773391523840476194265113358843724117179",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0740870593010666e-9,
            "status": "finite",
            "log2": -29.794241919385968
          },
          "falseMass": {
            "numerator": "2537819144122341004981068423082658891727926523975463246253526147820584571795572147951957007134180477375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.2404601579783652e-47,
            "status": "finite",
            "log2": -155.81974506128353
          },
          "noiseInformation": 0.7479489937162047,
          "jointInformation": 1.7479489937162047,
          "informationDensity": 126.02550314189764,
          "difference": 0.27895340012692343,
          "margin": -0.2589534001269234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2645201938908555229477118125423720565075929792871318288418041304200740869310858144946736744804600615443053418099870121030486759970716530911750574945367074110175421439888894046690508128621908357743327606230138115587822070399930642136981049522983978730139129151928445485190223476656803696097261687003314277867004506320613100815017296814125174947529425921278612193275534526483743925226147441",
            "value": 1.154897219211971e-38,
            "status": "finite",
            "log2": -126.02550314189762
          }
        },
        {
          "k": 95,
          "count": "173533401686512917561652847119420549059627481049943255238556903749921235561937228137851712824669856642400",
          "singleLikelihood": {
            "numerator": "293911326545395025497457569491524507230658865874590920935337922688971207701206460549637416089400068382561490899985569003387417774524058990194508327263008234463935715543210449632278680957989817527036400692237568398646896711103404681886783280331553192237681016880938387243358164072978188455251298555923808651889389591179233423890810757125019438614380657919845799252837169609304880580683049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.93911326545395e-114,
            "status": "finite",
            "log2": -377.14442185954476
          },
          "trueMass": {
            "numerator": "63754290362022377442687917641842379163901494111584375832334101214046106813894211103627025045392079302820228014539908690463502500020508761760095251250087362032066209646854454531790794410712855212801825634459346667773813577899956745451462494827610978337462003143275226509115384182447095585361386869768660374900097272547266523371676810953330701394275716217813384701591572294661524712992379693843970896638852006900809686630285286187064152208731026354722497067130641033142899520537106877168347",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.100343228961791e-10,
            "status": "finite",
            "log2": -30.868686611974
          },
          "falseMass": {
            "numerator": "5422918802703528673801651472481892158113358782810726726204903242185038611310538379307866025770933020075",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 5.301334990939119e-47,
            "status": "finite",
            "log2": -153.7242647524293
          },
          "noiseInformation": 0.7542888437190896,
          "jointInformation": 1.7542888437190896,
          "informationDensity": 122.85557814045522,
          "difference": 0.2852932501298081,
          "margin": -0.2652932501298081,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "293911326545395025497457569491524507230658865874590920935337922688971207701206460549637416089400068382561490899985569003387417774524058990194508327263008234463935715543210449632278680957989817527036400692237568398646896711103404681886783280331553192237681016880938387243358164072978188455251298555923808651889389591179233423890810757125019438614380657919845799252837169609304880580683049",
            "value": 1.039407497290774e-37,
            "status": "finite",
            "log2": -122.85557814045524
          }
        },
        {
          "k": 96,
          "count": "732094038364976370963222948785055441345303435679448108037661937694980212526922681206561913479075957710125",
          "singleLikelihood": {
            "numerator": "32656814060599447277495285499058278581184318430510102326148658076552356411245162283293046232155563153617943433331729889265268641613784332243834258584778692718215079504801161070253186773109979725226266743581952044294099634567044964654087031147950354693075668542326487471484240452553132050583477617324867627987709954575470380432312306347224382068264517546649533250315241067700542286742561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.265681406059945e-115,
            "status": "finite",
            "log2": -380.3143468609869
          },
          "trueMass": {
            "numerator": "191262871086067132328063752925527137491704482334753127497002303642138320441682633310881075136176237908460684043619726071390507500061526285280285753750262086096198628940563363595372383232138565638405476903378040003321440733699870236354387484482832935012386009429825679527346152547341286756084160609305981124700291817641799570115030432859992104182827148653440154104774716883984574138977139081531912689916556020702429059890855858561192456626193079064167491201391923099428698561611320631505041",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3907858885758395e-10,
            "status": "finite",
            "log2": -31.961796016365497
          },
          "falseMass": {
            "numerator": "732094038364976370963222948785055441345303435679448108037661937694980212526922681206561913479075957710125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.2365006993024407e-46,
            "status": "finite",
            "log2": -151.64744915537847
          },
          "noiseInformation": 0.7606286937219738,
          "jointInformation": 1.7606286937219737,
          "informationDensity": 119.68565313901308,
          "difference": 0.2916331001326927,
          "margin": -0.2716331001326927,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "32656814060599447277495285499058278581184318430510102326148658076552356411245162283293046232155563153617943433331729889265268641613784332243834258584778692718215079504801161070253186773109979725226266743581952044294099634567044964654087031147950354693075668542326487471484240452553132050583477617324867627987709954575470380432312306347224382068264517546649533250315241067700542286742561",
            "value": 9.354667475616965e-37,
            "status": "finite",
            "log2": -119.68565313901308
          }
        },
        {
          "k": 97,
          "count": "3049133932984025297620021353702705137149511216644299336569231163183216555266770754715989825211821514586500",
          "singleLikelihood": {
            "numerator": "3628534895622160808610587277673142064576035381167789147349850897394706267916129142588116248017284794846438159259081098807252071290420481360426028731642076968690564389422351230028131863678886636136251860397994671588233292729671662739343003460883372743675074282480720830164915605839236894509275290813874180887523328286163375603590256260802709118696057505183281472257249007522282476304729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.628534895622161e-116,
            "status": "finite",
            "log2": -383.4842718624293
          },
          "trueMass": {
            "numerator": "22127777754516357806568658700433265620460656031855745563799808325150023327159159180296665050118900376580216596111789614215854819594747027277558832908105922904600299568152233359831169194096214352209568347355305888127681001264246155637792824665253294886885437517081779647493655678443837299386598191912834013281477060231181851754430783183114779521724561298966157576841061174435786927877080237382271685774996744663167623194703827851867626711621421518305746404742937265798738321560988984859117",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1063888877258179e-10,
            "status": "finite",
            "log2": -33.073422377243105
          },
          "falseMass": {
            "numerator": "762283483246006324405005338425676284287377804161074834142307790795804138816692688678997456302955378646625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 9.314910129053464e-46,
            "status": "finite",
            "log2": -149.5891505148138
          },
          "noiseInformation": 0.7669685437248586,
          "jointInformation": 1.7669685437248586,
          "informationDensity": 116.51572813757072,
          "difference": 0.29797295013557734,
          "margin": -0.2779729501355773,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3628534895622160808610587277673142064576035381167789147349850897394706267916129142588116248017284794846438159259081098807252071290420481360426028731642076968690564389422351230028131863678886636136251860397994671588233292729671662739343003460883372743675074282480720830164915605839236894509275290813874180887523328286163375603590256260802709118696057505183281472257249007522282476304729",
            "value": 8.41920072805527e-36,
            "status": "finite",
            "log2": -116.5157281375707
          }
        },
        {
          "k": 98,
          "count": "12538785459107777499396618423899899696645438982731149312626532232273839507882740960719835709799633371207750",
          "singleLikelihood": {
            "numerator": "403170543958017867623398586408126896064003931240865460816650099710522918657347682509790694224142754982937573251009010978583563476713386817825114303515786329854507154380261247780903540408765181792916873377554963509803699192185740304371444828987041415963897142497857870018323956204359654945475032312652686765280369809573708400398917362311412124299561945020364608028583223058031386256081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.031705439580179e-117,
            "status": "finite",
            "log2": -386.6541968638717
          },
          "trueMass": {
            "numerator": "20221075816485469832306506703570535249536608573328493111590301031826438550669254307618040850788927101500742150188324749498842386160279029462258978825321285556811611623504195111138233980092458920499900326494757988470420506824243085537484145895911741132459934964589472104172206889825093949326074991702657839801440488147769356591917473067562939109421764633749119055480606923577374448830982620555681381785314485485842521876339325678690824409939757079086657145377332694142611209952559095007311",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.0552689541213674e-11,
            "status": "finite",
            "log2": -34.20342119427255
          },
          "falseMass": {
            "numerator": "6269392729553888749698309211949949848322719491365574656313266116136919753941370480359917854899816685603875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.830519165314843e-45,
            "status": "finite",
            "log2": -147.54922433040105
          },
          "noiseInformation": 0.7733083937277434,
          "jointInformation": 1.7733083937277434,
          "informationDensity": 113.3458031361283,
          "difference": 0.30431280013846196,
          "margin": -0.28431280013846194,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "403170543958017867623398586408126896064003931240865460816650099710522918657347682509790694224142754982937573251009010978583563476713386817825114303515786329854507154380261247780903540408765181792916873377554963509803699192185740304371444828987041415963897142497857870018323956204359654945475032312652686765280369809573708400398917362311412124299561945020364608028583223058031386256081",
            "value": 7.577280655249742e-35,
            "status": "finite",
            "log2": -113.34580313612832
          }
        },
        {
          "k": 99,
          "count": "50915068227892187421792329357654138162136024960181030542180464215899833153220826931407817730701541567934500",
          "singleLikelihood": {
            "numerator": "44796727106446429735933176267569655118222659026762828979627788856724768739705298056643410469349194998104174805667667886509284830745931868647234922612865147761611906042251249753433726712085020199212985930839440389978188799131748922707938314331893490662655238055317541113147106244928850549497225812516965196142263312174856488933213040256823569366617993891151623114287024784225709584009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.479672710644643e-118,
            "status": "finite",
            "log2": -389.8241218653138
          },
          "trueMass": {
            "numerator": "4561656834021974675974868515620289096696810688259289691840236259704954151161077571078817296305919581820032740951574943489637844689355875333236874011099414586890161544696232567159130224465302180718832733586359546220599912313886487309802820791333625103955608224334998757506861486930240049174569105872316751739718897999665141049355120186958642829398175860138690157296971932254828579365911904300439907675474984941250669918231430371960556348370248229962309861078388183527121047363035216718821",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.2808284170109875e-11,
            "status": "finite",
            "log2": -35.35165112461573
          },
          "falseMass": {
            "numerator": "12728767056973046855448082339413534540534006240045257635545116053974958288305206732851954432675385391983625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.555422933794512e-44,
            "status": "finite",
            "log2": -145.52752925930173
          },
          "noiseInformation": 0.7796482437306277,
          "jointInformation": 1.7796482437306276,
          "informationDensity": 110.17587813468616,
          "difference": 0.3106526501413466,
          "margin": -0.29065265014134656,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "44796727106446429735933176267569655118222659026762828979627788856724768739705298056643410469349194998104174805667667886509284830745931868647234922612865147761611906042251249753433726712085020199212985930839440389978188799131748922707938314331893490662655238055317541113147106244928850549497225812516965196142263312174856488933213040256823569366617993891151623114287024784225709584009",
            "value": 6.819552589724769e-34,
            "status": "finite",
            "log2": -110.17587813468617
          }
        },
        {
          "k": 100,
          "count": "204169423593847671561387240724193094030165460090325932474143661505758330944415515994945349100113181687417345",
          "singleLikelihood": {
            "numerator": "4977414122938492192881464029729961679802517669640314331069754317413863193300588672960378941038799444233797200629740876278809425638436874294137213623651683084623545115805694417048191856898335577690331770093271154442020977681305435856437590481321498962517248672813060123683011804992094505499691756946329466238029256908317387659245893361869285485179777099016847012698558309358412176001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.977414122938493e-119,
            "status": "finite",
            "log2": -392.9940468667562
          },
          "trueMass": {
            "numerator": "203247154493645760562880252751526214197269009554663907380881637793520734957288011778067303979852639145537014346842394704371641746714634000958665164272318361038106086602576584381201246667842908274250214018681130892717840537540942379025659015258309296298466544217592722417805717362114028857666912383866557494180808677540635728976822577218935086065407613323957194786231749426020695591747852624941822553096163217937946515245644842128464788410718837801654028254714851288263948888064124656027469",
            "denominator": "20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0162357724682289e-11,
            "status": "finite",
            "log2": -36.5179738893778
          },
          "falseMass": {
            "numerator": "204169423593847671561387240724193094030165460090325932474143661505758330944415515994945349100113181687417345",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 6.237245964515993e-44,
            "status": "finite",
            "log2": -143.52392702262154
          },
          "noiseInformation": 0.7859880937335124,
          "jointInformation": 1.7859880937335124,
          "informationDensity": 107.00595313324379,
          "difference": 0.31699250014423125,
          "margin": -0.29699250014423123,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4977414122938492192881464029729961679802517669640314331069754317413863193300588672960378941038799444233797200629740876278809425638436874294137213623651683084623545115805694417048191856898335577690331770093271154442020977681305435856437590481321498962517248672813060123683011804992094505499691756946329466238029256908317387659245893361869285485179777099016847012698558309358412176001",
            "value": 6.137597330752291e-33,
            "status": "finite",
            "log2": -107.00595313324379
          }
        },
        {
          "k": 101,
          "count": "808591776609297709154008874155220174376892911248815574155024402003003290868972340574040986535101709653138000",
          "singleLikelihood": {
            "numerator": "553046013659832465875718225525551297755835296626701592341083813045984799255620963662264326782088827137088577847748986253201047293159652699348579291516853676069282790645077157449799095210926175298925752232585683826891219742367270650715287831257944329168583185868117791520334644999121611722187972994036607359781028545368598628805099262429920609464419677668538556966506478817601352889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.530460136598325e-120,
            "status": "finite",
            "log2": -396.1639718681986
          },
          "trueMass": {
            "numerator": "223594229365946931312299507977476583275323442854415739692939095482421050558072620217895823960233926452735989380464680642873093230709168317886320312730823279469863681630997342553576729007527951896864921912740518033793003891684205037431968113595499775905903789018253820041590448143139745718005404162669480191618051350429742276102115046445473141986146989355288443109165840952718036954618099697405745382944073947126453812151424468788190086260416763258145245604746811098200163793249862107841",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.471884587318938e-12,
            "status": "finite",
            "log2": -37.702254183797095
          },
          "falseMass": {
            "numerator": "50536986038081106822125554634701260898555806953050973384689025125187705679310771285877561658443856853321125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.4701964215904926e-43,
            "status": "finite",
            "log2": -141.53828231559856
          },
          "noiseInformation": 0.7923279437363971,
          "jointInformation": 1.7923279437363973,
          "informationDensity": 103.83602813180143,
          "difference": 0.3233323501471158,
          "margin": -0.3033323501471158,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "553046013659832465875718225525551297755835296626701592341083813045984799255620963662264326782088827137088577847748986253201047293159652699348579291516853676069282790645077157449799095210926175298925752232585683826891219742367270650715287831257944329168583185868117791520334644999121611722187972994036607359781028545368598628805099262429920609464419677668538556966506478817601352889",
            "value": 5.523837597677062e-32,
            "status": "finite",
            "log2": -103.83602813180141
          }
        },
        {
          "k": 102,
          "count": "3163020773206958685808328831254243623297845799885072687135830749011748167222744744010219153210839040701981000",
          "singleLikelihood": {
            "numerator": "61449557073314718430635358391727921972870588514077954704564868116220533250624551518029369642454314126343175316416554028133449699239961411038731032390761519563253643405008573049977677245658463922102861359176187091876802193596363405635031981250882703240953687318679754613370516111013512413576441443781845262197892060596510958756122140269991178829379964185393172996278497646400150321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.144955707331473e-121,
            "status": "finite",
            "log2": -399.33389686964097
          },
          "trueMass": {
            "numerator": "194366225527261057938142709549048271736065476468217603785365357510862743295579467248236239128830798811855467892822238728772035292054375073718173866622218929212365161156357167056377156588243252302503494211728685611074964167281040980251318686981708955526047084571423255330271435313971151506501429762320528532583011958216704070075694778936260966563121239112767077996856580697460777221988282743496497620467724411554368346510715387900844976945329604662309265787132848863141318852955762485901",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9436622552726107e-12,
            "status": "finite",
            "log2": -38.90435959098863
          },
          "falseMass": {
            "numerator": "395377596650869835726041103906780452912230724985634085891978843626468520902843093001277394151354880087747625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.662827178574574e-43,
            "status": "finite",
            "log2": -139.57046272134772
          },
          "noiseInformation": 0.798667793739282,
          "jointInformation": 1.7986677937392819,
          "informationDensity": 100.666103130359,
          "difference": 0.3296722001500004,
          "margin": -0.3096722001500004,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "61449557073314718430635358391727921972870588514077954704564868116220533250624551518029369642454314126343175316416554028133449699239961411038731032390761519563253643405008573049977677245658463922102861359176187091876802193596363405635031981250882703240953687318679754613370516111013512413576441443781845262197892060596510958756122140269991178829379964185393172996278497646400150321",
            "value": 4.971453837909356e-31,
            "status": "finite",
            "log2": -100.66610313035903
          }
        },
        {
          "k": 103,
          "count": "12222157939188053950987523056691154971578083770429698344466608136958017189850994253554050708523436293197946000",
          "singleLikelihood": {
            "numerator": "6827728563701635381181706487969769108096732057119772744951652012913392583402727946447707738050479347371463924046283780903716633248884601226525670265640168840361515933889841449997519693962051546900317928797354121319644688177373711737225775694542522582328187479853306068152279567890390268175160160420205029133099117844056773195124682252221242092153329353932574777364277516266683369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.827728563701635e-122,
            "status": "finite",
            "log2": -402.5038218710831
          },
          "trueMass": {
            "numerator": "41724788435733495717033871844941322627267561830825569744646932194888550071003574954044241193783526390031540572461300439078354933245761207842412728649214203789925207195377644276395959181294937657171731767134852682420623375716210523268621810905458556795774940485127538091395917613247312998698796680368700299874886062227749848915925847905410930254650621988609113831040409448537966199758002444396767018849058422760862244828082375611939752332384672414023240444055487512152235654518011580037",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.344957687146699e-13,
            "status": "finite",
            "log2": -40.12416049907051
          },
          "falseMass": {
            "numerator": "763884871199253371936720191043197185723630235651856146529163008559876074365687140847128169282714768324871625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.733791472886097e-42,
            "status": "finite",
            "log2": -137.62033862798728
          },
          "noiseInformation": 0.8050076437421663,
          "jointInformation": 1.8050076437421663,
          "informationDensity": 97.49617812891687,
          "difference": 0.3360120501528851,
          "margin": -0.3160120501528851,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6827728563701635381181706487969769108096732057119772744951652012913392583402727946447707738050479347371463924046283780903716633248884601226525670265640168840361515933889841449997519693962051546900317928797354121319644688177373711737225775694542522582328187479853306068152279567890390268175160160420205029133099117844056773195124682252221242092153329353932574777364277516266683369",
            "value": 4.4743084541184206e-30,
            "status": "finite",
            "log2": -97.49617812891688
          }
        },
        {
          "k": 104,
          "count": "46655737517862090562904294745253735804966339008274906180319648368964738695873506910201520493113502003842159250",
          "singleLikelihood": {
            "numerator": "758636507077959486797967387552196567566303561902196971661294668101488064822525327383078637561164371930162658227364864544857403694320511247391741140626685426706835103765537938888613299329116838544479769866372680146627187575263745748580641743838058064703131942205922896461364396432265585352795573380022781014788790871561863688347186916913471343572592150436952753040475279585187041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.586365070779595e-123,
            "status": "finite",
            "log2": -405.6737468725255
          },
          "trueMass": {
            "numerator": "141578982982788015381730317285826539171155743990066249475425915225391063061439480826970630375487692109765141942454156190718862465799719653961007292937931956449575275697136109211360647820291369657240833432072961665991345984267825450749084264354419205537800439082013954036616917029565668893020703265866444607267775783798433248030962065114941361633301683157930070007889252573244210096614760430987320568231420460137284711083322248871282749367151409815104499626410500361747329528578210233117",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.539474574569701e-13,
            "status": "finite",
            "log2": -41.361530021510816
          },
          "falseMass": {
            "numerator": "23327868758931045281452147372626867902483169504137453090159824184482369347936753455100760246556751001921079625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.4253030910920969e-41,
            "status": "finite",
            "log2": -135.68778314898543
          },
          "noiseInformation": 0.811347493745051,
          "jointInformation": 1.811347493745051,
          "informationDensity": 94.3262531274745,
          "difference": 0.3423519001557697,
          "margin": -0.3223519001557697,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "758636507077959486797967387552196567566303561902196971661294668101488064822525327383078637561164371930162658227364864544857403694320511247391741140626685426706835103765537938888613299329116838544479769866372680146627187575263745748580641743838058064703131942205922896461364396432265585352795573380022781014788790871561863688347186916913471343572592150436952753040475279585187041",
            "value": 4.026877608706578e-29,
            "status": "finite",
            "log2": -94.3262531274745
          }
        },
        {
          "k": 105,
          "count": "175958781495937027265810483039242660750158764259779646165776959562952728795865797489902877288313778985919000600",
          "singleLikelihood": {
            "numerator": "84292945230884387421996376394688507507367062433577441295699407566832007202502814153675404173462707992240295358596096060539711521591167916376860126736298380745203900418393104320957033258790759838275529985152520016291909730584860638731182415982006451633681326911769210717929377381362842816977285931113642334976532319062429298705242990768163482619176905604105861448941697731687449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.42929452308844e-124,
            "status": "finite",
            "log2": -408.8436718739679
          },
          "trueMass": {
            "numerator": "74160419657650865199953975721147234803938723042415654487127860356157223508373061385556044482398314914638883874618843718947975577323662675884337153443678643854539430127071295301188910763009765058554722273942979920281181229854575236106663186090410060043609753804864452114418385110724874182058463615453851937140263505799179320397170605536397856093634214987487179527941989443127919574417255463850501250025982145786196753424597368456386202049460262284102356947167404951391458324493348217347",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4832083931530175e-13,
            "status": "finite",
            "log2": -42.61634392053975
          },
          "falseMass": {
            "numerator": "21994847686992128408226310379905332593769845532472455770722119945369091099483224686237859661039222373239875075",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.375428800690193e-41,
            "status": "finite",
            "log2": -133.77267204657193
          },
          "noiseInformation": 0.8176873437479357,
          "jointInformation": 1.8176873437479357,
          "informationDensity": 91.15632812603214,
          "difference": 0.34869175015865433,
          "margin": -0.3286917501586543,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "84292945230884387421996376394688507507367062433577441295699407566832007202502814153675404173462707992240295358596096060539711521591167916376860126736298380745203900418393104320957033258790759838275529985152520016291909730584860638731182415982006451633681326911769210717929377381362842816977285931113642334976532319062429298705242990768163482619176905604105861448941697731687449",
            "value": 3.6241898478359203e-28,
            "status": "finite",
            "log2": -91.15632812603212
          }
        },
        {
          "k": 106,
          "count": "655695459348067224245237177363215575436912376251065662598885839880814413909122547250109778574376817919226464500",
          "singleLikelihood": {
            "numerator": "9365882803431598602444041821632056389707451381508604588411045285203556355833646017075044908162523110248921706510677340059967946843463101819651125192922042305022655602043678257884114806532306648697281109461391112921323303398317848747909157331334050181520147434641023413103264153484760312997476214568182481664059146562492144300582554529795942513241878400456206827660188636854161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.365882803431599e-125,
            "status": "finite",
            "log2": -412.01359687541003
          },
          "trueMass": {
            "numerator": "12282333653992491301459882771426900523084191027989175481096647731942181671198054191737793530627813161963253304182156506911719225594485013406420618704508622357460408763183715573991454822385265072590824024405650762478434627166690657552256586375560575982065347066214448044107028142027809350906957286416885331308345528214119845516512532153826898598316777744258882982615130327058921690521935391287609221702416330224548309267386146977053480003998659791287392450369444425911792888123636287569",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.141166826996245e-14,
            "status": "finite",
            "log2": -43.88848053348079
          },
          "falseMass": {
            "numerator": "163923864837016806061309294340803893859228094062766415649721459970203603477280636812527444643594204479806616125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.003107902143987e-40,
            "status": "finite",
            "log2": -131.8748836580707
          },
          "noiseInformation": 0.82402719375082,
          "jointInformation": 1.82402719375082,
          "informationDensity": 87.98640312459,
          "difference": 0.35503160016153895,
          "margin": -0.33503160016153893,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9365882803431598602444041821632056389707451381508604588411045285203556355833646017075044908162523110248921706510677340059967946843463101819651125192922042305022655602043678257884114806532306648697281109461391112921323303398317848747909157331334050181520147434641023413103264153484760312997476214568182481664059146562492144300582554529795942513241878400456206827660188636854161",
            "value": 3.261770863052328e-27,
            "status": "finite",
            "log2": -87.98640312458997
          }
        },
        {
          "k": 107,
          "count": "2414430009188210152828256522253335857216294170494578234242626363673279243740133491743394885591630525796030159000",
          "singleLikelihood": {
            "numerator": "1040653644825733178049337980181339598856383486834289398712338365022617372870405113008338323129169234472102411834519704451107549649273677979961236132546893589446961733560408695320457200725811849855253456606821234769035922599813094305323239703481561131280016381626780379233696017053862256999719579396464720184895460729165793811175839392199549168137986488939578536406687626317129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0406536448257331e-125,
            "status": "finite",
            "log2": -415.1835218768524
          },
          "trueMass": {
            "numerator": "2512585389238339342043195125619002495376516752350848982114267500719220964928366226139507087781598331159668640627087052815793029534905033895186772466031358883094185385614944930505001661484836157113595361171249429084373438786955409696567546745571582002561654591946257803415456431962075225471101334812176957702745658419710913361114194012776634500382559933145378969444632060675604956420375152734848407762591918021013517056775774615243546792095260621893682567728744082974686603281782293511",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5125853892383394e-14,
            "status": "finite",
            "log2": -45.17782070186786
          },
          "falseMass": {
            "numerator": "301803751148526269103532065281666982152036771311822279280328295459159905467516686467924360698953815724503769875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.375930032193747e-40,
            "status": "finite",
            "log2": -129.99429882501545
          },
          "noiseInformation": 0.8303670437537048,
          "jointInformation": 1.830367043753705,
          "informationDensity": 84.81647812314758,
          "difference": 0.3613714501644236,
          "margin": -0.3413714501644236,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1040653644825733178049337980181339598856383486834289398712338365022617372870405113008338323129169234472102411834519704451107549649273677979961236132546893589446961733560408695320457200725811849855253456606821234769035922599813094305323239703481561131280016381626780379233696017053862256999719579396464720184895460729165793811175839392199549168137986488939578536406687626317129",
            "value": 2.9355937767470956e-26,
            "status": "finite",
            "log2": -84.81647812314759
          }
        },
        {
          "k": 108,
          "count": "8785842533434875833902822344866305480425959342633048574605112601144432803609930206066242500347322191091109745250",
          "singleLikelihood": {
            "numerator": "115628182758414797561037553353482177650709276314921044301370929446957485874489457000926480347685470496900267981613300494567505516585964219995692903616321509938551303728934299480050800080645761095028161845202359418781769177757010478369248855942395681253335153514086708803744001894873584111079953266273857798321717858796199312352871043577727685348665165437730948489631958479681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1562818275841478e-126,
            "status": "finite",
            "log2": -418.3534468782948
          },
          "trueMass": {
            "numerator": "4063564024570647577872327919210979344374366599481002674777395587582937609945876242275005290115918288665636937310474122455171442828056289386042804852470469304757262784142688714767348366105105389899765337202884879136455808408532823089510476835430583238710824093147651509227466575148541414033509566177718289618020756209655921608715548341651100241359448780765983271570948147512398139395915370472409153295056064947565070795526252772801291725487396808247807609536610800860295617653252845061",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0158910061426619e-14,
            "status": "finite",
            "log2": -46.48424770321503
          },
          "falseMass": {
            "numerator": "4392921266717437916951411172433152740212979671316524287302556300572216401804965103033121250173661095545554872625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.684018983937169e-39,
            "status": "finite",
            "log2": -128.1308008249203
          },
          "noiseInformation": 0.8367068937565896,
          "jointInformation": 1.8367068937565896,
          "informationDensity": 81.64655312170521,
          "difference": 0.36771130016730824,
          "margin": -0.3477113001673082,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "115628182758414797561037553353482177650709276314921044301370929446957485874489457000926480347685470496900267981613300494567505516585964219995692903616321509938551303728934299480050800080645761095028161845202359418781769177757010478369248855942395681253335153514086708803744001894873584111079953266273857798321717858796199312352871043577727685348665165437730948489631958479681",
            "value": 2.6420343990723864e-25,
            "status": "finite",
            "log2": -81.64655312170521
          }
        },
        {
          "k": 109,
          "count": "31596791496389645200824828983372401360797945525799587534359671005950620724909106796128138166386699989979036882000",
          "singleLikelihood": {
            "numerator": "12847575862046088617893061483720241961189919590546782700152325494106387319387717444547386705298385610766696442401477832729722835176218246666188100401813501104283478192103811053338977786738417899447573538355817713197974353084112275374360983993599520139259461501565189867082666877208176012342217029585984199813524206532911034705874560397525298372073907270858994276625773164409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.284757586204609e-127,
            "status": "finite",
            "log2": -421.52337187973694
          },
          "trueMass": {
            "numerator": "202971087873559359139392526036022413735314947374688206997036069104550400496786886719138898283058100045480336318260175331603874310473759612554635512508718650288589068728839701349235545299847262084697758942855615777458037321119376484593285795041894575633873986304011135527161939023729387653049917168917631183774737058382405870363977440102858217968005086908800387672758877908366471794495263153056114690578743305230059601407529445328504887409666099494538810262277195965498965611630366369",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.059421757471187e-15,
            "status": "finite",
            "log2": -47.80764718531918
          },
          "falseMass": {
            "numerator": "1974799468524352825051551811460775085049871595362474220897479437871913795306819174758008635399168749373689805125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.652618731223581e-39,
            "status": "finite",
            "log2": -126.28427530558201
          },
          "noiseInformation": 0.8430467437594739,
          "jointInformation": 1.8430467437594737,
          "informationDensity": 78.47662812026307,
          "difference": 0.3740511501701928,
          "margin": -0.3540511501701928,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12847575862046088617893061483720241961189919590546782700152325494106387319387717444547386705298385610766696442401477832729722835176218246666188100401813501104283478192103811053338977786738417899447573538355817713197974353084112275374360983993599520139259461501565189867082666877208176012342217029585984199813524206532911034705874560397525298372073907270858994276625773164409",
            "value": 2.377830959165147e-24,
            "status": "finite",
            "log2": -78.47662812026306
          }
        },
        {
          "k": 110,
          "count": "112312231591712284304750073931805535746109060914433079326678466939333570031267825066237291118701815418925485644200",
          "singleLikelihood": {
            "numerator": "1427508429116232068654784609302249106798879954505198077794702832678487479931968604949709633922042845640744049155719759192191426130690916296243122266868166789364830910233756783704330865193157544383063726483979745910886039231568030597151220443733280015473273500173909985231407430800908445815801892176220466645947134059212337189541617821947255374674878585650999364069530351601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.427508429116232e-128,
            "status": "finite",
            "log2": -424.6932968811793
          },
          "trueMass": {
            "numerator": "801633286450118277005075532122068320914223681045485746826677808281608147416602754618013224532077950684674863640805338935930453084800404126352146317079888810735740665383599224520718163760002822980978017642995411807940329217754305105817926725872533121947926551968367212031518365235133238104469874879260543362181032220480007023356718980608258214398888777589302541212613346082538287592400483766110513575922107397423770748993373869933792030072519645478431058712630137601112076304519931821",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6032665729002366e-15,
            "status": "finite",
            "log2": -49.14790710297871
          },
          "falseMass": {
            "numerator": "14039028948964035538093759241475691968263632614304134915834808367416696253908478133279661389837726927365685705525",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.4310672035531094e-38,
            "status": "finite",
            "log2": -124.45461022179933
          },
          "noiseInformation": 0.8493865937623586,
          "jointInformation": 1.8493865937623586,
          "informationDensity": 75.3067031188207,
          "difference": 0.3803910001730774,
          "margin": -0.3603910001730774,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1427508429116232068654784609302249106798879954505198077794702832678487479931968604949709633922042845640744049155719759192191426130690916296243122266868166789364830910233756783704330865193157544383063726483979745910886039231568030597151220443733280015473273500173909985231407430800908445815801892176220466645947134059212337189541617821947255374674878585650999364069530351601",
            "value": 2.1400478632486328e-23,
            "status": "finite",
            "log2": -75.30670311882068
          }
        },
        {
          "k": 111,
          "count": "394610543430340458368040800300938368837680484293954062499140559516577408217968034016509401227871243363792246858000",
          "singleLikelihood": {
            "numerator": "158612047679581340961642734366916567422097772722799786421633648075387497770218733883301070435782538404527116572857751021354602903410101810693680251874240754373870101137084087078258985021461949375895969609331082878987337692396447844127913382637031112830363722241545553914600825644545382868422432464024496293994126006579148576615735313549695041630542065072333262674392261289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5861204767958134e-129,
            "status": "finite",
            "log2": -427.8632218826217
          },
          "trueMass": {
            "numerator": "31294993164719332135333279031792456972627350911685629755996430953936654403651158588691206963714754831533853535526935153654942612920135896824558264630746410028722608558518888644952961347988098194452595283360181241751424263756174073200099241550579371127096231758524846115344560804975171457531856977268429620745806062661381655566478518762484554916473135461444243350642563060279272488592211077956266295756718907406933993203945526453871760933762028201860671961754329696139510486362639981",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.258998632943867e-16,
            "status": "finite",
            "log2": -50.50491765702145
          },
          "falseMass": {
            "numerator": "24663158964396278648002550018808648052355030268372128906196284969786088013623002126031837576741952710237015428625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.205510098545687e-37,
            "status": "finite",
            "log2": -122.64169577439986
          },
          "noiseInformation": 0.8557264437652434,
          "jointInformation": 1.8557264437652434,
          "informationDensity": 72.13677811737828,
          "difference": 0.3867308501759621,
          "margin": -0.3667308501759621,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "158612047679581340961642734366916567422097772722799786421633648075387497770218733883301070435782538404527116572857751021354602903410101810693680251874240754373870101137084087078258985021461949375895969609331082878987337692396447844127913382637031112830363722241545553914600825644545382868422432464024496293994126006579148576615735313549695041630542065072333262674392261289",
            "value": 1.9260430769237693e-22,
            "status": "finite",
            "log2": -72.1367781173783
          }
        },
        {
          "k": 112,
          "count": "1370566976735736056296141708188080584623729539199536877787193550463826891042763975289483545336088514897457000247875",
          "singleLikelihood": {
            "numerator": "17623560853286815662404748262990729713566419191422198491292627563931944196690970431477896715086948711614124063650861224594955878156677978965964472430471194930430011237453787453139887224606883263988441067703453653220815299155160871569768153626336790314484858026838394879400091738282820318713603607113832921554902889619905397401748368172188337958949118341370362519376917921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7623560853286816e-130,
            "status": "finite",
            "log2": -431.0331468840641
          },
          "trueMass": {
            "numerator": "193234164144060638105470564180432789878603801661043015477501772080656485127306360174617135061667295705820143259047266266218613911522743870869097856212069103193223725861330915601376221656624923772096183575033500048274667279383360547219660396240878974102229113556605795855064034176751455507617339113609827340795532672623451809767621330136610981944572217373044613704761222705533920604164604909920437921418470713988846402481504917310414523860848078897203196716229115107909040939604237343",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.415427051800758e-16,
            "status": "finite",
            "log2": -51.87857123553522
          },
          "falseMass": {
            "numerator": "1370566976735736056296141708188080584623729539199536877787193550463826891042763975289483545336088514897457000247875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.186994895841716e-37,
            "status": "finite",
            "log2": -120.84542435147125
          },
          "noiseInformation": 0.8620662937681282,
          "jointInformation": 1.862066293768128,
          "informationDensity": 68.96685311593592,
          "difference": 0.3930707001788467,
          "margin": -0.3730707001788467,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "17623560853286815662404748262990729713566419191422198491292627563931944196690970431477896715086948711614124063650861224594955878156677978965964472430471194930430011237453787453139887224606883263988441067703453653220815299155160871569768153626336790314484858026838394879400091738282820318713603607113832921554902889619905397401748368172188337958949118341370362519376917921",
            "value": 1.7334387692313924e-21,
            "status": "finite",
            "log2": -68.96685311593592
          }
        },
        {
          "k": 113,
          "count": "4706017583835978671176132590946683777292097886809029279481691129026237466589313472675394828233649060001887753063500",
          "singleLikelihood": {
            "numerator": "1958173428142979518044972029221192190396268799046910943476958618214660466298996714608655190565216523512680451516762358288328430906297553218440496936719021658936667915272643050348876358289653695998715674189272628135646144350573430174418683736259643368276095336315377208822232415364757813190400400790425880172766987735545044155749818685798704217661013149041151391041879769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9581734281429795e-131,
            "status": "finite",
            "log2": -434.20307188550623
          },
          "trueMass": {
            "numerator": "18430397170082479740639768658310698739650510089598006392642745223032132799752917342121791643049879728087073644176582918213574778188501627801674033483353690275066569723253784477220740905302475522019006692997295481497190487807459167237273410457586293498442698146500257815084770221381407260805193602773012047253851198863790388935554836797690526301498038431843979871545564014195467353592887587278547176379146174293921436618196634197748484576698391005927935183357152571747469981456844663",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.21519858504124e-17,
            "status": "finite",
            "log2": -53.26876235720556
          },
          "falseMass": {
            "numerator": "1176504395958994667794033147736670944323024471702257319870422782256559366647328368168848707058412265000471938265875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.437658424412908e-36,
            "status": "finite",
            "log2": -119.06569047169933
          },
          "noiseInformation": 0.8684061437710124,
          "jointInformation": 1.8684061437710124,
          "informationDensity": 65.79692811449378,
          "difference": 0.3994105501817313,
          "margin": -0.3794105501817313,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1958173428142979518044972029221192190396268799046910943476958618214660466298996714608655190565216523512680451516762358288328430906297553218440496936719021658936667915272643050348876358289653695998715674189272628135646144350573430174418683736259643368276095336315377208822232415364757813190400400790425880172766987735545044155749818685798704217661013149041151391041879769",
            "value": 1.5600948923082532e-20,
            "status": "finite",
            "log2": -65.79692811449377
          }
        },
        {
          "k": 114,
          "count": "15975691271443190752150555374529531770281069142062230975082583043273279820790037841450682443214229703690618951189250",
          "singleLikelihood": {
            "numerator": "217574825349219946449441336580132465599585422116323438164106513134962274033221857178739465618357391501408939057418039809814270100699728135382277437413224628770740879474738116705430706476628188444301741576585847570627349372285936686046520415139960374252899481812819689869136935040528645910044488976713986685862998637282782683972202076199856024184557016560127932337986641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1757482534921993e-132,
            "status": "finite",
            "log2": -437.3729968869486
          },
          "trueMass": {
            "numerator": "13903632952869239102587895654515088522894244453556390787432246396322486147182025363355035800897277689609546784203387113740065183545711754306526025259372082137330921019296714605622664191719411358716092768401468521129459490802118319143908011397828256498825193338587913790327107359989482670431988156477886281261677220195490995161909789163170046157270450045075283060990513203691317477271827478122412782180759394642782838150569390710582190119263698478156161629550132641844582617590251237",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.47590823821731e-17,
            "status": "finite",
            "log2": -54.67538761666833
          },
          "falseMass": {
            "numerator": "7987845635721595376075277687264765885140534571031115487541291521636639910395018920725341221607114851845309475594625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.8804720197175035e-36,
            "status": "finite",
            "log2": -117.30239072971966
          },
          "noiseInformation": 0.8747459937738973,
          "jointInformation": 1.8747459937738973,
          "informationDensity": 62.62700311305136,
          "difference": 0.40575040018461594,
          "margin": -0.3857504001846159,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "217574825349219946449441336580132465599585422116323438164106513134962274033221857178739465618357391501408939057418039809814270100699728135382277437413224628770740879474738116705430706476628188444301741576585847570627349372285936686046520415139960374252899481812819689869136935040528645910044488976713986685862998637282782683972202076199856024184557016560127932337986641",
            "value": 1.404085403077428e-19,
            "status": "finite",
            "log2": -62.62700311305139
          }
        },
        {
          "k": 115,
          "count": "53622755050235405481131429344073037072421675555095836142451104823508574007173518319999681939832110135865903610078700",
          "singleLikelihood": {
            "numerator": "24174980594357771827715704064459162844398380235147048684900723681662474892580206353193273957595265722378771006379782201090474455633303126153586381934802736530082319941637568522825634052958687604922415730731760841180816596920659631782946712793328930472544386868091076652126326115614293990004943219634887409540333181920309187108022452911095113798284112951125325815331849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.417498059435777e-133,
            "status": "finite",
            "log2": -440.542921888391
          },
          "trueMass": {
            "numerator": "12963290627554411337195477590924696062408643379402818463644558234252366311140728961968704877165094657462041204595428564984698456156146708121543588768400057258477622013160704922150599946868823150880221759910547944821186868235791476303257228018264992774266967702161678075039283673806619108180549343962473682529003398539757304667867581200443569605570999317389032032710961586050358807311414025495776168893171802734575303203187886024842331850327989402338836688421138163652195387415065163",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2963290627554413e-17,
            "status": "finite",
            "log2": -56.09834563178674
          },
          "falseMass": {
            "numerator": "13405688762558851370282857336018259268105418888773959035612776205877143501793379579999920484958027533966475902519675",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.638141043139962e-35,
            "status": "finite",
            "log2": -115.55542374339592
          },
          "noiseInformation": 0.881085843776782,
          "jointInformation": 1.881085843776782,
          "informationDensity": 59.45707811160899,
          "difference": 0.4120902501875006,
          "margin": -0.3920902501875006,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "24174980594357771827715704064459162844398380235147048684900723681662474892580206353193273957595265722378771006379782201090474455633303126153586381934802736530082319941637568522825634052958687604922415730731760841180816596920659631782946712793328930472544386868091076652126326115614293990004943219634887409540333181920309187108022452911095113798284112951125325815331849",
            "value": 1.2636768627696852e-18,
            "status": "finite",
            "log2": -59.45707811160901
          }
        },
        {
          "k": 116,
          "count": "177972074951212337157203450840242407524847802488895663058997201353886215454843142699998944369270365537141145602416375",
          "singleLikelihood": {
            "numerator": "2686108954928641314190633784939906982710931137238560964988969297962497210286689594799252661955029524708752334042198022343386050625922569572620709103866970725564702215737507613647292672550965289435823970081306760131201844102295514642549634754814325608060487429787897405791814012846032665556104802181654156615592575768923243012002494767899457088698234772347258423925761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6861089549286415e-134,
            "status": "finite",
            "log2": -443.71284688983314
          },
          "trueMass": {
            "numerator": "3824419074029462348521271166671270485844695556375544144446862007806253662673701647783870787516139036875774608252291185838397628827675465614401748410600783175872708410012928272052092704631798400834394925337594604410848233157685607951535657308070515109649641812515131079609290585759040886321464748985097599826564221025139128197033730852238141224632057269881055427274881387455469839704899923230554655190705857511732943856879184765949653457759598406053986302714282140234555727321685891",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.7805238425368274e-18,
            "status": "finite",
            "log2": -57.53753699277445
          },
          "falseMass": {
            "numerator": "177972074951212337157203450840242407524847802488895663058997201353886215454843142699998944369270365537141145602416375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 5.436933634559356e-35,
            "status": "finite",
            "log2": -113.82469010294125
          },
          "noiseInformation": 0.8874256937796663,
          "jointInformation": 1.8874256937796663,
          "informationDensity": 56.287153110166855,
          "difference": 0.41843010019038523,
          "margin": -0.3984301001903852,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2686108954928641314190633784939906982710931137238560964988969297962497210286689594799252661955029524708752334042198022343386050625922569572620709103866970725564702215737507613647292672550965289435823970081306760131201844102295514642549634754814325608060487429787897405791814012846032665556104802181654156615592575768923243012002494767899457088698234772347258423925761",
            "value": 1.1373091764927166e-17,
            "status": "finite",
            "log2": -56.287153110166855
          }
        },
        {
          "k": 117,
          "count": "584113476762953311695436966860282773414885095348170381321836968546088091749228776041022176391451456121899144541264000",
          "singleLikelihood": {
            "numerator": "298456550547626812687848198326656331412325681915395662776552144218055245587409954977694740217225502745416926004688669149265116736213618841402301011540774525062744690637500845960810296950107254381758218897922973347911316011366168293616626083868258400895609714420877489532423779205114740617344978020183795179510286196547027001333610529766606343188692752483028713769529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9845655054762684e-135,
            "status": "finite",
            "log2": -446.8827718912755
          },
          "trueMass": {
            "numerator": "10895780837690775921713023266869716483888021528135453402982512842752859437816813811350059223692703808762890621801399389852984697514744916280346861568663199931261277521404354051430463545959539603516794659081466109432616048882295179349104436775129672677064506588362196808003676882504389989519842589701132763038644504345125721359070458268484732833709564871455998368304505377366010939330199211483061695700016688067615224663473460871651434352591448450296257272690262507790757057896541",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.743324934030524e-18,
            "status": "finite",
            "log2": -58.992864213078974
          },
          "falseMass": {
            "numerator": "4563386537210572747620601303595959167303789807407581104076851316766313216790849812820485753058214500952337066728625",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.7844295005733272e-34,
            "status": "finite",
            "log2": -112.1100923218035
          },
          "noiseInformation": 0.893765543782551,
          "jointInformation": 1.8937655437825511,
          "informationDensity": 53.11722810872449,
          "difference": 0.42476995019326985,
          "margin": -0.40476995019326983,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "298456550547626812687848198326656331412325681915395662776552144218055245587409954977694740217225502745416926004688669149265116736213618841402301011540774525062744690637500845960810296950107254381758218897922973347911316011366168293616626083868258400895609714420877489532423779205114740617344978020183795179510286196547027001333610529766606343188692752483028713769529",
            "value": 1.0235782588434449e-16,
            "status": "finite",
            "log2": -53.117228108724476
          }
        },
        {
          "k": 118,
          "count": "1895893742374670494740274222944816120490686368799569966493758974179252026609784925624673674219711082158367562366984000",
          "singleLikelihood": {
            "numerator": "33161838949736312520872022036295147934702853546155073641839127135339471731934439441966082246358389193935214000520963238807235192912624315711366779060086058340304965626388982884534477438900806042417579877546997038656812890151796477068514009318695377877289968268986387725824864356123860068593886446687088353278920688505225222370401169974067371465410305831447634863281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3161838949736315e-136,
            "status": "finite",
            "log2": -450.0526968927179
          },
          "trueMass": {
            "numerator": "7858915368805211258034063862921094940356143588090166955446897210497825168896119943026502227258579206697150862805905774602058642463554242816144723127679859837425742543687132959882989713940684874099684283292281581756482008892502925971199622005413681045792290062792318978277604983049305773985121867901193687841432853416540774539593193063709327072148330218018168314615114048081322391268298112990607588423929174255925858843898936937556495964298540031004645076158889906749265448539313",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.287132295044169e-19,
            "status": "finite",
            "log2": -60.464231681958154
          },
          "falseMass": {
            "numerator": "29623339724604226480316784733512751882666974512493280726464983971550812915777889462885526159682985658724493161984125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 5.791834734911732e-34,
            "status": "finite",
            "log2": -110.41153478924036
          },
          "noiseInformation": 0.9001053937854359,
          "jointInformation": 1.9001053937854357,
          "informationDensity": 49.94730310728207,
          "difference": 0.43110980019615447,
          "margin": -0.41110980019615445,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "33161838949736312520872022036295147934702853546155073641839127135339471731934439441966082246358389193935214000520963238807235192912624315711366779060086058340304965626388982884534477438900806042417579877546997038656812890151796477068514009318695377877289968268986387725824864356123860068593886446687088353278920688505225222370401169974067371465410305831447634863281",
            "value": 9.212204329591004e-16,
            "status": "finite",
            "log2": -49.947303107282096
          }
        },
        {
          "k": 119,
          "count": "6085978231824572512527602967772434941407077251104501909248873345684657766091914635198532298755711204911734527934352000",
          "singleLikelihood": {
            "numerator": "3684648772192923613430224670699460881633650394017230404648791903926607970214937715774009138484265465992801555613440359867470576990291590634596308784454006482256107291820998098281608604322311782490842208616333004295201432239088497452057112146521708653032218696554043080647207150680428896510431827409676483697657854278358358041155685552674152385045589536827514984809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.6846487721929237e-137,
            "status": "finite",
            "log2": -453.22262189416006
          },
          "trueMass": {
            "numerator": "1401543263717829458715692061454649050987883683777051249757569904019686841511819709727415429884583219868492824272575166152187862474826200166091169110538611791735123086689301956431046718359169758126087486562862541657785306908000054958449232309088714360173975165259881349067247947490585810299867672053340797738294747901549288456640802871305771681400869347937880623801574960955679343354103585043142903257675511001757085937614096129853679485696565028871976852984451888131755089328673",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.2424692219485273e-19,
            "status": "finite",
            "log2": -61.95154561867275
          },
          "falseMass": {
            "numerator": "47546704936129472754121898185722147979742791024253921166006823013161388797593083087488533584028993788372925999487125",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.8592276207867913e-33,
            "status": "finite",
            "log2": -108.72892372451258
          },
          "noiseInformation": 0.9064452437883201,
          "jointInformation": 1.9064452437883201,
          "informationDensity": 46.77737810583993,
          "difference": 0.4374496501990391,
          "margin": -0.41744965019903907,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3684648772192923613430224670699460881633650394017230404648791903926607970214937715774009138484265465992801555613440359867470576990291590634596308784454006482256107291820998098281608604322311782490842208616333004295201432239088497452057112146521708653032218696554043080647207150680428896510431827409676483697657854278358358041155685552674152385045589536827514984809",
            "value": 8.290983896631903e-15,
            "status": "finite",
            "log2": -46.777378105839944
          }
        },
        {
          "k": 120,
          "count": "19322980886043017727275139422677480938967470272256793561865172872548788407341828966755340048549383075594757126191567600",
          "singleLikelihood": {
            "numerator": "409405419132547068158913852299940097959294488224136711627643544880734218912770857308223237609362829554755728401493373318607841887810176737177367642717111831361789699091222010920178733813590198054538023179592556032800159137676499716895234682946856517003579855172671453405245238964492099612270203045519609299739761586484262004572853950297128042782843281869723887201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.0940541913254704e-138,
            "status": "finite",
            "log2": -456.39254689560244
          },
          "trueMass": {
            "numerator": "19777332721351593472988099089415603275051247537742834302134597534500025430222344792820195510593563213699843186957449566814206503811436380121508719670933744172262292445504594274082548136846062142445901199275949198948748219701778553302561389250474080415788316220889436814615609925700488656453688261197142368084825887055195514888153551628425889281990045243123426580311113337930141845107906144497683190413865544135905546008554467610157477187051528740749006703225043310303655149415719",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.910933088540639e-20,
            "status": "finite",
            "log2": -63.45471402823023
          },
          "falseMass": {
            "numerator": "1207686305377688607954696213917342558685466892016049597616573304534299275458864310422208753034336442224672320386972975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.903047695998062e-33,
            "status": "finite",
            "log2": -107.06216713262779
          },
          "noiseInformation": 0.9127850937912049,
          "jointInformation": 1.912785093791205,
          "informationDensity": 43.607453104397564,
          "difference": 0.44378950020192376,
          "margin": -0.42378950020192374,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "409405419132547068158913852299940097959294488224136711627643544880734218912770857308223237609362829554755728401493373318607841887810176737177367642717111831361789699091222010920178733813590198054538023179592556032800159137676499716895234682946856517003579855172671453405245238964492099612270203045519609299739761586484262004572853950297128042782843281869723887201",
            "value": 7.461885506968714e-14,
            "status": "finite",
            "log2": -43.607453104397564
          }
        },
        {
          "k": 121,
          "count": "60683741625589642449293826286094568238079658706261004574452609021227599956941281052620076185526988171289319900436328000",
          "singleLikelihood": {
            "numerator": "45489491014727452017657094699993344217699387580459634625293727208970468768085650812024804178818092172750636489054819257623093543090019637464151960301901314595754411010135778991130970423732244228282002575510284003644462126408499968543914964771872946333731095019185717045027248773832455512474467005057734366637751287387140222730317105588569782531427031318858209689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.5489491014727456e-139,
            "status": "finite",
            "log2": -459.5624718970448
          },
          "trueMass": {
            "numerator": "345059064927162787866642683837370488729085126921133013535865338067493556633815014750765578238087879761521598303206190789228579956306052545737985008032820146256183247442228917545976505601538274294281104486908204573026828442914410020889500822551889373645526178325894673533238373359329003188815497670106248846291728056977699525137665271753987048997071496436496882484766899376191639170845010785542681926412713809533705577743374549672169023465545496854206728522750985211909502147749",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.760472519417302e-20,
            "status": "finite",
            "log2": -64.97364665861619
          },
          "falseMass": {
            "numerator": "948183462899838163270216035720227628719994667285328196475822015956681249327207516447188690398859190176395623444317625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.853849689652284e-32,
            "status": "finite",
            "log2": -105.41117476157143
          },
          "noiseInformation": 0.9191249437940896,
          "jointInformation": 1.9191249437940896,
          "informationDensity": 40.4375281029552,
          "difference": 0.45012935020480827,
          "margin": -0.43012935020480825,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "45489491014727452017657094699993344217699387580459634625293727208970468768085650812024804178818092172750636489054819257623093543090019637464151960301901314595754411010135778991130970423732244228282002575510284003644462126408499968543914964771872946333731095019185717045027248773832455512474467005057734366637751287387140222730317105588569782531427031318858209689",
            "value": 6.715696956271842e-13,
            "status": "finite",
            "log2": -40.437528102955184
          }
        },
        {
          "k": 122,
          "count": "188517525213921922035101312806801978378952382374368202735389662451190658882629061630680400609137118991136493789060396000",
          "singleLikelihood": {
            "numerator": "5054387890525272446406343855554816024188820842273292736143747467663385418676183423558311575424232463638959609894979917513677060343335515273794662255766812732861601223348419887903441158192471580920222508390031555960495791823166663171546107196874771814859010557687301893891916530425828390274940778339748262959750143043015580303368567287618864725714114590984245521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.054387890525273e-140,
            "status": "finite",
            "log2": -462.7323968984872
          },
          "trueMass": {
            "numerator": "238210174148259920949831652412319517720078803466501661439149295314353475344655538416284433792778335937371012307677862129540312938870662868551359413559997878745161112532977704462522942846963580979112092168557758712526717631811587245750675431233453684174233919099297051491980589258990331891732374530000488729953670188696808961798133220391185959143697809015359414320084981536569455821038723292751687522969796965051501664780945271995905391427034140815563479253410971576163390371579",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.528406965930398e-21,
            "status": "finite",
            "log2": -66.50825495945037
          },
          "falseMass": {
            "numerator": "5891172662935060063596916025212561824342261949199006335480926951599708090082158175958762519035534968473015430908137375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 5.759090429329636e-32,
            "status": "finite",
            "log2": -103.77585806096323
          },
          "noiseInformation": 0.9254647937969744,
          "jointInformation": 1.9254647937969744,
          "informationDensity": 37.26760310151278,
          "difference": 0.45646920020769294,
          "margin": -0.4364692002076929,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5054387890525272446406343855554816024188820842273292736143747467663385418676183423558311575424232463638959609894979917513677060343335515273794662255766812732861601223348419887903441158192471580920222508390031555960495791823166663171546107196874771814859010557687301893891916530425828390274940778339748262959750143043015580303368567287618864725714114590984245521",
            "value": 6.044127260644658e-12,
            "status": "finite",
            "log2": -37.267603101512805
          }
        },
        {
          "k": 123,
          "count": "579346540901321028693238180820903640871902443394399842552660913874390805346616140621115377481738463241053615059063656000",
          "singleLikelihood": {
            "numerator": "561598654502808049600704872839424002687646760252588081793749718629265046519575935950923508380470273737662178877219990834853006704815057252643851361751868081429066802594268876433715684243607953435580278710003506217832865758129629241282900799652752423873223395298589099321324058936203154474993419815527584773305571449223953367040951920846540525079346065664916169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.61598654502808e-141,
            "status": "finite",
            "log2": -465.90232189992935
          },
          "trueMass": {
            "numerator": "40670029732629742601190769924054551805867112786963698294488904078060349449087530949121732598767032964917002101310854509921516843221820489752671119388292320761368970432459608078967331705579147972043527931217178316772854229821490505372066537039857946078527742285245838059606442068608105444929917602683010270967699788314089334941144696164348822292826455197744290249770606603804541237738318610957605186848501920862451503743088217170032627804615585017291325726192117098369359331733",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.2536023786103797e-21,
            "status": "finite",
            "log2": -68.05845204201069
          },
          "falseMass": {
            "numerator": "9052289701583141073331846575326619388623475678037497539885326779287356333540877197204927773152163488141462735297869625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.7698668148671565e-31,
            "status": "finite",
            "log2": -102.1561301420814
          },
          "noiseInformation": 0.9318046437998587,
          "jointInformation": 1.9318046437998588,
          "informationDensity": 34.09767810007064,
          "difference": 0.46280905021057755,
          "margin": -0.44280905021057754,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "561598654502808049600704872839424002687646760252588081793749718629265046519575935950923508380470273737662178877219990834853006704815057252643851361751868081429066802594268876433715684243607953435580278710003506217832865758129629241282900799652752423873223395298589099321324058936203154474993419815527584773305571449223953367040951920846540525079346065664916169",
            "value": 5.4397145345801925e-11,
            "status": "finite",
            "log2": -34.09767810007065
          }
        },
        {
          "k": 124,
          "count": "1761400370320951837236699952979682843618606622255554360018977133311655916255437782372262075085608069692558168365056438000",
          "singleLikelihood": {
            "numerator": "62399850500312005511189430315491555854182973361398675754861079847696116279952881772324834264496697081962464319691110092761445189423895250293761262416874231269896311399363208492635076027067550381731142078889278468648096195347736582364766755516972491541469266144287677702369339881800350497221491090614176085922841272135994818560105768982948947231038451740546241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.239985050031201e-142,
            "status": "finite",
            "log2": -469.0722469013717
          },
          "trueMass": {
            "numerator": "54955559889610799142110825309564752798608966023961699845958124865336027750200713863150154801918177160479246567004272939929791576683248475400562767058731917301204666139918538515307111301087235790180681111357979302592709837429039141667631127111205898464533902657841150352944905590914895171106017692514318538189329104639468384490363980121718659513962629424908951341087880608008286905474358839896118836709266036434208662763957913523664160151756543195407992110302609842599456874779",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.099111197792216e-21,
            "status": "finite",
            "log2": -69.62415264057131
          },
          "falseMass": {
            "numerator": "110087523145059489827293747061230177726162913890972147501186070831978494765964861398266379692850504355784885522816027375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.380966041975145e-31,
            "status": "finite",
            "log2": -100.55190573919958
          },
          "noiseInformation": 0.9381444938027435,
          "jointInformation": 1.9381444938027435,
          "informationDensity": 30.927753098628273,
          "difference": 0.46914890021346217,
          "margin": -0.44914890021346215,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "62399850500312005511189430315491555854182973361398675754861079847696116279952881772324834264496697081962464319691110092761445189423895250293761262416874231269896311399363208492635076027067550381731142078889278468648096195347736582364766755516972491541469266144287677702369339881800350497221491090614176085922841272135994818560105768982948947231038451740546241",
            "value": 4.895743081122173e-10,
            "status": "finite",
            "log2": -30.927753098628273
          }
        },
        {
          "k": 125,
          "count": "5298292313925423126407993458562885993604768719744707514937083217001460996096356849375764321857509073635214970442089765504",
          "singleLikelihood": {
            "numerator": "6933316722256889501243270035054617317131441484599852861651231094188457364439209085813870473832966342440273813299012232529049465491543916699306806935208247918877367933262578721403897336340838931303460230987697607627566243927526286929418528390774721282385474016031964189152148875755594499691276787846019565102537919126221646506678418775883216359004272415616249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.93331672225689e-143,
            "status": "finite",
            "log2": -472.2421719028141
          },
          "trueMass": {
            "numerator": "286990146090189728853245421061060375726069044791799988084447985407865922695492616840895252854461591838058287627688980908522244900456964260425161116862266679239624367619574590024381581239011120237610223581536114135761929151018315517597629219358519691981454824990948229620934506974777785893553647949796996810544274213117223785671900785080086333017360398107857857003458932064043276061921651719457509480592833745823089683322891326179135058570284170020463958798246962511352719234957",
            "denominator": "781250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.6734738699544285e-22,
            "status": "finite",
            "log2": -71.2052730749981
          },
          "falseMass": {
            "numerator": "41392908702542368175062448895022546825037255623005527460445962632823914032002787885748158764511789637775116956578826293",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.6185945854261235e-30,
            "status": "finite",
            "log2": -98.96310117218405
          },
          "noiseInformation": 0.9444843438056282,
          "jointInformation": 1.944484343805628,
          "informationDensity": 27.75782809718591,
          "difference": 0.4754887502163468,
          "margin": -0.45548875021634677,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6933316722256889501243270035054617317131441484599852861651231094188457364439209085813870473832966342440273813299012232529049465491543916699306806935208247918877367933262578721403897336340838931303460230987697607627566243927526286929418528390774721282385474016031964189152148875755594499691276787846019565102537919126221646506678418775883216359004272415616249",
            "value": 4.406168773009955e-9,
            "status": "finite",
            "log2": -27.757828097185893
          }
        },
        {
          "k": 126,
          "count": "15768727124778045019071409102865732123823716427811629508741319098218633916953443004094536672194967481057187412030029064000",
          "singleLikelihood": {
            "numerator": "770368524695209944582585559450513035236826831622205873516803454909828596048801009534874497092551815826697090366556914725449940610171546299922978548356471990986374214806953191267099704037870992367051136776410845291951804880836254103268725376752746809153941557336884909905794319528399388854586309760668840566948657680691294056297602086209246262111585823957361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.7036852469521e-144,
            "status": "finite",
            "log2": -475.41209690425626
          },
          "trueMass": {
            "numerator": "1518466381429575284937806460640531088497719813713227450182264473057491654473505909211085993938950221365387765225867623854615052383370181272090799560117813117669970199045368201187204133539741376918572611542519122411438778576816484220093276292902220592494469973497080580004944481348030613193405544707920618045207800069403300453290480344339081127075980942369618291023592233143086116729744188991838674500491183840333807848269266276080079674975048518626793432794957473605040842513",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2147731051436604e-22,
            "status": "finite",
            "log2": -72.8017312145571
          },
          "falseMass": {
            "numerator": "246386361324656953422990767232277064434745569184556711074083110909666154952397546938977135503046366891518553312969204125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.817245789958702e-30,
            "status": "finite",
            "log2": -97.38963431030072
          },
          "noiseInformation": 0.9508241938085125,
          "jointInformation": 1.9508241938085125,
          "informationDensity": 24.58790309574377,
          "difference": 0.48182860021923146,
          "margin": -0.46182860021923144,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "770368524695209944582585559450513035236826831622205873516803454909828596048801009534874497092551815826697090366556914725449940610171546299922978548356471990986374214806953191267099704037870992367051136776410845291951804880836254103268725376752746809153941557336884909905794319528399388854586309760668840566948657680691294056297602086209246262111585823957361",
            "value": 3.96555189570896e-8,
            "status": "finite",
            "log2": -24.58790309574374
          }
        },
        {
          "k": 127,
          "count": "46437038934385738875060685074580974915827322393712987687159475139635977046776280972687848152763132582010929859049061968000",
          "singleLikelihood": {
            "numerator": "85596502743912216064731728827834781692980759069133985946311494989980955116533445503874944121394646202966343374061879413938882290019060699991442060928496887887374912756328132363011078226430110263005681864045649476883533875648472678140969486305860756572660173037431656656199368836488820983842923306740982285216517520076810450699733565134360695790176202661929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.559650274391221e-145,
            "status": "finite",
            "log2": -478.58202190569864
          },
          "trueMass": {
            "numerator": "248428008160394206722108318582484088844333862785978594211796549835302659130836049888427892271726764125395898597757870219433958701391272001645651371602826818026495561873564176397206625522249901560606367767673732188048164124116082720172740740833521654240127633459277400228280505697359339166375185354664178105383953292194590712830551027464049143274898019442798443063352360103024587776432338881429424437088233926633790085412382146655271127926801463677349406765229262960754713517",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.9748481305663076e-23,
            "status": "finite",
            "log2": -74.41344644288392
          },
          "falseMass": {
            "numerator": "362789366674888584961411602145163866529900956200882716305933399528406070677939695099123813693461973296960389523820796625",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.418621988539019e-29,
            "status": "finite",
            "log2": -95.83142453718523
          },
          "noiseInformation": 0.9571640438113973,
          "jointInformation": 1.9571640438113973,
          "informationDensity": 21.417978094301347,
          "difference": 0.4881684502221161,
          "margin": -0.46816845022211606,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "85596502743912216064731728827834781692980759069133985946311494989980955116533445503874944121394646202966343374061879413938882290019060699991442060928496887887374912756328132363011078226430110263005681864045649476883533875648472678140969486305860756572660173037431656656199368836488820983842923306740982285216517520076810450699733565134360695790176202661929",
            "value": 3.5689967061380644e-7,
            "status": "finite",
            "log2": -21.41797809430136
          }
        },
        {
          "k": 128,
          "count": "135320433769733442190606527600146122215653056662929253182113158024095464362871506271973182507661316039766225292385157141125",
          "singleLikelihood": {
            "numerator": "9510722527101357340525747647537197965886751007681553994034610554442328346281493944874993791266071800329593708229097712659875810002117855554604673436499654209708323639592014707001230914047790029222853540449516608542614875072052519793441054033984528508073352559714628517355485426276535664871435922971220253912946391119645605633303729459373410643352911406881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.510722527101357e-146,
            "status": "finite",
            "log2": -481.751946907141
          },
          "trueMass": {
            "numerator": "10295960782647448789705155870140729459881836757685557293444457009840876872866871845375955979706009224308074464107076176872096288402104939623758662400872711458209204953204381977350896813311023698011797241926922456237996135366144317180492477370100397447951956364478941142794292069457225945450882681921082048145357175332064703987310614804898925604615217916907091029181158924269796804512140266974797257225990139403822633539868726744712903412966327327961258747047835009373500904649",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2869950978309311e-23,
            "status": "finite",
            "log2": -76.04033962407107
          },
          "falseMass": {
            "numerator": "135320433769733442190606527600146122215653056662929253182113158024095464362871506271973182507661316039766225292385157141125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.1339531384769856e-29,
            "status": "finite",
            "log2": -94.28839271692999
          },
          "noiseInformation": 0.963503893814282,
          "jointInformation": 1.963503893814282,
          "informationDensity": 18.248053092858985,
          "difference": 0.4945083002250007,
          "margin": -0.4745083002250007,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9510722527101357340525747647537197965886751007681553994034610554442328346281493944874993791266071800329593708229097712659875810002117855554604673436499654209708323639592014707001230914047790029222853540449516608542614875072052519793441054033984528508073352559714628517355485426276535664871435922971220253912946391119645605633303729459373410643352911406881",
            "value": 0.000003212097035524258,
            "status": "finite",
            "log2": -18.24805309285898
          }
        },
        {
          "k": 129,
          "count": "390226367149928996084539754009723701273046023865191334757721664999717153046420157621504061184883795091418882238506034546500",
          "singleLikelihood": {
            "numerator": "1056746947455706371169527516393021996209639000853505999337178950493592038475721549430554865696230200036621523136566412517763978889124206172733852604055517134412035959954668300777914546005310003246983726716612956504734986119116946643715672670442725389785928062190514279706165047364059518319048435885691139323660710124405067292589303273263712293705879045209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0567469474557064e-146,
            "status": "finite",
            "log2": -484.9218719085834
          },
          "trueMass": {
            "numerator": "824741044604834399175348403034528716424643254491607948570486220426530188782617641360864690880843116159044724515037109775284198812571713509913484585082827016032261895476320003353689408818195696739963086562621695460924755029329389748308182941790987909267469372865238179396958796261431535682112049456210706698982099316005183006735475604526787322333518747865942692259989474553911371937664982625888152387611613233897937053581215837431782960728568855728162845370756809536378625437",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.123705223024172e-24,
            "status": "finite",
            "log2": -77.68233306982847
          },
          "falseMass": {
            "numerator": "97556591787482249021134938502430925318261505966297833689430416249929288261605039405376015296220948772854720559626508636625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.1921167190026656e-28,
            "status": "finite",
            "log2": -92.76046116124525
          },
          "noiseInformation": 0.9698437438171668,
          "jointInformation": 1.9698437438171668,
          "informationDensity": 15.07812809141662,
          "difference": 0.5008481502278853,
          "margin": -0.4808481502278853,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1056746947455706371169527516393021996209639000853505999337178950493592038475721549430554865696230200036621523136566412517763978889124206172733852604055517134412035959954668300777914546005310003246983726716612956504734986119116946643715672670442725389785928062190514279706165047364059518319048435885691139323660710124405067292589303273263712293705879045209",
            "value": 0.00002890887331971832,
            "status": "finite",
            "log2": -15.078128091416602
          }
        },
        {
          "k": 130,
          "count": "1113646017020181981133571144135442255171539037338353732270113367037654336770937526750600051535322215222433887003736452436550",
          "singleLikelihood": {
            "numerator": "117416327495078485685503057377002444023293222317056222148575438943732448719524616603394985077358911115180169237396268057529330987680467352525983622672835237156892884439407588975323838445034444805220414079623661833859442902124105182635074741160302821087325340243390475522907227484895502035449826209521237702628967791600563032509922585918190254856208782801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1741632749507848e-147,
            "status": "finite",
            "log2": -488.09179691002555
          },
          "trueMass": {
            "numerator": "2615204508960628735846617585690685075158484165952021785638037502378142735370522606366502566810194838418851220470758698518208869739009450531435066504835289085025377463433459155933493766423509431542959872775492726632504992443429090569421674114568004396053257584042763799626253960794795724256953592720121129789079990138785665773494542301533658945177226115027903750670564915038471102469006056018841919109435115468172090998962658766557192123335889277565371073782485267846123675531",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3076022544803146e-24,
            "status": "finite",
            "log2": -79.33935050767855
          },
          "falseMass": {
            "numerator": "556823008510090990566785572067721127585769518669176866135056683518827168385468763375300025767661107611216943501868226218275",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.4021177134614534e-28,
            "status": "finite",
            "log2": -91.24755359765288
          },
          "noiseInformation": 0.9761835938200512,
          "jointInformation": 1.9761835938200512,
          "informationDensity": 11.908203089974423,
          "difference": 0.5071880002307699,
          "margin": -0.4871880002307699,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "117416327495078485685503057377002444023293222317056222148575438943732448719524616603394985077358911115180169237396268057529330987680467352525983622672835237156892884439407588975323838445034444805220414079623661833859442902124105182635074741160302821087325340243390475522907227484895502035449826209521237702628967791600563032509922585918190254856208782801",
            "value": 0.0002601798598774649,
            "status": "finite",
            "log2": -11.90820308997445
          }
        },
        {
          "k": 131,
          "count": "3145412414484483458163521552138272018423430868818250999541541571022382477902647976318488695176100913223668230468568606118500",
          "singleLikelihood": {
            "numerator": "13046258610564276187278117486333604891477024701895135794286159882636938746613846289266109453039879012797796581932918673058814554186718594725109291408092804128543653826600843219480426493892716089468934897735962425984382544680456131403897193462255869009702815582598941724767469720543944670605536245502359744736551976844507003612213620657576694984023198089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3046258610564276e-148,
            "status": "finite",
            "log2": -491.26172191146793
          },
          "trueMass": {
            "numerator": "82071727592487924704261959856281041374778553129961667573034255799822969642671192905479724318895003410939351278556464669358548074930746115066240424664042151099184873746427471390618549073511322279125967169375089809501853028334924810066668314028003530664945318583191060717702626420192910769726278991216693640539405967035682471263187502253388787931770454839722170292460476553370170306491284200760942329982272495608454085633264100392380075117411283519863214359586051662685815093",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.1035863796243965e-25,
            "status": "finite",
            "log2": -81.011317050142
          },
          "falseMass": {
            "numerator": "786353103621120864540880388034568004605857717204562749885385392755595619475661994079622173794025228305917057617142151529625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 9.609034763211738e-28,
            "status": "finite",
            "log2": -89.74959513867401
          },
          "noiseInformation": 0.9825234438229359,
          "jointInformation": 1.9825234438229358,
          "informationDensity": 8.73827808853206,
          "difference": 0.5135278502336545,
          "margin": -0.49352785023365453,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "13046258610564276187278117486333604891477024701895135794286159882636938746613846289266109453039879012797796581932918673058814554186718594725109291408092804128543653826600843219480426493892716089468934897735962425984382544680456131403897193462255869009702815582598941724767469720543944670605536245502359744736551976844507003612213620657576694984023198089",
            "value": 0.0023416187388971836,
            "status": "finite",
            "log2": -8.73827808853207
          }
        },
        {
          "k": 132,
          "count": "8792857431399806030775298884386533142410954474196474385082036664448932835955129570163047943333191189238890735173498603467625",
          "singleLikelihood": {
            "numerator": "1449584290062697354142013054037067210164113855766126199365128875848548749623760698807345494782208779199755175770324297006534950465190954969456587934232533792060405980733427024386714054876968454385437210859551380664931393853384014600433021495806207667744757286955437969418607746727104963400615138389151082748505775204945222623579291184175188331558133121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4495842900626973e-149,
            "status": "finite",
            "log2": -494.4316469129103
          },
          "trueMass": {
            "numerator": "101967903978545603420446677397197657465633959949346314257406196599780053192409663912868748396202883025712527346085304589203044577944260324779268406400779642274744843139500797788344257939817097377095898604375111581502302247325209612507072753792368022947356304906388893618963869188724525501781134504238922401882292262074635797630020836132998191066745110558442696423966046626914454017155837946399958652402217343028685379120116003517805547873147352251951266325546306611215709661",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.27459879973182e-25,
            "status": "finite",
            "log2": -82.69815916488233
          },
          "falseMass": {
            "numerator": "8792857431399806030775298884386533142410954474196474385082036664448932835955129570163047943333191189238890735173498603467625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.6861619906250997e-27,
            "status": "finite",
            "log2": -88.26651225197207
          },
          "noiseInformation": 0.9888632938258206,
          "jointInformation": 1.9888632938258206,
          "informationDensity": 5.568353087089695,
          "difference": 0.5198677002365392,
          "margin": -0.49986770023653915,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1449584290062697354142013054037067210164113855766126199365128875848548749623760698807345494782208779199755175770324297006534950465190954969456587934232533792060405980733427024386714054876968454385437210859551380664931393853384014600433021495806207667744757286955437969418607746727104963400615138389151082748505775204945222623579291184175188331558133121",
            "value": 0.021074568650074656,
            "status": "finite",
            "log2": -5.56835308708969
          }
        },
        {
          "k": 133,
          "count": "24329109283873147513724135259054467642159633432363177245941274379828626192717952494887230399598604192781291658224417188542000",
          "singleLikelihood": {
            "numerator": "161064921118077483793557006004118578907123761751791799929458763983172083291528966534149499420245419911083908418924921889614994496132328329939620881581392643562267331192603002709634894986329828265048578984394597851659043761487112733381446832867356407527195254106159774379845305191900551488957237598794564749833975022771691402619921242686132036839792569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.610649211180775e-150,
            "status": "finite",
            "log2": -497.60157191435246
          },
          "trueMass": {
            "numerator": "1959283033840057542748766566529278297167569823588107959833201772593935859169107994984111289150097167578436197961538851755781140595420206741790453924158673159832189968428169046893832859328148069902427458563598635233544654710509457884429969371114840875346027579654924438793791972715675928605652542687965927521547804534433269294478261680082672008801284496945849638889907328670870879193470570398662530497285713358111749139317183024987074019283533084206248225135810402721772199",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.9185660676801155e-26,
            "status": "finite",
            "log2": -84.39980464576888
          },
          "falseMass": {
            "numerator": "1520569330242071719607758453690904227634977089522698577871329648739289137044872030930451899974912762048830728639026074283875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.43238806428599e-27,
            "status": "finite",
            "log2": -86.79823273141625
          },
          "noiseInformation": 0.9952031438287049,
          "jointInformation": 1.995203143828705,
          "informationDensity": 2.3984280856475526,
          "difference": 0.5262075502394239,
          "margin": -0.5062075502394239,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "161064921118077483793557006004118578907123761751791799929458763983172083291528966534149499420245419911083908418924921889614994496132328329939620881581392643562267331192603002709634894986329828265048578984394597851659043761487112733381446832867356407527195254106159774379845305191900551488957237598794564749833975022771691402619921242686132036839792569",
            "value": 0.1896711178506719,
            "status": "finite",
            "log2": -2.398428085647538
          }
        },
        {
          "k": 134,
          "count": "66632709755085411474154907761738728542332727385651388427316773861172431438264840041967265348154386110080104765435530658171000",
          "singleLikelihood": {
            "numerator": "17896102346453053754839667333790953211902640194643533325495418220352453699058774059349944380027268879009323157658324654401666055125814258882180097953488071506918592354733666967737210554036647585005397664932733094628782640165234748153494092540817378614132806011795530486649478354655616832106359733199396083314886113641299044735546804742903559648865841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7896102346453054e-151,
            "status": "finite",
            "log2": -500.77149691579484
          },
          "trueMass": {
            "numerator": "1192465793398509317062682139164585630282749793129080632269958624447718839660137038406581829383226634330491019323191971134944740627726726159597175108070038224972493728711671708474355985693914331101477408445838638691062832966429471050722717676947175126454381628081852850808161946909872414259161663626009113433512511217474311494317615317728591421608741974094737674083907113801342641233836980657229102309293294863063038033382099784693625481056478676457202485281662384409436811",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1924657933985094e-26,
            "status": "finite",
            "log2": -86.11618258482576
          },
          "falseMass": {
            "numerator": "8329088719385676434269363470217341067791590923206423553414596732646553929783105005245908168519298263760013095679441332271375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.0355868802932525e-26,
            "status": "finite",
            "log2": -85.34468566903081
          },
          "noiseInformation": 1.0015429938315896,
          "jointInformation": 2.0015429938315896,
          "informationDensity": -0.7714969157948115,
          "difference": 0.5325474002423085,
          "margin": -0.5125474002423085,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "17896102346453053754839667333790953211902640194643533325495418220352453699058774059349944380027268879009323157658324654401666055125814258882180097953488071506918592354733666967737210554036647585005397664932733094628782640165234748153494092540817378614132806011795530486649478354655616832106359733199396083314886113641299044735546804742903559648865841",
            "value": 1.707040060656047,
            "status": "finite",
            "log2": 0.7714969157948491
          }
        },
        {
          "k": 135,
          "count": "180648679780453782218819972154047219603657616467765986402947698023623036343740233002666808277218557898439395141847438673263600",
          "singleLikelihood": {
            "numerator": "1988455816272561528315518592643439245766960021627059258388379802261383744339863784372216042225252097667702573073147183822407339458423806542464455328165341278546510261637074107526356728226294176111710851659192566069864737796137194239277121393424153179348089556866170054072164261628401870234039970355488453701654012626811004970616311638100395516540649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9884558162725613e-152,
            "status": "finite",
            "log2": -503.9414219172372
          },
          "trueMass": {
            "numerator": "898029795028507016553377907272095351200589350381159488499598470263096903941584683244462859165145983878517928132280373323847273806065806120190465204842868292880519968535950298974515001571960175273952122409829098273516454456199972025852910843133057811280460238432012640732072577302496509503813104706006863203015594867480654335226846103474618231088064943454061705174300419035579026114371059507295990627986308477121547160942075146497668572153644435356658661755325993197230191",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5921191801140285e-27,
            "status": "finite",
            "log2": -87.84722334503476
          },
          "falseMass": {
            "numerator": "11290542486278361388676248259627951225228601029235374150184231126476439771483764562666675517326159868652462196365464917078975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.518702208795039e-26,
            "status": "finite",
            "log2": -83.9058014277976
          },
          "noiseInformation": 1.0078828438344745,
          "jointInformation": 2.0078828438344747,
          "informationDensity": -3.941421917237231,
          "difference": 0.5388872502451931,
          "margin": -0.5188872502451931,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1988455816272561528315518592643439245766960021627059258388379802261383744339863784372216042225252097667702573073147183822407339458423806542464455328165341278546510261637074107526356728226294176111710851659192566069864737796137194239277121393424153179348089556866170054072164261628401870234039970355488453701654012626811004970616311638100395516540649",
            "value": 15.363360545904426,
            "status": "finite",
            "log2": 3.9414219172372214
          }
        },
        {
          "k": 136,
          "count": "484829177351953165513744778207553199671581103020107242919675807195753001951949890043921948685182159065664553138046434674567750",
          "singleLikelihood": {
            "numerator": "220939535141395725368390954738159916196328891291895473154264422473487082704429309374690671358361344185300285897016353758045259939824867393607161703129482364282945584626341567502928525358477130679078983517688062896651637532904132693253013488158239242149787728540685561563573806847600207803782218928387605966850445847423444996735145737566710612948961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.209395351413957e-153,
            "status": "finite",
            "log2": -507.1113469186794
          },
          "trueMass": {
            "numerator": "428471732268503347767297955757274252533614526652448644839677701498078914952520796580691429536311482504129468978146844788502294038188260436430744836297577682224038939236107005393069249116033286241820293698807347542266020753611751358740277722540609282506363381735535442963668615314263040482211481330317000090327702126314299127265096506886582554702148633151284342991659677056191300041497302902173904025117650449868450606201120821531567357955660416869516877830972532701946431",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0711793306712584e-27,
            "status": "finite",
            "log2": -89.59285853396
          },
          "falseMass": {
            "numerator": "242414588675976582756872389103776599835790551510053621459837903597876500975974945021960974342591079532832276569023217337283875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.4811222839780807e-25,
            "status": "finite",
            "log2": -82.48151161528057
          },
          "noiseInformation": 1.0142226938373589,
          "jointInformation": 2.014222693837359,
          "informationDensity": -7.111346918679429,
          "difference": 0.5452271002480776,
          "margin": -0.5252271002480776,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "220939535141395725368390954738159916196328891291895473154264422473487082704429309374690671358361344185300285897016353758045259939824867393607161703129482364282945584626341567502928525358477130679078983517688062896651637532904132693253013488158239242149787728540685561563573806847600207803782218928387605966850445847423444996735145737566710612948961",
            "value": 138.2702449131398,
            "status": "finite",
            "log2": 7.111346918679374
          }
        },
        {
          "k": 137,
          "count": "1288159274132196731729949629690141348032522054739555010385124042476307246062115036321077294316834349634320418556561330084253000",
          "singleLikelihood": {
            "numerator": "24548837237932858374265661637573324021814321254655052572696046941498564744936589930521185706484593798366698433001817084227251104424985265956351300347720262698105064958482396389214280595386347853230998168632006988516848614767125854805890387573137693572198636504520617951508200760844467533753579880931956218538938427491493888526127304174078956994329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.454883723793286e-154,
            "status": "finite",
            "log2": -510.28127192012175
          },
          "trueMass": {
            "numerator": "31622812357205032154764082703902641508969117538826299010876456477149376529342572983652003315331991003954405253050578163628312049858176561001782465614825279061141559992283647599975102732813486656938886234056341140588976389763722119744821794607619987597793242285428812092209119216218926750917473480177491490851436247765288905580797876826179247751740085658367295387056796927910306815714723896267498188390678175943251423490918081718874800952120922899534497877225061213201237",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1622812357205033e-28,
            "status": "finite",
            "log2": -91.35302097816407
          },
          "falseMass": {
            "numerator": "161019909266524591466243703711267668504065256842444376298140505309538405757764379540134661789604293704290052319570166260531625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.935244608525703e-25,
            "status": "finite",
            "log2": -81.07174905804237
          },
          "noiseInformation": 1.0205625438402435,
          "jointInformation": 2.0205625438402435,
          "informationDensity": -10.281271920121737,
          "difference": 0.5515669502509623,
          "margin": -0.5315669502509622,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "24548837237932858374265661637573324021814321254655052572696046941498564744936589930521185706484593798366698433001817084227251104424985265956351300347720262698105064958482396389214280595386347853230998168632006988516848614767125854805890387573137693572198636504520617951508200760844467533753579880931956218538938427491493888526127304174078956994329",
            "value": 1244.4322042182582,
            "status": "finite",
            "log2": 10.281271920121753
          }
        },
        {
          "k": 138,
          "count": "3388418960217300098680954460706676154607286274423612092534782807383329929859041725975007665485586006646799361855302629134665500",
          "singleLikelihood": {
            "numerator": "2727648581992539819362851293063702669090480139406116952521782993499840527215176658946798411831621533151855381444646342691916789380553918439594588927524473633122784995386932932134920066154038650358999796514667443168538734974125094978432265285904188174688737389391179772389800084538274170417064431214661802059882047499054876502903033797119884110481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.72764858199254e-155,
            "status": "finite",
            "log2": -513.4511969215641
          },
          "trueMass": {
            "numerator": "18484832344066709617036009696484152766112382715932281064328749921425480966427301116047789377561212132746294858063381438642636512235938955947901827726540380514000622024474982413512016573287110557920798233433899893774232575658987326034412739843101538644120687519501866005590837802717343656333402372470900823154704280094685785387809386937041975738939856834118080878424504484430662438171408654339938554566531687387117981847348250666588651764283244786684416633547016457958211",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.242416172033355e-29,
            "status": "finite",
            "log2": -93.12764469838885
          },
          "falseMass": {
            "numerator": "847104740054325024670238615176669038651821568605903023133695701845832482464760431493751916371396501661699840463825657283666375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.035140429633935e-24,
            "status": "finite",
            "log2": -79.67644777682483
          },
          "noiseInformation": 1.0269023938431283,
          "jointInformation": 2.0269023938431285,
          "informationDensity": -13.451196921564158,
          "difference": 0.5579068002538469,
          "margin": -0.5379068002538469,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2727648581992539819362851293063702669090480139406116952521782993499840527215176658946798411831621533151855381444646342691916789380553918439594588927524473633122784995386932932134920066154038650358999796514667443168538734974125094978432265285904188174688737389391179772389800084538274170417064431214661802059882047499054876502903033797119884110481",
            "value": 11199.889837964325,
            "status": "finite",
            "log2": 13.451196921564133
          }
        },
        {
          "k": 139,
          "count": "8824515565458004573543205142272063078905306700297464586313607023545075069129302912251458812271813916590945100659133465803949000",
          "singleLikelihood": {
            "numerator": "303072064665837757706983477007078074343386682156235216946864777055537836357241850994088712425735725905761709049405149187990754375617102048843843214169385959235864999487436992459435562906004294484333310723851938129837637219347232775381362809544909797187637487710131085821088898282030463379673825690517978006653560833228319611433670421902209345609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.0307206466583776e-156,
            "status": "finite",
            "log2": -516.6211219230065
          },
          "trueMass": {
            "numerator": "2674464152099180208380110115958138809485484629563343623216230004618714672200912471626418766857377614729879591774158305670917033345087890508849105370506641784999290636634669717702378097334106323727949224821371607332642762745225184662053322071623803752666542318968695241416420177691318306791643348854702677051160251556465329460586330164352196329934543634672560063145351967771342846769804129844547464729450228151133776750095949936572778552626112954748105044502006378009941",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.67446415209918e-29,
            "status": "finite",
            "log2": -94.91666488547162
          },
          "falseMass": {
            "numerator": "1103064445682250571692900642784007884863163337537183073289200877943134383641162864031432351533976739573868137582391683225493625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.695833349118593e-24,
            "status": "finite",
            "log2": -78.2955429624651
          },
          "noiseInformation": 1.033242243846013,
          "jointInformation": 2.033242243846013,
          "informationDensity": -16.621121923006466,
          "difference": 0.5642466502567315,
          "margin": -0.5442466502567315,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "303072064665837757706983477007078074343386682156235216946864777055537836357241850994088712425735725905761709049405149187990754375617102048843843214169385959235864999487436992459435562906004294484333310723851938129837637219347232775381362809544909797187637487710131085821088898282030463379673825690517978006653560833228319611433670421902209345609",
            "value": 100799.00854167892,
            "status": "finite",
            "log2": 16.621121923006513
          }
        },
        {
          "k": 140,
          "count": "22754643708073854650350693259715819796320112277195605111851515253569800713969131080876975937358034456352365580985337008251611350",
          "singleLikelihood": {
            "numerator": "33674673851759750856331497445230897149265186906248357438540530783948648484137983443787634713970636211751301005489461020887861597290789116538204801574376217692873888831937443606603951434000477164925923413761326458870848579927470308375706978838323310798626387523347898424565433142447829264408202854501997556294840092580924401270407824655801038401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.367467385175975e-157,
            "status": "finite",
            "log2": -519.7910469244487
          },
          "trueMass": {
            "numerator": "15325104109647683416273329394617271590861269067815349967953317962973904708960784162811701187865290776468040200483669021384143635517090928153881381567506312450551490790874853461754896716470037823266502700960557940429905354778195105761924591553272907217660663129328555272243296573755014424631480141849962958975696044633079110083677225227478458335021750033599907663420191434372297899744433188474311662973516386707290371536264094080996397738063917089905808270876576229549027",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.662552054823842e-30,
            "status": "finite",
            "log2": -96.72001787697172
          },
          "falseMass": {
            "numerator": "11377321854036927325175346629857909898160056138597802555925757626784900356984565540438487968679017228176182790492668504125805675",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.95139885022723e-24,
            "status": "finite",
            "log2": -76.92897095252289
          },
          "noiseInformation": 1.0395820938488973,
          "jointInformation": 2.0395820938488973,
          "informationDensity": -19.791046924448665,
          "difference": 0.5705865002596162,
          "margin": -0.5505865002596162,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "33674673851759750856331497445230897149265186906248357438540530783948648484137983443787634713970636211751301005489461020887861597290789116538204801574376217692873888831937443606603951434000477164925923413761326458870848579927470308375706978838323310798626387523347898424565433142447829264408202854501997556294840092580924401270407824655801038401",
            "value": 907191.0768751103,
            "status": "finite",
            "log2": 19.791046924448665
          }
        },
        {
          "k": 141,
          "count": "58096962658911969320044323216295710118264116452414310923876209158050555014389270844792278988999236909835827015281711510429646000",
          "singleLikelihood": {
            "numerator": "3741630427973305650703499716136766349918354100694261937615614531549849831570887049309737190441181801305700111721051224543095733032309901837578311286041801965874876536881938178511550159333386351658435934862369606541205397769718923152856330982035923422069598613705322047173937015827536584934244761611333061810537788064547155696711980517311226489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.7416304279733056e-158,
            "status": "finite",
            "log2": -522.960971925891
          },
          "trueMass": {
            "numerator": "108688681628706974583498790032746607027384887005782623886193744418254643325963008246891497786278657989135036882862900860880451315724049135843130365726995123762776530431736549374148203662908069668556756744401120144892945778568759615332798521654417781685536617938500392001725507615283790245613334339361439425359546415837440497047356207287081264787388298110637643002980081094838992196769029705491572077826357352533974266214638965113449629347971043190821335254443803046447",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1737736325741394e-30,
            "status": "finite",
            "log2": -98.53764113448301
          },
          "falseMass": {
            "numerator": "3631060166181998082502770201018481882391507278275894432742263072378159688399329427799517436812452306864739188455106969401852875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.7748252383558885e-23,
            "status": "finite",
            "log2": -75.57666920859202
          },
          "noiseInformation": 1.0459219438517822,
          "jointInformation": 2.0459219438517824,
          "informationDensity": -22.960971925891084,
          "difference": 0.5769263502625008,
          "margin": -0.5569263502625008,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3741630427973305650703499716136766349918354100694261937615614531549849831570887049309737190441181801305700111721051224543095733032309901837578311286041801965874876536881938178511550159333386351658435934862369606541205397769718923152856330982035923422069598613705322047173937015827536584934244761611333061810537788064547155696711980517311226489",
            "value": 8164719.691875992,
            "status": "finite",
            "log2": 22.960971925891045
          }
        },
        {
          "k": 142,
          "count": "146878940806685894266872619962325069946878998636737588885010979491127811620885550938594564486272718666415928862578411494677767000",
          "singleLikelihood": {
            "numerator": "415736714219256183411499968459640705546483788966029104179512725727761092396765227701081910049020200145077790191227913838121748114701100204175367920671311329541652948542437575390172239925931816850937326095818845171245044196635435905872925664670658158007733179300591338574881890647504064992693862401259229090059754229394128410745775613034580721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.157367142192562e-159,
            "status": "finite",
            "log2": -526.1308969273334
          },
          "trueMass": {
            "numerator": "61062968238976218897458631645940582038859427910916998396155796942337115733991737027596318787596303940687759375505135225439877969240897714816406574798108371566254733059457623200812527566485128342741589469859158266066615859947080910648630155358272274843673937151677059043222937768211080904812499261080996484669917313436058119624414520212929849857077306763253386288059231788806256961878062072412322967041725022785127952380368370071562467818343669022699310416815845530007",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.106296823897622e-31,
            "status": "finite",
            "log2": -100.369473221607
          },
          "falseMass": {
            "numerator": "18359867600835736783359077495290633743359874829592198610626372436390976452610693867324320560784089833301991107822301436834720875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 4.487058173026507e-23,
            "status": "finite",
            "log2": -74.23857629427363
          },
          "noiseInformation": 1.0522617938546668,
          "jointInformation": 2.052261793854667,
          "informationDensity": -26.130896927333392,
          "difference": 0.5832662002653854,
          "margin": -0.5632662002653854,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "415736714219256183411499968459640705546483788966029104179512725727761092396765227701081910049020200145077790191227913838121748114701100204175367920671311329541652948542437575390172239925931816850937326095818845171245044196635435905872925664670658158007733179300591338574881890647504064992693862401259229090059754229394128410745775613034580721",
            "value": 73482477.22688393,
            "status": "finite",
            "log2": 26.130896927333424
          }
        },
        {
          "k": 143,
          "count": "367710914746808042989792992632953671615263507076587809935901612991774521400538652000117860741857575402635682047573925280382102000",
          "singleLikelihood": {
            "numerator": "46192968246584020379055552051071189505164865440669900464390302858640121377418358633453545561002244460564198910136434870902416457189011133797263102296812369949072549838048619487796915547325757427881925121757649463471671577403937322874769518296739795334192575477843482063875765627500451665854873600139914343339972692154903156749530623670508969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.619296824658402e-160,
            "status": "finite",
            "log2": -529.3008219287756
          },
          "trueMass": {
            "numerator": "8492829304410833863749102614314968286678972491106559994492531198662271729902502663511842317777574518557194194417575140134994682590614367484177759820405127047676454714563259170897779669309120414413942902179323488442831576480596334892078319976014558816641518842385542788451364304980406745890782725511653745731091840796468067919790364505139427447099330155883726608828750963633504270533157040374363489588553829897853848854767628782291905003483696002380090570792569036419",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6985658608821668e-31,
            "status": "finite",
            "log2": -102.21545378256337
          },
          "falseMass": {
            "numerator": "22981932171675502686862062039559604475953969192286738120993850811985907587533665750007366296366098462664730127973370330023881375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.123333444715727e-22,
            "status": "finite",
            "log2": -72.9146318537878
          },
          "noiseInformation": 1.0586016438575512,
          "jointInformation": 2.058601643857551,
          "informationDensity": -29.30082192877559,
          "difference": 0.5896060502682701,
          "margin": -0.56960605026827,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "46192968246584020379055552051071189505164865440669900464390302858640121377418358633453545561002244460564198910136434870902416457189011133797263102296812369949072549838048619487796915547325757427881925121757649463471671577403937322874769518296739795334192575477843482063875765627500451665854873600139914343339972692154903156749530623670508969",
            "value": 661342295.0419554,
            "status": "finite",
            "log2": 29.300821928775576
          }
        },
        {
          "k": 144,
          "count": "911616642809794939912195127569197644212840777960707278799422748875441000972168741416958863089188572352367628409610356424280627875",
          "singleLikelihood": {
            "numerator": "5132552027398224486561728005674576611684985048963322273821144762071124597490928737050393951222471606729355434459603874544712939687667903755251455810756929994341394426449846609755212838591750825320213902417516607052407953044881924763863279810748866148243619497538164673763973958611161296206097066682212704815552521350544795194392291518945441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.132552027398224e-161,
            "status": "finite",
            "log2": -532.470746930218
          },
          "trueMass": {
            "numerator": "37431358786107008510597896707536341707955471349691875531281896764474456883644363591033675400575235841048374412433016358372754341788263323356190867356600374765685115223445475605067991875843901085750340939234796115729516948192257920450271113968360462932605212675699244141693050084913644546703820160588399842296293668695544447498335310226355254303882232909265313572245235728606926229386877326094416861519922435475726222730272141670101359089428141640119658441641322790143",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.678919848263376e-32,
            "status": "finite",
            "log2": -104.07552352141897
          },
          "falseMass": {
            "numerator": "911616642809794939912195127569197644212840777960707278799422748875441000972168741416958863089188572352367628409610356424280627875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.784930831691073e-22,
            "status": "finite",
            "log2": -71.60477659120102
          },
          "noiseInformation": 1.064941493860436,
          "jointInformation": 2.0649414938604362,
          "informationDensity": -32.470746930218006,
          "difference": 0.5959459002711547,
          "margin": -0.5759459002711547,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5132552027398224486561728005674576611684985048963322273821144762071124597490928737050393951222471606729355434459603874544712939687667903755251455810756929994341394426449846609755212838591750825320213902417516607052407953044881924763863279810748866148243619497538164673763973958611161296206097066682212704815552521350544795194392291518945441",
            "value": 5952080655.377599,
            "status": "finite",
            "log2": 32.470746930217956
          }
        },
        {
          "k": 145,
          "count": "2238176033381289645577527347687133526481181496234564077604099990342462043766152220306464519032766425913399142853939909565820024300",
          "singleLikelihood": {
            "numerator": "570283558599802720729080889519397401298331672107035808202349418007902733054547637450043772358052400747706159384400430504968104409740878195027939534528547777149043825161094067750579204287972313924468211379724067450267550338320213862651475534527651794249291055282018297084885995401240144022899674075801411646172502372282755021599143502105049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.702835585998028e-162,
            "status": "finite",
            "log2": -535.6406719316603
          },
          "trueMass": {
            "numerator": "12763949930894727040012309605251855984705122414262746828674669777924240086759955400773935289851325631621859473971411708410632706586802435933720257451101277218950096762017805857666863130077039067554713960122210169731521104939122432643962180625226364754796413517767175205404909799070169979527356299970757034346245733769745041484106676667224588632358309306224570528466766206306576377070621003917253259292234087192872160241357167082908126279536799256592527208069263326907",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.276394993089473e-32,
            "status": "finite",
            "log2": -105.94962418190971
          },
          "falseMass": {
            "numerator": "559544008345322411394381836921783381620295374058641019401024997585615510941538055076616129758191606478349785713484977391455006075",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.837485352289806e-22,
            "status": "finite",
            "log2": -70.30895225024955
          },
          "noiseInformation": 1.0712813438633206,
          "jointInformation": 2.071281343863321,
          "informationDensity": -35.640671931660314,
          "difference": 0.6022857502740393,
          "margin": -0.5822857502740393,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "570283558599802720729080889519397401298331672107035808202349418007902733054547637450043772358052400747706159384400430504968104409740878195027939534528547777149043825161094067750579204287972313924468211379724067450267550338320213862651475534527651794249291055282018297084885995401240144022899674075801411646172502372282755021599143502105049",
            "value": 53568725898.398384,
            "status": "finite",
            "log2": 35.640671931660336
          }
        },
        {
          "k": 146,
          "count": "5442140355139437151917960331705016451375475555912809914722297921723109763951945467183526741483781378077100655569511423944288415250",
          "singleLikelihood": {
            "numerator": "63364839844422524525453432168821933477592408011892867578038824223100303672727515272227085817561377860856239931600047833885344934415653132780882170503171975238782647240121563083397689365330257102718690153302674161140838926480023762516830614947516866027699006142446477453876221711248904891433297119533490182908055819142528335733238166900561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.336483984442253e-163,
            "status": "finite",
            "log2": -538.8105969331025
          },
          "trueMass": {
            "numerator": "1379361408057116620762365269365116856794617490734634740998328088634126402069949518196270023713004748622758025345464583405106426434799045587966724930027687492458838462866459993750909105381232532414588571032993793076009130061914296374005045394811372751279368888525828675165522976764051854713001974578270547090690178230824806613959777843794438040939786850444359981006301979676966396913263457044330260897638691310036413055002068284454302839949943298657639926595004103821",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.4484035201427915e-33,
            "status": "finite",
            "log2": -107.83769852784008
          },
          "falseMass": {
            "numerator": "2721070177569718575958980165852508225687737777956404957361148960861554881975972733591763370741890689038550327784755711972144207625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.6625392466184118e-21,
            "status": "finite",
            "log2": -69.02710159473753
          },
          "noiseInformation": 1.077621193866205,
          "jointInformation": 2.077621193866205,
          "informationDensity": -38.81059693310252,
          "difference": 0.6086256002769239,
          "margin": -0.5886256002769239,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "63364839844422524525453432168821933477592408011892867578038824223100303672727515272227085817561377860856239931600047833885344934415653132780882170503171975238782647240121563083397689365330257102718690153302674161140838926480023762516830614947516866027699006142446477453876221711248904891433297119533490182908055819142528335733238166900561",
            "value": 482118533085.5855,
            "status": "finite",
            "log2": 38.81059693310249
          }
        },
        {
          "k": 147,
          "count": "13105562487886807835231006513085549821679716644851256529331248056394427594823052349544003173369106175777507701167394857661755775500",
          "singleLikelihood": {
            "numerator": "7040537760491391613939270240980214830843600890210318619782091580344478185858612808025231757506819762317359992400005314876149437157294792531209130055907997248753627471124618120377521040592250789190965572589186017904537658497780418057425623883057429558633222904716275272652913523472100543492588568837054464767561757682503148414804240766729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.040537760491392e-164,
            "status": "finite",
            "log2": -541.9805219345449
          },
          "trueMass": {
            "numerator": "184540415136893153344624831955877311906762884247944330428347748819531650163553336901541794555708118296468760760504332020184306484474248729455865693586470662256397889589843854039237272602024307057734071861556992724454736221435246000150334871414673451985221688034067781938244570587480860381104572562625764803516373051289486599146546242140298966928452209016365621041659448528210923850073795840397926061135335118576300159285990994972344370877656813199094684056927986679",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.227020756844658e-34,
            "status": "finite",
            "log2": -109.73969032403579
          },
          "falseMass": {
            "numerator": "3276390621971701958807751628271387455419929161212814132332812014098606898705763087386000793342276543944376925291848714415438943875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.0036659408361754e-21,
            "status": "finite",
            "log2": -67.75916838949087
          },
          "noiseInformation": 1.0839610438690896,
          "jointInformation": 2.0839610438690896,
          "informationDensity": -41.980521934544825,
          "difference": 0.6149654502798085,
          "margin": -0.5949654502798085,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7040537760491391613939270240980214830843600890210318619782091580344478185858612808025231757506819762317359992400005314876149437157294792531209130055907997248753627471124618120377521040592250789190965572589186017904537658497780418057425623883057429558633222904716275272652913523472100543492588568837054464767561757682503148414804240766729",
            "value": 4339066797770.269,
            "status": "finite",
            "log2": 41.98052193454487
          }
        },
        {
          "k": 148,
          "count": "31258537555567859228625306075129723561168513348868199694958990296670492844409037022898872433779016757090947422378989086179728302375",
          "singleLikelihood": {
            "numerator": "782281973387932401548807804553357203427066765578924291086899064482719798428734756447247973056313306924151110266667257208461048573032754725689903339545333027639291941236068680041946782288027865465662841398798446433837517610864490895269513764784158839848135878301808363628101502608011171499176507648561607196395750853611460934978248974081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.822819733879324e-165,
            "status": "finite",
            "log2": -545.1504469359872
          },
          "trueMass": {
            "numerator": "195623923553523372764722419460734808117379273692265311234855121121005022545748732511244004438933831107067485130504592201576757324382612016510272041549622053382908273348993635062614886572115857031171553655043899194391957616116041555714919548376515701353703471099176958030631631884026257400990733076897582509433272333649215524020212683109686292269500389738069261945062418409785153510738888683665068767509829720292594463147011475150863552311750315493334605021308045939",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4452990444190422e-34,
            "status": "finite",
            "log2": -111.65554431783585
          },
          "falseMass": {
            "numerator": "31258537555567859228625306075129723561168513348868199694958990296670492844409037022898872433779016757090947422378989086179728302375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 9.54928430483223e-21,
            "status": "finite",
            "log2": -66.50509738184866
          },
          "noiseInformation": 1.0903008938719745,
          "jointInformation": 2.0903008938719747,
          "informationDensity": -45.15044693598724,
          "difference": 0.6213053002826932,
          "margin": -0.6013053002826931,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "782281973387932401548807804553357203427066765578924291086899064482719798428734756447247973056313306924151110266667257208461048573032754725689903339545333027639291941236068680041946782288027865465662841398798446433837517610864490895269513764784158839848135878301808363628101502608011171499176507648561607196395750853611460934978248974081",
            "value": 39051601179932.42,
            "status": "finite",
            "log2": 45.15044693598725
          }
        },
        {
          "k": 149,
          "count": "73845672614495882204537635828494380493498769790614807333057480432402775041825376054096665078457811399302103977700699049229962164000",
          "singleLikelihood": {
            "numerator": "86920219265325822394311978283706355936340751730991587898544340498079977603192750716360885895145922991572345585185250800940116508114750525076655926616148114182143549026229853337994086920891985051740315710977605159315279734540498988363279307198239871094237319811312040403122389178667907944352945294284623021821750094845717881664249886009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.692021926532583e-166,
            "status": "finite",
            "log2": -548.3203719374296
          },
          "trueMass": {
            "numerator": "1604670513861862118129714104450471953237264735730737079480541634847915919465500415826759171385736123920762368706599936030830969849521798793149136806149025046392237887277352711177303320129212846638991118721463751780992940922652093298183530971022873016324189546674829633360885869294771686361594380198265031770146156353572983418510320293964615372829607969514363819087014617828215278611579250947289900404629475707098090301727909192139820339619130104717882666095740869",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.418682055447448e-35,
            "status": "finite",
            "log2": -113.58520622110314
          },
          "falseMass": {
            "numerator": "2307677269202996318891801119640449390421836555956712729158046263512586720057043001690520783701806606228190749303146845288436317625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.255938305571104e-20,
            "status": "finite",
            "log2": -65.26483428367351
          },
          "noiseInformation": 1.0966407438748593,
          "jointInformation": 2.0966407438748593,
          "informationDensity": -48.32037193742966,
          "difference": 0.6276451502855779,
          "margin": -0.6076451502855779,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "86920219265325822394311978283706355936340751730991587898544340498079977603192750716360885895145922991572345585185250800940116508114750525076655926616148114182143549026229853337994086920891985051740315710977605159315279734540498988363279307198239871094237319811312040403122389178667907944352945294284623021821750094845717881664249886009",
            "value": 351464410619391.8,
            "status": "finite",
            "log2": 48.32037193742963
          }
        },
        {
          "k": 150,
          "count": "172798873917920364358618067838676850354787121310038649159354504211822493597871379966586196283591278674366923307819635775198111463760",
          "singleLikelihood": {
            "numerator": "9657802140591758043812442031522928437371194636776843099838260055342219733688083412928987321682880332396927287242805644548901834234972280564072880735127568242460394336247761481999342991210220561304479523441956128812808859393388776484808811910915541232693035534590226711458043242074211993816993921587180335757972232760635320184916654001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.657802140591758e-167,
            "status": "finite",
            "log2": -551.4902969388718
          },
          "trueMass": {
            "numerator": "20860716680204207535686283357856135392084441564499582033247041253022906953051505405747869228014569610969910793185799168400802608043783384310938778479937325603099092534605585245304943161679767006306884543379028773152908231994477212876385902623297349212214464106772785233691516300832031922700726942577445413011900032596448784440634163821539999846784903603686729648131190031766798621950530262314768705260183184192275173922462819497817664415048691361332474659244631297",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6688573344163366e-35,
            "status": "finite",
            "log2": -115.52862269273669
          },
          "falseMass": {
            "numerator": "10799929619870022772413629239917303147174195081877415572459656513238905849866961247911637267724454917147932706738727235949881966485",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.278895635036383e-20,
            "status": "finite",
            "log2": -64.03832575386485
          },
          "noiseInformation": 1.1029805938777435,
          "jointInformation": 2.1029805938777435,
          "informationDensity": -51.49029693887175,
          "difference": 0.6339850002884625,
          "margin": -0.6139850002884625,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9657802140591758043812442031522928437371194636776843099838260055342219733688083412928987321682880332396927287242805644548901834234972280564072880735127568242460394336247761481999342991210220561304479523441956128812808859393388776484808811910915541232693035534590226711458043242074211993816993921587180335757972232760635320184916654001",
            "value": 3163179695574526.5,
            "status": "finite",
            "log2": 51.49029693887178
          }
        },
        {
          "k": 151,
          "count": "400527191200477665731896183732032434597188691778235279508437592543959422246721741644405090723555943947208100382363394180922774916000",
          "singleLikelihood": {
            "numerator": "1073089126732417560423604670169214270819021626308538122204251117260246637076453712547665257964764481377436365249200627172100203803885808951563653415014174249162266037360862386888815887912246729033831058160217347645867651043709864053867645767879504581410337281621136301273115915786023554868554880176353370639774692528959480020546294889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0730891267324176e-167,
            "status": "finite",
            "log2": -554.6602219403142
          },
          "trueMass": {
            "numerator": "107450343459477154341283284403968320636196534916480554990970779081059859213657496571181077701325965619418230722811327578223412992131334577024703053244710286403012249994289254390827521804090043446760994704674909059654420621016438918421413773629934837737675679725834802528212372410466683928554149078765355328243782360688110000797968467071949962419053955280211263824075298176870927412548720997942149328050980345361240778114230858340488337678690831147407890077051081",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.2980137383790865e-36,
            "status": "finite",
            "log2": -117.48574132167164
          },
          "falseMass": {
            "numerator": "12516474725014927054121755741626013581162146618069852484638674766998731945210054426387659085111123248350253136948856068153836716125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.223585080968698e-19,
            "status": "finite",
            "log2": -62.825519381357594
          },
          "noiseInformation": 1.1093204438806283,
          "jointInformation": 2.1093204438806286,
          "informationDensity": -54.660221940314166,
          "difference": 0.6403248502913471,
          "margin": -0.6203248502913471,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1073089126732417560423604670169214270819021626308538122204251117260246637076453712547665257964764481377436365249200627172100203803885808951563653415014174249162266037360862386888815887912246729033831058160217347645867651043709864053867645767879504581410337281621136301273115915786023554868554880176353370639774692528959480020546294889",
            "value": 28468617260170740,
            "status": "finite",
            "log2": 54.66022194031416
          }
        },
        {
          "k": 152,
          "count": "919631511374780956187051106068942892594860877832921793081873156564748936605959788380903793832375160773523862062137003744355581879500",
          "singleLikelihood": {
            "numerator": "119232125192490840047067185574357141202113514034282013578250124140027404119605968060851695329418275708604040583244514130233355978209534327951517046112686027684696226373429154098757320879138525448203450906690816405096405671523318228207516196431056064601148586846792922363679546198447061652061653352928152293308299169884386668949588321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1923212519249084e-168,
            "status": "finite",
            "log2": -557.8301469417565
          },
          "trueMass": {
            "numerator": "219299238990394893947999217877104935099605793484512945566367262568946730207991031013697053320250070182321418258837153946198661603823600978839891026797683566986264767532204384692390673155715936625260743578547036618826858460437059546953645654952323148365197732305943544341205368252940775971142678529176076079281169847252341463616906403556201970083332341478325912716972392185543588695786570925624620558419837079129082055917348360004856314911480117371025459864858639",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0964961949519744e-36,
            "status": "finite",
            "log2": -119.456510610348
          },
          "falseMass": {
            "numerator": "229907877843695239046762776517235723148715219458230448270468289141187234151489947095225948458093790193380965515534250936088895469875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.8094157451189185e-19,
            "status": "finite",
            "log2": -61.62636366859152
          },
          "noiseInformation": 1.1156602938835132,
          "jointInformation": 2.115660293883513,
          "informationDensity": -57.83014694175659,
          "difference": 0.6466647002942316,
          "margin": -0.6266647002942316,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "119232125192490840047067185574357141202113514034282013578250124140027404119605968060851695329418275708604040583244514130233355978209534327951517046112686027684696226373429154098757320879138525448203450906690816405096405671523318228207516196431056064601148586846792922363679546198447061652061653352928152293308299169884386668949588321",
            "value": 256217555341536640,
            "status": "finite",
            "log2": 57.83014694175654
          }
        },
        {
          "k": 153,
          "count": "2091710888617148841523488790274458343941252192718018196029358552186487777378261479454604707540304287249583686258978283026377401922000",
          "singleLikelihood": {
            "numerator": "13248013910276760005229687286039682355790390448253557064250013793336378235511774228983521703268697300956004509249390458914817330912170480883501894012520669742744025152603239344306368986570947272022605656298979600566267296835924247578612910714561784955683176316310324707075505133160784628006850372547572477034255463320487407661065369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.324801391027676e-169,
            "status": "finite",
            "log2": -561.0000719431987
          },
          "trueMass": {
            "numerator": "13855507474338675216758120519468503524811695013182735122929522035946525437977646839645347595397063257706581981495157874596429600241578275351539955941465846280177948275455178989279585014195560266084012121520401006418254673970968903838029899768229567108040815330876607376677463353671639440442565745852083238124518356362348371339630252076535636454066749243728652437455772055295782292326384655431620906741122604127981219219178872418607479591357131598605094414119609",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.771101494867735e-37,
            "status": "finite",
            "log2": -121.44087995863424
          },
          "falseMass": {
            "numerator": "130731930538571802595218049392153646496328262044876137251834909511655486086141342465912794221269017953098980391186142689148587620125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 6.390043655564599e-19,
            "status": "finite",
            "log2": -60.44080801543544
          },
          "noiseInformation": 1.1220001438863973,
          "jointInformation": 2.1220001438863973,
          "informationDensity": -61.00007194319868,
          "difference": 0.6530045502971162,
          "margin": -0.6330045502971162,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "13248013910276760005229687286039682355790390448253557064250013793336378235511774228983521703268697300956004509249390458914817330912170480883501894012520669742744025152603239344306368986570947272022605656298979600566267296835924247578612910714561784955683176316310324707075505133160784628006850372547572477034255463320487407661065369",
            "value": 2305957998073830000,
            "status": "finite",
            "log2": 61.00007194319869
          }
        },
        {
          "k": 154,
          "count": "4713140768507471740315913053410630164594899421254235805338879335121501680196472294615245672184971348542893111245879637728265964071000",
          "singleLikelihood": {
            "numerator": "1472001545586306667247743031782186928421154494250395229361112643704042026167974914331502411474299700106222723249932273212757481212463386764833543779168963304749336128067026593811818776285660808002511739588775511174029699648436027508734767857173531661742575146256702745230611681462309403111872263616396941892695051480054156406785041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4720015455863067e-170,
            "status": "finite",
            "log2": -564.1699969446411
          },
          "trueMass": {
            "numerator": "6937750495808831602041944906573695127142363881059753373241766445127625291454896758090816184130997042459139895496132442258241084103647419259717697996664716679973662412096604775295838383731398863392716026215842928177683076288493808992491161933009610081515386608678474400731716859630676602934444897273698244775191731107842546688097687547702548123464880212949267526402818042117801522997482648535025187069508720970287854356500820677138232926696860988046129526261911",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.937750495808832e-38,
            "status": "finite",
            "log2": -123.43879964819325
          },
          "falseMass": {
            "numerator": "589142596063433967539489131676328770574362427656779475667359916890187710024559036826905709023121418567861638905734954716033245508875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.4398345120005946e-18,
            "status": "finite",
            "log2": -59.26880270355207
          },
          "noiseInformation": 1.1283399938892822,
          "jointInformation": 2.1283399938892824,
          "informationDensity": -64.1699969446411,
          "difference": 0.6593444003000009,
          "margin": -0.6393444003000008,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1472001545586306667247743031782186928421154494250395229361112643704042026167974914331502411474299700106222723249932273212757481212463386764833543779168963304749336128067026593811818776285660808002511739588775511174029699648436027508734767857173531661742575146256702745230611681462309403111872263616396941892695051480054156406785041",
            "value": 20753621982664466000,
            "status": "finite",
            "log2": 64.16999694464107
          }
        },
        {
          "k": 155,
          "count": "10520946489700549820318102686968245399676356127444939281595175806142190847406318799592741952103226365134458170910157126799871119797200",
          "singleLikelihood": {
            "numerator": "163555727287367407471971447975798547602350499361155025484568071522671336240886101592389156830477744456246969249992474801417497912495931862759282642129884811638815125340780732645757641809517867555834637732086167908225522183159558612081640873019281295749175016250744749470067964606923267012430251512932993543632783497783795156309449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.635557272873674e-171,
            "status": "finite",
            "log2": -567.3399219460835
          },
          "trueMass": {
            "numerator": "4301902637186121387646080533466843215038096600083646356884679551996699553482785444981043727077643327402979218354232661328586765411939080759609898757788516077546392821837679663534695485252802879451397392599787908870032875261324118120792010804339292272767605316492387352425043070667050366694118162108780632064903833267586955473264874357535988621359943644588613914221102226832902019636431893177632105243817235583726877432525598484390373821930311652085951283309357",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.720761054874449e-38,
            "status": "finite",
            "log2": -125.45022082727291
          },
          "falseMass": {
            "numerator": "657559155606284363769881417935515337479772257965308705099698487883886927962894924974546372006451647820903635681884820424991944987325",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.214082200981973e-18,
            "status": "finite",
            "log2": -58.11029888118958
          },
          "noiseInformation": 1.1346798438921668,
          "jointInformation": 2.134679843892167,
          "informationDensity": -67.33992194608341,
          "difference": 0.6656842503028855,
          "margin": -0.6456842503028855,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "163555727287367407471971447975798547602350499361155025484568071522671336240886101592389156830477744456246969249992474801417497912495931862759282642129884811638815125340780732645757641809517867555834637732086167908225522183159558612081640873019281295749175016250744749470067964606923267012430251512932993543632783497783795156309449",
            "value": 186782597843980220000,
            "status": "finite",
            "log2": 67.33992194608345
          }
        },
        {
          "k": 156,
          "count": "23267477813760831333395804019256696556976556820310923411220100340506768220225512729868563932535981384431974801051309030422791899551500",
          "singleLikelihood": {
            "numerator": "18172858587485267496885716441755394178038944373461669498285341280296815137876233510265461870053082717360774361110274977935277545832881318084364738014431645737646125037864525849528626867724207506203848636898463100913946909239950956897960097002142366194352779583416083274451996067435918556936694612548110393736975944198199461812161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8172858587485266e-172,
            "status": "finite",
            "log2": -570.5098469475258
          },
          "trueMass": {
            "numerator": "845673167993852922357776515125960632016036083777127061609808800819864014787214232774051330963981166925371983095276506073140988072432468867273740781445605724645872093181766087703401676588157831003266154100813007726587659239405595869899284175211997626270554891276281274408341800216599644734741177166683372115322975770551281845171727437806219985395544477141351453222951719804758516680666098658850755731690567678852292144855459531119475195764078358957067346291583",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.228365839969265e-39,
            "status": "finite",
            "log2": -127.475095495912
          },
          "falseMass": {
            "numerator": "5816869453440207833348951004814174139244139205077730852805025085126692055056378182467140983133995346107993700262827257605697974887875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.108066406017824e-18,
            "status": "finite",
            "log2": -56.965248548386285
          },
          "noiseInformation": 1.1410196938950516,
          "jointInformation": 2.1410196938950516,
          "informationDensity": -70.50984694752583,
          "difference": 0.6720241003057702,
          "margin": -0.6520241003057702,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "18172858587485267496885716441755394178038944373461669498285341280296815137876233510265461870053082717360774361110274977935277545832881318084364738014431645737646125037864525849528626867724207506203848636898463100913946909239950956897960097002142366194352779583416083274451996067435918556936694612548110393736975944198199461812161",
            "value": 1.681043380595822e+21,
            "status": "finite",
            "log2": 70.50984694752583
          }
        },
        {
          "k": 157,
          "count": "50980970496393159099924564220536965704458188192273615627131939599581708711831696682005006323518328638500632685106052907423187346788000",
          "singleLikelihood": {
            "numerator": "2019206509720585277431746271306154908670993819273518833142815697810757237541803723362829096672564746373419373456697219770586393981431257564929415334936849526405125004207169538836514096413800834022649848544273677879327434359994550766440010778015818466039197731490675919383555118603990950770743845838678932637441771577577717979129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0192065097205853e-173,
            "status": "finite",
            "log2": -573.679771948968
          },
          "trueMass": {
            "numerator": "25735276874547541161630849363351951292773921870075345823936148927993030881705740983215999456087183423772820433897303440300822708502898911035223534042576819645981953295694226306614488388740825713475190818354535974694458136797197892714557126351108208018141443966652579475979262143888028820660913388653492569680741654730152242988240820824959277687196328745278211244576733157540421951357850136115061922478906164324592046871043708307245175808814840364581667296913",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0294110749819017e-39,
            "status": "finite",
            "log2": -129.5133764915438
          },
          "falseMass": {
            "numerator": "1593155328012286221872642631891780178264318381008550488347873112486928397244740521312656447609947769953144771409564153356974604587125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.5574362061593193e-17,
            "status": "finite",
            "log2": -55.83360454257581
          },
          "noiseInformation": 1.147359543897936,
          "jointInformation": 2.1473595438979363,
          "informationDensity": -73.67977194896802,
          "difference": 0.6783639503086548,
          "margin": -0.6583639503086548,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2019206509720585277431746271306154908670993819273518833142815697810757237541803723362829096672564746373419373456697219770586393981431257564929415334936849526405125004207169538836514096413800834022649848544273677879327434359994550766440010778015818466039197731490675919383555118603990950770743845838678932637441771577577717979129",
            "value": 1.5129390425362395e+22,
            "status": "finite",
            "log2": 73.67977194896798
          }
        },
        {
          "k": 158,
          "count": "110673878989005402349836237516735311624235180695885127595609210649724848659229569379289349170675865335479221588553013590165526961698000",
          "singleLikelihood": {
            "numerator": "224356278857842808603527363478461656518999313252613203682535077534528581949089302595869899630284971819268819272966357752287377109047917507214379481659649947378347222689685504315168232934866759335849983171585964208814159373332727862937778975335090940671021970165630657709283902067110105641193760648742103626382419064175301997681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.243562788578428e-174,
            "status": "finite",
            "log2": -576.8496969504104
          },
          "trueMass": {
            "numerator": "12415189828368223092038511014950378753054086077968837718157663969481870031540181655756804238309288205842584259953270154744278746858641809402365221064140434794053178594125344055089689897803239408891688397602821152349084586387396451759624605257988910478512679719496251420901388066601397869882831634751262941491553287724953894999953026080113969404653081237173595579310575911443550955437050065664509478776743761411160438926537260125717433618035851258862885911169",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4830379656736445e-40,
            "status": "finite",
            "log2": -131.56501747499055
          },
          "falseMass": {
            "numerator": "6917117436812837646864764844795956976514698793492820474725575665607803041201848086205584323167241583467451349284563349385345435106125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.3810165741306745e-17,
            "status": "finite",
            "log2": -54.715320524580136
          },
          "noiseInformation": 1.1536993939008207,
          "jointInformation": 2.153699393900821,
          "informationDensity": -76.84969695041033,
          "difference": 0.6847038003115394,
          "margin": -0.6647038003115394,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "224356278857842808603527363478461656518999313252613203682535077534528581949089302595869899630284971819268819272966357752287377109047917507214379481659649947378347222689685504315168232934866759335849983171585964208814159373332727862937778975335090940671021970165630657709283902067110105641193760648742103626382419064175301997681",
            "value": 1.3616451382826156e+23,
            "status": "finite",
            "log2": 76.84969695041036
          }
        },
        {
          "k": 159,
          "count": "238053249146162563544930775035996708021939822628884991432065094605068542399097564325263883121831106570653420020661199042997548559124000",
          "singleLikelihood": {
            "numerator": "24928475428649200955947484830940184057666590361401467075837230837169842438787700288429988847809441313252091030329595305809708567671990834134931053517738883042038580298853944923907581437207417703983331463509551578757128819259191984770864330592787882296780218907292295301031544674123345071243751183193567069598046562686144666409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4928475428649202e-175,
            "status": "finite",
            "log2": -580.0196219518527
          },
          "trueMass": {
            "numerator": "1483576143012554960683847228201617586842941103656653563805003870567015915718638059492951449860858339062950320371774421007177963461095562129842384907035649440798807504958374446834617031812965715527937607260714477324733378247550519392659544024539555340199628394153640106900165869593877732879080509813043999297732782809900150974837154059887832821939676374253448528345288945392625585869836171368714969162000826835295901506944704040180070683916233798228898316429",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.93430457205022e-41,
            "status": "finite",
            "log2": -133.62997291683132
          },
          "falseMass": {
            "numerator": "7439164035817580110779086719874897125685619457152655982252034206408391949971798885164496347557222080332919375645662470093673392472625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 7.272375272658431e-17,
            "status": "finite",
            "log2": -53.61035096497858
          },
          "noiseInformation": 1.1600392439037055,
          "jointInformation": 2.1600392439037055,
          "informationDensity": -80.01962195185274,
          "difference": 0.691043650314424,
          "margin": -0.671043650314424,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "24928475428649200955947484830940184057666590361401467075837230837169842438787700288429988847809441313252091030329595305809708567671990834134931053517738883042038580298853944923907581437207417703983331463509551578757128819259191984770864330592787882296780218907292295301031544674123345071243751183193567069598046562686144666409",
            "value": 1.225480624454354e+24,
            "status": "finite",
            "log2": 80.01962195185274
          }
        },
        {
          "k": 160,
          "count": "507350987242758963555133714295467983971759246977811137989588732877052330988076683968218650903402545878705101419034180460388525366633025",
          "singleLikelihood": {
            "numerator": "2769830603183244550660831647882242673074065595711274119537470093018871382087522254269998760867715701472454558925510589534412063074665648237214561501970987004670953366539327213767509048578601967109259051501061286528569868806576887196762703399198653588531135434143588366781282741569260563471527909243729674399782951409571629601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.7698306031832444e-176,
            "status": "finite",
            "log2": -583.1895469532949
          },
          "trueMass": {
            "numerator": "56211051640809026843687989424083510790382546260768762806389591095928047473339508698566271600283632624496228805197230840383076171137065187364028139255461828812488151021200631818956045316469034332780747119544848529748231331379414123655211612485332041223119253600710141828106284614612478545751828205138667084502986548686216831379941059380194554697936627068936216462860392264320591642401570492970200498249142438981766934874238230855711567023937302799561591766921",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4052762910202258e-41,
            "status": "finite",
            "log2": -135.7081980841367
          },
          "falseMass": {
            "numerator": "507350987242758963555133714295467983971759246977811137989588732877052330988076683968218650903402545878705101419034180460388525366633025",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.5499249799853283e-16,
            "status": "finite",
            "log2": -52.51865113084176
          },
          "noiseInformation": 1.16637909390659,
          "jointInformation": 2.16637909390659,
          "informationDensity": -83.18954695329495,
          "difference": 0.6973835003173087,
          "margin": -0.6773835003173087,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2769830603183244550660831647882242673074065595711274119537470093018871382087522254269998760867715701472454558925510589534412063074665648237214561501970987004670953366539327213767509048578601967109259051501061286528569868806576887196762703399198653588531135434143588366781282741569260563471527909243729674399782951409571629601",
            "value": 1.1029325620089188e+25,
            "status": "finite",
            "log2": 83.1895469532949
          }
        },
        {
          "k": 161,
          "count": "1071424445108931972725127098512168413356510211009042154760622168808681941217056351237231933584825252166209530947028704077839121892268500",
          "singleLikelihood": {
            "numerator": "307758955909249394517870183098026963674896177301252679948607788113207931343058028252222084540857300163606062102834509948268007008296183137468284611330109667185661485171036357085278783175400218567695450166784587392063318756286320799640300377688739287614570603793732040753475860174362284830169767693747741599975883489952403289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.077589559092494e-177,
            "status": "finite",
            "log2": -586.3594719547373
          },
          "trueMass": {
            "numerator": "659480937124743586157830103664195778769153406786106948039077328247603041440146064786491799313196518023765279288028243123887022021621882805513097562003347888069219163119676149704798323243598056354225466550905745345562410375051787510102551699275807246924104424576999593566464346755287878038496259135512312240545735905911446606942027611775919551321547729587243395354469750513078024790080537184605526894572409567073870181409282211557692642792915215729846142193",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.297404685623718e-42,
            "status": "finite",
            "log2": -137.79964902755592
          },
          "falseMass": {
            "numerator": "267856111277232993181281774628042103339127552752260538690155542202170485304264087809307983396206313041552382736757176019459780473067125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 3.273133498105662e-16,
            "status": "finite",
            "log2": -51.4401770728187
          },
          "noiseInformation": 1.1727189439094745,
          "jointInformation": 2.1727189439094747,
          "informationDensity": -86.35947195473726,
          "difference": 0.7037233503201933,
          "margin": -0.6837233503201933,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "307758955909249394517870183098026963674896177301252679948607788113207931343058028252222084540857300163606062102834509948268007008296183137468284611330109667185661485171036357085278783175400218567695450166784587392063318756286320799640300377688739287614570603793732040753475860174362284830169767693747741599975883489952403289",
            "value": 9.926393058080268e+25,
            "status": "finite",
            "log2": 86.35947195473727
          }
        },
        {
          "k": 162,
          "count": "2242054857357579868850728928368056124246030626741143768295376019914464062176432734996429786946023212866327351796560065940663347663450750",
          "singleLikelihood": {
            "numerator": "34195439545472154946430020344225218186099575255694742216511976457023103482562003139135787171206366684845118011426056660918667445366242570829809401258901074131740165019004039676142087019488913174188383351864954154673702084031813422182255597520971031957174511532636893417052873352706920536685529743749749066663987054439155921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.4195439545472157e-178,
            "status": "finite",
            "log2": -589.5293969561795
          },
          "trueMass": {
            "numerator": "306672205329613272575451858905572522637507551303827510816525671160407998694388910785487956059223072167429944689494615115223183080013468135897037137886330499390213026471289732167251895170891277234680978272643412444644248446011736578771968485671465921409151440235394872728438153017891070857407725441616836556303161141432071878948350288603616910696851413347154336111337785218015707001148562559096397280192108152589906709873452221835470241298763042705648617563",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.666805133240332e-43,
            "status": "finite",
            "log2": -139.90428256874657
          },
          "falseMass": {
            "numerator": "1121027428678789934425364464184028062123015313370571884147688009957232031088216367498214893473011606433163675898280032970331673831725375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.84933491270259e-16,
            "status": "finite",
            "log2": -50.37488561256697
          },
          "noiseInformation": 1.1790587939123591,
          "jointInformation": 2.1790587939123593,
          "informationDensity": -89.52939695617957,
          "difference": 0.7100632003230779,
          "margin": -0.6900632003230779,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "34195439545472154946430020344225218186099575255694742216511976457023103482562003139135787171206366684845118011426056660918667445366242570829809401258901074131740165019004039676142087019488913174188383351864954154673702084031813422182255597520971031957174511532636893417052873352706920536685529743749749066663987054439155921",
            "value": 8.933753752272242e+26,
            "status": "finite",
            "log2": 89.52939695617965
          }
        },
        {
          "k": 163,
          "count": "4649168968017558255653658759438055030645143262812923887630902421663121797641928002630633545937152429133856717222314737962847923375744500",
          "singleLikelihood": {
            "numerator": "3799493282830239438492224482691690909566619472854971357390219606335900386951333682126198574578485187205013112380672962324296382818471396758867711250989008236860018335444893297349120779943212574909820372429439350519300231559090380242472844168996781328574945725848543713005874816967435615187281082638861007407109672715461769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.799493282830239e-179,
            "status": "finite",
            "log2": -592.6993219576219
          },
          "trueMass": {
            "numerator": "35328972529451017767724174611480406493346132358791308335373441326590969174745552776242307139746897884318787084202174474759862263478034161531424182892153956644134970329685047536650013826776159408766929330658988891032636664877971016913744154109391779630638441308644671773078423899129918864963807498045838703486867234425371607049946284099530509821246004673257725155293855284147685400950311569520989189060985874429239423291488360934011227525215374381223324041",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.766448626472551e-43,
            "status": "finite",
            "log2": -142.02205628813772
          },
          "falseMass": {
            "numerator": "1162292242004389563913414689859513757661285815703230971907725605415780449410482000657658386484288107283464179305578684490711980843936125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.4202915340450767e-15,
            "status": "finite",
            "log2": -49.32273433051586
          },
          "noiseInformation": 1.1853986439152437,
          "jointInformation": 2.185398643915244,
          "informationDensity": -92.69932195762188,
          "difference": 0.7164030503259625,
          "margin": -0.6964030503259625,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3799493282830239438492224482691690909566619472854971357390219606335900386951333682126198574578485187205013112380672962324296382818471396758867711250989008236860018335444893297349120779943212574909820372429439350519300231559090380242472844168996781328574945725848543713005874816967435615187281082638861007407109672715461769",
            "value": 8.040378377045018e+27,
            "status": "finite",
            "log2": 92.6993219576218
          }
        },
        {
          "k": 164,
          "count": "9553475257450714220459042694698930154435446826633874086168378756710195401252010590771484786468416881817742156731219918862681403522109125",
          "singleLikelihood": {
            "numerator": "422165920314471048721358275854632323285179941428330150821135511815100042994592631347355397175387243022779234708963662480477375868719044084318634583443223137428890926160543699705457864438134730545535596936604372279922247951010042249163649352110753480952771747316504857000652757440826179465253453626540111934123296968384641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.22165920314471e-180,
            "status": "finite",
            "log2": -595.8692469590642
          },
          "trueMass": {
            "numerator": "32265213394105672053449991447341184250020722506538403547481977580111535533575206736026172103237681807629894979339113273696676376130345562157425337763295076935158495937950842872225080378383646939713970689517829962813004216975274343360248726110745338036653535829304212432323655430912690128706783541575738870122152460708266210232606768947267701381463153319479277445349672712080677452900420051296946766161388183421825706366481240202606459826551710478244607593",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.033151674263209e-44,
            "status": "finite",
            "log2": -144.15292851301638
          },
          "falseMass": {
            "numerator": "9553475257450714220459042694698930154435446826633874086168378756710195401252010590771484786468416881817742156731219918862681403522109125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.9185258961779934e-15,
            "status": "finite",
            "log2": -48.28368155395208
          },
          "noiseInformation": 1.1917384939181284,
          "jointInformation": 2.1917384939181286,
          "informationDensity": -95.86924695906418,
          "difference": 0.7227429003288472,
          "margin": -0.7027429003288472,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "422165920314471048721358275854632323285179941428330150821135511815100042994592631347355397175387243022779234708963662480477375868719044084318634583443223137428890926160543699705457864438134730545535596936604372279922247951010042249163649352110753480952771747316504857000652757440826179465253453626540111934123296968384641",
            "value": 7.236340539340516e+28,
            "status": "finite",
            "log2": 95.86924695906418
          }
        },
        {
          "k": 165,
          "count": "19454349615172363503480232396477821405395818992418070866379244013664397908004094293934659928808412559337947664616302380229460312626840400",
          "singleLikelihood": {
            "numerator": "46907324479385672080150919539403591476131104603147794535681723535011115888288070149706155241709693669197692745440406942275263985413227120479848287049247015269876769573393744411717540493126081171726177437400485808880249772334449138795961039123417053439196860812944984111183639715647353273917050402948901326013699663153849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.690732447938567e-181,
            "status": "finite",
            "log2": -599.0391719605066
          },
          "trueMass": {
            "numerator": "2281378724835754589637878183145336260102475328745139644771452960209906552879055021739224290127916895488982473286603968847239743766792110455575528932758237763092014864299554546520965279279651803818159543703280906461525550695221418217391324068436539053096714654597267545719854424407967988898459442333638101927828961868261247188164114976069433431012546194306615576943916252369340830003060003627056842051815326100533130753185542236547931502887494680279921749",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.125514899343019e-45,
            "status": "finite",
            "log2": -146.29685830592575
          },
          "falseMass": {
            "numerator": "1215896850948272718967514524779863837837238687026129429148702750854024869250255893370916245550525784958621729038518898764341269539177525",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.943180006762459e-15,
            "status": "finite",
            "log2": -47.25768634541913
          },
          "noiseInformation": 1.1980783439210132,
          "jointInformation": 2.198078343921013,
          "informationDensity": -99.0391719605066,
          "difference": 0.7290827503317319,
          "margin": -0.7090827503317318,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "46907324479385672080150919539403591476131104603147794535681723535011115888288070149706155241709693669197692745440406942275263985413227120479848287049247015269876769573393744411717540493126081171726177437400485808880249772334449138795961039123417053439196860812944984111183639715647353273917050402948901326013699663153849",
            "value": 6.512706485406464e+29,
            "status": "finite",
            "log2": 99.03917196050656
          }
        },
        {
          "k": 166,
          "count": "39260283861944227552204083450723314281973490135301528555644859907093815055309467400410307687655531369748267877388321068535356654999949000",
          "singleLikelihood": {
            "numerator": "5211924942153963564461213282155954608459011622571977170631302615001235098698674461078461693523299296577521416160045215808362665045914124497760920783249668363319641063710416045746393388125120130191797493044498423208916641370494348755106782124824117048799651201438331567909293301738594808213005600327655702890411073683761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.211924942153964e-182,
            "status": "finite",
            "log2": -602.2090969619488
          },
          "trueMass": {
            "numerator": "204621652696111857437400051232580360678535270449697933332914790273177696175229834613826007280549440425383970160913608986298611556057659170714271002001073534306780449676131398416204382478897819084091953719035904595612064118580769773179676991412648081067576816409661212266707157209282269419272801387354421458051593634770419761187410580182934457667791961202869134745973746865790944591974592025452220103710343840342328996604325742769359318197405814697128189",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0462165269611184e-45,
            "status": "finite",
            "log2": -148.4538054533698
          },
          "falseMass": {
            "numerator": "4907535482743028444025510431340414285246686266912691069455607488386726881913683425051288460956941421218533484673540133566919581874993625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.1993766881117011e-14,
            "status": "finite",
            "log2": -46.24470849142091
          },
          "noiseInformation": 1.2044181939238976,
          "jointInformation": 2.204418193923898,
          "informationDensity": -102.2090969619488,
          "difference": 0.7354226003346165,
          "margin": -0.7154226003346165,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5211924942153963564461213282155954608459011622571977170631302615001235098698674461078461693523299296577521416160045215808362665045914124497760920783249668363319641063710416045746393388125120130191797493044498423208916641370494348755106782124824117048799651201438331567909293301738594808213005600327655702890411073683761",
            "value": 5.861435836865818e+30,
            "status": "finite",
            "log2": 102.20909696194894
          }
        },
        {
          "k": 167,
          "count": "78520567723888455104408166901446628563946980270603057111289719814187630110618934800820615375311062739496535754776642137070713309999898000",
          "singleLikelihood": {
            "numerator": "579102771350440396051245920239550512051001291396886352292366957222359455410963829008717965947033255175280157351116135089818073893990458277528991198138852040368849007078935116194043709791680014465755277004944269245435182374499372083900753569424901894311072355715370174212143700193177200912556177814183966987823452631529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.791027713504404e-183,
            "status": "finite",
            "log2": -605.3790219633912
          },
          "trueMass": {
            "numerator": "22735739188456873048600005692508928964281696716633103703657198919241966241692203845980667475616604491709330017879289887366512395117517685634919000222341503811864494408459044268467153608766424342676883746559544955068007124286752197019964110156960897896397424045517912474078573023253585491030311265261602384227954848307824417909712286686992717518643551244763237193997082985087882732441621336161357789301149315593592110733813971418817702021933979410792021",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.5471478376913744e-46,
            "status": "finite",
            "log2": -150.62373045481218
          },
          "falseMass": {
            "numerator": "4907535482743028444025510431340414285246686266912691069455607488386726881913683425051288460956941421218533484673540133566919581874993625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.3987533762234022e-14,
            "status": "finite",
            "log2": -45.24470849142091
          },
          "noiseInformation": 1.2107580439267824,
          "jointInformation": 2.2107580439267824,
          "informationDensity": -105.37902196339121,
          "difference": 0.7417624503375011,
          "margin": -0.7217624503375011,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "579102771350440396051245920239550512051001291396886352292366957222359455410963829008717965947033255175280157351116135089818073893990458277528991198138852040368849007078935116194043709791680014465755277004944269245435182374499372083900753569424901894311072355715370174212143700193177200912556177814183966987823452631529",
            "value": 5.275292253179236e+31,
            "status": "finite",
            "log2": 105.3790219633911
          }
        },
        {
          "k": 168,
          "count": "155638982452707473510523330822510281617823478750659631059877837488836195397833960051626576904634427930073490513932272807408021025178369250",
          "singleLikelihood": {
            "numerator": "64344752372271155116805102248838945783444587932987372476929661913595495045662647667635329549670361686142239705679570565535341543776717586392110133126539115596538778564326124021560412199075557162861697444993807693937242486055485787100083729936100210479008039523930019356904855577019688990284019757131551887535939181281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.434475237227116e-184,
            "status": "finite",
            "log2": -608.5489469648335
          },
          "trueMass": {
            "numerator": "40058207141566871561819057648706208175162989453115468430253160000569178616314835347680223647514969818725962412453986944407664696159435922309143000391744554335189823481570697044442127786874176222811652315366817301786488742790944347130412955990835867722224032842102988644805104850494412531815310324508537534115920447018547783936159743210415740389991018859820941722756765259440555290492380449427154200197263079855376576054815092499821665467217011342824037",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0014551785391718e-46,
            "status": "finite",
            "log2": -152.80659451196198
          },
          "falseMass": {
            "numerator": "77819491226353736755261665411255140808911739375329815529938918744418097698916980025813288452317213965036745256966136403704010512589184625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.754671870728529e-14,
            "status": "finite",
            "log2": -44.25764754712844
          },
          "noiseInformation": 1.217097893929667,
          "jointInformation": 2.217097893929667,
          "informationDensity": -108.54894696483353,
          "difference": 0.7481023003403856,
          "margin": -0.7281023003403856,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "64344752372271155116805102248838945783444587932987372476929661913595495045662647667635329549670361686142239705679570565535341543776717586392110133126539115596538778564326124021560412199075557162861697444993807693937242486055485787100083729936100210479008039523930019356904855577019688990284019757131551887535939181281",
            "value": 4.7477630278613124e+32,
            "status": "finite",
            "log2": 108.54894696483348
          }
        },
        {
          "k": 169,
          "count": "305752320557981545594637549308126707083534881332656790011120958853808383858466714420946884806737456051978691423819612852422857871948039000",
          "singleLikelihood": {
            "numerator": "7149416930252350568533900249870993975938287548109708052992184657066166116184738629737258838852262409571359967297730062837260171530746398488012237014059901732948753173814013780173379133230617462540188604999311965993026942895053976344453747770677801164334226613770002150767206175224409887809335528570172431948437686809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.149416930252352e-185,
            "status": "finite",
            "log2": -611.7188719662757
          },
          "trueMass": {
            "numerator": "2185950817061177080625234572546098144995744986593414779560165864593847353815996932187678213506734053224362182928126835230661518593841670974134693643993950039329885173550537708539576992972095086451917910700490359006100306148355279955177038361104126903974092521955652897777004406700221065181243101205922824018160024393517071707232911693928012131735210102146704906633012173920819256483147651086425903100836841307032383834680902483553713500183439803717551",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1859508170611773e-47,
            "status": "finite",
            "log2": -155.00235951833952
          },
          "falseMass": {
            "numerator": "38219040069747693199329693663515838385441860166582098751390119856726047982308339302618360600842182006497336427977451606552857233993504875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.340538822969656e-14,
            "status": "finite",
            "log2": -43.28348755206372
          },
          "noiseInformation": 1.2234377439325514,
          "jointInformation": 2.2234377439325517,
          "informationDensity": -111.71887196627573,
          "difference": 0.7544421503432702,
          "margin": -0.7344421503432702,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7149416930252350568533900249870993975938287548109708052992184657066166116184738629737258838852262409571359967297730062837260171530746398488012237014059901732948753173814013780173379133230617462540188604999311965993026942895053976344453747770677801164334226613770002150767206175224409887809335528570172431948437686809",
            "value": 4.272986725075181e+33,
            "status": "finite",
            "log2": 111.71887196627586
          }
        },
        {
          "k": 170,
          "count": "595317753557011127010735463652882000262647327771231749962829631650650441512661661607843640417824105607087922713437010906776270327145887700",
          "singleLikelihood": {
            "numerator": "794379658916927840948211138874554886215365283123300894776909406340685124020526514415250982094695823285706663033081118093028907947860710943112470779339989081438750352646001531130375459247846384726687622777701329554780771432783775149383749752297533462703802957085555794529689575024934431978815058730019159105381965201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.94379658916928e-186,
            "status": "finite",
            "log2": -614.8887969677181
          },
          "trueMass": {
            "numerator": "4729083140178102050241520545835022784271840461192289490421012426016754732765326696432166592619143605341594003589607728505548775520010412368879631347464035706001254852583189421742483559959238389644345283933740580594896740752324167746167318284480169968728265521355039929177702343907014199836545532674251338235365804406889874085582312226733150428786631005297773360101483853384256038535437075226189372067823493285148490518165874000367837703011232516539277",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.729083140178103e-48,
            "status": "finite",
            "log2": -157.2109880491123
          },
          "falseMass": {
            "numerator": "148829438389252781752683865913220500065661831942807937490707407912662610378165415401960910104456026401771980678359252726694067581786471925",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.8186578531782093e-13,
            "status": "finite",
            "log2": -42.32219108139418
          },
          "noiseInformation": 1.2297775939354363,
          "jointInformation": 2.2297775939354363,
          "informationDensity": -114.88879696771815,
          "difference": 0.7607820003461548,
          "margin": -0.7407820003461548,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "794379658916927840948211138874554886215365283123300894776909406340685124020526514415250982094695823285706663033081118093028907947860710943112470779339989081438750352646001531130375459247846384726687622777701329554780771432783775149383749752297533462703802957085555794529689575024934431978815058730019159105381965201",
            "value": 3.845688052567663e+34,
            "status": "finite",
            "log2": 114.88879696771801
          }
        },
        {
          "k": 171,
          "count": "1148858822653881122301419315821351228577038702716412149051074727746869273094610224155487727122116695031222306990843354381498065543614871000",
          "singleLikelihood": {
            "numerator": "88264406546325315660912348763839431801707253680366766086323267371187236002280723823916775788299535920634073670342346454780989771984523438123607864371109897937638928071777947903375051027538487191854180308633481061642307936975975016598194416921948162522644773009506199392187730558326047997646117636668795456153551689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.826440654632532e-187,
            "status": "finite",
            "log2": -618.0587219691604
          },
          "trueMass": {
            "numerator": "101403342187054819790753851860010235140331861740965271724427167029599029357541118247083494188714580231496167718295682287643346063781899680424319580549911097009773495864356888185511343390938834865668222462516854554666401848490381764537700781928424697185206473167456996532075488855705957501368422727907923431947414909309529463823402406421178664165015479645761222146425579702196523243449917792374430980011809797537297067640983653029329853280942607567119",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0140334218705482e-48,
            "status": "finite",
            "log2": -159.4324433511947
          },
          "falseMass": {
            "numerator": "143607352831735140287677414477668903572129837839551518631384340968358659136826278019435965890264586878902788373855419297687258192951858875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.5096905938526845e-13,
            "status": "finite",
            "log2": -41.37372138203426
          },
          "noiseInformation": 1.2361174439383207,
          "jointInformation": 2.236117443938321,
          "informationDensity": -118.05872196916035,
          "difference": 0.7671218503490396,
          "margin": -0.7471218503490396,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "88264406546325315660912348763839431801707253680366766086323267371187236002280723823916775788299535920634073670342346454780989771984523438123607864371109897937638928071777947903375051027538487191854180308633481061642307936975975016598194416921948162522644773009506199392187730558326047997646117636668795456153551689",
            "value": 3.4611192473108966e+35,
            "status": "finite",
            "log2": 118.05872196916039
          }
        },
        {
          "k": 172,
          "count": "2197526468913528425797482295960607873266544960428486029289555729236744132837946300855555012925444143402744994185973625532051532347961003250",
          "singleLikelihood": {
            "numerator": "9807156282925035073434705418204381311300805964485196231813696374576359555808969313768530643144392880070452630038038494975665530220502604235956429374567766437515436452419771989263894558615387465761575589848164562404700881886219446288688268546883129169182752556611799932465303395369560888627346404074310606239283521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.807156282925036e-188,
            "status": "finite",
            "log2": -621.2286469706028
          },
          "trueMass": {
            "numerator": "86205942065997508297565936077373042276922952229399417047381235019995040461578883471034805137175960971995450075760412073991371718305542622376230341087650519163347493900189705976830056784544900958152054754956189014173762811765725065976494979985663373059258216206959565527268309647357261028295119063260224312947543940989238226351161218895523980646744425848722072574093063881195493920142178174912629954583683264573050995488071374280748118163902113409773",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.155148551649938e-49,
            "status": "finite",
            "log2": -161.66668933360393
          },
          "falseMass": {
            "numerator": "1098763234456764212898741147980303936633272480214243014644777864618372066418973150427777506462722071701372497092986812766025766173980501625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.713303519636821e-13,
            "status": "finite",
            "log2": -40.4380423630011
          },
          "noiseInformation": 1.2424572939412055,
          "jointInformation": 2.2424572939412055,
          "informationDensity": -121.22864697060277,
          "difference": 0.7734617003519242,
          "margin": -0.7534617003519242,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9807156282925035073434705418204381311300805964485196231813696374576359555808969313768530643144392880070452630038038494975665530220502604235956429374567766437515436452419771989263894558615387465761575589848164562404700881886219446288688268546883129169182752556611799932465303395369560888627346404074310606239283521",
            "value": 3.115007322579807e+36,
            "status": "finite",
            "log2": 121.22864697060277
          }
        },
        {
          "k": 173,
          "count": "4166408565338944067407943312572713193245241312257476402352452480865040899253447321853306614101420110035262185508666758234178627804226642000",
          "singleLikelihood": {
            "numerator": "1089684031436115008159411713133820145700089551609466247979299597175151061756552145974281182571599208896716958893115388330629503357833622692884047708285307381946159605824419109918210506512820829529063954427573840267188986876246605143187585394098125463242528061845755548051700377263284543180816267119367845137698169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.089684031436115e-188,
            "status": "finite",
            "log2": -624.398571972045
          },
          "trueMass": {
            "numerator": "2270034441044250379062429915974498865352499063201911431562383195773793615237465781832001933605789595280548139438777710362007861561032272008622635828255408661334134393004353208124619350138947295622501120714967083867131840258442342777801088104953242322048546476869198578431599676006196340501027541164848552877873668324058296262297758493716431089605986807834043015759676055959547367197064422075412863287046251668269165584464307222550207350494532209249",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.540068882088501e-50,
            "status": "finite",
            "log2": -163.9136905580649
          },
          "falseMass": {
            "numerator": "260400535333684004212996457035794574577827582016092275147028280054065056203340457615831663381338756877203886594291672389636164237764165125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.2728113031450159e-12,
            "status": "finite",
            "log2": -39.51511858601975
          },
          "noiseInformation": 1.2487971439440901,
          "jointInformation": 2.24879714394409,
          "informationDensity": -124.39857197204506,
          "difference": 0.7798015503548088,
          "margin": -0.7598015503548088,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1089684031436115008159411713133820145700089551609466247979299597175151061756552145974281182571599208896716958893115388330629503357833622692884047708285307381946159605824419109918210506512820829529063954427573840267188986876246605143187585394098125463242528061845755548051700377263284543180816267119367845137698169",
            "value": 2.8035065903218267e+37,
            "status": "finite",
            "log2": 124.39857197204492
          }
        },
        {
          "k": 174,
          "count": "7829974717619739712887341742593547207995367293725257376834781386453266517562513070379490016156117103342130658973184080129749490183805241000",
          "singleLikelihood": {
            "numerator": "121076003492901667573267968125980016188898839067718471997699955241683451306283571774920131396844356544079662099235043147847722595314846965876005300920589709105128845091602123324245611834757869947673772714174871140798776319582956127020842821566458384804725340205083949783522264140364949242312918568818649459744241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2107600349290167e-189,
            "status": "finite",
            "log2": -627.5684969734873
          },
          "trueMass": {
            "numerator": "948022046259859353708064600924216001239166275436813586361301794403614958087677280535203872655291440174635046738799886702907497740047960340765775116014710896879006317384959768910281644310901361007098169187476674871714063556207721696476316488275492004227170750876408601720476493044733337603877402248921426297656053054874920661266113700440961642785642000206554362903466245592301390898390888912720314552827744949583674516117277728957749429900015367081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.480220462598594e-51,
            "status": "finite",
            "log2": -166.17341222985783
          },
          "falseMass": {
            "numerator": "978746839702467464110917717824193400999420911715657172104347673306658314695314133797436252019514637917766332371648010016218686272975655125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.3920074490139088e-12,
            "status": "finite",
            "log2": -38.60491525637042
          },
          "noiseInformation": 1.2551369939469745,
          "jointInformation": 2.2551369939469748,
          "informationDensity": -127.56849697348727,
          "difference": 0.7861414003576934,
          "margin": -0.7661414003576934,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "121076003492901667573267968125980016188898839067718471997699955241683451306283571774920131396844356544079662099235043147847722595314846965876005300920589709105128845091602123324245611834757869947673772714174871140798776319582956127020842821566458384804725340205083949783522264140364949242312918568818649459744241",
            "value": 2.5231559312896437e+38,
            "status": "finite",
            "log2": 127.5684969734873
          }
        },
        {
          "k": 175,
          "count": "14586124331108772265150133760488550798894227072882479456275078468478656484145024348249792830096538146797340541858617200698847621713831477520",
          "singleLikelihood": {
            "numerator": "13452889276989074174807552013997779576544315451968719110855550582409272367364841308324459044093817393786629122137227016427524732812760773986222811213398856567236538343511347036027290203861985549741530301574985682310975146620328458557871424618495376089413926689453772198169140460040549915812546507646516606638249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3452889276989075e-190,
            "status": "finite",
            "log2": -630.7384219749297
          },
          "trueMass": {
            "numerator": "2452818945085032931022452856359479495269588934860327215506225277583956161401450741702194146711309599181992263784513992580538446533774881516584465776355521844306000471964260989402792190836141616573920659961249174668085593010505692643264120437919130106175060831632612731435518545496691016340190739151971309309808518221343048695021849732886932504350153111645529542115317429072144868514884363377355734477951149631462522954398670949525605667836547695781",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9622551560680263e-51,
            "status": "finite",
            "log2": -168.44582018890128
          },
          "falseMass": {
            "numerator": "911632770694298266571883360030534424930889192055154966017192404279916030259064021765612051881033634174833783866163575043677976357114467345",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.455968162163053e-12,
            "status": "finite",
            "log2": -37.70739821397166
          },
          "noiseInformation": 1.2614768439498594,
          "jointInformation": 2.2614768439498594,
          "informationDensity": -130.73842197492968,
          "difference": 0.792481250360578,
          "margin": -0.772481250360578,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "13452889276989074174807552013997779576544315451968719110855550582409272367364841308324459044093817393786629122137227016427524732812760773986222811213398856567236538343511347036027290203861985549741530301574985682310975146620328458557871424618495376089413926689453772198169140460040549915812546507646516606638249",
            "value": 2.2708403381606793e+39,
            "status": "finite",
            "log2": 130.73842197492968
          }
        },
        {
          "k": 176,
          "count": "26934604588695176057805644728174880736594453401629578541417048308270246348563255188529446987394175555165543614227560171745031119642018353375",
          "singleLikelihood": {
            "numerator": "1494765475221008241645283557110864397393812827996524345650616731378808040818315700924939893788201932642958791348580779603058303645862308220691423468155428507470726482612371892891921133762442838860170033508331742478997238513369828728652380513166152898823769632161530244241015606671172212868060723071835178515361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.494765475221008e-191,
            "status": "finite",
            "log2": -633.908346976372
          },
          "trueMass": {
            "numerator": "322087336223287152558503910431042762005097536900851048500817460692842728264836966082106302093404290801675751810087695995424240453930034946622202576693149333090686930661973665275114126069392333489504733126224639097829421304409838427903369350433825165457331220315393590996583243348050335479014945545208353747752633705832925586214990368964950732894464550014059434823223500787251346370641381049551763113266312577868816145527098205493261350321970909547",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.0260917027910896e-52,
            "status": "finite",
            "log2": -170.73088090106512
          },
          "falseMass": {
            "numerator": "26934604588695176057805644728174880736594453401629578541417048308270246348563255188529446987394175555165543614227560171745031119642018353375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.22835029944882e-12,
            "status": "finite",
            "log2": -36.82253392469312
          },
          "noiseInformation": 1.267816693952744,
          "jointInformation": 2.267816693952744,
          "informationDensity": -133.908346976372,
          "difference": 0.7988211003634627,
          "margin": -0.7788211003634626,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1494765475221008241645283557110864397393812827996524345650616731378808040818315700924939893788201932642958791348580779603058303645862308220691423468155428507470726482612371892891921133762442838860170033508331742478997238513369828728652380513166152898823769632161530244241015606671172212868060723071835178515361",
            "value": 2.0437563043446117e+40,
            "status": "finite",
            "log2": 133.90834697637206
          }
        },
        {
          "k": 177,
          "count": "49304021958967440919373044587167578297494931650440584448695613852426891621098840006121699570145270507760656107399601670312938320700643765500",
          "singleLikelihood": {
            "numerator": "166085052802334249071698173012318266377090314221836038405624081264312004535368411213882210420911325849217643483175642178117589293984700913410158163128380945274525164734707988099102348195826982095574448167592415830999693168152203192072486723685128099869307736906836693804557289630130245874228969230203908723929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6608505280233426e-192,
            "status": "finite",
            "log2": -637.0782719778143
          },
          "trueMass": {
            "numerator": "16377322180845109452127317479544547220598179842416155008516142069127596352449337258412184852206997837373343312377340474343605446810001776946891656442024542360543403253998660946192243698443677974042613548791083343957428201919144326842544204259347042311389723066884419881182198814307644176899065027722458665139964425720318250146524934015166986418362604238003022109655432243419559984947866833028055751522015893789939804009852451126776000863829029299",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.188661090422555e-53,
            "status": "finite",
            "log2": -173.02856144970588
          },
          "falseMass": {
            "numerator": "12326005489741860229843261146791894574373732912610146112173903463106722905274710001530424892536317626940164026849900417578234580175160941375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5062064954923265e-11,
            "status": "finite",
            "log2": -35.950289471891494
          },
          "noiseInformation": 1.2741565439556286,
          "jointInformation": 2.2741565439556286,
          "informationDensity": -137.0782719778143,
          "difference": 0.8051609503663473,
          "margin": -0.7851609503663473,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "166085052802334249071698173012318266377090314221836038405624081264312004535368411213882210420911325849217643483175642178117589293984700913410158163128380945274525164734707988099102348195826982095574448167592415830999693168152203192072486723685128099869307736906836693804557289630130245874228969230203908723929",
            "value": 1.83938067391015e+41,
            "status": "finite",
            "log2": 137.0782719778142
          }
        },
        {
          "k": 178,
          "count": "89467410633407210207626367425028807809499229905012970656902715024347674121432164730209600905375968393296022037584670446691455492057909754250",
          "singleLikelihood": {
            "numerator": "18453894755814916563522019223590918486343368246870670933958231251590222726152045690431356713434591761024182609241738019790843254887188990378906462569820105030502796081634220899900260910647442455063827574176935092333299240905800354674720747076125344429923081878537410422728587736681138430469885470022656524881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8453894755814916e-193,
            "status": "finite",
            "log2": -640.2481969792566
          },
          "trueMass": {
            "numerator": "6604088719616692076201152991127201937894147427091658012173175890547083173334751478735500258755131462511348177150912575796485092783558768981081154844911269890706016543123055537603114500121483128109568259999400649311172670686496401460851158521559419059399351498880983297904931606768251022644691640392452120899136715989591504116513799858800170553222373494225937754580155573813380618150013716689215989689901540192447636323573460317039510960070881977",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.651022179904173e-53,
            "status": "finite",
            "log2": -175.33882952742056
          },
          "falseMass": {
            "numerator": "44733705316703605103813183712514403904749614952506485328451357512173837060716082365104800452687984196648011018792335223345727746028954877125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.7331724609214687e-11,
            "status": "finite",
            "log2": -35.09063254816397
          },
          "noiseInformation": 1.2804963939585132,
          "jointInformation": 2.2804963939585132,
          "informationDensity": -140.24819697925662,
          "difference": 0.8115008003692319,
          "margin": -0.7915008003692319,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "18453894755814916563522019223590918486343368246870670933958231251590222726152045690431356713434591761024182609241738019790843254887188990378906462569820105030502796081634220899900260910647442455063827574176935092333299240905800354674720747076125344429923081878537410422728587736681138430469885470022656524881",
            "value": 1.6554426065191355e+42,
            "status": "finite",
            "log2": 140.2481969792566
          }
        },
        {
          "k": 179,
          "count": "160941375552833082049473130228264112372395262734157410902361308591284642832967357782835147997380233646040888805040580356618148985713111401500",
          "singleLikelihood": {
            "numerator": "2050432750646101840391335469287879831815929805207852325995359027954469191794671743381261857048287973447131401026859779976760361654132110042100718063313345003389199564626024544433362323405271383895980841575215010259255471211755594963857860786236149381102564653170823380303176415186793158941098385558072947209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0504327506461018e-194,
            "status": "finite",
            "log2": -643.4181219806989
          },
          "trueMass": {
            "numerator": "659998934735125651314950733439776233396001077443672836722458918918733948421412158954944470303895819655075764445249487711504717528338275484763541856009133738301470306295972651492303807895443068668926436908692429881501427672579714857353840175028594952553256108826715276823522028981805347390313689697817995943364997687352099418223911717732357206125885867517303524821480476340133010255836255981976272091914430770319099595341605903813383776891006827",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.2999946736756285e-54,
            "status": "finite",
            "log2": -177.66165342801241
          },
          "falseMass": {
            "numerator": "40235343888208270512368282557066028093098815683539352725590327147821160708241839445708786999345058411510222201260145089154537246428277850375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.91665660567996e-11,
            "status": "finite",
            "log2": -34.243531447313615
          },
          "noiseInformation": 1.2868362439613976,
          "jointInformation": 2.286836243961398,
          "informationDensity": -143.4181219806988,
          "difference": 0.8178406503721165,
          "margin": -0.7978406503721165,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2050432750646101840391335469287879831815929805207852325995359027954469191794671743381261857048287973447131401026859779976760361654132110042100718063313345003389199564626024544433362323405271383895980841575215010259255471211755594963857860786236149381102564653170823380303176415186793158941098385558072947209",
            "value": 1.4898983458672218e+43,
            "status": "finite",
            "log2": 143.41812198069897
          }
        },
        {
          "k": 180,
          "count": "287012119735885662988227082240404333730771551875914049442544333654457613052125121379389347261994750002106251702322368302635699024521715332675",
          "singleLikelihood": {
            "numerator": "227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.2782586118290017e-195,
            "status": "finite",
            "log2": -646.5880469821412
          },
          "trueMass": {
            "numerator": "2615551333950312766322212165853928036050819084684184945529744604603871573373744481784409567500624174188633585023766488338185362056747980624803665873813974444379900843469224952210241016474533642502782546267781111011876028183927018138402255508446654071229570505350316097041365077816784154472724622135797243182964990835062023620368835325828230409461843993494499153922163369199786373976832570002646707919809040460153468766724141915112298671382878907",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.538878334875782e-55,
            "status": "finite",
            "log2": -179.99700203866223
          },
          "falseMass": {
            "numerator": "287012119735885662988227082240404333730771551875914049442544333654457613052125121379389347261994750002106251702322368302635699024521715332675",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.768037613462596e-11,
            "status": "finite",
            "log2": -33.408955056520995
          },
          "noiseInformation": 1.2931760939642825,
          "jointInformation": 2.2931760939642825,
          "informationDensity": -146.58804698214124,
          "difference": 0.8241805003750012,
          "margin": -0.8041805003750012,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "227825861182900204487926163254208870201769978356428036221706558661607687977185749264584650783143108160792377891873308886306706850459123338011190895923705000376577729402891616048151369267252375988442315730579445584361719023528399440428651198470683264566951628130091486700352935020754795437899820617563660801",
            "value": 1.3409085112804996e+44,
            "status": "finite",
            "log2": 146.58804698214112
          }
        },
        {
          "k": 181,
          "count": "507424742074493989813440145397399927037828158012665722771349098173626719208177010173506028308499005528585638368746728490847644684237286776000",
          "singleLikelihood": {
            "numerator": "25313984575877800498658462583800985577974442039603115135745173184623076441909527696064961198127012017865819765763700987367411872273235926445687877324856111152953081044765735116461263251916930665382479525619938398262413224836488826714294577607853696062994625347787942966705881668972755048655535624173740089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.53139845758778e-196,
            "status": "finite",
            "log2": -649.7579719835835
          },
          "trueMass": {
            "numerator": "1605617761786564006336532944047837959515542716196553066623538738246698326196282677584045161142187952233660887061857881116135888309851430708903416742672789714168140480951028208846065694582279706877091802497103198902318003796149182405403471767002243137648600678545313748951114228248486282672022481360219302138100055761241266801945264165640411546630966232961632384237055475260765116007877575201133645131865586531708697831015433956483915697595383",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2844942094292513e-55,
            "status": "finite",
            "log2": -182.3448448323004
          },
          "falseMass": {
            "numerator": "7928511594913968590835002271834373859966064968947901918302329658962917487627765783961031692320296961384150599511667632669494448191207605875",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.5501502963027794e-10,
            "status": "finite",
            "log2": -32.58687284871684
          },
          "noiseInformation": 1.299515943967167,
          "jointInformation": 2.299515943967167,
          "informationDensity": -149.75797198358353,
          "difference": 0.8305203503778859,
          "margin": -0.8105203503778858,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "25313984575877800498658462583800985577974442039603115135745173184623076441909527696064961198127012017865819765763700987367411872273235926445687877324856111152953081044765735116461263251916930665382479525619938398262413224836488826714294577607853696062994625347787942966705881668972755048655535624173740089",
            "value": 1.2068176601524496e+45,
            "status": "finite",
            "log2": 149.7579719835835
          }
        },
        {
          "k": 182,
          "count": "889387322647052652475205529570168003983885617615606404198133858886741337513233331018397928738522982217685816701264870266925267331163156492000",
          "singleLikelihood": {
            "numerator": "2812664952875311166517606953755665064219382448844790570638352576069230715767725299562773466458556890873979973973744554151934652474803991827298653036095123461439231227196192790717918139101881185042497725068882044251379247204054314079366064178650410673666069483087549218522875740996972783183948402685971121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.8126649528753116e-197,
            "status": "finite",
            "log2": -652.9278969850259
          },
          "trueMass": {
            "numerator": "625387137985242879146952392126080963474307846723687946584748299756650508005633912270220276439997505204563886413592996429850242211041033450720622638476947397826174375364319900637234379208482572031492411473230672099926060086656397054119300969076575776446768762461483621386331427119984278598748683216007273970761804380752092930183808631061405718406933123705446557474506345064937816857769165432431786077002591091105097201579882090498619178916883",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5015485519409715e-56,
            "status": "finite",
            "log2": -184.70515186017656
          },
          "falseMass": {
            "numerator": "27793353832720395389850172799067750124496425550487700131191683090210666797288541594324935273078843194302681771914527195841414604098848640375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.717021673190036e-10,
            "status": "finite",
            "log2": -31.777254875150675
          },
          "noiseInformation": 1.3058557939700517,
          "jointInformation": 2.3058557939700517,
          "informationDensity": -152.92789698502585,
          "difference": 0.8368602003807705,
          "margin": -0.8168602003807705,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2812664952875311166517606953755665064219382448844790570638352576069230715767725299562773466458556890873979973973744554151934652474803991827298653036095123461439231227196192790717918139101881185042497725068882044251379247204054314079366064178650410673666069483087549218522875740996972783183948402685971121",
            "value": 1.0861358941372046e+46,
            "status": "finite",
            "log2": 152.92789698502588
          }
        },
        {
          "k": 183,
          "count": "1545492724599796412497898133351439482332653696184496374508232607245812816006602181769675089283335018279913058530066823742525874378742534232000",
          "singleLikelihood": {
            "numerator": "312518328097256796279734105972851673802153605427198952293150286229914523974191699951419274050950765652664441552638283794659405830533776869699850337343902606826581247466243643413102015455764576115833080563209116027931027467117146008818451575405601185962896609231949913169208415666330309242660933631774569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.125183280972568e-198,
            "status": "finite",
            "log2": -656.0978219864681
          },
          "trueMass": {
            "numerator": "60374350297300314380306879385577943650525165530702115061915591779785932466846261111697039437741107059821285937924278343865323929299043302164285974206335541138045977949560937584286743347995585278085788357160702406732388314376664925078912479710489100458431228434350877838753307171874620702611439363293962696630921005792096403096068957097002737842563671323112327042165457720294543339638917610052613227834494221909963846418458562470722798693251",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.829948023784025e-57,
            "status": "finite",
            "log2": -187.07789374461845
          },
          "falseMass": {
            "numerator": "24148323821871818945279658333616241911447714002882755851691134488215825250103159090151173270052109660623641539532294120976966787167852097375",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.721381923903998e-10,
            "status": "finite",
            "log2": -30.98007175815036
          },
          "noiseInformation": 1.3121956439729363,
          "jointInformation": 2.3121956439729363,
          "informationDensity": -156.09782198646815,
          "difference": 0.8432000503836551,
          "margin": -0.8232000503836551,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "312518328097256796279734105972851673802153605427198952293150286229914523974191699951419274050950765652664441552638283794659405830533776869699850337343902606826581247466243643413102015455764576115833080563209116027931027467117146008818451575405601185962896609231949913169208415666330309242660933631774569",
            "value": 9.775223047234841e+46,
            "status": "finite",
            "log2": 156.09782198646826
          }
        },
        {
          "k": 184,
          "count": "2662615183142040558488226675393512586410060987448289949560379002700666644967896150114059800558789134753980649750169473512938598793811866041000",
          "singleLikelihood": {
            "numerator": "34724258677472977364414900663650185978017067269688772477016698469990502663799077772379919338994529516962715728070920421628822870059308541077761148593766956314064583051804849268122446161751619568425897840356568447547891940790794000979827952822844576218099623247994434796578712851814478804740103736863841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.4724258677472976e-199,
            "status": "finite",
            "log2": -659.2677469879104
          },
          "trueMass": {
            "numerator": "92457338377991302698344351522841585203944335619481016785638853112039326531353936098589185998859569748615206001555537367175399447284042158386853400113083896332176690869617474464825592470118843155329444005893442816107087418634796044686064038976932583793829465766614629347269557359827317694337325015285923549913052941237171786383835069564009023652621660915104384890659179214170870718190999431819702382722389702151973619877542822720865348723481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.24573383779913e-58,
            "status": "finite",
            "log2": -189.46304167197832
          },
          "falseMass": {
            "numerator": "332826897892755069811028334424189073301257623431036243695047375337583330620987018764257475069848641844247581218771184189117324849226483255125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 8.134119944986779e-10,
            "status": "finite",
            "log2": -30.19529468406796
          },
          "noiseInformation": 1.318535493975821,
          "jointInformation": 2.318535493975821,
          "informationDensity": -159.26774698791047,
          "difference": 0.8495399003865397,
          "margin": -0.8295399003865397,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "34724258677472977364414900663650185978017067269688772477016698469990502663799077772379919338994529516962715728070920421628822870059308541077761148593766956314064583051804849268122446161751619568425897840356568447547891940790794000979827952822844576218099623247994434796578712851814478804740103736863841",
            "value": 8.797700742511358e+47,
            "status": "finite",
            "log2": 159.2677469879104
          }
        },
        {
          "k": 185,
          "count": "4548034583096674683687997996888378255705833902884646616546377107315733296269487478032664307981499278823015596330019208811289714696457025237600",
          "singleLikelihood": {
            "numerator": "3858250964163664151601655629294465108668563029965419164112966496665611407088786419153324370999392168551412858674546713514313652228812060119751238732640772923784953672422761029791382906861291063158433093372952049727543548976754888997758661424760508468677735916443826088508745872423830978304455970762649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.858250964163664e-200,
            "status": "finite",
            "log2": -662.4376719893528
          },
          "trueMass": {
            "numerator": "21934323519103041781288900211124580273608415957774775753950358546099419807738621476842479561291009039461265087456118474495064733740058049587271527354155038469195070806906247695859524940358524352165243472869615562980360078294741403994591769006539561921058642028716383538841726821100174468025972000623387268597991538611821534907876788274945083689360694331210950169255480954713209569781047913254523988693900259669687435346323972957802890538003",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7547458815282435e-58,
            "status": "finite",
            "log2": -191.86056738575985
          },
          "falseMass": {
            "numerator": "142126080721771083865249937402761820490807309465145206767074284603616665508421483688520759624421852463219237385313100275352803584264282038675",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.3893956230355795e-9,
            "status": "finite",
            "log2": -29.42289539640717
          },
          "noiseInformation": 1.3248753439787055,
          "jointInformation": 2.3248753439787055,
          "informationDensity": -162.43767198935276,
          "difference": 0.8558797503894243,
          "margin": -0.8358797503894243,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3858250964163664151601655629294465108668563029965419164112966496665611407088786419153324370999392168551412858674546713514313652228812060119751238732640772923784953672422761029791382906861291063158433093372952049727543548976754888997758661424760508468677735916443826088508745872423830978304455970762649",
            "value": 7.917930668260221e+48,
            "status": "finite",
            "log2": 162.4376719893528
          }
        },
        {
          "k": 186,
          "count": "7702316632663723254632899833439995433050202577465933786086606391421806388843486857958544392549313294780913509913742208470732581340773994354000",
          "singleLikelihood": {
            "numerator": "428694551573740461289072847699385012074284781107268796012551832962845711898754046572591596777710240950156984297171857057145961358756895568861248748071196991531661519158084558865709211873476784795381454819216894414171505441861654333084295713862278718741970657382647343167638430269314553144939552306961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.286945515737405e-201,
            "status": "finite",
            "log2": -665.6075969907951
          },
          "trueMass": {
            "numerator": "1650970587459368736226046252450237224895257115101327207286586127125762781227638175676315665903624336303536081851535799155542506840649530614095706359990164185853392426326276708290501877231286779195233379678358160654435704817883761590990778312320182080079682733344243922278409545674206680389051655960900116991246674949276889724248790515318447159414245809876093023492348028849381365467390703148189977643626901265460344595959868932307744449097",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3019411749187374e-59,
            "status": "finite",
            "log2": -194.27044317992295
          },
          "falseMass": {
            "numerator": "481394789541482703414556239589999714565637661091620861630412899463862899302717928622409024534332080923807094369608888029420786333798374647125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.353008716431223e-9,
            "status": "finite",
            "log2": -28.66284618912789
          },
          "noiseInformation": 1.3312151939815902,
          "jointInformation": 2.33121519398159,
          "informationDensity": -165.6075969907951,
          "difference": 0.8622196003923089,
          "margin": -0.8422196003923089,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "428694551573740461289072847699385012074284781107268796012551832962845711898754046572591596777710240950156984297171857057145961358756895568861248748071196991531661519158084558865709211873476784795381454819216894414171505441861654333084295713862278718741970657382647343167638430269314553144939552306961",
            "value": 7.126137601434199e+49,
            "status": "finite",
            "log2": 165.60759699079517
          }
        },
        {
          "k": 187,
          "count": "12933301725435342791201767634760206235175206466974883469685531587735011797309384349727181493371574195514475091512914724384010858508037616188000",
          "singleLikelihood": {
            "numerator": "47632727952637829032119205299931668008253864567474310668061314773649523544306005174732399641967804550017442699685761895238440150972988396540138749785688554614629057684231617651745467985941864977264606091024099379352389493540183814787143968206919857637996739709183038129737603363257172571659950256329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.763272795263783e-202,
            "status": "finite",
            "log2": -668.7775219922374
          },
          "trueMass": {
            "numerator": "154012110654260779315204552367609770830989522917949121535349983338529267173344737719062126884651824598725588146578205862994755540096242606306016576659807354235877962527169009626624358125556758368182792994356643626111946319909536880442990014874788227315811164073111286867326380671925400369032150912573570034239885898417392564888330428345214619149160185472695546457693785222431892084599132735749154183035902257086912716319488664511179963463",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.160484426170431e-60,
            "status": "finite",
            "log2": -196.69264189236128
          },
          "falseMass": {
            "numerator": "404165678919854462225055238586256444849225202092965108427672862116719118665918260928974421667861693609827346609778585137000339328376175505875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.951041374114461e-9,
            "status": "finite",
            "log2": -27.915119900123898
          },
          "noiseInformation": 1.3375550439844748,
          "jointInformation": 2.337555043984475,
          "informationDensity": -168.77752199223738,
          "difference": 0.8685594503951936,
          "margin": -0.8485594503951935,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "47632727952637829032119205299931668008253864567474310668061314773649523544306005174732399641967804550017442699685761895238440150972988396540138749785688554614629057684231617651745467985941864977264606091024099379352389493540183814787143968206919857637996739709183038129737603363257172571659950256329",
            "value": 6.41352384129078e+50,
            "status": "finite",
            "log2": 168.77752199223733
          }
        },
        {
          "k": 188,
          "count": "21532571489687565391734857817446513572392763958314566627721124398729035598711900539705360677794163421255482466189054833681890418686254116313000",
          "singleLikelihood": {
            "numerator": "5292525328070869892457689477770185334250429396386034518673479419294391504922889463859155515774200505557493633298417988359826683441443155171126527753965394957181006409359068627971718665104651664140511787891566597705821054837798201643015996467435539737555193301020337569970844818139685841295550028481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.29252532807087e-203,
            "status": "finite",
            "log2": -671.9474469936797
          },
          "trueMass": {
            "numerator": "113961679987668141668224645132533943900944966130775591112445732352150497932049415853584978049399577067142101867326190153941745825177597956912016994076878727838841140120576595775729134972338688816173083232230802494026097395110366533282874408169760555909808260886250195719794697754876241880631355166987062460324076326724926413262523461163243914405879758990434293241745046748513433150069807438036608177991104979830268747536642912510636710553",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1396167998766814e-60,
            "status": "finite",
            "log2": -199.12713689854877
          },
          "falseMass": {
            "numerator": "2691571436210945673966857227180814196549095494789320828465140549841129449838987567463170084724270427656935308273631854210236302335781764539125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.578063564350139e-9,
            "status": "finite",
            "log2": -27.17968990486895
          },
          "noiseInformation": 1.3438948939873594,
          "jointInformation": 2.3438948939873594,
          "informationDensity": -171.9474469936797,
          "difference": 0.8748993003980782,
          "margin": -0.8548993003980782,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5292525328070869892457689477770185334250429396386034518673479419294391504922889463859155515774200505557493633298417988359826683441443155171126527753965394957181006409359068627971718665104651664140511787891566597705821054837798201643015996467435539737555193301020337569970844818139685841295550028481",
            "value": 5.772171457161701e+51,
            "status": "finite",
            "log2": 171.9474469936797
          }
        },
        {
          "k": 189,
          "count": "35545832300436615884768654174832339865537261137535157607666618055044757178825994541735833499850682473183653594978757185760581008624927430104000",
          "singleLikelihood": {
            "numerator": "588058369785652210273076608641131703805603266265114946519275491032710167213654384873239501752688945061943737033157554262202964826827017241236280861551710550797889601039896514219079851678294629348945754210174066411757894981977577960335110718603948859728354811224481952218982757571076204588394447609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.8805836978565216e-204,
            "status": "finite",
            "log2": -675.1173719951221
          },
          "trueMass": {
            "numerator": "2612878024408617004738836660887021641467874002998382159544611147403803303556688546907592089316039685842764240344339456792315160012890252980346068647265297110943447657085530414611073641341098685379629774283951379933578952621578068664333981139694686467067914270760586497984710883268767450525939360089650462053285700612740817235295952372349507737700946855159869157218140401641401465521882710219534226303147027756249548003485639969379677667",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0903024195268934e-61,
            "status": "finite",
            "log2": -201.57390210534982
          },
          "falseMass": {
            "numerator": "555403629694322123199510221481755310399019705273986837619790907110074330919156164714622398435166913643494587421543081027509078259764491095375",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.0859025566546261e-8,
            "status": "finite",
            "log2": -26.45653011022779
          },
          "noiseInformation": 1.3502347439902442,
          "jointInformation": 2.350234743990244,
          "informationDensity": -175.1173719951221,
          "difference": 0.8812391504009629,
          "margin": -0.8612391504009629,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "588058369785652210273076608641131703805603266265114946519275491032710167213654384873239501752688945061943737033157554262202964826827017241236280861551710550797889601039896514219079851678294629348945754210174066411757894981977577960335110718603948859728354811224481952218982757571076204588394447609",
            "value": 5.194954311445532e+52,
            "status": "finite",
            "log2": 175.11737199512208
          }
        },
        {
          "k": 190,
          "count": "58182914975977829158752902359857145779905727440912810610443780079573260434815180539367601149755590785053243515991544656692319440433433846117600",
          "singleLikelihood": {
            "numerator": "65339818865072467808119623182347967089511474029457216279919499003634463023739376097026611305854327229104859670350839362466996091869668582359586762394634505644209955671099612691008872408699403260993972690019340712417543886886397551148345635400438762192039423469386883579886973063452911620932716401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.533981886507246e-205,
            "status": "finite",
            "log2": -678.2872969965644
          },
          "trueMass": {
            "numerator": "4752076406965379464758936851086922400564379034692964044551895127734402499451053439112638244311627732731577068696430240131052717918180518578290218416956183634522878487447952976280958493901062521362952396504730287481538329036905142424607415990906710475193692036295569595749971255535594603003316613964218091804513759593932129591678603437430976060964879952951574899969834297722081027937459198118568095791103658667798885550199029417994618447",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.8016611255723035e-62,
            "status": "finite",
            "log2": -204.03291194499252
          },
          "falseMass": {
            "numerator": "1818216092999307161211028198745535805622053982528525331576368127486664388587974391855237535929862212032913859874735770521634982513544807691175",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.7774510269452038e-8,
            "status": "finite",
            "log2": -25.745614948428113
          },
          "noiseInformation": 1.3565745939931286,
          "jointInformation": 2.3565745939931286,
          "informationDensity": -178.28729699656432,
          "difference": 0.8875790004038475,
          "margin": -0.8675790004038475,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "65339818865072467808119623182347967089511474029457216279919499003634463023739376097026611305854327229104859670350839362466996091869668582359586762394634505644209955671099612691008872408699403260993972690019340712417543886886397551148345635400438762192039423469386883579886973063452911620932716401",
            "value": 4.6754588803009785e+53,
            "status": "finite",
            "log2": 178.28729699656424
          }
        },
        {
          "k": 191,
          "count": "94433003364152497587504710636417357024977882233942258058835454579412098087919926529863645845153053106630918795588370908767638882378871687416000",
          "singleLikelihood": {
            "numerator": "7259979873896940867568847020260885232167941558828579586657722111514940335971041788558512367317147469900539963372315484718555121318852064706620751377181611738245550630122179187889874712077711473443774743335482301379727098542933061238705070600048751354671047052154098175542997007050323513436968489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.25997987389694e-206,
            "status": "finite",
            "log2": -681.4572219980066
          },
          "trueMass": {
            "numerator": "85697712981923655269067505749676901929898632970030183467777050005681487773695553584928322032379557716508952373234053196080648199804302545623616504319745021914025150151766458560040554572968550414340619134174891746322099011136741951810837635670801643240840286867459370254944216941014213317686338006335521143653244064812039567970934675136916962123275903747236080220514754641875806786539403805512280959583602919547274841219412397881229303",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.855817038553893e-63,
            "status": "finite",
            "log2": -206.5041413691963
          },
          "falseMass": {
            "numerator": "1475515677564882774804761103694021203515279409905347782169303977803314032623748852029119466330516454791108106181068295449494357537169870115875",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 2.8848681589162994e-8,
            "status": "finite",
            "log2": -25.04691937118963
          },
          "noiseInformation": 1.3629144439960132,
          "jointInformation": 2.3629144439960132,
          "informationDensity": -181.45722199800662,
          "difference": 0.8939188504067319,
          "margin": -0.8739188504067319,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7259979873896940867568847020260885232167941558828579586657722111514940335971041788558512367317147469900539963372315484718555121318852064706620751377181611738245550630122179187889874712077711473443774743335482301379727098542933061238705070600048751354671047052154098175542997007050323513436968489",
            "value": 4.2079129922708805e+54,
            "status": "finite",
            "log2": 181.45722199800662
          }
        },
        {
          "k": 192,
          "count": "151978114789182925804890393680484183962073779220250821563438309713741345360246131758999305032043194843484134936650034431297918826328496621935125",
          "singleLikelihood": {
            "numerator": "806664430432993429729871891140098359129771284314286620739746901279437815107893532062056929701905274433393329263590609413172791257650229411846750153020179082027283403346908798654430523564190163715974971481720255708858566504770340137633896733338750150519005228017122019504777445227813723715218721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.066644304329934e-207,
            "status": "finite",
            "log2": -684.627146999449
          },
          "trueMass": {
            "numerator": "980762715237570721412661454690746766531062132879234321909004016731688137854515779916401907703899382755602454938123053244034084953315906911025833327214859695238287829514660581298241902335084521408564863424445983319019577571898269004057364052676952139311838838594257237362139371658273774635743646072506519755142682075071119500111807948789160788744157565107257362523668858679245344334839843551973882093012344523707700960622164109085179801",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2259533940469634e-63,
            "status": "finite",
            "log2": -208.9875658434553
          },
          "falseMass": {
            "numerator": "151978114789182925804890393680484183962073779220250821563438309713741345360246131758999305032043194843484134936650034431297918826328496621935125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.6428346932559196e-8,
            "status": "finite",
            "log2": -24.360418844006404
          },
          "noiseInformation": 1.369254293998898,
          "jointInformation": 2.369254293998898,
          "informationDensity": -184.62714699944905,
          "difference": 0.9002587004096165,
          "margin": -0.8802587004096165,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "806664430432993429729871891140098359129771284314286620739746901279437815107893532062056929701905274433393329263590609413172791257650229411846750153020179082027283403346908798654430523564190163715974971481720255708858566504770340137633896733338750150519005228017122019504777445227813723715218721",
            "value": 3.787121693043793e+55,
            "status": "finite",
            "log2": 184.627146999449
          }
        },
        {
          "k": 193,
          "count": "242535022565120938590187778516005847980926031087239653064968908765970644409097453791563657771343544102554992541389692253055746106265165593554500",
          "singleLikelihood": {
            "numerator": "89629381159221492192207987904455373236641253812698513415527433475493090567543725784672992189100586048154814362621178823685865695294469934649638905891131009114142600371878755406047835951576684857330552386857806189873174056085593348625988525926527794502111692001902446611641938358645969301690969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.962938115922149e-208,
            "status": "finite",
            "log2": -687.7970720008913
          },
          "trueMass": {
            "numerator": "43476527963899220235333869897056707554917549931894670573974271323166371108116128413104747779620179891871841698466019055722869626600647571761076088771182611706015062102837573264228339942315203309418246680300714286450493651719151821135530818685161378656886350357949226987268124132232055640156741938735176753682202947484442257633050784143215532949510726835497303923041164144100110255488006881693718434750691150446455367857171350834518621",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1738263981949613e-64,
            "status": "finite",
            "log2": -211.4831613414708
          },
          "falseMass": {
            "numerator": "60633755641280234647546944629001461995231507771809913266242227191492661102274363447890914442835886025638748135347423063263936526566291398388625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.409290598563851e-8,
            "status": "finite",
            "log2": -23.6860893405796
          },
          "noiseInformation": 1.3755941440017825,
          "jointInformation": 2.3755941440017825,
          "informationDensity": -187.79707200089123,
          "difference": 0.9065985504125011,
          "margin": -0.8865985504125011,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "89629381159221492192207987904455373236641253812698513415527433475493090567543725784672992189100586048154814362621178823685865695294469934649638905891131009114142600371878755406047835951576684857330552386857806189873174056085593348625988525926527794502111692001902446611641938358645969301690969",
            "value": 3.4084095237394135e+56,
            "status": "finite",
            "log2": 187.79707200089138
          }
        },
        {
          "k": 194,
          "count": "383805422306660454366946639198009254279094286308157595314151829851304060997901640793866200700012721853012282011374409905608835333110339367119750",
          "singleLikelihood": {
            "numerator": "9958820128802388021356443100495041470737917090299834823947492608388121174171525087185888021011176227572757151402353202631762855032718881627737656210125667679349177819097639489560870661286298317481172487428645132208130450676177038736220947325169754944679076889100271845737993150960663255743441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.958820128802388e-209,
            "status": "finite",
            "log2": -690.9669970023336
          },
          "trueMass": {
            "numerator": "15288996660844284779206756080637353057685782163907976937239520385122652840998455238056308783898505414438322338406721477785705584612140669565464329040954251768323738906725240540799656772383467830459795797081694485613174743502611236069424927074850565003051671889908834690826247547073586576779060452682358835487326809711023795066834582739939482950171584351085535285651360128566705439215141022542922748532029992195947076669131276868496239",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.822249165211071e-65,
            "status": "finite",
            "log2": -213.99090433973015
          },
          "falseMass": {
            "numerator": "191902711153330227183473319599004627139547143154078797657075914925652030498950820396933100350006360926506141005687204952804417666555169683559875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.1725011411129393e-7,
            "status": "finite",
            "log2": -23.02390733739651
          },
          "noiseInformation": 1.3819339940046673,
          "jointInformation": 2.381933994004667,
          "informationDensity": -190.96699700233367,
          "difference": 0.9129384004153859,
          "margin": -0.8929384004153859,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9958820128802388021356443100495041470737917090299834823947492608388121174171525087185888021011176227572757151402353202631762855032718881627737656210125667679349177819097639489560870661286298317481172487428645132208130450676177038736220947325169754944679076889100271845737993150960663255743441",
            "value": 3.067568571365472e+57,
            "status": "finite",
            "log2": 190.96699700233353
          }
        },
        {
          "k": 195,
          "count": "602279278081221020698900879972260675945655649283570380339130563766661757258245651707297730329250732753957734848618304774955403138111609468403300",
          "singleLikelihood": {
            "numerator": "1106535569866932002372938122277226830081990787811092758216388067598680130463502787465098669001241803063639683489150355847973650559190986847526406245569518631038797535455293276617874517920699813053463609714293903578681161186241893192913438591685528327186564098788919093970888127884518139527049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.106535569866932e-209,
            "status": "finite",
            "log2": -694.1369220037759
          },
          "trueMass": {
            "numerator": "6664434441906483108884996240277820563606622994523989947001842219156028161460865103768134598109604924242345634690109362111717818933497214938792143428108263591320604138828951004963952952064588541482475091035610416805742836911394641363595481032627169360304574926370517685744774571801306969365231479374361543673962968335574474772722766835358236157767100870986002560412131338093179294016856343159735557052423329931566674445518761711908617",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.664434441906484e-66,
            "status": "finite",
            "log2": -216.51077181222945
          },
          "falseMass": {
            "numerator": "150569819520305255174725219993065168986413912320892595084782640941665439314561412926824432582312683188489433712154576193738850784527902367100825",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.8399248675926124e-7,
            "status": "finite",
            "log2": -22.373849808453485
          },
          "noiseInformation": 1.3882738440075517,
          "jointInformation": 2.3882738440075517,
          "informationDensity": -194.13692200377585,
          "difference": 0.9192782504182705,
          "margin": -0.8992782504182705,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1106535569866932002372938122277226830081990787811092758216388067598680130463502787465098669001241803063639683489150355847973650559190986847526406245569518631038797535455293276617874517920699813053463609714293903578681161186241893192913438591685528327186564098788919093970888127884518139527049",
            "value": 2.7608117142289246e+58,
            "status": "finite",
            "log2": 194.1369220037759
          }
        },
        {
          "k": 196,
          "count": "937220305177410261801861063222140337568494760364739622466504193616488958998800631483294937502150374948760760861370321205925499781245106570729625",
          "singleLikelihood": {
            "numerator": "122948396651881333596993124697469647786887865312343639801820896399853347829278087496122074333471311451515520387683372871997072284354554094169600693952168736782088615050588141846430501991188868117051512190477100397631240131804654799212604287965058703020729344309879899330098680876057571058561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2294839665188133e-210,
            "status": "finite",
            "log2": -697.3068470052182
          },
          "trueMass": {
            "numerator": "921837870649196076285679752056569284308399099015789992669189059792557183331321476938449456881373923761412888245117168001847589466991678256839729589829034192903757035076113404314741791555419276712995420755492597335941752951462750846211619825374733176822174763058053466735671766167527721386120454063120304227010750722154292428880019902396490715700211231587633007222539708897242487381016410278330768662580097790987680592237289034980557",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1522973383114951e-66,
            "status": "finite",
            "log2": -219.0427412253366
          },
          "falseMass": {
            "numerator": "937220305177410261801861063222140337568494760364739622466504193616488958998800631483294937502150374948760760861370321205925499781245106570729625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.863148390896667e-7,
            "status": "finite",
            "log2": -21.73589422011844
          },
          "noiseInformation": 1.3946136940104363,
          "jointInformation": 2.3946136940104363,
          "informationDensity": -197.30684700521817,
          "difference": 0.9256181004211551,
          "margin": -0.9056181004211551,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "122948396651881333596993124697469647786887865312343639801820896399853347829278087496122074333471311451515520387683372871997072284354554094169600693952168736782088615050588141846430501991188868117051512190477100397631240131804654799212604287965058703020729344309879899330098680876057571058561",
            "value": 2.4847305428060325e+59,
            "status": "finite",
            "log2": 197.3068470052183
          }
        },
        {
          "k": 197,
          "count": "1446268897329607713643481031571221637669149274877567742283336420606155550942311634370160715739358954235651123359678059119803816921312245672598000",
          "singleLikelihood": {
            "numerator": "13660932961320148177443680521941071976320873923593737755757877377761483092142009721791341592607923494612835598631485874666341364928283788241066743772463192975787623894509793538492277999020985346339056910053011155292360014644961644356956031996117633668969927145542211036677631208450841228729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3660932961320148e-211,
            "status": "finite",
            "log2": -700.4767720066606
          },
          "trueMass": {
            "numerator": "9878691225231091624042817421926010378939415048674568449359612033873991248333394281912317924842698562587052947917217254390921714536289840315823385339397433539295760669174368122944215476341210523151107159816333530390802767105353787974066991924489526429566452621603505847703194335692626455914432389847312904857983228268996929581906586658507232711959398420848859073450792142722846734483537391589557024584896705035964992246197682833971",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9757382450462183e-67,
            "status": "finite",
            "log2": -221.58679053279184
          },
          "falseMass": {
            "numerator": "90391806083100482102717564473201352354321829679847983892708526287884721933894477148135044733709934639728195209979878694987738557582015354537375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.4182594458506946e-7,
            "status": "finite",
            "log2": -21.110018526131228
          },
          "noiseInformation": 1.4009535440133212,
          "jointInformation": 2.400953544013321,
          "informationDensity": -200.47677200666058,
          "difference": 0.9319579504240397,
          "margin": -0.9119579504240397,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "13660932961320148177443680521941071976320873923593737755757877377761483092142009721791341592607923494612835598631485874666341364928283788241066743772463192975787623894509793538492277999020985346339056910053011155292360014644961644356956031996117633668969927145542211036677631208450841228729",
            "value": 2.236257488525429e+60,
            "status": "finite",
            "log2": 200.47677200666044
          }
        },
        {
          "k": 198,
          "count": "2213229676216520895121084608919596748554304193373247605615408764866995615835961743505852004389019005724253991807992181380305841046250557771703000",
          "singleLikelihood": {
            "numerator": "1517881440146683130827075613549007997368985991510415306195319708640164788015778857976815732511991499401426177625720652740704596103142643137896304863607021441754180432723310393165808666557887260704339656672556795032484446071662404928550670221790848185441103016171356781853070134272315692081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.517881440146683e-212,
            "status": "finite",
            "log2": -703.6466970081028
          },
          "trueMass": {
            "numerator": "3359420248310909946223315015537128108662898720256334725203100388623815205662198055465131684879166851250142584981949301998259572956785433912115023297236164267571959015443135287600558124951051390027817586334847429526838651439867786482763522506307886092209467053137892561003443191599176000159453438971645129261469043956796935649065876271074850181508078250861059819591010122609452929908543018688704577384089451880917387935575642983943",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3594202483109104e-68,
            "status": "finite",
            "log2": -224.14289817084068
          },
          "falseMass": {
            "numerator": "276653709527065111890135576114949593569288024171655950701926095608374451979495217938231500548627375715531748975999022672538230130781319721462875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.761275818650306e-7,
            "status": "finite",
            "log2": -20.49620116273792
          },
          "noiseInformation": 1.4072933940162056,
          "jointInformation": 2.4072933940162056,
          "informationDensity": -203.6466970081028,
          "difference": 0.9382978004269243,
          "margin": -0.9182978004269243,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1517881440146683130827075613549007997368985991510415306195319708640164788015778857976815732511991499401426177625720652740704596103142643137896304863607021441754180432723310393165808666557887260704339656672556795032484446071662404928550670221790848185441103016171356781853070134272315692081",
            "value": 2.0126317396728862e+61,
            "status": "finite",
            "log2": 203.64669700810282
          }
        },
        {
          "k": 199,
          "count": "3358770664408991509178731416551347829464320936676988828622379130602174251168142947430991484047656983561430681035244415964082231135515921844494000",
          "singleLikelihood": {
            "numerator": "168653493349631458980786179283223110818776221278935034021702189848907198668419873108535081390221277711269575291746739193411621789238071459766256095956335715750464492524812265907312074061987473411593295185839643892498271785740267214283407802421205353937900335130150753539230014919146188009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6865349334963146e-213,
            "status": "finite",
            "log2": -706.8166220095452
          },
          "trueMass": {
            "numerator": "283234202956419543204757435704135312343996486185765797602271445383694079316020048227378494928394301808359313418355301285168730048282859028882952829638559913123040654010001914253313387419100368450139841170609693946707222985717496236123557732245946845295158863776561572703249537650181784491388871739094592137622459875754515512567809780531715453605650371792305992606500574268021994648905636974871240192628423916258249904116092736223",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.664684059128391e-69,
            "status": "finite",
            "log2": -226.71104305350173
          },
          "falseMass": {
            "numerator": "209923166525561969323670713534459239341520058542311801788898695662635890698008934214436967752978561472589417564702775997755139445969745115280875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0000010260830639358754,
            "status": "finite",
            "log2": -19.89442104395647
          },
          "noiseInformation": 1.4136332440190904,
          "jointInformation": 2.41363324401909,
          "informationDensity": -206.8166220095452,
          "difference": 0.944637650429809,
          "margin": -0.9246376504298089,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "168653493349631458980786179283223110818776221278935034021702189848907198668419873108535081390221277711269575291746739193411621789238071459766256095956335715750464492524812265907312074061987473411593295185839643892498271785740267214283407802421205353937900335130150753539230014919146188009",
            "value": 1.8113685657055976e+62,
            "status": "finite",
            "log2": 206.8166220095452
          }
        },
        {
          "k": 200,
          "count": "5054949849935532221313990781909778483343803009698868187076680591556272248008055135883642183491723760259953174958042846025943757858951462375963470",
          "singleLikelihood": {
            "numerator": "18739277038847939886754019920358123424308469030992781557966909983211910963157763678726120154469030856807730587971859910379069087693119051085139566217370635083384943613868029545256897117998608156843699465093293765833141309526696357142600866935689483770877815014461194837692223879905132001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.873927703884794e-214,
            "status": "finite",
            "log2": -709.9865470109875
          },
          "trueMass": {
            "numerator": "9472610565542475833847998682993858779504771371323945008698189451165768652680226057382325219271853871590683704324993965203976416059237840854863200191245170427781692984112286243360814401461023433721343576928168653106541568744551818563687875267336666714871424221860559264853123425856079681323116710385274692602706713622456574364767860437782927948366751323276011530506296983852735598813399636604027033109017288754859246793215990400347",
            "denominator": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.472610565542477e-70,
            "status": "finite",
            "log2": -229.29120456795886
          },
          "falseMass": {
            "numerator": "2527474924967766110656995390954889241671901504849434093538340295778136124004027567941821091745861880129976587479021423012971878929475731187981735",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0000015442550112234925,
            "status": "finite",
            "log2": -19.304657556971506
          },
          "noiseInformation": 1.419973094021975,
          "jointInformation": 2.419973094021975,
          "informationDensity": -209.98654701098752,
          "difference": 0.9509775004326936,
          "margin": -0.9309775004326936,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "18739277038847939886754019920358123424308469030992781557966909983211910963157763678726120154469030856807730587971859910379069087693119051085139566217370635083384943613868029545256897117998608156843699465093293765833141309526696357142600866935689483770877815014461194837692223879905132001",
            "value": 1.6302317091350379e+63,
            "status": "finite",
            "log2": 209.98654701098758
          }
        },
        {
          "k": 201,
          "count": "7544701268560495852707448928223549975140004492087862965786090435158615295534410650572600273868244418298437574564243053770065310237240988620841000",
          "singleLikelihood": {
            "numerator": "2082141893205326654083779991150902602700941003443642395329656664801323440350862630969568906052114539645303398663539990042118787521457672342793285135263403898153882623763114393917433013110956461871522162788143751759237923280744039682511207437298831530097535001606799426410247097767236889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0821418932053268e-215,
            "status": "finite",
            "log2": -713.1564720124297
          },
          "trueMass": {
            "numerator": "15709138582989180487310113902145702785248377066872213944773116834437427284710159299141501192822311561510254899378099444782713791143014661450851078260771426911744101134514570884512130019006672361063588021439749010126934608199920097120543740078501934850533041827297776558628728732762984546141155406940754050750757402358966126641406070377749465917689471514553916302663842427616476946622553294534041514276977261616682001315449403649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.570913858298918e-70,
            "status": "finite",
            "log2": -231.88336257008427
          },
          "falseMass": {
            "numerator": "943087658570061981588431116027943746892500561510982870723261304394826911941801331321575034233530552287304696820530381721258163779655123577605125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.000002304858225706705,
            "status": "finite",
            "log2": -18.726890557654542
          },
          "noiseInformation": 1.4263129440248594,
          "jointInformation": 2.4263129440248594,
          "informationDensity": -213.1564720124297,
          "difference": 0.9573173504355782,
          "margin": -0.9373173504355782,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2082141893205326654083779991150902602700941003443642395329656664801323440350862630969568906052114539645303398663539990042118787521457672342793285135263403898153882623763114393917433013110956461871522162788143751759237923280744039682511207437298831530097535001606799426410247097767236889",
            "value": 1.467208538221534e+64,
            "status": "finite",
            "log2": 213.15647201242973
          }
        },
        {
          "k": 202,
          "count": "11167651877720733960195679354152680408746838332347876370148718020358544422597964279807957831121807332035806112845092440976482810697698295037779500",
          "singleLikelihood": {
            "numerator": "231349099245036294898197776794544733633437889271515821703295184977924826705651403441063211783568282182811488740393332226902087502384185815865920570584822655350431402640346043768603668123439606874613573643127083528804213697860448853612356381922092392233059444622977714045583010863026321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.313490992450363e-216,
            "status": "finite",
            "log2": -716.3263970138721
          },
          "trueMass": {
            "numerator": "5167252405185660028279124374853206966764867704064677634199298056652135047445915985086148357154973769957718608266283535742608826789616483799564876127580480359308565719713813745290568620113305870140828183069840433474096202257179437886735509662785564928833200777075946304763465226728418459071733186661480155307454855121376096662024659013143113651693236504787261798125950369480007268471004879060152269272625083854112121444795788439",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.58362620259283e-71,
            "status": "finite",
            "log2": -234.4874973800804
          },
          "falseMass": {
            "numerator": "2791912969430183490048919838538170102186709583086969092537179505089636105649491069951989457780451833008951528211273110244120702674424573759444875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0000034116465816153707,
            "status": "finite",
            "log2": -18.161100366208245
          },
          "noiseInformation": 1.4326527940277443,
          "jointInformation": 2.432652794027744,
          "informationDensity": -216.32639701387214,
          "difference": 0.9636572004384629,
          "margin": -0.9436572004384629,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "231349099245036294898197776794544733633437889271515821703295184977924826705651403441063211783568282182811488740393332226902087502384185815865920570584822655350431402640346043768603668123439606874613573643127083528804213697860448853612356381922092392233059444622977714045583010863026321",
            "value": 1.3204876843993805e+65,
            "status": "finite",
            "log2": 216.3263970138721
          }
        },
        {
          "k": 203,
          "count": "16393892904240289261765085948460585033529841492806242159134571281117469152385188942772273072287185147520542963683928804980255554620266462666297000",
          "singleLikelihood": {
            "numerator": "25705455471670699433133086310504970403715321030168424633699464997547202967294600382340356864840920242534609860043703580766898611376020646207324507842758072816714600293371782640955963124826622986068174849236342614311579299762272094845817375769121376914784382735886412671731445651447369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.57054554716707e-217,
            "status": "finite",
            "log2": -719.4963220153144
          },
          "trueMass": {
            "numerator": "421412484057286997380180367735702155472340059061651323205087799913064106223011210606368968372244713587137423443719894266912268851479395777851760559939513723884497149555204295592936357086416297017505965669078393315621419888516549668923695095651367911546878443231700054411470344161212014450841951183667511297652311665618521293180992990124972049317072927867160376530249920663667806788275712632710830936847913242617792060905622593",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.21412484057287e-72,
            "status": "finite",
            "log2": -237.10358977824558
          },
          "falseMass": {
            "numerator": "2049236613030036157720635743557573129191230186600780269891821410139683644048148617846534134035898143440067870460491100622531944327533307833287125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.00000500822995724818,
            "status": "finite",
            "log2": -17.607267762931258
          },
          "noiseInformation": 1.4389926440306287,
          "jointInformation": 2.4389926440306287,
          "informationDensity": -219.49632201531432,
          "difference": 0.9699970504413475,
          "margin": -0.9499970504413475,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "25705455471670699433133086310504970403715321030168424633699464997547202967294600382340356864840920242534609860043703580766898611376020646207324507842758072816714600293371782640955963124826622986068174849236342614311579299762272094845817375769121376914784382735886412671731445651447369",
            "value": 1.1884389159594425e+66,
            "status": "finite",
            "log2": 219.4963220153145
          }
        },
        {
          "k": 204,
          "count": "23867579375291009366393286895552910563521386879232617261092978776921021265972554490212574031712225435360790491245719877838901469226564408881814750",
          "singleLikelihood": {
            "numerator": "2856161719074522159237009590056107822635035670018713848188829444171911440810511153593372984982324471392734428893744842307433179041780071800813834204750896979634955588152420293439551458314069220674241649915149179367953255529141343871757486196569041879420486970654045852414605072383041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.856161719074522e-218,
            "status": "finite",
            "log2": -722.6662470167568
          },
          "trueMass": {
            "numerator": "272678666154715115951881414417219041776220038216362620897409752884923833438419018627650508946746579379912450463583460996237350433310197268021727421137332409572321685006308661854252936938269368658386213079991901557166801104334238021068273297186179236883274286796982388148598457986666597585838909589431919074951495783635513777940642523022040737793400129796397890696044066311785051451237225821165831782666296804046806627644814619",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.816966653867878e-73,
            "status": "finite",
            "log2": -239.7316210008587
          },
          "falseMass": {
            "numerator": "11933789687645504683196643447776455281760693439616308630546489388460510632986277245106287015856112717680395245622859938919450734613282204440907375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0000072913936142289675,
            "status": "finite",
            "log2": -17.065373984101996
          },
          "noiseInformation": 1.4453324940335135,
          "jointInformation": 2.4453324940335133,
          "informationDensity": -222.66624701675676,
          "difference": 0.9763369004442322,
          "margin": -0.9563369004442321,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2856161719074522159237009590056107822635035670018713848188829444171911440810511153593372984982324471392734428893744842307433179041780071800813834204750896979634955588152420293439551458314069220674241649915149179367953255529141343871757486196569041879420486970654045852414605072383041",
            "value": 1.0695950243634983e+67,
            "status": "finite",
            "log2": 222.66624701675664
          }
        },
        {
          "k": 205,
          "count": "34462456073590920841231282541871519642938197640257827850163520575456694120623785995624009333594237701789238953213332116294218706785673487946425200",
          "singleLikelihood": {
            "numerator": "317351302119391351026334398895123091403892852224301538687647716019101271201167905954819220553591607932526047654860538034159242115753341311201537133861210775514995065350268921493283495368229913408249072212794353263105917281015704874639720688507671319935609663406005094712733896931449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1735130211939133e-219,
            "status": "finite",
            "log2": -725.836172018199
          },
          "trueMass": {
            "numerator": "27341763272966014336638515808772641045312036352318203179415070072472037499245267450469021222302502539449215900142515059243311561063624116305701665534095661664433339688979459318719129178092050515881544400974797717114286289594489991272428487793736129443580348540618830247962447006793127671208779552327861804263429116516298129495403179815218176960313834153026346763559974128823975348769044323531533268180631386855641856972515287",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0936705309186408e-73,
            "status": "finite",
            "log2": -242.37157273617754
          },
          "falseMass": {
            "numerator": "2153903504599432552576955158866969977683637352516114240635220035966043382538986624726500583349639856361827434575833257268388669174104592996651575",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00001052806102347207,
            "status": "finite",
            "log2": -16.53540071797846
          },
          "noiseInformation": 1.451672344036398,
          "jointInformation": 2.451672344036398,
          "informationDensity": -225.83617201819905,
          "difference": 0.9826767504471168,
          "margin": -0.9626767504471168,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "317351302119391351026334398895123091403892852224301538687647716019101271201167905954819220553591607932526047654860538034159242115753341311201537133861210775514995065350268921493283495368229913408249072212794353263105917281015704874639720688507671319935609663406005094712733896931449",
            "value": 9.626355219271484e+67,
            "status": "finite",
            "log2": 225.83617201819902
          }
        },
        {
          "k": 206,
          "count": "49351575445190881787200137620641253857605671378039122406787565872620023133902994508296518220438350106931191704844334826732012225736765431767939000",
          "singleLikelihood": {
            "numerator": "35261255791043483447370488766124787933765872469366837631960857335455696800129767328313246728176845325836227517206726448239915790639260145689059681540134530612777229483363213499253721707581101489805452468088261473678435253446189430515524520945296813326178851489556121634748210770161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5261255791043483e-220,
            "status": "finite",
            "log2": -729.0060970196413
          },
          "trueMass": {
            "numerator": "1740198525463856360152828945757913507738306520805581432131056239779773691969224141939236517924323246847361098283072695248495557823898406539413590363011482241857138124757052966347819440676840324096020625304760588252149828571817593835030507853107261744521295106684477869072043552751666162460968709371460460034026232874284346968963093429447543085931516952565862415372209788134427773006875528682157996572445794848417335017668179",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7401985254638563e-74,
            "status": "finite",
            "log2": -245.02342712055383
          },
          "falseMass": {
            "numerator": "6168946930648860223400017202580156732200708922254890300848445734077502891737874313537064777554793763366398963105541853341501528217095678970992375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.00001507659224235078,
            "status": "finite",
            "log2": -16.01733010091249
          },
          "noiseInformation": 1.4580121940392825,
          "jointInformation": 2.4580121940392825,
          "informationDensity": -229.00609701964126,
          "difference": 0.9890166004500014,
          "margin": -0.9690166004500014,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "35261255791043483447370488766124787933765872469366837631960857335455696800129767328313246728176845325836227517206726448239915790639260145689059681540134530612777229483363213499253721707581101489805452468088261473678435253446189430515524520945296813326178851489556121634748210770161",
            "value": 8.663719697344337e+68,
            "status": "finite",
            "log2": 229.0060970196414
          }
        },
        {
          "k": 207,
          "count": "70093541936647919060081354881490476493410953551417883998046108050967569088731789301638533124680555224337054885141229174199089827858014671206638000",
          "singleLikelihood": {
            "numerator": "3917917310115942605263387640680531992640652496596315292440095259495077422236640814257027414241871702870691946356302938693323976737695571743228853504459392290308581053707023722139302411953455721089494718676473497075381694827354381168391613438366312591797650165506235737194245641129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.9179173101159426e-221,
            "status": "finite",
            "log2": -732.1760220210837
          },
          "trueMass": {
            "numerator": "137310350640465316662622573819867571464053171528942818316299123589708391153771309106316569047168823020162147851643417177417523886265735781692859787097524363689210576671651522304417314964839252625933994589264523066594752979096718354132842004512489251983161771702962021875249813341113755170028126826411533883522198729210842192398054070922591966522776699960913459506019773942974172105212400813890083465458685905913767175307151",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.7462070128093064e-75,
            "status": "finite",
            "log2": -247.68716673465906
          },
          "falseMass": {
            "numerator": "4380846371040494941255084680093154780838184596963617749877881753185473068045736831352408320292534701521065930321326823387443114241125916950414875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00002141313101087502,
            "status": "finite",
            "log2": -15.511144713575447
          },
          "noiseInformation": 1.4643520440421673,
          "jointInformation": 2.464352044042167,
          "informationDensity": -232.17602202108367,
          "difference": 0.995356450452886,
          "margin": -0.975356450452886,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3917917310115942605263387640680531992640652496596315292440095259495077422236640814257027414241871702870691946356302938693323976737695571743228853504459392290308581053707023722139302411953455721089494718676473497075381694827354381168391613438366312591797650165506235737194245641129",
            "value": 7.797347727609903e+69,
            "status": "finite",
            "log2": 232.17602202108355
          }
        },
        {
          "k": 208,
          "count": "98737537439605001368287677789791873137352929762333846208786104129487969918261607045096587526593282118897870583396058404040064036357684128190119875",
          "singleLikelihood": {
            "numerator": "435324145568438067251487515631170221404516944066257254715566139943897491359626757139669712693541300318965771817366993188147108526410619082580983722717710254478731228189669302459922490217050635676610524297385944119486854980817153463154623715374034732421961129500692859688249515681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.3532414556843805e-222,
            "status": "finite",
            "log2": -735.3459470225259
          },
          "trueMass": {
            "numerator": "343862672971421690445712941275394858452714352632309792877569600100722723145769175796160296844619360212884695047277959256267816227998808410564170236064740500520843580895674325087130540894853854866655217219269275713780022417737935707358313737796233767786892300076648482132035857341421626195027702223406661776683796817596382584381451647695038001633962163149979860130459775771721644673737037935639268849396538208826784464658079",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.298283412142771e-76,
            "status": "finite",
            "log2": -250.36277459982034
          },
          "falseMass": {
            "numerator": "98737537439605001368287677789791873137352929762333846208786104129487969918261607045096587526593282118897870583396058404040064036357684128190119875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.000030163689356665297,
            "status": "finite",
            "log2": -15.016827577294293
          },
          "noiseInformation": 1.470691894045052,
          "jointInformation": 2.4706918940450517,
          "informationDensity": -235.345947022526,
          "difference": 1.0016963004557706,
          "margin": -0.9816963004557706,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "435324145568438067251487515631170221404516944066257254715566139943897491359626757139669712693541300318965771817366993188147108526410619082580983722717710254478731228189669302459922490217050635676610524297385944119486854980817153463154623715374034732421961129500692859688249515681",
            "value": 7.017612954848912e+70,
            "status": "finite",
            "log2": 235.34594702252593
          }
        },
        {
          "k": 209,
          "count": "137949095370165839232248812988608741416780169811490349727107858401007115866662149555828725156771475496259225886849995473587075112997338590581411500",
          "singleLikelihood": {
            "numerator": "48369349507604229694609723959018913489390771562917472746174015549321943484402973015518856965949033368773974646374110354238567614045624342508998191413078917164303469798852144717769165579672292852956724921931771568831872775646350384794958190597114970269106792166743651076472168409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.836934950760423e-223,
            "status": "finite",
            "log2": -738.5158720239683
          },
          "trueMass": {
            "numerator": "13345016016434759916287636742745255006405182212737168995248580971479403928570520910749442673927279795609028569086279120525013601618241900037843927290125495235524498354802884493014635558386141097961632566191736909678863177296581236915022276905435972912516288094415385005655830720852620261689007050669158059382199451187951051919110032047707482253736968585831222641958300707780797480692612317544745681023895422245802905858607",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.6725080082173805e-77,
            "status": "finite",
            "log2": -253.0502341744634
          },
          "falseMass": {
            "numerator": "34487273842541459808062203247152185354195042452872587431776964600251778966665537388957181289192868874064806471712498868396768778249334647645352875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.000042142570775819455,
            "status": "finite",
            "log2": -14.534362150495156
          },
          "noiseInformation": 1.4770317440479366,
          "jointInformation": 2.4770317440479364,
          "informationDensity": -238.51587202396829,
          "difference": 1.0080361504586552,
          "margin": -0.9880361504586552,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "48369349507604229694609723959018913489390771562917472746174015549321943484402973015518856965949033368773974646374110354238567614045624342508998191413078917164303469798852144717769165579672292852956724921931771568831872775646350384794958190597114970269106792166743651076472168409",
            "value": 6.315851659364021e+71,
            "status": "finite",
            "log2": 238.5158720239683
          }
        },
        {
          "k": 210,
          "count": "191158032155801234364687640855643541677538235310208056050420889498538431986660407241648376288669044616244927300349279441970661228010597761234241650",
          "singleLikelihood": {
            "numerator": "5374372167511581077178858217668768165487863506990830305130446172146882609378108112835428551772114818752663849597123372693174179338402704723222021268119879684922607755428016079752129508852476983661858324659085729870208086182927820532773132288568330029900754685193739008496907601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.374372167511581e-224,
            "status": "finite",
            "log2": -741.6857970254106
          },
          "trueMass": {
            "numerator": "20547088152288439871109535937242694216211153565642942738716069114817494937640325846709459355094383177366282082561413883982957450110626417518585094399082111711839306990728250727339994431165963277813942205088864765696027431710609206043764458092496656706572697542195116596009771109884193101330693395474735424763068996273511937081804335057581361565277554806756009464602462994519640565510847536537148112052664380283220347115633",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0273544076144222e-77,
            "status": "finite",
            "log2": -255.74952935066358
          },
          "falseMass": {
            "numerator": "95579016077900617182343820427821770838769117655104028025210444749269215993330203620824188144334522308122463650174639720985330614005298880617120825",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.00005839756236077839,
            "status": "finite",
            "log2": -14.063732325253
          },
          "noiseInformation": 1.4833715940508212,
          "jointInformation": 2.483371594050821,
          "informationDensity": -241.6857970254106,
          "difference": 1.0143760004615399,
          "margin": -0.9943760004615398,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5374372167511581077178858217668768165487863506990830305130446172146882609378108112835428551772114818752663849597123372693174179338402704723222021268119879684922607755428016079752129508852476983661858324659085729870208086182927820532773132288568330029900754685193739008496907601",
            "value": 5.684266493427619e+72,
            "status": "finite",
            "log2": 241.6857970254107
          }
        },
        {
          "k": 211,
          "count": "262729048934513544861419032455623825054436437156210124429488426325005427848964540758663645136085416771142317142660147100338823488734944790321943500",
          "singleLikelihood": {
            "numerator": "597152463056842341908762024185418685054207056332314478347827352460764734375345345870603172419123868750295983288569263632574908815378078302580224585346653298324734195047557342194681056539164109295762036073231747763356454020325313392530348032063147781100083853910415445388545289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.971524630568423e-225,
            "status": "finite",
            "log2": -744.8557220268528
          },
          "trueMass": {
            "numerator": "313778597375652846899513713628245461964256689522720031291609270315801660448430463167232396681272834198853175563075830771724995288682551926297508023998620979275060506967414044809299546342186906296263467060335480887406422074569598196560910629111323351495844248932942802150754798413186729825481889662331399324975777194276906885398802378446476822218561921746142324630580003602458965981998198293616269220393505544082880498343",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5688929868782642e-78,
            "status": "finite",
            "log2": -258.4606444507981
          },
          "falseMass": {
            "numerator": "65682262233628386215354758113905956263609109289052531107372106581251356962241135189665911284021354192785579285665036775084705872183736197580485875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.00008026205253377125,
            "status": "finite",
            "log2": -13.604922423945254
          },
          "noiseInformation": 1.4897114440537056,
          "jointInformation": 2.4897114440537056,
          "informationDensity": -244.8557220268528,
          "difference": 1.0207158504644245,
          "margin": -1.0007158504644245,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "597152463056842341908762024185418685054207056332314478347827352460764734375345345870603172419123868750295983288569263632574908815378078302580224585346653298324734195047557342194681056539164109295762036073231747763356454020325313392530348032063147781100083853910415445388545289",
            "value": 5.115839844084857e+73,
            "status": "finite",
            "log2": 244.85572202685285
          }
        },
        {
          "k": 212,
          "count": "358154222368275539929009907451298516229868539330871348868500732112861172869579020185159403039286252107830800255796143924518490510586787945297366375",
          "singleLikelihood": {
            "numerator": "66350273672982482434306891576157631672689672925812719816425261384529414930593927318955908046569318750032887032063251514730545423930897589175580509482961477591637132783061926910520117393240456588418004008136860862595161557813923710281149781340349753455564872656712827265393921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.635027367298249e-226,
            "status": "finite",
            "log2": -748.0256470282952
          },
          "trueMass": {
            "numerator": "190109045370154450217944367376442219093648182960306266338102891239552787986575270136960508681106601852135362133603595582869022302786703368343773205315726337548202277806252953773349201033316595219329438114123593242055463269498142303576736209251933854470228486250776666292595674510295523940386302122460742987249475071584960356143089910631093923734097264957306356013076773671091490919910858085650108605227931031949585878451",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3763630671269305e-79,
            "status": "finite",
            "log2": -261.1835642243029
          },
          "falseMass": {
            "numerator": "358154222368275539929009907451298516229868539330871348868500732112861172869579020185159403039286252107830800255796143924518490510586787945297366375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.00010941383576537683,
            "status": "finite",
            "log2": -13.157917196007759
          },
          "noiseInformation": 1.4960512940565904,
          "jointInformation": 2.49605129405659,
          "informationDensity": -248.02564702829523,
          "difference": 1.027055700467309,
          "margin": -1.007055700467309,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "66350273672982482434306891576157631672689672925812719816425261384529414930593927318955908046569318750032887032063251514730545423930897589175580509482961477591637132783061926910520117393240456588418004008136860862595161557813923710281149781340349753455564872656712827265393921",
            "value": 4.604255859676371e+74,
            "status": "finite",
            "log2": 248.02564702829523
          }
        },
        {
          "k": 213,
          "count": "484264864047245800467393677680628979691089855996671119596846060321615106978585717433454967489739157779602208796569434038785564634032840038711932000",
          "singleLikelihood": {
            "numerator": "7372252630331386937145210175128625741409963658423635535158362376058823881177103035439545338507702083336987448007027946081171713770099732130620056609217941954626348087006880767835568599248939620935333778681873429177240173090435967809016642371149972606173874739634758585043769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.372252630331387e-227,
            "status": "finite",
            "log2": -751.1955720297375
          },
          "trueMass": {
            "numerator": "892530729437344836703964166086583188233090060846508292667149724129355812143545869187608021977026299775283390298608429966521231468482175438233677020261625997878883933362689923818540849921674155959293136686026259352373066992949024899421296757051332650094969419017730827664768424930964901128574188368360295714786267941713428902080234322211708562131912042053081483629468420991039863473759897115728209414215638647650637927",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5701229177493794e-80,
            "status": "finite",
            "log2": -263.9182738445288
          },
          "falseMass": {
            "numerator": "15133277001476431264606052427519655615346557999895972487401439385050472093080803669795467734054348680612569024892794813712048894813526251209747875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.00014793983427431235,
            "status": "finite",
            "log2": -12.722701814791264
          },
          "noiseInformation": 1.502391144059475,
          "jointInformation": 2.502391144059475,
          "informationDensity": -251.19557202973752,
          "difference": 1.0333955504701937,
          "margin": -1.0133955504701937,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7372252630331386937145210175128625741409963658423635535158362376058823881177103035439545338507702083336987448007027946081171713770099732130620056609217941954626348087006880767835568599248939620935333778681873429177240173090435967809016642371149972606173874739634758585043769",
            "value": 4.143830273708734e+75,
            "status": "finite",
            "log2": 251.1955720297376
          }
        },
        {
          "k": 214,
          "count": "649458018605418433337112081749254753137115834911423417403246819216371662162869630389726989110070739638999223946801063407156341354987967715468806000",
          "singleLikelihood": {
            "numerator": "819139181147931881905023352792069526823329295380403948350929152895424875686344781715505037611966898148554160889669771786796857085566636903402228512135326883847372009667431196426174288805437735659481530964652603241915574787826218645446293596794441400685986082181639842782641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.191391811479319e-228,
            "status": "finite",
            "log2": -754.3654970311799
          },
          "trueMass": {
            "numerator": "265998254775200382278336153340445872297919883139094371750230499299195345882863618335247665947462666703537209777466894496772163480222621340366630638437265484310736956256585678230447792240415869948408234920965250710416479986475981460159825720948839533309715704317849166707983943878698781540914633501266256355289365419804521386185905763732876798890819061338768832608159332112594434908586802151831771653042459285436898323",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.319965095504007e-81,
            "status": "finite",
            "log2": -266.66475890569654
          },
          "falseMass": {
            "numerator": "40591126162838652083569505109328422071069739681963963587702926201023228885179351899357936819379421227437451496675066462947271334686747982216800375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00019840529176040956,
            "status": "finite",
            "log2": -12.29926187451673
          },
          "noiseInformation": 1.5087309940623597,
          "jointInformation": 2.5087309940623594,
          "informationDensity": -254.36549703117984,
          "difference": 1.0397354004730783,
          "margin": -1.0197354004730783,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "819139181147931881905023352792069526823329295380403948350929152895424875686344781715505037611966898148554160889669771786796857085566636903402228512135326883847372009667431196426174288805437735659481530964652603241915574787826218645446293596794441400685986082181639842782641",
            "value": 3.729447246337861e+76,
            "status": "finite",
            "log2": 254.36549703117976
          }
        },
        {
          "k": 215,
          "count": "863930201493719404346111885489706322777744785044963243615481815329685094784096345541683343653396425752343153715279554113705644779193296588949202400",
          "singleLikelihood": {
            "numerator": "91015464571992431322780372532452169647036588375600438705658794766158319520704975746167226401329655349839351209963307976310761898396292989266914279126147431538596889963047910714019365422826415073275725662739178137990619420869579849494032621866049044520665120242404426975849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.101546457199243e-229,
            "status": "finite",
            "log2": -757.5354220326221
          },
          "trueMass": {
            "numerator": "98288760808407376397421369322180257722487191960957351835356489405129029615631776284083762869475869092004705421647973935499791673570632691660021140301108434771150864973363700224687427106923693546827849079323077135890327230144871702332958858128382566571807094877138064184087090373782753902715226332509236844460928307576347695670761044480106930856297482613550240472782388868478047007565665911400370404095792449140766047",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.863100864672591e-82,
            "status": "finite",
            "log2": -269.42300541994996
          },
          "falseMass": {
            "numerator": "26997818796678731385815996421553322586804524532655101362983806729052659212003010798177604489168638304760723553602486066053301399349790518404662575",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0002639251788068704,
            "status": "finite",
            "log2": -11.887583387327822
          },
          "noiseInformation": 1.5150708440652443,
          "jointInformation": 2.515070844065244,
          "informationDensity": -257.53542203262214,
          "difference": 1.0460752504759632,
          "margin": -1.0260752504759632,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "91015464571992431322780372532452169647036588375600438705658794766158319520704975746167226401329655349839351209963307976310761898396292989266914279126147431538596889963047910714019365422826415073275725662739178137990619420869579849494032621866049044520665120242404426975849",
            "value": 3.356502521704075e+77,
            "status": "finite",
            "log2": 257.53542203262214
          }
        },
        {
          "k": 216,
          "count": "1139907904748657547401119848910029175887302146934326501992649617448890055617904900367498856209342506201008327818771633900028281305880044110419086500",
          "singleLikelihood": {
            "numerator": "10112829396888047924753374725828018849670732041733382078406532751795368835633886194018580711258850594426594578884811997367862433155143665474101586569571936837621876662560878968224373935869601674808413962526575348665624380096619983277114735762894338280073902249156047441761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0112829396888047e-229,
            "status": "finite",
            "log2": -760.7053470340645
          },
          "trueMass": {
            "numerator": "23055388337774569772234642186684257984287119101952959072491028378980883490086466041945574006420265589482585222361870429314765948121506433846177798342235311859899585611035929682334087839895681202342334969223931673850817498429043979559582942030114429195855985218094113820958700211134226224093695065650314815367378244987044521206721726482988045509501878637746352703492165290136825841280835213785272070096543907823142653",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1527694168887286e-82,
            "status": "finite",
            "log2": -272.19299981450354
          },
          "falseMass": {
            "numerator": "284976976187164386850279962227507293971825536733581625498162404362222513904476225091874714052335626550252081954692908475007070326470011027604771625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0003482346109257317,
            "status": "finite",
            "log2": -11.487652780439191
          },
          "noiseInformation": 1.5214106940681291,
          "jointInformation": 2.521410694068129,
          "informationDensity": -260.7053470340646,
          "difference": 1.0524151004788478,
          "margin": -1.0324151004788478,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10112829396888047924753374725828018849670732041733382078406532751795368835633886194018580711258850594426594578884811997367862433155143665474101586569571936837621876662560878968224373935869601674808413962526575348665624380096619983277114735762894338280073902249156047441761",
            "value": 3.0208522695336676e+78,
            "status": "finite",
            "log2": 260.7053470340645
          }
        },
        {
          "k": 217,
          "count": "1491861036629579462958147636361512838488450736079948048690840973988409105048317934121519240384577289221596152537009880311557750649170195978612998000",
          "singleLikelihood": {
            "numerator": "1123647710765338658305930525092002094407859115748153564267392527977263203959320688224286745695427843825177175431645777485318048128349296163789065174396881870846875184728986552024930437318844630534268218058508372073958264455179998141901637306988259808897100249906227493529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1236477107653388e-230,
            "status": "finite",
            "log2": -763.8752720355068
          },
          "trueMass": {
            "numerator": "838163119294416002984464718512330935424672532636282690295372767489832425906881253957058758041904176576171812999330671009394973024386562623184139110239993416309713557800077320760737448352582368339122264626164438731903759543503390961971525286297042740863172017657287292006179065535345653820098489329837353758875501993896651820623268090267358541308056007823856140270324493394631149375800972953791252932337233720144971",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.676326238588832e-83,
            "status": "finite",
            "log2": -274.9747289288857
          },
          "falseMass": {
            "numerator": "93241314789348716434884227272594552405528171004996753043177560874275569065519870882594952524036080576349759533563117519472359415573137248663312375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0004557540530087918,
            "status": "finite",
            "log2": -11.099456893379
          },
          "noiseInformation": 1.5277505440710135,
          "jointInformation": 2.5277505440710133,
          "informationDensity": -263.8752720355068,
          "difference": 1.0587549504817324,
          "margin": -1.0387549504817324,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1123647710765338658305930525092002094407859115748153564267392527977263203959320688224286745695427843825177175431645777485318048128349296163789065174396881870846875184728986552024930437318844630534268218058508372073958264455179998141901637306988259808897100249906227493529",
            "value": 2.7187670425803002e+79,
            "status": "finite",
            "log2": 263.87527203550667
          }
        },
        {
          "k": 218,
          "count": "1936681987918215541363099913258294189413906230782684852199577961645503562975568694295366720315758591053723445724650440954912125842730116797924213000",
          "singleLikelihood": {
            "numerator": "124849745640593184256214502788000232711984346194239284918599169775251467106591187580476305077269760425019686159071753053924227569816588462643229463821875763427430576080998505780547826368760514503807579784278708008217584939464444237989070811887584423210788916656247499281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2484974564059319e-231,
            "status": "finite",
            "log2": -767.045197036949
          },
          "trueMass": {
            "numerator": "241794253578307572726405214412833491055231729598438329616300196941511291061822013119110732442261857258977189682783465744810170607442810624221316379406644380036339385175761347375421710381020193924537819458924093946104754282172741735206872228360920586813738716612652705033382951627423873630058993354071326313722494458993631463034031467426771118440550306028696521607035506249419587434609251117148750845923993009990853",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4179425357830757e-84,
            "status": "finite",
            "log2": -277.7681800122732
          },
          "falseMass": {
            "numerator": "242085248489776942670387489157286773676738278847835606524947245205687945371946086786920840039469823881715430715581305119364015730341264599740526625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.0005916440229426058,
            "status": "finite",
            "log2": -10.722982975324044
          },
          "noiseInformation": 1.5340903940738981,
          "jointInformation": 2.534090394073898,
          "informationDensity": -267.04519703694905,
          "difference": 1.065094800484617,
          "margin": -1.045094800484617,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "124849745640593184256214502788000232711984346194239284918599169775251467106591187580476305077269760425019686159071753053924227569816588462643229463821875763427430576080998505780547826368760514503807579784278708008217584939464444237989070811887584423210788916656247499281",
            "value": 2.44689033832227e+80,
            "status": "finite",
            "log2": 267.04519703694905
          }
        },
        {
          "k": 219,
          "count": "2493809683072770697097690299264104846642564187583183234339182580749004587941143250188554406981935719986986354768727965065229312728994944917875014000",
          "singleLikelihood": {
            "numerator": "13872193960065909361801611420888914745776038466026587213177685530583496345176798620052922786363306713891076239896861450436025285535176495849247718202430640380825619564555389531171980707640057167089731087142078667579731659940493804221007867987509380356754324072916388809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3872193960065909e-232,
            "status": "finite",
            "log2": -770.2151220383914
          },
          "trueMass": {
            "numerator": "17297305811537984654704787028010919451439712771882194051698796432649970593463675215522381164058306379257120114293489939126450560958618111626182450277187649713406318269803323176019513528018187388817773994778435944394099621403529469641891925012120650807071110625258260481840180710028800701084889935527172506461122130247641824600608034960514828868654283688506448273258247783444019192430189958152193743924547445159163",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.459461162307597e-85,
            "status": "finite",
            "log2": -280.5733407209177
          },
          "falseMass": {
            "numerator": "155863105192048168568605643704006552915160261723948952146198911296812786746321453136784650436370982499186647173045497816576832045562184057367188375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0007618429884466431,
            "status": "finite",
            "log2": -10.358218682526399
          },
          "noiseInformation": 1.5404302440767828,
          "jointInformation": 2.5404302440767825,
          "informationDensity": -270.21512203839137,
          "difference": 1.0714346504875016,
          "margin": -1.0514346504875016,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "13872193960065909361801611420888914745776038466026587213177685530583496345176798620052922786363306713891076239896861450436025285535176495849247718202430640380825619564555389531171980707640057167089731087142078667579731659940493804221007867987509380356754324072916388809",
            "value": 2.2022013044900437e+81,
            "status": "finite",
            "log2": 270.2151220383914
          }
        },
        {
          "k": 220,
          "count": "3185275095197493481292958973150970281393456985049429494769592296320319496415732969559017219826926987801559844045511628106042894894761725099649449700",
          "singleLikelihood": {
            "numerator": "1541354884451767706866845713432101638419559829558509690353076170064832927241866513339213642929256301543452915544095716715113920615019610649916413133603404486758402173839487725685775634182228574121081231904675407508859073326721533802334207554167708928528258230324043201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5413548844517678e-233,
            "status": "finite",
            "log2": -773.3850470398337
          },
          "trueMass": {
            "numerator": "49096393263052259474465102574455236018732922110089863924518806036107492290538310460220091990912970632032835879964350231257905127569411003706639076039290197671385610442573068812742255569425360164220146389219601013886282763781735161306784150791978816937242243289874456519162533126445383808129839109930661356722983016157448007199705634584895625374665189055255676411975430577250195889625084628694610525684826586764897",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.909639326305226e-86,
            "status": "finite",
            "log2": -283.3901991156638
          },
          "falseMass": {
            "numerator": "796318773799373370323239743287742570348364246262357373692398074080079874103933242389754304956731746950389961011377907026510723723690431274912362425",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0009730812716068488,
            "status": "finite",
            "log2": -10.005152075830154
          },
          "noiseInformation": 1.5467700940796674,
          "jointInformation": 2.546770094079667,
          "informationDensity": -273.3850470398337,
          "difference": 1.0777745004903863,
          "margin": -1.0577745004903862,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1541354884451767706866845713432101638419559829558509690353076170064832927241866513339213642929256301543452915544095716715113920615019610649916413133603404486758402173839487725685775634182228574121081231904675407508859073326721533802334207554167708928528258230324043201",
            "value": 1.981981174041039e+82,
            "status": "finite",
            "log2": 273.3850470398338
          }
        },
        {
          "k": 221,
          "count": "4035642654548860519285196889060052845204379890560363160794053588098142348400023671839478830549952744725958173451326949636615432445851959402270796000",
          "singleLikelihood": {
            "numerator": "171261653827974189651871745936900182046617758839834410039230685562759214137985168148801515881028477949272546171566190746123768957224401183324045903733711609639822463759943080631752848242469841569009025767186156389873230369635725978037134172685300992058695358924893689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7126165382797418e-234,
            "status": "finite",
            "log2": -776.5549720412761
          },
          "trueMass": {
            "numerator": "172787708819188444605960642544588563162961515721784337592574983535823250896816577788607664120860127915651006113499472910409922520354890410229499010696345592609200237857220453337956656101547270562866276885136856258021105754887956827122920591022549883640369885886938761002583072843196423658576608230022438158401649629513391679435866989489325981710737216383504140213085979909880025755342178180423465902359872351611",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.911508352767538e-87,
            "status": "finite",
            "log2": -286.21874365955273
          },
          "falseMass": {
            "numerator": "126113832954651891227662402783126651412636871580011348774814174628066948387500739744983713454686023272686192920353967176144232263932873731320962375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0012328631495471386,
            "status": "finite",
            "log2": -9.663771618276598
          },
          "noiseInformation": 1.5531099440825522,
          "jointInformation": 2.553109944082552,
          "informationDensity": -276.55497204127613,
          "difference": 1.0841143504932709,
          "margin": -1.0641143504932709,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "171261653827974189651871745936900182046617758839834410039230685562759214137985168148801515881028477949272546171566190746123768957224401183324045903733711609639822463759943080631752848242469841569009025767186156389873230369635725978037134172685300992058695358924893689",
            "value": 1.7837830566369352e+83,
            "status": "finite",
            "log2": 276.55497204127596
          }
        },
        {
          "k": 222,
          "count": "5071821173960054436398963657872769116270369321920456404781715995853070789205435155149615287042508179182623109878019004273043719154922057086637622000",
          "singleLikelihood": {
            "numerator": "19029072647552687739096860659655575782957528759981601115470076173639912681998352016533501764558719772141394019062910082902640995247155687036005100414856845515535829306660342292416983138052204618778780640798461821097025596626191775337459352520588999117632817658321521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.902907264755269e-235,
            "status": "finite",
            "log2": -779.7248970427183
          },
          "trueMass": {
            "numerator": "48256026787340916962025044314254463586052315201579409597926346753247934935146972175196735024744720408875506211878231173177545929108122547001031255239519940278245111473638144625915822875206895382422113364317500396384272778392132086854148993889180598133796995157613527847568245568820622823566440136312572819013073319954190469031638528596118066964259943314311967086537525920777304490230698410748895882641045431531",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.651205357468184e-88,
            "status": "finite",
            "log2": -289.05896321551586
          },
          "falseMass": {
            "numerator": "316988823372503402274935228617048069766898082620028525298857249740816924325339697196850955440156761198913944367376187767065232447182628567914851375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0015494090933497824,
            "status": "finite",
            "log2": -9.33406617279752
          },
          "noiseInformation": 1.5594497940854366,
          "jointInformation": 2.5594497940854364,
          "informationDensity": -279.7248970427183,
          "difference": 1.0904542004961553,
          "margin": -1.0704542004961553,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "19029072647552687739096860659655575782957528759981601115470076173639912681998352016533501764558719772141394019062910082902640995247155687036005100414856845515535829306660342292416983138052204618778780640798461821097025596626191775337459352520588999117632817658321521",
            "value": 1.6054047509732417e+84,
            "status": "finite",
            "log2": 279.72489704271834
          }
        },
        {
          "k": 223,
          "count": "6322718772918812257035479358244976745843778795936712468741332048641944750668659072338982286088866698711969616798606651066843739574297452332220892000",
          "singleLikelihood": {
            "numerator": "2114341405283631971010762295517286198106392084442400123941119574848879186888705779614833529395413308015710446562545564766960110583017298559556122268317427279503981034073371365824109237561356068753197848977606869010780621847354641704162150280065444346403646406480169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.114341405283632e-236,
            "status": "finite",
            "log2": -782.8948220441606
          },
          "trueMass": {
            "numerator": "3342096523886590661545331918127239879651854416053581432043728051171630770296676199478000083926017008885747565247171964659531083281529164939284177617485436820466402837486647784256252805009346516271387024235242927303145947282763507759206133607671202362031779933686238351176874008005015731178741992499973902263486393360056041452614726195745097811675202850368392339326714550567038028969639800246186610706081372687",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3368386095546363e-88,
            "status": "finite",
            "log2": -291.91084704415493
          },
          "falseMass": {
            "numerator": "197584961653712883032358729945155523307618087373022264648166626520060773458395596010593196440277084334749050524956457845838866861696795385381902875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0019315503495571278,
            "status": "finite",
            "log2": -9.016024999994329
          },
          "noiseInformation": 1.5657896440883212,
          "jointInformation": 2.565789644088321,
          "informationDensity": -282.8948220441606,
          "difference": 1.0967940504990399,
          "margin": -1.0767940504990399,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2114341405283631971010762295517286198106392084442400123941119574848879186888705779614833529395413308015710446562545564766960110583017298559556122268317427279503981034073371365824109237561356068753197848977606869010780621847354641704162150280065444346403646406480169",
            "value": 1.4448642758759175e+85,
            "status": "finite",
            "log2": 282.8948220441607
          }
        },
        {
          "k": 224,
          "count": "7818719196868352657137624027829725708030030028903881043934593649436690606853654299276330773422393194389355285058991260471052302955716045964398156625",
          "singleLikelihood": {
            "numerator": "234926822809292441223418032835254022011821342715822235993457730538764354098745086623870392155045923112856716284727284974106678953668588728839569140924158586611553448230374596202678804173484007639244205441956318778975624649706071300462461142229493816267071822942241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3492682280929243e-237,
            "status": "finite",
            "log2": -786.064747045603
          },
          "trueMass": {
            "numerator": "14694614874866438305524713354305483280374026559473683439303375717056217831304433448498508305515979547005588501166137050963335080460056804574312971429261365067764977555298435495856857571231571190590066757351782394650340117417864946814287285862300365940996873676683936877396731749482370754547802094007821760745805253345008309244036177082879239584667161738921344095134919531858246571818892455050693510564833971973",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.836826859358305e-89,
            "status": "finite",
            "log2": -294.7743848016057
          },
          "falseMass": {
            "numerator": "7818719196868352657137624027829725708030030028903881043934593649436690606853654299276330773422393194389355285058991260471052302955716045964398156625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.0023885689590505553,
            "status": "finite",
            "log2": -8.709637756002735
          },
          "noiseInformation": 1.572129494091206,
          "jointInformation": 2.572129494091206,
          "informationDensity": -286.06474704560304,
          "difference": 1.1031339005019245,
          "margin": -1.0831339005019245,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "234926822809292441223418032835254022011821342715822235993457730538764354098745086623870392155045923112856716284727284974106678953668588728839569140924158586611553448230374596202678804173484007639244205441956318778975624649706071300462461142229493816267071822942241",
            "value": 1.3003778482883257e+86,
            "status": "finite",
            "log2": 286.06474704560287
          }
        },
        {
          "k": 225,
          "count": "9590962214825179259422152140804463535183503502122094080559768209975673811073815940445632415398135651784275816339029279511157491625678349716328405460",
          "singleLikelihood": {
            "numerator": "26102980312143604580379781426139335779091260301758026221495303393196039344305009624874488017227324790317412920525253886011853217074287636537729904547128731845728160914486066244742089352609334182138245049106257642108402738856230144495829015803277090696341313660249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6102980312143607e-238,
            "status": "finite",
            "log2": -789.2346720470453
          },
          "trueMass": {
            "numerator": "12517634893404743741743274338852819090688985587699804411258431166381222597037109974646877445439538132634390204697079710079878031503011352044785123810111533205873869769328296903878063856975042125317464274781147965813252692615218288026985465734552163579367707206064094377041660379188686198318498080080737055450130400997599670837512298996526759646197952592414478303263079601212580413030908387635775953444117827977",
            "denominator": "5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5035269786809487e-90,
            "status": "finite",
            "log2": -297.64956653748686
          },
          "falseMass": {
            "numerator": "2397740553706294814855538035201115883795875875530523520139942052493918452768453985111408103849533912946068954084757319877789372906419587429082101365",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0029299779231020144,
            "status": "finite",
            "log2": -8.414894490441611
          },
          "noiseInformation": 1.5784693440940905,
          "jointInformation": 2.5784693440940902,
          "informationDensity": -289.23467204704525,
          "difference": 1.1094737505048091,
          "margin": -1.089473750504809,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "26102980312143604580379781426139335779091260301758026221495303393196039344305009624874488017227324790317412920525253886011853217074287636537729904547128731845728160914486066244742089352609334182138245049106257642108402738856230144495829015803277090696341313660249",
            "value": 1.170340063459493e+87,
            "status": "finite",
            "log2": 289.23467204704525
          }
        },
        {
          "k": 226,
          "count": "11670418624234178302394211675757643682192316208334406513955470167005797778961501697444906700152598691330424112801916158697204912376378522884912882750",
          "singleLikelihood": {
            "numerator": "2900331145793733842264420158459926197676806700195336246832811488132893260478334402763832001914147198924156991169472654001317024119365292948636656060792081316192017879387340693860232150289926020237582783234028626900933637650692238277314335089253010077371257073361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9003311457937336e-239,
            "status": "finite",
            "log2": -792.4045970484876
          },
          "trueMass": {
            "numerator": "135392314481270581277459211138034424776380375088198474458055794326640559063331572980448035299739350500470297199280114858287766319108284043748904977297174892098930744800994361792191447813889344521624490681015366395226921945690659949161101399292107963985294768207182928365249030650025121122422299784550744945871616923277872545931794777740210772967726134234571545069708825578503819609970493868233564884842965691",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3848078620317646e-91,
            "status": "finite",
            "log2": -300.5363826929324
          },
          "falseMass": {
            "numerator": "5835209312117089151197105837878821841096158104167203256977735083502898889480750848722453350076299345665212056400958079348602456188189261442456441375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0035652386232436018,
            "status": "finite",
            "log2": -8.13178564444479
          },
          "noiseInformation": 1.5848091940969753,
          "jointInformation": 2.5848091940969753,
          "informationDensity": -292.40459704848763,
          "difference": 1.1158136005076937,
          "margin": -1.0958136005076937,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2900331145793733842264420158459926197676806700195336246832811488132893260478334402763832001914147198924156991169472654001317024119365292948636656060792081316192017879387340693860232150289926020237582783234028626900933637650692238277314335089253010077371257073361",
            "value": 1.0533060571135438e+88,
            "status": "finite",
            "log2": 292.40459704848763
          }
        },
        {
          "k": 227,
          "count": "14086760806344338567647638762808785766170460973936684514642285576033429918217847863876230994897850402751260823382048579220414740049020772116590880500",
          "singleLikelihood": {
            "numerator": "322259016199303760251602239828880688630756300021704027425867943125877028942037155862648000212683022102684110129941406000146336013262810327626295117865786812910224208820815632651136905587769557804175864803780958544548181961188026475257148343250334453041250785929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.222590161993038e-240,
            "status": "finite",
            "log2": -795.5745220499299
          },
          "trueMass": {
            "numerator": "9079171357774875004900593208962660888088160248205184043442801675354751146195019822966902024505281947412839312922846664505836507938245185508370035188307861095229325520184154461835647748655330494107956545912435240404350615056103971138067005238873612856576301147520343213920272735708977774729248688440260429556735936607473587270022459398144334751139735873781841250391634412263839102577561262823298281558240969",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.539585678887438e-92,
            "status": "finite",
            "log2": -303.4348240987051
          },
          "falseMass": {
            "numerator": "3521690201586084641911909690702196441542615243484171128660571394008357479554461965969057748724462600687815205845512144805103685012255193029147720125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0043034157831222325,
            "status": "finite",
            "log2": -7.860302048775168
          },
          "noiseInformation": 1.5911490440998597,
          "jointInformation": 2.5911490440998595,
          "informationDensity": -295.57452204992984,
          "difference": 1.1221534505105784,
          "margin": -1.1021534505105783,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "322259016199303760251602239828880688630756300021704027425867943125877028942037155862648000212683022102684110129941406000146336013262810327626295117865786812910224208820815632651136905587769557804175864803780958544548181961188026475257148343250334453041250785929",
            "value": 9.479754514021895e+88,
            "status": "finite",
            "log2": 295.57452204993
          }
        },
        {
          "k": 228,
          "count": "16867042544438615916525462202836835588440946692476819616216420887092659507339791521220223954417162982241641249049558167224443965058695924508023291125",
          "singleLikelihood": {
            "numerator": "35806557355478195583511359980986743181195144446856003047318660347319669882448572873627555579187002455853790014437934000016259557029201147514032790873976312545580467646757292516792989509752173089352873867086773171616464662354225163917460927027814939226805642881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.580655735547819e-241,
            "status": "finite",
            "log2": -798.7444470513722
          },
          "trueMass": {
            "numerator": "4831605810277857458748268900676035911204810424483460514346754107937323709378636280058409849298132498330809225005725417953398375569475508077553644456935762337227301885010281029397917807763947806805988571216559104542666116784242464172889458928289466490926569616516673874074531104967935540937787313731366661343058305446082435330830665527667452996220561195989166981202565681380171686167006286063860489016373849",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.039507262847322e-93,
            "status": "finite",
            "log2": -306.34488197339215
          },
          "falseMass": {
            "numerator": "16867042544438615916525462202836835588440946692476819616216420887092659507339791521220223954417162982241641249049558167224443965058695924508023291125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.005152774161370042,
            "status": "finite",
            "log2": -7.6004349220200424
          },
          "noiseInformation": 1.5974888941027443,
          "jointInformation": 2.597488894102744,
          "informationDensity": -298.74444705137216,
          "difference": 1.128493300513463,
          "margin": -1.108493300513463,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "35806557355478195583511359980986743181195144446856003047318660347319669882448572873627555579187002455853790014437934000016259557029201147514032790873976312545580467646757292516792989509752173089352873867086773171616464662354225163917460927027814939226805642881",
            "value": 8.531779062619706e+89,
            "status": "finite",
            "log2": 298.74444705137216
          }
        },
        {
          "k": 229,
          "count": "20034216471996958643209282616469953188017194324688624172973216075498704742342459798130571683849206686330683055639649875480562264174520923433110634000",
          "singleLikelihood": {
            "numerator": "3978506372830910620390151108998527020132793827428444783035406705257741098049841430403061731020778050650421112715326000001806617447689016390448087874886256949508940849639699168532554389972463676594763763009641463512940518039358351546384547447534993247422849209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.97850637283091e-242,
            "status": "finite",
            "log2": -801.9143720528145
          },
          "trueMass": {
            "numerator": "39853128954256951382203091368992047787715563908888320593835429323112325598950420553611337912696871650472468134448001991852388347734635437806119338072735545721913698226673836729628628205719123103203205099796945549357265398026260015011703445793751057906720855643271933944331406494155703151840070030777890947516735173499952159448870118374743668576297690602530732013800881408764152675807426910764496998194253",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.970625790851391e-94,
            "status": "finite",
            "log2": -309.2665479216812
          },
          "falseMass": {
            "numerator": "1252138529499809915200580163529372074251074645293039010810826004718669046396403737383160730240575417895667690977478117217535141510907557714569414625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0061203256414526265,
            "status": "finite",
            "log2": -7.352175868866652
          },
          "noiseInformation": 1.6038287441056291,
          "jointInformation": 2.603828744105629,
          "informationDensity": -301.9143720528146,
          "difference": 1.1348331505163478,
          "margin": -1.1148331505163478,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3978506372830910620390151108998527020132793827428444783035406705257741098049841430403061731020778050650421112715326000001806617447689016390448087874886256949508940849639699168532554389972463676594763763009641463512940518039358351546384547447534993247422849209",
            "value": 7.678601156357735e+90,
            "status": "finite",
            "log2": 301.91437205281454
          }
        },
        {
          "k": 230,
          "count": "23605533321352938227433546039405901365011563747785291960329311115044126022499159153449499679665804399980935252514543983718401624309979001088578181800",
          "singleLikelihood": {
            "numerator": "442056263647878957821127900999836335570310425269827198115045189473082344227760158933673525668975338961157901412814000000200735271965446265605343097209584105500993427737744352059172709996940408510529307001071273723660057559928705727376060827503888138602538801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.4205626364787893e-243,
            "status": "finite",
            "log2": -805.0842970542568
          },
          "trueMass": {
            "numerator": "52174869307263931519695834594187656765559989465259588796760392978567344141621081980814843354303633899893907557658978453101435952831334317127818070616962960824341121832988452916566948037439045222067964164468464946259994796449837990667495815507761046824740830334911565695235802704909157266418642407443519066555725758543415629036926580094471179633703739870946030800676516240459349638375906728585404282660109",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0434973861452787e-94,
            "status": "finite",
            "log2": -312.19981393271405
          },
          "falseMass": {
            "numerator": "2950691665169117278429193254925737670626445468473161495041163889380515752812394894181187459958225549997616906564317997964800203038747375136072272725",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.007211340212320268,
            "status": "finite",
            "log2": -7.115516878457186
          },
          "noiseInformation": 1.6101685941085135,
          "jointInformation": 2.6101685941085133,
          "informationDensity": -305.08429705425675,
          "difference": 1.1411730005192324,
          "margin": -1.1211730005192324,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "442056263647878957821127900999836335570310425269827198115045189473082344227760158933673525668975338961157901412814000000200735271965446265605343097209584105500993427737744352059172709996940408510529307001071273723660057559928705727376060827503888138602538801",
            "value": 6.910741040721962e+91,
            "status": "finite",
            "log2": 305.0842970542569
          }
        },
        {
          "k": 231,
          "count": "27590883102880057668428820046058845751312217367541250343242051952648978467856160049486428197011979168808885360081934526424105794648027403869766706000",
          "singleLikelihood": {
            "numerator": "49117362627542106424569766777759592841145602807758577568338354385898038247528906548185947296552815440128655712534888888911192807996160696178371455245509345055665936415304928006574745555215600945614367444563474858184450839992078414152895647500432015400282089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.911736262754211e-244,
            "status": "finite",
            "log2": -808.2542220556992
          },
          "trueMass": {
            "numerator": "677595705289141967788257592132307230721558304743631023334550558163212261579494571179413550055891349349271526722843876014304363023783562560101533384635882608108326257571278609306064260226481106780103430707382661639740192161686207671006439162438455153568062731622228125912153281881937107356086265031734013851373061799265138039440604936291833501736412206116182218190604107018952592706180606864745510164417",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3551914105782839e-95,
            "status": "finite",
            "log2": -315.1446723785216
          },
          "falseMass": {
            "numerator": "1724430193930003604276801252878677859457013585471328146452628247040561154241010003092901762313248698050555335005120907901506612165501712741860419125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.008428839209205508,
            "status": "finite",
            "log2": -6.890450322822403
          },
          "noiseInformation": 1.6165084441113984,
          "jointInformation": 2.6165084441113984,
          "informationDensity": -308.2542220556992,
          "difference": 1.147512850522117,
          "margin": -1.127512850522117,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "49117362627542106424569766777759592841145602807758577568338354385898038247528906548185947296552815440128655712534888888911192807996160696178371455245509345055665936415304928006574745555215600945614367444563474858184450839992078414152895647500432015400282089",
            "value": 6.219666936649765e+92,
            "status": "finite",
            "log2": 308.2542220556991
          }
        },
        {
          "k": 232,
          "count": "31991153252908342727617899105128575461650803758054294579017724031304203482126323505654522349121648260386164490784656843138295080863445567417962258250",
          "singleLikelihood": {
            "numerator": "5457484736393567380507751864195510315682844756417619729815372709544226471947656283131771921839201715569850634726098765434576978666240077353152383916167705006185104046144992000730527283912844549512707493840386095353827871110230934905877294166714668377809121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.457484736393568e-245,
            "status": "finite",
            "log2": -811.4241470571415
          },
          "trueMass": {
            "numerator": "698364922309498809712801886144025460015705685731941552785418008221854783007218542709817030517374609099440768921245220872980358825278844171139128277651541845138466526002582168211997264371354090895968669962781363912222650158979271507665640362819710483945627872821376880729384033817015639382326457063358044927277216950200467941032654129741391616732164304387942592694530669686200181754645912822285602429993",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7459123057737472e-96,
            "status": "finite",
            "log2": -318.1011160125347
          },
          "falseMass": {
            "numerator": "15995576626454171363808949552564287730825401879027147289508862015652101741063161752827261174560824130193082245392328421569147540431722783708981129125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.009773093738259835,
            "status": "finite",
            "log2": -6.676968955393306
          },
          "noiseInformation": 1.622848294114283,
          "jointInformation": 2.622848294114283,
          "informationDensity": -311.4241470571415,
          "difference": 1.1538527005250017,
          "margin": -1.1338527005250016,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5457484736393567380507751864195510315682844756417619729815372709544226471947656283131771921839201715569850634726098765434576978666240077353152383916167705006185104046144992000730527283912844549512707493840386095353827871110230934905877294166714668377809121",
            "value": 5.597700242984788e+93,
            "status": "finite",
            "log2": 311.42414705714145
          }
        },
        {
          "k": 233,
          "count": "36796691295190711806873806696027717698379465266774896768998927211972216880728990126675587938045501003362626967941150360347910221765679880120231267000",
          "singleLikelihood": {
            "numerator": "606387192932618597834194651577278923964760528490846636646152523282691830216406253681307991315466857285538959414010973937175219851804453039239153768463078334020567116238332444525614142656982727723634165982265121705980874567803437211764143796301629819756569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.063871929326186e-246,
            "status": "finite",
            "log2": -814.5940720585837
          },
          "trueMass": {
            "numerator": "22313042343698817477709931507701338016715441556528413942118744182577143758456672561543987145762565002223429431437019455646010510869662641614841008394207583988687294822209349198952702295126716304258417209111278675307066075656466948504338533289900144217623780390573319508282656302212707600675189615281349074929696488156142752527032821503420714506940871909390631240120913146864764986915248526033922442923",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.231304234369882e-97,
            "status": "finite",
            "log2": -321.06913796817366
          },
          "falseMass": {
            "numerator": "4599586411898838975859225837003464712297433158346862096124865901496527110091123765834448492255687625420328370992643795043488777720709985015028908375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.011241155029414746,
            "status": "finite",
            "log2": -6.47506590958983
          },
          "noiseInformation": 1.6291881441171674,
          "jointInformation": 2.629188144117167,
          "informationDensity": -314.5940720585837,
          "difference": 1.1601925505278863,
          "margin": -1.1401925505278863,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "606387192932618597834194651577278923964760528490846636646152523282691830216406253681307991315466857285538959414010973937175219851804453039239153768463078334020567116238332444525614142656982727723634165982265121705980874567803437211764143796301629819756569",
            "value": 5.03793021868631e+94,
            "status": "finite",
            "log2": 314.59407205858383
          }
        },
        {
          "k": 234,
          "count": "41985968272717607061689343537775216348150928317217510415909032331609324389549745144540093929308328067939407694189261308602102688937762940137186958500",
          "singleLikelihood": {
            "numerator": "67376354770290955314910516841919880440528947610094070738461391475854647801822917075700887923940761920615439934890108215241691094644939226582128196495897592668951901804259160502846015850775858635959351775807235745108986063089270801307127088477958868861841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.737635477029095e-247,
            "status": "finite",
            "log2": -817.7639970600261
          },
          "trueMass": {
            "numerator": "5657722987433603292068900011924270893127277203792104959682530576209019357557389908767563692230393974922749912814514904707962779109401638472139173068616737820493359655773880566116212262866888179712248238207703139892674873884403300333008915848436218904183807563421724889564548179193535545470347224387578540366789138022497734971241940495169354960449394871611869459745758604190780865628082959592647001197",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.8288614937168017e-98,
            "status": "finite",
            "log2": -324.04873175751186
          },
          "falseMass": {
            "numerator": "10496492068179401765422335884443804087037732079304377603977258082902331097387436286135023482327082016984851923547315327150525672234440735034296739625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.01282644612330657,
            "status": "finite",
            "log2": -6.284734697485703
          },
          "noiseInformation": 1.6355279941200522,
          "jointInformation": 2.6355279941200522,
          "informationDensity": -317.7639970600261,
          "difference": 1.166532400530771,
          "margin": -1.1465324005307709,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "67376354770290955314910516841919880440528947610094070738461391475854647801822917075700887923940761920615439934890108215241691094644939226582128196495897592668951901804259160502846015850775858635959351775807235745108986063089270801307127088477958868861841",
            "value": 4.534137196817679e+95,
            "status": "finite",
            "log2": 317.763997060026
          }
        },
        {
          "k": 235,
          "count": "47524542810820780759188788855524287440885731627148330938858734468970554415405243440202829724238362834348435943209972374843231128755084859899964812600",
          "singleLikelihood": {
            "numerator": "7486261641143439479434501871324431160058771956677118970940154608428294200202546341744543102660084657846159992765567579471299010516104358509125355166210843629883544644917684500316223983419539848439927975089692860567665118121030089034125232053106540984649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.486261641143439e-248,
            "status": "finite",
            "log2": -820.9339220614684
          },
          "trueMass": {
            "numerator": "1778905809287634132021663597129853495947820019159219762737060441219384337009770349565215061623268081949706237362483409754513119672696023443958652525120629149233136723919447081072000546007792264543094599720152523890604629377365576700449611838870016818573159352092409953456465503150686117133702555185692543425018806990525292555969688146235281819715767181854323021622188875549347175244763672874283808887",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5578116185752687e-99,
            "status": "finite",
            "log2": -327.03989127001796
          },
          "falseMass": {
            "numerator": "5940567851352597594898598606940535930110716453393541367357341808621319301925655430025353715529795354293554492901246546855403891094385607487495601575",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.01451844539914701,
            "status": "finite",
            "log2": -6.105969208549482
          },
          "noiseInformation": 1.6418678441229366,
          "jointInformation": 2.6418678441229364,
          "informationDensity": -320.9339220614683,
          "difference": 1.1728722505336555,
          "margin": -1.1528722505336555,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7486261641143439479434501871324431160058771956677118970940154608428294200202546341744543102660084657846159992765567579471299010516104358509125355166210843629883544644917684500316223983419539848439927975089692860567665118121030089034125232053106540984649",
            "value": 4.080723477135911e+96,
            "status": "finite",
            "log2": 320.93392206146837
          }
        },
        {
          "k": 236,
          "count": "53364423071472486869428089180991254965401351191501303808464256924903376780010125049380296088657483691111591207417977454802780716610582575735129980250",
          "singleLikelihood": {
            "numerator": "831806849015937719937166874591603462228752439630790996771128289825366022244727371304949233628898295316239999196174175496811001168456039834347261685134538181098171627213076055590691553713282205382214219454410317840851679791225565448236136894789615664961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.318068490159377e-249,
            "status": "finite",
            "log2": -824.1038470629107
          },
          "trueMass": {
            "numerator": "177555570418539753290297873159853550443002751441504044114998499782725743618677643176942369615881748292531884331848626585667034543602427952033537822657991233350953382990076638977054668433922768400723189802576428938233607075330274133943181595970077008256831347760636021719760210295642870448373324717216016575378524991521356884117501830038549786148654728132352391988655386825076083404844585051482188081",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.438889260463494e-100,
            "status": "finite",
            "log2": -330.0426107713715
          },
          "falseMass": {
            "numerator": "26682211535736243434714044590495627482700675595750651904232128462451688390005062524690148044328741845555795603708988727401390358305291287867564990125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.016302491655821854,
            "status": "finite",
            "log2": -5.938763708460783
          },
          "noiseInformation": 1.6482076941258215,
          "jointInformation": 2.6482076941258215,
          "informationDensity": -324.10384706291075,
          "difference": 1.1792121005365401,
          "margin": -1.1592121005365401,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "831806849015937719937166874591603462228752439630790996771128289825366022244727371304949233628898295316239999196174175496811001168456039834347261685134538181098171627213076055590691553713282205382214219454410317840851679791225565448236136894789615664961",
            "value": 3.67265112942232e+97,
            "status": "finite",
            "log2": 324.10384706291075
          }
        },
        {
          "k": 237,
          "count": "59443914307463023348223694277559878948801505124710313103099425435335407046087227903107165263314665377440759825984582481299300038756091983097359978000",
          "singleLikelihood": {
            "numerator": "92422983223993079993018541621289273580972493292310110752347587758374002471636374589438803736544255035137777688463797277423444574272893314927473520570504242344241291912564006176743505968142467264690468828267813093427964421247285049804015210532179518329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.242298322399309e-250,
            "status": "finite",
            "log2": -827.273772064353
          },
          "trueMass": {
            "numerator": "2746991947403568616305592974343725815573882230459274944113900840520370154438050738321189965927847019996977113432257232689644697580346986599674987411023774355640628991407655455341211466628903589884606311994853330971265369660524634983649785591660825725492468108814340701712183281648483227752611212221344841531875914074170078375938846878233540995267513374762132646800575604888659518218411301781018381",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.4939838948071373e-101,
            "status": "finite",
            "log2": -333.05688490235366
          },
          "falseMass": {
            "numerator": "3715244644216438959263980892347492434300094070294394568943714089708462940380451743944197828957166586090047489124036405081206252422255748943584998625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.01815973754066232,
            "status": "finite",
            "log2": -5.783112838000591
          },
          "noiseInformation": 1.654547544128706,
          "jointInformation": 2.654547544128706,
          "informationDensity": -327.27377206435307,
          "difference": 1.1855519505394247,
          "margin": -1.1655519505394247,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "92422983223993079993018541621289273580972493292310110752347587758374002471636374589438803736544255035137777688463797277423444574272893314927473520570504242344241291912564006176743505968142467264690468828267813093427964421247285049804015210532179518329",
            "value": 3.305386016480088e+98,
            "status": "finite",
            "log2": 327.2737720643531
          }
        },
        {
          "k": 238,
          "count": "65688022953204937565474082331925412451826873310079043471072054157534504424877903103013380101898138631373612748882122657906369370558202485523553253000",
          "singleLikelihood": {
            "numerator": "10269220358221453332557615735698808175663610365812234528038620862041555830181819398826533748504917226126419743162644141935938286030321479436385946730056026927137921323618222908527056218682496362743385425363090343714218269027476116644890578948019946481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0269220358221454e-250,
            "status": "finite",
            "log2": -830.4436970657954
          },
          "trueMass": {
            "numerator": "674564782602370257785593792952754331928973881055825686556448105561958310566953636020983156899181854583758152037986603358895009769963825841003288225116015551385140452605241255606665374158171469784921998183610108352420907769111091503921469290949390444261922607486621479505419423971569644163339634747164979759928445753040831571308979205392550216391555571953726317561672627531015362550366174013452693",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.7456478260237025e-102,
            "status": "finite",
            "log2": -336.0827086778115
          },
          "falseMass": {
            "numerator": "8211002869150617195684260291490676556478359163759880433884006769691813053109737887876672512737267328921701593610265332238296171319775310690444156625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.020067272996614243,
            "status": "finite",
            "log2": -5.6390116120162475
          },
          "noiseInformation": 1.6608873941315907,
          "jointInformation": 2.6608873941315907,
          "informationDensity": -330.44369706579533,
          "difference": 1.1918918005423094,
          "margin": -1.1718918005423093,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10269220358221453332557615735698808175663610365812234528038620862041555830181819398826533748504917226126419743162644141935938286030321479436385946730056026927137921323618222908527056218682496362743385425363090343714218269027476116644890578948019946481",
            "value": 2.9748474148320787e+99,
            "status": "finite",
            "log2": 330.4436970657953
          }
        },
        {
          "k": 239,
          "count": "72009464492634701431607571426629531641751635176739369830212879453029456733548161560625546387854863269539274226808017306993593201197694774925401474000",
          "singleLikelihood": {
            "numerator": "1141024484246828148061957303966534241740401151756914947559846762449061758909091044314059305389435247347379971462516015770659809558924608826265105192228447436348657924846469212058561802075832929193709491707010038190468696558608457404987842105335549609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.141024484246828e-251,
            "status": "finite",
            "log2": -833.6136220672377
          },
          "trueMass": {
            "numerator": "41082281041799397382572192876248636672568841663557956735887820468905875724905126136098927733051056694780250077627264081829496178458977770883975247554717822980684983399017482326579806608424203878114728852651289722997275182591145042777179208328391514736546658103555283038219407038714841183355412436949610575802243790631496483422350662903962844419941320281700672989576529152284059736912119384361833",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.21645620835988e-103,
            "status": "finite",
            "log2": -339.12007748569727
          },
          "falseMass": {
            "numerator": "4500591530789668839475473214164345727609477198546210614388304965814341045846760097539096649240928954346204639175501081687099575074855923432837592125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.021998433159468336,
            "status": "finite",
            "log2": -5.506455418459552
          },
          "noiseInformation": 1.6672272441344753,
          "jointInformation": 2.6672272441344753,
          "informationDensity": -333.61362206723766,
          "difference": 1.198231650545194,
          "margin": -1.178231650545194,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1141024484246828148061957303966534241740401151756914947559846762449061758909091044314059305389435247347379971462516015770659809558924608826265105192228447436348657924846469212058561802075832929193709491707010038190468696558608457404987842105335549609",
            "value": 2.6773626733488714e+100,
            "status": "finite",
            "log2": 333.61362206723766
          }
        },
        {
          "k": 240,
          "count": "78310292635740237806873233926459615660404903254704064690356506405169534197733625697180281696792163805623960721653718821355532606302493067731374102975",
          "singleLikelihood": {
            "numerator": "126780498249647572006884144885170471304489016861879438617760751383229084323232338257117700598826138594153330162501779530073312173213845425140567243580938604038739769427385468006506866897314769910412165745223337576718744062067606378331982456148394401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.267804982496476e-252,
            "status": "finite",
            "log2": -836.7835470686799
          },
          "trueMass": {
            "numerator": "397128716737394174698197864470403487834832136081060248446915597866090132007416219315622968086160214716209084083730219457685129725103451785211760726362272288813288172857168995823604797214767304155109045575629133988973660098381068746846065680507784642453284361667701069369454268040910131439102320223846235566088356642771132673082723074738307496059432762723106505565906448472079244123483820715497719",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.928217918434855e-104,
            "status": "finite",
            "log2": -342.16898708617805
          },
          "falseMass": {
            "numerator": "78310292635740237806873233926459615660404903254704064690356506405169534197733625697180281696792163805623960721653718821355532606302493067731374102975",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.023923296060921813,
            "status": "finite",
            "log2": -5.385440017498183
          },
          "noiseInformation": 1.67356709413736,
          "jointInformation": 2.67356709413736,
          "informationDensity": -336.78354706868,
          "difference": 1.2045715005480786,
          "margin": -1.1845715005480786,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "126780498249647572006884144885170471304489016861879438617760751383229084323232338257117700598826138594153330162501779530073312173213845425140567243580938604038739769427385468006506866897314769910412165745223337576718744062067606378331982456148394401",
            "value": 2.409626406013984e+101,
            "status": "finite",
            "log2": 336.78354706868004
          }
        },
        {
          "k": 241,
          "count": "84484133133993617550983571870869294903341389403415173524865940520099912412492708221024370295294450578681451400954219475321321483977793351079490733500",
          "singleLikelihood": {
            "numerator": "14086722027738619111876016098352274589387668540208826513084527931469898258136926473013077844314015399350370018055753281119256908134871713904507471508993178226526641047487274222945207433034974434490240638358148619635416006896400708703553606238710489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.408672202773862e-253,
            "status": "finite",
            "log2": -839.9534720701223
          },
          "trueMass": {
            "numerator": "2380208998426060060431799095488817584994383480430513245647719120451439242091475726649653566214883721212871412212306525103691418361615893595091235335504628748074110764012538933013767802578135064092400918618339668905789571820633422641308830726879299378465973583070591932597005755892960677136159595624712338570377425705866631973294329170861225195376959850345958770104556860367464349287823729507363",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1901044992130301e-104,
            "status": "finite",
            "log2": -345.22943361082184
          },
          "falseMass": {
            "numerator": "21121033283498404387745892967717323725835347350853793381216485130024978103123177055256092573823612644670362850238554868830330370994448337769872683375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.02580936504497789,
            "status": "finite",
            "log2": -5.2759615406996545
          },
          "noiseInformation": 1.6799069441402446,
          "jointInformation": 2.6799069441402446,
          "informationDensity": -339.9534720701223,
          "difference": 1.2109113505509632,
          "margin": -1.1909113505509632,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "14086722027738619111876016098352274589387668540208826513084527931469898258136926473013077844314015399350370018055753281119256908134871713904507471508993178226526641047487274222945207433034974434490240638358148619635416006896400708703553606238710489",
            "value": 2.1686637654125855e+102,
            "status": "finite",
            "log2": 339.9534720701222
          }
        },
        {
          "k": 242,
          "count": "90418968932662590684730351713037799090766197749936074144381316507049079813370295162170710357360589668919404598541912578959596133678712718717306198250",
          "singleLikelihood": {
            "numerator": "1565191336415402123541779566483586065487518726689869612564947547941099806459658497001453093812668377705596668672861475679917434237207968211611941278777019802947404560831919358105023048114997159387804515373127624403935111877377856522617067359856721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5651913364154022e-254,
            "status": "finite",
            "log2": -843.1233970715646
          },
          "trueMass": {
            "numerator": "566091947284067544216561952003309232794807457696513251260568642972380866576393216898310627777460866661279794089060964189032210611256672581385335125707712438706331210173781068549647255158619817814446132159917331723231863270472044503304855058091587271829832101024135271389003205487857498051666974533333788512146697206445782994566787194906388728744382553939029679942222430518983715762668820883753",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4152298682101688e-105,
            "status": "finite",
            "log2": -348.3014135618523
          },
          "falseMass": {
            "numerator": "45209484466331295342365175856518899545383098874968037072190658253524539906685147581085355178680294834459702299270956289479798066839356359358653099125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.027622419614253196,
            "status": "finite",
            "log2": -5.178016490287689
          },
          "noiseInformation": 1.6862467941431292,
          "jointInformation": 2.686246794143129,
          "informationDensity": -343.12339707156457,
          "difference": 1.2172512005538478,
          "margin": -1.1972512005538478,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1565191336415402123541779566483586065487518726689869612564947547941099806459658497001453093812668377705596668672861475679917434237207968211611941278777019802947404560831919358105023048114997159387804515373127624403935111877377856522617067359856721",
            "value": 1.951797388871327e+103,
            "status": "finite",
            "log2": 343.12339707156457
          }
        },
        {
          "k": 243,
          "count": "96000386768012133319590249966929021256862876623388918227367817526002726715430189925267667786827292734902083894748203478895373672794682639625781889500",
          "singleLikelihood": {
            "numerator": "173910148490600235949086618498176229498613191854429956951660838660122200717739833000161454868074264189510740963651275075546381581911996467956882364308557755883044951203546595345002560901666351043089390597014180489326123541930872946957451928872969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7391014849060024e-255,
            "status": "finite",
            "log2": -846.293322073007
          },
          "trueMass": {
            "numerator": "33390883035960088341991994425435249671024308204321083407687862342678158110816060804701449923773411888113897319382196790299567978441751606309423059541058484038919399228357456718291950578629152491112734818760555917831234733374894257396582671464935874744420823517198651124454235714647287265050315370278947744886567873631232741792005280357990007319627503181588856292888291512093689681474292589851",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6695441517980044e-106,
            "status": "finite",
            "log2": -351.38492381147717
          },
          "falseMass": {
            "numerator": "24000096692003033329897562491732255314215719155847229556841954381500681678857547481316916946706823183725520973687050869723843418198670659906445472375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.029327507244762654,
            "status": "finite",
            "log2": -5.091601738470217
          },
          "noiseInformation": 1.6925866441460138,
          "jointInformation": 2.692586644146014,
          "informationDensity": -346.2933220730069,
          "difference": 1.2235910505567325,
          "margin": -1.2035910505567324,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "173910148490600235949086618498176229498613191854429956951660838660122200717739833000161454868074264189510740963651275075546381581911996467956882364308557755883044951203546595345002560901666351043089390597014180489326123541930872946957451928872969",
            "value": 1.7566176499841944e+104,
            "status": "finite",
            "log2": 346.29332207300695
          }
        },
        {
          "k": 244,
          "count": "101115161472865238783338910825822780586121964312339967149317742230256970351908027913089305824650058331433752298976591369164389483230464911409122727875",
          "singleLikelihood": {
            "numerator": "19323349832288915105454068722019581055401465761603328550184537628902466746415537000017939429786029354390082329294586119505153509101332940884098040478728639542560550133727399482778062322407372338121043399668242276591791504658985882995272436541441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9323349832288918e-256,
            "status": "finite",
            "log2": -849.4632470744492
          },
          "trueMass": {
            "numerator": "15631069107908456655540878993327612323229958485447210265529655049304711538214440121690842678342016129772808034756328916406172988086575888563791851187708616389803798910178262981058344806389238962142027046305032551698774729466935927415158008317829726428626870025355288413451254241647272909140129417416556594600815926271815691512833072954468910530317428629632670432189965243366262747065379226943",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.953883638488557e-107,
            "status": "finite",
            "log2": -354.47996160128855
          },
          "falseMass": {
            "numerator": "101115161472865238783338910825822780586121964312339967149317742230256970351908027913089305824650058331433752298976591369164389483230464911409122727875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.030890038368459025,
            "status": "finite",
            "log2": -5.016714526839223
          },
          "noiseInformation": 1.6989264941488984,
          "jointInformation": 2.6989264941488984,
          "informationDensity": -349.4632470744492,
          "difference": 1.229930900559617,
          "margin": -1.209930900559617,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "19323349832288915105454068722019581055401465761603328550184537628902466746415537000017939429786029354390082329294586119505153509101332940884098040478728639542560550133727399482778062322407372338121043399668242276591791504658985882995272436541441",
            "value": 1.5809558849857748e+105,
            "status": "finite",
            "log2": 349.4632470744491
          }
        },
        {
          "k": 245,
          "count": "105655025865524494402182698658818905428764174954934822817246293922227691469748796513268825678001693603457308524644928124514627378395914356411164972800",
          "singleLikelihood": {
            "numerator": "2147038870254323900606007635779953450600162862400369838909393069878051860712837444446437714420669928265564703254954013278350389900148104542677560053192071060284505570414155498086451369156374704235671488852026919621310167184331764777252492949049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.147038870254324e-257,
            "status": "finite",
            "log2": -852.6331720758915
          },
          "trueMass": {
            "numerator": "35444601151719856361770700665141978057210790216433583368547970633344017093456780321294427842045388049371446790830677814979984099969559838013133449405234957800008614308794247122581280740111652975378746136746105559407652447770829767381310676457663778749720793708288635858166109391490414759954941989606704296146974889505251001162886786744827461519994169228191996444875204633483588995613104823",
            "denominator": "15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.268454473710071e-108,
            "status": "finite",
            "log2": -357.5865245417333
          },
          "falseMass": {
            "numerator": "412714944787205056258526166636011349331110058417714151629868335633701919803706236379956350304694115638505111424394250486385263196859040454731113175",
            "denominator": "12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896",
            "value": 0.03227693805030821,
            "status": "finite",
            "log2": -4.953352465841817
          },
          "noiseInformation": 1.705266344151783,
          "jointInformation": 2.705266344151783,
          "informationDensity": -352.63317207589154,
          "difference": 1.2362707505625017,
          "margin": -1.2162707505625017,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2147038870254323900606007635779953450600162862400369838909393069878051860712837444446437714420669928265564703254954013278350389900148104542677560053192071060284505570414155498086451369156374704235671488852026919621310167184331764777252492949049",
            "value": 1.4228602964871973e+106,
            "status": "finite",
            "log2": 352.6331720758915
          }
        },
        {
          "k": 246,
          "count": "109520453641092463709579626658531792212743352087432438286169938821821387499129850044242075397928584832852088104814864519313943014190886832865231984000",
          "singleLikelihood": {
            "numerator": "238559874472702655622889737308883716733351429155596648767710341097561317856981938271826412713407769807284967028328223697594487766683122726964173339243563451142722841157128388676272374350708300470630165428002991069034463020481307197472499216561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3855987447270264e-258,
            "status": "finite",
            "log2": -855.8030970773339
          },
          "trueMass": {
            "numerator": "1632949104550779290379679976442855357649277598047075656545570462782786695362507494476979060473635763792180475458323910175229619781795439691661974633845512960976006621272363688574205345750401356589264727167164754769458242851230639689653879403198602273022367189812755581541528074946712875119875376214943016353654669706203975663330827573609937251598647362816433440549806175526344208469980439",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.612718567281247e-109,
            "status": "finite",
            "log2": -360.7046106116561
          },
          "falseMass": {
            "numerator": "855628544071034872731090833269779626662057438183065924110702647045479589836951953470641214046317069006656938318866129057140179798366303381759624875",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 0.0334578016375146,
            "status": "finite",
            "log2": -4.901513534322191
          },
          "noiseInformation": 1.7116061941546676,
          "jointInformation": 2.7116061941546676,
          "informationDensity": -355.8030970773338,
          "difference": 1.2426106005653863,
          "margin": -1.2226106005653863,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "238559874472702655622889737308883716733351429155596648767710341097561317856981938271826412713407769807284967028328223697594487766683122726964173339243563451142722841157128388676272374350708300470630165428002991069034463020481307197472499216561",
            "value": 1.2805742668384776e+107,
            "status": "finite",
            "log2": 355.80309707733386
          }
        },
        {
          "k": 247,
          "count": "112624272165333950535357186928206782275452677855092466901567467452399321557809643365333956077222107479936965095639577278970613463985770265375582688000",
          "singleLikelihood": {
            "numerator": "26506652719189183958098859700987079637039047683955183196412260121951257539664659807980712523711974423031663003147580410843831974075902525218241482138173716793635871239680932075141374927856477830070018380889221229892718113386811910830277690729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.650665271918918e-259,
            "status": "finite",
            "log2": -858.9730220787761
          },
          "trueMass": {
            "numerator": "93290389688685996346477443548467220162599304971650296167920579745125465726962866306152200036055664418176752309135014211540333653750796599568632828834179103033716977463603323638742275713135839985081700562406623416878631058077503931887558562395961533366549992400458820897784105046438387377518746189517662202840370244124113769340087765114018007626193529049791744017015467517699376732203111",
            "denominator": "3125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9852924700379516e-110,
            "status": "finite",
            "log2": -363.83421815791075
          },
          "falseMass": {
            "numerator": "439938563145835744278739011438307743263487022871454948834247919735934849835193919395835765926648857343503769904842098745978958843694415099123369875",
            "denominator": "12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896",
            "value": 0.0344059984450555,
            "status": "finite",
            "log2": -4.861196079134686
          },
          "noiseInformation": 1.7179460441575523,
          "jointInformation": 2.7179460441575523,
          "informationDensity": -358.9730220787761,
          "difference": 1.2489504505682711,
          "margin": -1.2289504505682711,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "26506652719189183958098859700987079637039047683955183196412260121951257539664659807980712523711974423031663003147580410843831974075902525218241482138173716793635871239680932075141374927856477830070018380889221229892718113386811910830277690729",
            "value": 1.15251684015463e+108,
            "status": "finite",
            "log2": 358.97302207877624
          }
        },
        {
          "k": 248,
          "count": "114894922813828586634860356019501273853586804424751589218131327683294469169862257142860850352972553195258274875793601014433730670920967246532348468000",
          "singleLikelihood": {
            "numerator": "2945183635465464884233206633443008848559894187106131466268028902439028615518295534220079169301330491447962555905286712315981330452878058357582386904241524088181763471075659119460152769761830870007779820098802358876968679265201323425586410081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9451836354654652e-260,
            "status": "finite",
            "log2": -862.1429470802185
          },
          "trueMass": {
            "numerator": "84596661617338914249673093970473859143862452178593279320730848299343164261367760485507192147390978845156696538391249446307184280999826307135713640484040548629141201785991544374916830664599883570701327033293461378029726371661679192715241277011391641368233505653462658376843650812720114718681873784759743861357038250048031482591549120336367583976440727059488570739444133627161083560026477",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3838664646935565e-111,
            "status": "finite",
            "log2": -366.9753458950456
          },
          "falseMass": {
            "numerator": "3590466337932143332339386125609414807924587638273487163066603990102952161558195535714401573530392287351821089868550031701054083466280226454135889625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.03509966776854452,
            "status": "finite",
            "log2": -4.832398814827286
          },
          "noiseInformation": 1.724285894160437,
          "jointInformation": 2.7242858941604373,
          "informationDensity": -362.14294708021856,
          "difference": 1.2552903005711558,
          "margin": -1.2352903005711557,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2945183635465464884233206633443008848559894187106131466268028902439028615518295534220079169301330491447962555905286712315981330452878058357582386904241524088181763471075659119460152769761830870007779820098802358876968679265201323425586410081",
            "value": 1.0372651561391669e+109,
            "status": "finite",
            "log2": 362.1429470802184
          }
        },
        {
          "k": 249,
          "count": "116279198992308449124436986814916951851822790020230524027988331631285968798414814457835077465658969498815603488754969701354618992257364442273702064000",
          "singleLikelihood": {
            "numerator": "327242626162829431581467403715889872062210465234014607363114322493225401724255059357786574366814499049773617322809634701775703383653117595286931878249058232020195941230628791051128085529092318889753313344311373208552075473911258158398490009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.2724262616282943e-261,
            "status": "finite",
            "log2": -865.3128720816608
          },
          "trueMass": {
            "numerator": "2378219402897077910633380151780389614486093033133144398574762803595992569596684029713053594504967276771473396661601390056828473763047325903413636479471019439373447439766830564756698050812044919658270237883751926289992307637075318670709594132850367428022628672988910074851026328068436959962944242945053040279113525101751889068838730290580614810582671041833012028819714599960351746667411",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.8051510446353247e-112,
            "status": "finite",
            "log2": -370.1279929050563
          },
          "falseMass": {
            "numerator": "908431242127409758784663959491538686342365547033050968968658840869421631237615737951836542700460699209496902255898200791832960877010659705263297375",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 0.035522555332020964,
            "status": "finite",
            "log2": -4.815120823395432
          },
          "noiseInformation": 1.7306257441633215,
          "jointInformation": 2.7306257441633215,
          "informationDensity": -365.31287208166077,
          "difference": 1.2616301505740404,
          "margin": -1.2416301505740404,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "327242626162829431581467403715889872062210465234014607363114322493225401724255059357786574366814499049773617322809634701775703383653117595286931878249058232020195941230628791051128085529092318889753313344311373208552075473911258158398490009",
            "value": 9.335386405252502e+109,
            "status": "finite",
            "log2": 365.31287208166077
          }
        },
        {
          "k": 250,
          "count": "116744315788277682920934734762176619659230081180311446124100284957811112673608473715666417775521605376810865902709989580160037468226393900042796872256",
          "singleLikelihood": {
            "numerator": "36360291795869936842385267079543319118023385026001623040346035832580600191583895484198508262979388783308179702534403855752855931517013066142992430916562025780021771247847643450125342836565813209972590371590152578728008385990139795377610001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.636029179586994e-262,
            "status": "finite",
            "log2": -868.482797083103
          },
          "trueMass": {
            "numerator": "66325896680796283952108713121875310359556594590713249338029495966954903885418632384219605802305198496626646951340216544918216323836097644639646972927469542142526145264608274639325690083758141648247314412091303722087563246322878331816456458593938024937075532991135158754178623149464186327855444997689812567784166088948858239586502366992859368606250047944454002137083151621116476490391129",
            "denominator": "1562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.2448573875709627e-113,
            "status": "finite",
            "log2": -373.2921586372099
          },
          "falseMass": {
            "numerator": "1824129934191838795639605230659009682175470018442366345689066952465798635525132401807287777742525084012669779729843587190000585441037404688168701129",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 0.03566464555334905,
            "status": "finite",
            "log2": -4.809361554106772
          },
          "noiseInformation": 1.736965594166206,
          "jointInformation": 2.736965594166206,
          "informationDensity": -368.48279708310304,
          "difference": 1.267970000576925,
          "margin": -1.247970000576925,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "36360291795869936842385267079543319118023385026001623040346035832580600191583895484198508262979388783308179702534403855752855931517013066142992430916562025780021771247847643450125342836565813209972590371590152578728008385990139795377610001",
            "value": 8.401847764727252e+110,
            "status": "finite",
            "log2": 368.48279708310315
          }
        },
        {
          "k": 251,
          "count": "116279198992308449124436986814916951851822790020230524027988331631285968798414814457835077465658969498815603488754969701354618992257364442273702064000",
          "singleLikelihood": {
            "numerator": "4040032421763326315820585231060368790891487225111291448927337314731177799064877276022056473664376531478686633614933761750317325724112562904776936768506891753335752360871960383347260315173979245552510041287794730969778709554459977264178889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.0400324217633265e-263,
            "status": "finite",
            "log2": -871.6527220845454
          },
          "trueMass": {
            "numerator": "29360733369099727291770125330622094006001148557199313562651392636987562587613383082877204870431694774956461687180264074775660169914164517326094277524333573325598116540331241540206148775457344687139138739305579336913485279470065662601353013985807005284229983617147037961123781828005394567443756085741395559001401544466072704553564571488649565562749025207814963318761908641485824032931",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.697717339055956e-114,
            "status": "finite",
            "log2": -376.46784290794085
          },
          "falseMass": {
            "numerator": "908431242127409758784663959491538686342365547033050968968658840869421631237615737951836542700460699209496902255898200791832960877010659705263297375",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 0.035522555332020964,
            "status": "finite",
            "log2": -4.815120823395432
          },
          "noiseInformation": 1.7433054441690907,
          "jointInformation": 2.7433054441690907,
          "informationDensity": -371.65272208454536,
          "difference": 1.2743098505798096,
          "margin": -1.2543098505798096,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4040032421763326315820585231060368790891487225111291448927337314731177799064877276022056473664376531478686633614933761750317325724112562904776936768506891753335752360871960383347260315173979245552510041287794730969778709554459977264178889",
            "value": 7.561662988254526e+111,
            "status": "finite",
            "log2": 371.6527220845453
          }
        },
        {
          "k": 252,
          "count": "114894922813828586634860356019501273853586804424751589218131327683294469169862257142860850352972553195258274875793601014433730670920967246532348468000",
          "singleLikelihood": {
            "numerator": "448892491307036257313398359006707643432387469456810160991926368303464199896097475113561830407152947942076292623881529083368591747123618100530770752056321305926194706763551153705251146130442138394723337920866081218864301061606664140464321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.488924913070362e-264,
            "status": "finite",
            "log2": -874.8226470859877
          },
          "trueMass": {
            "numerator": "12893867035107287646650372499691184140201562593902344051323098353809352882391062412057185207649897705404160423470697979927935418533733624010930291187934849661506051179087264803370954224142643434034648229430492513036080837015954761883133863284772388563974013969434942596683988845102898143374771191092782176704319196776106002528814071077025999691577614244701809288133536599171023252557",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.157546814042915e-115,
            "status": "finite",
            "log2": -379.6550459008149
          },
          "falseMass": {
            "numerator": "3590466337932143332339386125609414807924587638273487163066603990102952161558195535714401573530392287351821089868550031701054083466280226454135889625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.03509966776854452,
            "status": "finite",
            "log2": -4.832398814827286
          },
          "noiseInformation": 1.7496452941719753,
          "jointInformation": 2.7496452941719753,
          "informationDensity": -374.8226470859877,
          "difference": 1.2806497005826942,
          "margin": -1.2606497005826942,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "448892491307036257313398359006707643432387469456810160991926368303464199896097475113561830407152947942076292623881529083368591747123618100530770752056321305926194706763551153705251146130442138394723337920866081218864301061606664140464321",
            "value": 6.805496689429074e+112,
            "status": "finite",
            "log2": 374.8226470859877
          }
        },
        {
          "k": 253,
          "count": "112624272165333950535357186928206782275452677855092466901567467452399321557809643365333956077222107479936965095639577278970613463985770265375582688000",
          "singleLikelihood": {
            "numerator": "49876943478559584145933151000745293714709718828534462332436263144829355544010830568173536711905883104675143624875725453707621305235957566725641194672924589547354967418172350411694571792271348710524815324540675690984922340178518237829369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.987694347855959e-265,
            "status": "finite",
            "log2": -877.9925720874301
          },
          "trueMass": {
            "numerator": "175542326784508527468669981330885686581575950992961205793155928400566508280247226514612534667170324491668411562403002800951250757376259264092595093028537698509744218951122182215414835726140512277151556922417772465576858123625207561869630988945078632184099443589145024372948464733504542136415418060551711672302984233666792304959699694065790948809357067011750587585480735430084198871",
            "denominator": "3125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.617354457104273e-116,
            "status": "finite",
            "log2": -382.8537681665648
          },
          "falseMass": {
            "numerator": "439938563145835744278739011438307743263487022871454948834247919735934849835193919395835765926648857343503769904842098745978958843694415099123369875",
            "denominator": "12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896",
            "value": 0.0344059984450555,
            "status": "finite",
            "log2": -4.861196079134686
          },
          "noiseInformation": 1.7559851441748602,
          "jointInformation": 2.7559851441748604,
          "informationDensity": -377.99257208743006,
          "difference": 1.2869895505855788,
          "margin": -1.2669895505855788,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "49876943478559584145933151000745293714709718828534462332436263144829355544010830568173536711905883104675143624875725453707621305235957566725641194672924589547354967418172350411694571792271348710524815324540675690984922340178518237829369",
            "value": 6.124947020486167e+113,
            "status": "finite",
            "log2": 377.99257208743006
          }
        },
        {
          "k": 254,
          "count": "109520453641092463709579626658531792212743352087432438286169938821821387499129850044242075397928584832852088104814864519313943014190886832865231984000",
          "singleLikelihood": {
            "numerator": "5541882608728842682881461222305032634967746536503829148048473682758817282667870063130392967989542567186127069430636161523069033915106396302849021630324954394150551935352483379077174643585705412280535036060075076776102482242057581981041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.541882608728843e-266,
            "status": "finite",
            "log2": -881.1624970888723
          },
          "trueMass": {
            "numerator": "37934343583353986250884939097750450206167331491917250945677615323656979479633477645764913440762091119371913959679389056723498632608867924961391940488231681130277184672727190732464973249655911226996005739140148555553354292681912745215922007234850763035409066112439913403428058433224516104719692266803388261643776995376813385236260563809492882201147152713825367570965653238172175959",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.069494973336638e-117,
            "status": "finite",
            "log2": -386.06401062319446
          },
          "falseMass": {
            "numerator": "855628544071034872731090833269779626662057438183065924110702647045479589836951953470641214046317069006656938318866129057140179798366303381759624875",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 0.0334578016375146,
            "status": "finite",
            "log2": -4.901513534322191
          },
          "noiseInformation": 1.7623249941777446,
          "jointInformation": 2.7623249941777446,
          "informationDensity": -381.16249708887227,
          "difference": 1.2933294005884632,
          "margin": -1.2733294005884632,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5541882608728842682881461222305032634967746536503829148048473682758817282667870063130392967989542567186127069430636161523069033915106396302849021630324954394150551935352483379077174643585705412280535036060075076776102482242057581981041",
            "value": 5.51245231843755e+114,
            "status": "finite",
            "log2": 381.16249708887244
          }
        },
        {
          "k": 255,
          "count": "105655025865524494402182698658818905428764174954934822817246293922227691469748796513268825678001693603457308524644928124514627378395914356411164972800",
          "singleLikelihood": {
            "numerator": "615764734303204742542384580256114737218638504055981016449830409195424142518652229236710329776615840798458563270070684613674337101678488478094335736702772710461172437261387042119686071509522823586726115117786119641789164693561953553449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.157647343032047e-267,
            "status": "finite",
            "log2": -884.3324220903146
          },
          "trueMass": {
            "numerator": "10165412332794205465923415052338355937600396020709851560606419792613961821339690088080793797851279319570251453247417982520676104163160685773967774902075156381316108310992253725693228125724786668672132256893765299200572065359205376168972564030254126042168442553006774180003597357922909544402009038816594240048332397453917312383573092262674563204228975563835556015748965900425223623",
            "denominator": "15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.505863892988292e-118,
            "status": "finite",
            "log2": -389.2857745561564
          },
          "falseMass": {
            "numerator": "412714944787205056258526166636011349331110058417714151629868335633701919803706236379956350304694115638505111424394250486385263196859040454731113175",
            "denominator": "12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896",
            "value": 0.03227693805030821,
            "status": "finite",
            "log2": -4.953352465841817
          },
          "noiseInformation": 1.7686648441806292,
          "jointInformation": 2.768664844180629,
          "informationDensity": -384.3324220903146,
          "difference": 1.2996692505913479,
          "margin": -1.2796692505913478,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "615764734303204742542384580256114737218638504055981016449830409195424142518652229236710329776615840798458563270070684613674337101678488478094335736702772710461172437261387042119686071509522823586726115117786119641789164693561953553449",
            "value": 4.961207086593795e+115,
            "status": "finite",
            "log2": 384.3324220903146
          }
        },
        {
          "k": 256,
          "count": "101115161472865238783338910825822780586121964312339967149317742230256970351908027913089305824650058331433752298976591369164389483230464911409122727875",
          "singleLikelihood": {
            "numerator": "68418303811467193615820508917346081913182056006220112938870045466158238057628025470745592197401760088717618141118964957074926344630943164232703970744752523384574715251265226902187341278835869287414012790865124404643240521506883728161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.841830381146719e-268,
            "status": "finite",
            "log2": -887.502347091757
          },
          "trueMass": {
            "numerator": "55345022700768451981138593062731048993602156112753636274412729982009347693960534923995432899412520739882480134347053460390347678221652622547157885577964740298276589693180048062107575351168282973881608954199388851203114578066784825808850626386939130674028187233036881646686252282024729741744271433557013084707587497249105367421675724541228177445246644736438027196855481013426217503",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.918127837596057e-119,
            "status": "finite",
            "log2": -392.5190616185962
          },
          "falseMass": {
            "numerator": "101115161472865238783338910825822780586121964312339967149317742230256970351908027913089305824650058331433752298976591369164389483230464911409122727875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.030890038368459025,
            "status": "finite",
            "log2": -5.016714526839223
          },
          "noiseInformation": 1.775004694183514,
          "jointInformation": 2.7750046941835143,
          "informationDensity": -387.50234709175703,
          "difference": 1.3060091005942325,
          "margin": -1.2860091005942325,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "68418303811467193615820508917346081913182056006220112938870045466158238057628025470745592197401760088717618141118964957074926344630943164232703970744752523384574715251265226902187341278835869287414012790865124404643240521506883728161",
            "value": 4.465086377934416e+116,
            "status": "finite",
            "log2": 387.502347091757
          }
        },
        {
          "k": 257,
          "count": "96000386768012133319590249966929021256862876623388918227367817526002726715430189925267667786827292734902083894748203478895373672794682639625781889500",
          "singleLikelihood": {
            "numerator": "7602033756829688179535612101927342434798006222913345882096671718462026450847558385638399133044640009857513126790996106341658482736771462692522663416083613709397190583473914100243037919870652143046001421207236044960360057945209303129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.602033756829687e-269,
            "status": "finite",
            "log2": -890.6722720931992
          },
          "trueMass": {
            "numerator": "1459596361758268729290728135247122346999451587928219547228351287895620496900818257831267361376638030753493855683169157407614011401435715510322797674127042437611271928786849516553636876965527566539895437183814405500817115980144346897682614876611883688333644367148832589903960825423047347274708412212268827569028464043318386257121582013408957554760071478133471534374485232087764491",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.297981808791344e-120,
            "status": "finite",
            "log2": -395.76387383166957
          },
          "falseMass": {
            "numerator": "24000096692003033329897562491732255314215719155847229556841954381500681678857547481316916946706823183725520973687050869723843418198670659906445472375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.029327507244762654,
            "status": "finite",
            "log2": -5.091601738470217
          },
          "noiseInformation": 1.7813445441863984,
          "jointInformation": 2.7813445441863984,
          "informationDensity": -390.67227209319924,
          "difference": 1.312348950597117,
          "margin": -1.292348950597117,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7602033756829688179535612101927342434798006222913345882096671718462026450847558385638399133044640009857513126790996106341658482736771462692522663416083613709397190583473914100243037919870652143046001421207236044960360057945209303129",
            "value": 4.018577740140974e+117,
            "status": "finite",
            "log2": 390.67227209319935
          }
        },
        {
          "k": 258,
          "count": "90418968932662590684730351713037799090766197749936074144381316507049079813370295162170710357360589668919404598541912578959596133678712718717306198250",
          "singleLikelihood": {
            "numerator": "844670417425520908837290233547482492755334024768149542455185746495780716760839820626488792560515556650834791865666234037962053637419051410280295935120401523266354509274879344471448657763405793671777935689692893884484450882801033681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.44670417425521e-270,
            "status": "finite",
            "log2": -893.8421970946416
          },
          "trueMass": {
            "numerator": "305496912926149268921315191098234909837094518403580835466399106768850801676915449313521075636970750622824295375547032945779676804951661385881515792259148417174452264164689433697272834713715072066489742666379759290868698693518584234398686834639696585930297658240453332770596451832730840127264551393265568560959445962555011077071959026062339953321875425655842879287682955553253033",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.637422823153732e-121,
            "status": "finite",
            "log2": -399.02021358492925
          },
          "falseMass": {
            "numerator": "45209484466331295342365175856518899545383098874968037072190658253524539906685147581085355178680294834459702299270956289479798066839356359358653099125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.027622419614253196,
            "status": "finite",
            "log2": -5.178016490287689
          },
          "noiseInformation": 1.7876843941892833,
          "jointInformation": 2.7876843941892835,
          "informationDensity": -393.8421970946416,
          "difference": 1.3186888006000017,
          "margin": -1.2986888006000017,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "844670417425520908837290233547482492755334024768149542455185746495780716760839820626488792560515556650834791865666234037962053637419051410280295935120401523266354509274879344471448657763405793671777935689692893884484450882801033681",
            "value": 3.6167199661268765e+118,
            "status": "finite",
            "log2": 393.8421970946415
          }
        },
        {
          "k": 259,
          "count": "84484133133993617550983571870869294903341389403415173524865940520099912412492708221024370295294450578681451400954219475321321483977793351079490733500",
          "singleLikelihood": {
            "numerator": "93852268602835656537476692616386943639481558307572171383909527388420079640093313402943199173390617405648310207296248226440228181935450156697810659457822391474039389919431038274605406418156199296864215076632543764942716764755670409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.385226860283566e-271,
            "status": "finite",
            "log2": -897.0121220960839
          },
          "trueMass": {
            "numerator": "15858055111138593539030089284807560742294481650293127881353192586456862721109725168140733655973170667250853599502870436052913296181531972411696014956395091582200224780749644563436299013453249129148545200614307539337242617724473913497314932214244224323280144421748113798902690120875346055512231110504132902563746444216712286712015033098903103540088771559140707161651496191310003",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.929027555569297e-122,
            "status": "finite",
            "log2": -402.28808363678354
          },
          "falseMass": {
            "numerator": "21121033283498404387745892967717323725835347350853793381216485130024978103123177055256092573823612644670362850238554868830330370994448337769872683375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.02580936504497789,
            "status": "finite",
            "log2": -5.2759615406996545
          },
          "noiseInformation": 1.7940242441921677,
          "jointInformation": 2.7940242441921677,
          "informationDensity": -397.01212209608383,
          "difference": 1.3250286506028863,
          "margin": -1.3050286506028863,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "93852268602835656537476692616386943639481558307572171383909527388420079640093313402943199173390617405648310207296248226440228181935450156697810659457822391474039389919431038274605406418156199296864215076632543764942716764755670409",
            "value": 3.255047969514189e+119,
            "status": "finite",
            "log2": 397.0121220960839
          }
        },
        {
          "k": 260,
          "count": "78310292635740237806873233926459615660404903254704064690356506405169534197733625697180281696792163805623960721653718821355532606302493067731374102975",
          "singleLikelihood": {
            "numerator": "10428029844759517393052965846265215959942395367508019042656614154268897737788145933660355463710068600627590023032916469604469797992827795188645628828646932386004376657714559808289489602017355477429357230736949307215857418306185601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0428029844759517e-271,
            "status": "finite",
            "log2": -900.1820470975262
          },
          "trueMass": {
            "numerator": "32664882750294026007745739466996770417888633142911485635949738575522255690490972354888177872560120776132100149403348505032069268202984661121527688927275359583848326257783455895625197113181478975425635840581607837438251887791437719255152980031050068905218075261891413893466224949837251276738869210525607089896264043215621035022184811767826050881721315775665901076564193009450519",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.166220687573507e-123,
            "status": "finite",
            "log2": -405.5674871150243
          },
          "falseMass": {
            "numerator": "78310292635740237806873233926459615660404903254704064690356506405169534197733625697180281696792163805623960721653718821355532606302493067731374102975",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.023923296060921813,
            "status": "finite",
            "log2": -5.385440017498183
          },
          "noiseInformation": 1.8003640941950523,
          "jointInformation": 2.8003640941950523,
          "informationDensity": -400.18204709752615,
          "difference": 1.331368500605771,
          "margin": -1.311368500605771,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10428029844759517393052965846265215959942395367508019042656614154268897737788145933660355463710068600627590023032916469604469797992827795188645628828646932386004376657714559808289489602017355477429357230736949307215857418306185601",
            "value": 2.92954317256277e+120,
            "status": "finite",
            "log2": 400.18204709752627
          }
        },
        {
          "k": 261,
          "count": "72009464492634701431607571426629531641751635176739369830212879453029456733548161560625546387854863269539274226808017306993593201197694774925401474000",
          "singleLikelihood": {
            "numerator": "1158669982751057488116996205140579551104710596389779893628512683807655304198682881517817273745563177847510002559212941067163310888091977243182847647627436931778264073079395534254387733557483941936595247859661034135095268700687289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1586699827510576e-272,
            "status": "finite",
            "log2": -903.3519720989685
          },
          "trueMass": {
            "numerator": "41717602490796968081412183227326654428976542966681335422668887069632510460397154987085795494968225767729374392596869099657815157347362274740137533751309526927009356651064439202586458637524238793647044496272806944365583509312180995217309042185249130147149521407268727833290197892512453737852961954694261928347719084566565817397426324096840422582019560377606514784884026831993",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.343520498159393e-124,
            "status": "finite",
            "log2": -408.858427517428
          },
          "falseMass": {
            "numerator": "4500591530789668839475473214164345727609477198546210614388304965814341045846760097539096649240928954346204639175501081687099575074855923432837592125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.021998433159468336,
            "status": "finite",
            "log2": -5.506455418459552
          },
          "noiseInformation": 1.8067039441979371,
          "jointInformation": 2.8067039441979373,
          "informationDensity": -403.35197209896853,
          "difference": 1.3377083506086558,
          "margin": -1.3177083506086558,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1158669982751057488116996205140579551104710596389779893628512683807655304198682881517817273745563177847510002559212941067163310888091977243182847647627436931778264073079395534254387733557483941936595247859661034135095268700687289",
            "value": 2.636588855306493e+121,
            "status": "finite",
            "log2": 403.3519720989684
          }
        },
        {
          "k": 262,
          "count": "65688022953204937565474082331925412451826873310079043471072054157534504424877903103013380101898138631373612748882122657906369370558202485523553253000",
          "singleLikelihood": {
            "numerator": "128741109194561943124110689460064394567190066265531099292056964867517256022075875724201919305062575316390000284356993451907034543121330804798094183069715214642029341453266170472709748173053771326288360873295670459455029855631921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2874110919456195e-273,
            "status": "finite",
            "log2": -906.5218971004108
          },
          "trueMass": {
            "numerator": "8456748935793448152211630018092510948706864944051602346071131475523469041590262970240462360727231516952773943876719011720286533168803718119502010658662406221844984087874809982542971683094396159187144728252078761410834994678211414636926939001081036560787731650837341774517690666930005465094875239331576421437747973885843282746382435503939661575150699686385035651897610189013",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.456748935793449e-125,
            "status": "finite",
            "log2": -412.16090871242704
          },
          "falseMass": {
            "numerator": "8211002869150617195684260291490676556478359163759880433884006769691813053109737887876672512737267328921701593610265332238296171319775310690444156625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.020067272996614243,
            "status": "finite",
            "log2": -5.6390116120162475
          },
          "noiseInformation": 1.8130437942008215,
          "jointInformation": 2.8130437942008215,
          "informationDensity": -406.52189710041074,
          "difference": 1.3440482006115404,
          "margin": -1.3240482006115404,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "128741109194561943124110689460064394567190066265531099292056964867517256022075875724201919305062575316390000284356993451907034543121330804798094183069715214642029341453266170472709748173053771326288360873295670459455029855631921",
            "value": 2.3729299697758436e+122,
            "status": "finite",
            "log2": 406.5218971004108
          }
        },
        {
          "k": 263,
          "count": "59443914307463023348223694277559878948801505124710313103099425435335407046087227903107165263314665377440759825984582481299300038756091983097359978000",
          "singleLikelihood": {
            "numerator": "14304567688284660347123409940007154951910007362836788810228551651946361780230652858244657700562508368487777809372999272434114949235703422755343798118857246071336593494807352274745527574783752369587595652588407828828336650625769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.430456768828466e-274,
            "status": "finite",
            "log2": -909.6918221018532
          },
          "trueMass": {
            "numerator": "425159747933848893161463444086611239077362453883456138226643280771986825496088421402034229373274419314482509218981648666968355490953799094305339783853327562483968359297466154593415137426376486245572548653146334012627530361937962966537518268326423046359839487304454444937729273073371630902530694330569325792603299067349113074279471831419019741209519756096248095722778036541",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.503194958676978e-126,
            "status": "finite",
            "log2": -415.4749349398537
          },
          "falseMass": {
            "numerator": "3715244644216438959263980892347492434300094070294394568943714089708462940380451743944197828957166586090047489124036405081206252422255748943584998625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.01815973754066232,
            "status": "finite",
            "log2": -5.783112838000591
          },
          "noiseInformation": 1.8193836442037064,
          "jointInformation": 2.8193836442037066,
          "informationDensity": -409.6918221018532,
          "difference": 1.350388050614425,
          "margin": -1.330388050614425,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "14304567688284660347123409940007154951910007362836788810228551651946361780230652858244657700562508368487777809372999272434114949235703422755343798118857246071336593494807352274745527574783752369587595652588407828828336650625769",
            "value": 2.1356369727982593e+123,
            "status": "finite",
            "log2": 409.6918221018532
          }
        },
        {
          "k": 264,
          "count": "53364423071472486869428089180991254965401351191501303808464256924903376780010125049380296088657483691111591207417977454802780716610582575735129980250",
          "singleLikelihood": {
            "numerator": "1589396409809406705235934437778572772434445262537420978914283516882929086692294762027184188951389818720864201041444363603790549915078158083927088679873027341259621499423039141638391952753750263287510628065378647647592961180641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5893964098094067e-275,
            "status": "finite",
            "log2": -912.8617471032954
          },
          "trueMass": {
            "numerator": "339268889765394571310662748311538261485976099563566009291967870515019790042333184755158627479683627533778972003025760047378788725104546752021432756812251287234681822065654810231109049057411539529295266096955155424217928268617162367237009527250377986489164843404564658081622349220165240821211362142575522602178390164854342756243214895778813732884364249814177773354540049361",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.481722244134863e-127,
            "status": "finite",
            "log2": -418.80051081175634
          },
          "falseMass": {
            "numerator": "26682211535736243434714044590495627482700675595750651904232128462451688390005062524690148044328741845555795603708988727401390358305291287867564990125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.016302491655821854,
            "status": "finite",
            "log2": -5.938763708460783
          },
          "noiseInformation": 1.825723494206591,
          "jointInformation": 2.825723494206591,
          "informationDensity": -412.8617471032955,
          "difference": 1.3567279006173096,
          "margin": -1.3367279006173096,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1589396409809406705235934437778572772434445262537420978914283516882929086692294762027184188951389818720864201041444363603790549915078158083927088679873027341259621499423039141638391952753750263287510628065378647647592961180641",
            "value": 1.9220732755184337e+124,
            "status": "finite",
            "log2": 412.86174710329556
          }
        },
        {
          "k": 265,
          "count": "47524542810820780759188788855524287440885731627148330938858734468970554415405243440202829724238362834348435943209972374843231128755084859899964812600",
          "singleLikelihood": {
            "numerator": "176599601089934078359548270864285863603827251393046775434920390764769898521366084669687132105709979857873800115716040400421172212786462009325232075541447482362180166602559904626487994750416695920834514229486516405288106797849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7659960108993408e-276,
            "status": "finite",
            "log2": -916.0316721047378
          },
          "trueMass": {
            "numerator": "41964076511862221608656398638114795445854486109539611212214055262864083045068465200323603818241790407742053140835471368543707620086306621319212856712626469490243663525940532083093152818421972394608848427086696373226116913728328259259923610288830820131783492161151603410515133341697587439101615023924435709703406749950537154336162848744130000503516752073451758129806840487",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.392815302372445e-128,
            "status": "finite",
            "log2": -422.1376413132873
          },
          "falseMass": {
            "numerator": "5940567851352597594898598606940535930110716453393541367357341808621319301925655430025353715529795354293554492901246546855403891094385607487495601575",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.01451844539914701,
            "status": "finite",
            "log2": -6.105969208549482
          },
          "noiseInformation": 1.8320633442094756,
          "jointInformation": 2.832063344209476,
          "informationDensity": -416.03167210473777,
          "difference": 1.3630677506201943,
          "margin": -1.3430677506201942,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "176599601089934078359548270864285863603827251393046775434920390764769898521366084669687132105709979857873800115716040400421172212786462009325232075541447482362180166602559904626487994750416695920834514229486516405288106797849",
            "value": 1.72986594796659e+125,
            "status": "finite",
            "log2": 416.0316721047377
          }
        },
        {
          "k": 266,
          "count": "41985968272717607061689343537775216348150928317217510415909032331609324389549745144540093929308328067939407694189261308602102688937762940137186958500",
          "singleLikelihood": {
            "numerator": "19622177898881564262172030096031762622647472377005197270546710084974433169040676074409681345078886650874866679524004488935685801420718001036136897282383053595797796289173322736276443861157410657870501581054057378365345199761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9622177898881565e-277,
            "status": "finite",
            "log2": -919.2015971061801
          },
          "trueMass": {
            "numerator": "1647712277408123989646491842933496563036892938302724918106984626027244697676038316136348687934305889025794901937566544963704476310824069508774439653712150431112324298846453640689538999553744947825075919860546975389830822844804868993497418282017584416202025172576545831490569145413355563607164499686256038726867265871073722851962952289869766101641844066376134195573033837",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.238561387040621e-129,
            "status": "finite",
            "log2": -425.48633180366573
          },
          "falseMass": {
            "numerator": "10496492068179401765422335884443804087037732079304377603977258082902331097387436286135023482327082016984851923547315327150525672234440735034296739625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.01282644612330657,
            "status": "finite",
            "log2": -6.284734697485703
          },
          "noiseInformation": 1.8384031942123602,
          "jointInformation": 2.8384031942123604,
          "informationDensity": -419.2015971061801,
          "difference": 1.3694076006230789,
          "margin": -1.3494076006230789,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "19622177898881564262172030096031762622647472377005197270546710084974433169040676074409681345078886650874866679524004488935685801420718001036136897282383053595797796289173322736276443861157410657870501581054057378365345199761",
            "value": 1.556879353169931e+126,
            "status": "finite",
            "log2": 419.2015971061801
          }
        },
        {
          "k": 267,
          "count": "36796691295190711806873806696027717698379465266774896768998927211972216880728990126675587938045501003362626967941150360347910221765679880120231267000",
          "singleLikelihood": {
            "numerator": "2180241988764618251352447788447973624738608041889466363394078898330492574337852897156631260564320738986096297724889387659520644602302000115126321920264783732866421809908146970697382651239712295318944620117117486485038355529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.1802419887646185e-278,
            "status": "finite",
            "log2": -922.3715221076224
          },
          "trueMass": {
            "numerator": "80225691409384314102638179618484851383818757295638291892849438720427644456136697040346565330134743660431961517559419792240292854085067054734336013102089721365019535149827330820089913835950128545790213326543485693137830325777016093316353699124451675695229690050543429997668160638103454407839470022177260312544099087355649427249132508495531682851475553793594548848125243",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.022569140938432e-130,
            "status": "finite",
            "log2": -428.8465880172123
          },
          "falseMass": {
            "numerator": "4599586411898838975859225837003464712297433158346862096124865901496527110091123765834448492255687625420328370992643795043488777720709985015028908375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.011241155029414746,
            "status": "finite",
            "log2": -6.47506590958983
          },
          "noiseInformation": 1.8447430442152446,
          "jointInformation": 2.8447430442152446,
          "informationDensity": -422.3715221076223,
          "difference": 1.3757474506259635,
          "margin": -1.3557474506259635,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2180241988764618251352447788447973624738608041889466363394078898330492574337852897156631260564320738986096297724889387659520644602302000115126321920264783732866421809908146970697382651239712295318944620117117486485038355529",
            "value": 1.4011914178529378e+127,
            "status": "finite",
            "log2": 422.37152210762247
          }
        },
        {
          "k": 268,
          "count": "31991153252908342727617899105128575461650803758054294579017724031304203482126323505654522349121648260386164490784656843138295080863445567417962258250",
          "singleLikelihood": {
            "numerator": "242249109862735361261383087605330402748734226876607373710453210925610286037539210795181251173813415442899588636098820851057849400255777790569591324473864859207380201100905218966375850137745810590993846679679720720559817281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4224910986273537e-279,
            "status": "finite",
            "log2": -925.5414471090647
          },
          "trueMass": {
            "numerator": "30999313595997587372992862107971758494908408706274829205694725077710847692006385423550165376320721845573212327680505491860677006636518447351741776206943457840878195173979714893998258580060331593978639643589771420399858152414667910021078626693196086960179963153858406616014397062484419364886561385020400750949875766755997208207376242917842258879591714815767047896539273",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.749828398999398e-131,
            "status": "finite",
            "log2": -432.2184160644581
          },
          "falseMass": {
            "numerator": "15995576626454171363808949552564287730825401879027147289508862015652101741063161752827261174560824130193082245392328421569147540431722783708981129125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.009773093738259835,
            "status": "finite",
            "log2": -6.676968955393306
          },
          "noiseInformation": 1.8510828942181294,
          "jointInformation": 2.8510828942181297,
          "informationDensity": -425.54144710906473,
          "difference": 1.382087300628848,
          "margin": -1.362087300628848,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "242249109862735361261383087605330402748734226876607373710453210925610286037539210795181251173813415442899588636098820851057849400255777790569591324473864859207380201100905218966375850137745810590993846679679720720559817281",
            "value": 1.2610722760676441e+128,
            "status": "finite",
            "log2": 425.5414471090646
          }
        },
        {
          "k": 269,
          "count": "27590883102880057668428820046058845751312217367541250343242051952648978467856160049486428197011979168808885360081934526424105794648027403869766706000",
          "singleLikelihood": {
            "numerator": "26916567762526151251264787511703378083192691875178597078939245658401142893059912310575694574868157271433287626233202316784205488917308643396621258274873873245264466788989468774041761126416201176777094075519968968951090809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6916567762526155e-280,
            "status": "finite",
            "log2": -928.711372110507
          },
          "trueMass": {
            "numerator": "371325937333304433629406444085576619724222987394452724892667090976296812502348276448969349819620377332351572698362106263510794379371761657662334370095563931179457934756469116863258776878046103356208405478770496155140803973575121598765501930649602032980263912210612883876256718220589905651264056243532268392212473042512977710869025627681712312064502160122777525402577",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.426518746666089e-132,
            "status": "finite",
            "log2": -435.6018224333293
          },
          "falseMass": {
            "numerator": "1724430193930003604276801252878677859457013585471328146452628247040561154241010003092901762313248698050555335005120907901506612165501712741860419125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.008428839209205508,
            "status": "finite",
            "log2": -6.890450322822403
          },
          "noiseInformation": 1.857422744221014,
          "jointInformation": 2.8574227442210143,
          "informationDensity": -428.711372110507,
          "difference": 1.3884271506317327,
          "margin": -1.3684271506317327,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "26916567762526151251264787511703378083192691875178597078939245658401142893059912310575694574868157271433287626233202316784205488917308643396621258274873873245264466788989468774041761126416201176777094075519968968951090809",
            "value": 1.1349650484608797e+129,
            "status": "finite",
            "log2": 428.711372110507
          }
        },
        {
          "k": 270,
          "count": "23605533321352938227433546039405901365011563747785291960329311115044126022499159153449499679665804399980935252514543983718401624309979001088578181800",
          "singleLikelihood": {
            "numerator": "2990729751391794583473865279078153120354743541686510786548805073155682543673323590063966063874239696825920847359244701864911720990812071488513473141652652582807162976554385419337973458490689019641899341724440996550121201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9907297513917947e-281,
            "status": "finite",
            "log2": -931.8812971119494
          },
          "trueMass": {
            "numerator": "352988854008202980116843162896165428626730494189788392799202049446603142749145892426798023902602087093716927133010891139386804533476859847407404277745165712355780999706766938252727479254438888375654903973646027209207924765003510655616588255061967364684942237533545580968787250654141021421572004083357835385189634867574065231319937942364096889246502053450047771061709",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.05977708016406e-133,
            "status": "finite",
            "log2": -438.9968139904065
          },
          "falseMass": {
            "numerator": "2950691665169117278429193254925737670626445468473161495041163889380515752812394894181187459958225549997616906564317997964800203038747375136072272725",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.007211340212320268,
            "status": "finite",
            "log2": -7.115516878457186
          },
          "noiseInformation": 1.8637625942238987,
          "jointInformation": 2.863762594223899,
          "informationDensity": -431.8812971119493,
          "difference": 1.3947670006346173,
          "margin": -1.3747670006346173,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2990729751391794583473865279078153120354743541686510786548805073155682543673323590063966063874239696825920847359244701864911720990812071488513473141652652582807162976554385419337973458490689019641899341724440996550121201",
            "value": 1.0214685436147918e+130,
            "status": "finite",
            "log2": 431.8812971119494
          }
        },
        {
          "k": 271,
          "count": "20034216471996958643209282616469953188017194324688624172973216075498704742342459798130571683849206686330683055639649875480562264174520923433110634000",
          "singleLikelihood": {
            "numerator": "332303305710199398163762808786461457817193726854056754060978341461742504852591510007107340430471077425102316373249411318323524554534674609834830349072516953645240330728265046593108162054521002182433260191604555172235689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.3230330571019942e-282,
            "status": "finite",
            "log2": -935.0512221133916
          },
          "trueMass": {
            "numerator": "3328718180479158894090771933830178293733005890268607230168777014051608152205967825262957994981487496168712309987392577370191268663373422095272775066887581543330448131716129389017110300472363441016835912830610342686257593109914204624510672351957871827697282272764062469160355377222322055225976258268647074153079787599099426125608270879202225687851392877962730108413",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.657436360958318e-134,
            "status": "finite",
            "log2": -442.4033979822582
          },
          "falseMass": {
            "numerator": "1252138529499809915200580163529372074251074645293039010810826004718669046396403737383160730240575417895667690977478117217535141510907557714569414625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0061203256414526265,
            "status": "finite",
            "log2": -7.352175868866652
          },
          "noiseInformation": 1.8701024442267833,
          "jointInformation": 2.8701024442267835,
          "informationDensity": -435.05122211339165,
          "difference": 1.401106850637502,
          "margin": -1.381106850637502,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "332303305710199398163762808786461457817193726854056754060978341461742504852591510007107340430471077425102316373249411318323524554534674609834830349072516953645240330728265046593108162054521002182433260191604555172235689",
            "value": 9.193216892533126e+130,
            "status": "finite",
            "log2": 435.05122211339153
          }
        },
        {
          "k": 272,
          "count": "16867042544438615916525462202836835588440946692476819616216420887092659507339791521220223954417162982241641249049558167224443965058695924508023291125",
          "singleLikelihood": {
            "numerator": "36922589523355488684862534309606828646354858539339639340108704606860278316954612223011926714496786380566924041472156813147058283837186067759425594341390772627248925636473894065900906894946778020270362243511617241359521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.692258952335549e-283,
            "status": "finite",
            "log2": -938.2211471148339
          },
          "trueMass": {
            "numerator": "4982199106730244357822135770242554439639597051447784677834313308613191286635076026047172423861180631520490973771979739985449676626879174247172977060897099172697206680803879935195544175216805411718009307439279532517339796223335639601391790644433677441455409414790655591096218178979815363704238974794249542359838374903227245638982313930309213611228555353290622188409",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.227748883412806e-135,
            "status": "finite",
            "log2": -445.8215820368539
          },
          "falseMass": {
            "numerator": "16867042544438615916525462202836835588440946692476819616216420887092659507339791521220223954417162982241641249049558167224443965058695924508023291125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.005152774161370042,
            "status": "finite",
            "log2": -7.6004349220200424
          },
          "noiseInformation": 1.876442294229668,
          "jointInformation": 2.876442294229668,
          "informationDensity": -438.22114711483397,
          "difference": 1.4074467006403866,
          "margin": -1.3874467006403866,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "36922589523355488684862534309606828646354858539339639340108704606860278316954612223011926714496786380566924041472156813147058283837186067759425594341390772627248925636473894065900906894946778020270362243511617241359521",
            "value": 8.273895203279812e+131,
            "status": "finite",
            "log2": 438.2211471148339
          }
        },
        {
          "k": 273,
          "count": "14086760806344338567647638762808785766170460973936684514642285576033429918217847863876230994897850402751260823382048579220414740049020772116590880500",
          "singleLikelihood": {
            "numerator": "4102509947039498742762503812178536516261650948815515482234300511873364257439401358112436301610754042285213782385795201460784253759687340862158399371265641403027658404052654896211211877216308668918929138167957471262169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.1025099470394986e-284,
            "status": "finite",
            "log2": -941.3910721162763
          },
          "trueMass": {
            "numerator": "115582152659187598044713772447629468074667086663623820364898599345116769775416904145172498233653763124406994507530665518587965636032605995966161860997612801320203817991787202403803833124687793434239532162816008690878456811041974545087233238393455276419600462614191033248874414408567145189719829696081491214697105156485125356704107404976648423215314470955460099609",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.7791076329593805e-136,
            "status": "finite",
            "log2": -449.2513741650514
          },
          "falseMass": {
            "numerator": "3521690201586084641911909690702196441542615243484171128660571394008357479554461965969057748724462600687815205845512144805103685012255193029147720125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0043034157831222325,
            "status": "finite",
            "log2": -7.860302048775168
          },
          "noiseInformation": 1.8827821442325525,
          "jointInformation": 2.8827821442325527,
          "informationDensity": -441.39107211627623,
          "difference": 1.4137865506432712,
          "margin": -1.3937865506432712,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4102509947039498742762503812178536516261650948815515482234300511873364257439401358112436301610754042285213782385795201460784253759687340862158399371265641403027658404052654896211211877216308668918929138167957471262169",
            "value": 7.446505682951832e+132,
            "status": "finite",
            "log2": 441.3910721162763
          }
        },
        {
          "k": 274,
          "count": "11670418624234178302394211675757643682192316208334406513955470167005797778961501697444906700152598691330424112801916158697204912376378522884912882750",
          "singleLikelihood": {
            "numerator": "455834438559944304751389312464281835140183438757279498026033390208151584159933484234715144623417115809468198042866133495642694862187482318017599930140626822558628711561406099579023541912923185435436570907550830140241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.558344385599443e-285,
            "status": "finite",
            "log2": -944.5609971177186
          },
          "trueMass": {
            "numerator": "21279114885349217158272527449806885038888425525257588988509312288192625092473347316264523194679159958832431267809781891905489212797568176061896790305318820681010759678942169461203138782890615660642638930218356831167404457507322158746798009014853485601986459864899727937951737283653480906785402547453770077644965831729216103788996253795376473698196581433000358971",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.319778721337305e-137,
            "status": "finite",
            "log2": -452.69278276216346
          },
          "falseMass": {
            "numerator": "5835209312117089151197105837878821841096158104167203256977735083502898889480750848722453350076299345665212056400958079348602456188189261442456441375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0035652386232436018,
            "status": "finite",
            "log2": -8.13178564444479
          },
          "noiseInformation": 1.8891219942354371,
          "jointInformation": 2.8891219942354374,
          "informationDensity": -444.56099711771856,
          "difference": 1.4201264006461558,
          "margin": -1.4001264006461558,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "455834438559944304751389312464281835140183438757279498026033390208151584159933484234715144623417115809468198042866133495642694862187482318017599930140626822558628711561406099579023541912923185435436570907550830140241",
            "value": 6.701855114656648e+133,
            "status": "finite",
            "log2": 444.56099711771867
          }
        },
        {
          "k": 275,
          "count": "9590962214825179259422152140804463535183503502122094080559768209975673811073815940445632415398135651784275816339029279511157491625678349716328405460",
          "singleLikelihood": {
            "numerator": "50648270951104922750154368051586870571131493195253277558448154467572398239992609359412793847046346201052022004762903721738077206909720257557511103348958535839847634617934011064335949101435909492826285656394536682249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.064827095110492e-286,
            "status": "finite",
            "log2": -947.7309221191609
          },
          "trueMass": {
            "numerator": "24288282646913752918028238402304828377721132165193005613146992813795622580297861078160516373724697730788532659217225795811315970162880847424185225297990169060143594381014799486019744267339793632854729283986609312342592966649771756953415909279580241141661312775087568252409558717705488307744954422851272916907890292781832522506632087665429712402992057595242833977",
            "denominator": "5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.857656529382751e-138,
            "status": "finite",
            "log2": -456.14581660960243
          },
          "falseMass": {
            "numerator": "2397740553706294814855538035201115883795875875530523520139942052493918452768453985111408103849533912946068954084757319877789372906419587429082101365",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0029299779231020144,
            "status": "finite",
            "log2": -8.414894490441611
          },
          "noiseInformation": 1.895461844238322,
          "jointInformation": 2.895461844238322,
          "informationDensity": -447.730922119161,
          "difference": 1.4264662506490404,
          "margin": -1.4064662506490404,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "50648270951104922750154368051586870571131493195253277558448154467572398239992609359412793847046346201052022004762903721738077206909720257557511103348958535839847634617934011064335949101435909492826285656394536682249",
            "value": 6.031669603190984e+134,
            "status": "finite",
            "log2": 447.7309221191608
          }
        },
        {
          "k": 276,
          "count": "7818719196868352657137624027829725708030030028903881043934593649436690606853654299276330773422393194389355285058991260471052302955716045964398156625",
          "singleLikelihood": {
            "numerator": "5627585661233880305572707561287430063459054799472586395383128274174710915554734373268088205227371800116891333862544857970897467434413361950834567038773170648871959401992667896037327677937323276980698406266059631361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.62758566123388e-287,
            "status": "finite",
            "log2": -950.9008471206032
          },
          "trueMass": {
            "numerator": "352004096332083375623597658004417802575668582104246458161550620489791631598519725770442266285865184504181632742278634721903130002360591991654858337652031435654254991029199992551010786483185414968909120057776946555689753139851764593527766801153336828140019025725906786266805198807325917503550064099293810389969424533070036558067131705296082788449160255003519333",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.4000512041510424e-139,
            "status": "finite",
            "log2": -459.61048487660605
          },
          "falseMass": {
            "numerator": "7818719196868352657137624027829725708030030028903881043934593649436690606853654299276330773422393194389355285058991260471052302955716045964398156625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.0023885689590505553,
            "status": "finite",
            "log2": -8.709637756002735
          },
          "noiseInformation": 1.9018016942412064,
          "jointInformation": 2.9018016942412066,
          "informationDensity": -450.9008471206032,
          "difference": 1.432806100651925,
          "margin": -1.412806100651925,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5627585661233880305572707561287430063459054799472586395383128274174710915554734373268088205227371800116891333862544857970897467434413361950834567038773170648871959401992667896037327677937323276980698406266059631361",
            "value": 5.4285026428718855e+135,
            "status": "finite",
            "log2": 450.9008471206032
          }
        },
        {
          "k": 277,
          "count": "6322718772918812257035479358244976745843778795936712468741332048641944750668659072338982286088866698711969616798606651066843739574297452332220892000",
          "singleLikelihood": {
            "numerator": "625287295692653367285856395698603340384339422163620710598125363797190101728303819252009800580819088901876814873616095330099718603823706883426063004308130072096884377999185321781925297548591475220077600696228847929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.252872956926534e-288,
            "status": "finite",
            "log2": -954.0707721220455
          },
          "trueMass": {
            "numerator": "988378930735893954819568233466074856810942669366115205427538846140610277252161283751743226635000518062282963977517225452596032898726090630398719760755804271792934190615483332473756720971639753221967043884652477292349888479327056620414908787835281908134830798267688529429457036362327084847513216484178368523780975423782693905523434391124179510286450776183167",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.953515722943576e-140,
            "status": "finite",
            "log2": -463.0867971220398
          },
          "falseMass": {
            "numerator": "197584961653712883032358729945155523307618087373022264648166626520060773458395596010593196440277084334749050524956457845838866861696795385381902875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0019315503495571278,
            "status": "finite",
            "log2": -9.016024999994329
          },
          "noiseInformation": 1.908141544244091,
          "jointInformation": 2.908141544244091,
          "informationDensity": -454.07077212204547,
          "difference": 1.4391459506548097,
          "margin": -1.4191459506548096,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "625287295692653367285856395698603340384339422163620710598125363797190101728303819252009800580819088901876814873616095330099718603823706883426063004308130072096884377999185321781925297548591475220077600696228847929",
            "value": 4.885652378584696e+136,
            "status": "finite",
            "log2": 454.0707721220456
          }
        },
        {
          "k": 278,
          "count": "5071821173960054436398963657872769116270369321920456404781715995853070789205435155149615287042508179182623109878019004273043719154922057086637622000",
          "singleLikelihood": {
            "numerator": "69476366188072596365095155077622593376037713573735634510902818199687789080922646583556644508979898766875201652624010592233302067091522987047340333812014452455209375333242813531325033060954608357786400077358760881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.947636618807259e-289,
            "status": "finite",
            "log2": -957.2406971234878
          },
          "trueMass": {
            "numerator": "176185852561234493944655248651426613164540539783088481862782703988294238071328510213140479248285464051070424434041839549103849189780909840590659078056390369792025838934654502910989407495344256569543286000221824489363729121414815049042785499350334025191100933664024414118919999287609064685048319165445064892728343340930088521927838424636844149315650298232491",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.52371705122469e-141,
            "status": "finite",
            "log2": -466.57476329628525
          },
          "falseMass": {
            "numerator": "316988823372503402274935228617048069766898082620028525298857249740816924325339697196850955440156761198913944367376187767065232447182628567914851375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0015494090933497824,
            "status": "finite",
            "log2": -9.33406617279752
          },
          "noiseInformation": 1.9144813942469756,
          "jointInformation": 2.914481394246976,
          "informationDensity": -457.2406971234878,
          "difference": 1.4454858006576945,
          "margin": -1.4254858006576945,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "69476366188072596365095155077622593376037713573735634510902818199687789080922646583556644508979898766875201652624010592233302067091522987047340333812014452455209375333242813531325033060954608357786400077358760881",
            "value": 4.397087140726227e+137,
            "status": "finite",
            "log2": 457.24069712348773
          }
        },
        {
          "k": 279,
          "count": "4035642654548860519285196889060052845204379890560363160794053588098142348400023671839478830549952744725958173451326949636615432445851959402270796000",
          "singleLikelihood": {
            "numerator": "7719596243119177373899461675291399264004190397081737167878090911076421008991405175950738278775544307430577961402667843581478007454613665227482259312446050272801041703693645947925003673439400928642933341928751209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.719596243119177e-290,
            "status": "finite",
            "log2": -960.4106221249301
          },
          "trueMass": {
            "numerator": "7788382968656721954542705137518261274896057314186707083539976161967606700883100212528312702731854444312551617753342966925737658329622059858846339173341031878500544851352708013986389578647237148235485761061179816136747882308659685561031139158855864912868261105817088796176869741507210744739292484016090084863737997149836649117479117934962047221838782598091",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1153531874626888e-142,
            "status": "finite",
            "log2": -470.07439374320666
          },
          "falseMass": {
            "numerator": "126113832954651891227662402783126651412636871580011348774814174628066948387500739744983713454686023272686192920353967176144232263932873731320962375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0012328631495471386,
            "status": "finite",
            "log2": -9.663771618276598
          },
          "noiseInformation": 1.9208212442498602,
          "jointInformation": 2.9208212442498604,
          "informationDensity": -460.4106221249301,
          "difference": 1.4518256506605791,
          "margin": -1.431825650660579,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7719596243119177373899461675291399264004190397081737167878090911076421008991405175950738278775544307430577961402667843581478007454613665227482259312446050272801041703693645947925003673439400928642933341928751209",
            "value": 3.957378426653605e+138,
            "status": "finite",
            "log2": 460.4106221249301
          }
        },
        {
          "k": 280,
          "count": "3185275095197493481292958973150970281393456985049429494769592296320319496415732969559017219826926987801559844045511628106042894894761725099649449700",
          "singleLikelihood": {
            "numerator": "857732915902130819322162408365711029333798933009081907542010101230713445443489463994526475419504923047841995711407538175719778606068185025275806590271783363644560189299293994213889297048822325404770371325416801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.57732915902131e-291,
            "status": "finite",
            "log2": -963.5805471263725
          },
          "trueMass": {
            "numerator": "27321152953541834157999013260183107011936962959289877229560868758648271125320081697916779481011743368144030278150615804612508293505499606806429221544577270557914609716649975731603049156841895393016545288801916497876528285558949055698220345303288034059426757212469470221509336712271326580752121253453268392934699958255776181824807699422644641841688427844097",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.7321152953541837e-143,
            "status": "finite",
            "log2": -473.5856992022027
          },
          "falseMass": {
            "numerator": "796318773799373370323239743287742570348364246262357373692398074080079874103933242389754304956731746950389961011377907026510723723690431274912362425",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0009730812716068488,
            "status": "finite",
            "log2": -10.005152075830154
          },
          "noiseInformation": 1.927161094252745,
          "jointInformation": 2.927161094252745,
          "informationDensity": -463.58054712637255,
          "difference": 1.4581655006634637,
          "margin": -1.4381655006634637,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "857732915902130819322162408365711029333798933009081907542010101230713445443489463994526475419504923047841995711407538175719778606068185025275806590271783363644560189299293994213889297048822325404770371325416801",
            "value": 3.561640583988244e+139,
            "status": "finite",
            "log2": 463.5805471263725
          }
        },
        {
          "k": 281,
          "count": "2493809683072770697097690299264104846642564187583183234339182580749004587941143250188554406981935719986986354768727965065229312728994944917875014000",
          "singleLikelihood": {
            "numerator": "95303657322458979924684712040634558814866548112120211949112233470079271715943273777169608379944991449760221745711948686191086511785353891697311843363531484849395576588810443801543255227646925044974485702824089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.530365732245898e-292,
            "status": "finite",
            "log2": -966.7504721278148
          },
          "trueMass": {
            "numerator": "118834591731498685542898041068412090601544718288726235478517025047501376978458243842263572278026562692599578117697419474392088267520955189747220813361150642996069872235330064471187639669933115588446816202776228341890791277638766157643504862924542655062749833664359103375485450310393274965707130797938296687339541139111719256651990784361048264238265206123",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.376691834629974e-144,
            "status": "finite",
            "log2": -477.10869081034116
          },
          "falseMass": {
            "numerator": "155863105192048168568605643704006552915160261723948952146198911296812786746321453136784650436370982499186647173045497816576832045562184057367188375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0007618429884466431,
            "status": "finite",
            "log2": -10.358218682526399
          },
          "noiseInformation": 1.9335009442556295,
          "jointInformation": 2.9335009442556297,
          "informationDensity": -466.7504721278147,
          "difference": 1.4645053506663483,
          "margin": -1.4445053506663483,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "95303657322458979924684712040634558814866548112120211949112233470079271715943273777169608379944991449760221745711948686191086511785353891697311843363531484849395576588810443801543255227646925044974485702824089",
            "value": 3.2054765255894197e+140,
            "status": "finite",
            "log2": 466.7504721278149
          }
        },
        {
          "k": 282,
          "count": "1936681987918215541363099913258294189413906230782684852199577961645503562975568694295366720315758591053723445724650440954912125842730116797924213000",
          "singleLikelihood": {
            "numerator": "10589295258050997769409412448959395423874060901346690216568025941119919079549252641907734264438332383306691305079105409576787390198372654633034649262614609427710619620978938200171472803071880560552720633647121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0589295258050999e-292,
            "status": "finite",
            "log2": -969.920397129257
          },
          "trueMass": {
            "numerator": "20508097391015139585417392430246058188919064858338097375725160350987235270514070450319718147271723585247681330004519200072393483520164843620678769208898337916579434215553415381552476822470726803679947004261618602737654286684704325077957104003526273805155408646567883088440751472006404426705958742906609120982946815969634765332376660185240007776343640773",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.050809739101514e-145,
            "status": "finite",
            "log2": -480.6433801045812
          },
          "falseMass": {
            "numerator": "242085248489776942670387489157286773676738278847835606524947245205687945371946086786920840039469823881715430715581305119364015730341264599740526625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.0005916440229426058,
            "status": "finite",
            "log2": -10.722982975324044
          },
          "noiseInformation": 1.939840794258514,
          "jointInformation": 2.9398407942585143,
          "informationDensity": -469.920397129257,
          "difference": 1.470845200669233,
          "margin": -1.450845200669233,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10589295258050997769409412448959395423874060901346690216568025941119919079549252641907734264438332383306691305079105409576787390198372654633034649262614609427710619620978938200171472803071880560552720633647121",
            "value": 2.8849288730304777e+141,
            "status": "finite",
            "log2": 469.920397129257
          }
        },
        {
          "k": 283,
          "count": "1491861036629579462958147636361512838488450736079948048690840973988409105048317934121519240384577289221596152537009880311557750649170195978612998000",
          "singleLikelihood": {
            "numerator": "1176588362005666418823268049884377269319340100149632246285336215679991008838805849100859362715370264811854589453233934397420821133152517181448294362512734380856735513442104244463496978119097840061413403738569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1765883620056665e-293,
            "status": "finite",
            "log2": -973.0903221306994
          },
          "trueMass": {
            "numerator": "877653166714036205265212318373309910715421307247291956793891824993171827438568385977561554005739250409107681574594657561009379546014121694014128717616772215511251797995807725398201795700553286847708764611117560933806170886781614225951049994654245718398876930693325189100919477993206942485649588919050017348700904177734664083717729077420950470208659931",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7553063334280723e-146,
            "status": "finite",
            "log2": -484.18977902407846
          },
          "falseMass": {
            "numerator": "93241314789348716434884227272594552405528171004996753043177560874275569065519870882594952524036080576349759533563117519472359415573137248663312375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0004557540530087918,
            "status": "finite",
            "log2": -11.099456893379
          },
          "noiseInformation": 1.946180644261399,
          "jointInformation": 2.946180644261399,
          "informationDensity": -473.09032213069946,
          "difference": 1.4771850506721176,
          "margin": -1.4571850506721176,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1176588362005666418823268049884377269319340100149632246285336215679991008838805849100859362715370264811854589453233934397420821133152517181448294362512734380856735513442104244463496978119097840061413403738569",
            "value": 2.59643598572743e+142,
            "status": "finite",
            "log2": 473.0903221306994
          }
        },
        {
          "k": 284,
          "count": "1139907904748657547401119848910029175887302146934326501992649617448890055617904900367498856209342506201008327818771633900028281305880044110419086500",
          "singleLikelihood": {
            "numerator": "130732040222851824313696449987153029924371122238848027365037357297776778759867316566762151412818918312428287717025992710824535681461390797938699373612526042317415057049122693829277442013233093340157044859841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3073204022285183e-294,
            "status": "finite",
            "log2": -976.2602471321417
          },
          "trueMass": {
            "numerator": "298044972107896489111973510308307121479258878986952041665531339629919071289779874424304940875188446539556129736599437700687066293403856662912466246827604962075026040946933139923958982264507141229973085947750408016644662100831940981269761891768343225183969161127467239491235566079070276243170517676735295406366347741108641793688180297027145934327510493",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4902248605394825e-147,
            "status": "finite",
            "log2": -487.7478999125808
          },
          "falseMass": {
            "numerator": "284976976187164386850279962227507293971825536733581625498162404362222513904476225091874714052335626550252081954692908475007070326470011027604771625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0003482346109257317,
            "status": "finite",
            "log2": -11.487652780439191
          },
          "noiseInformation": 1.9525204942642833,
          "jointInformation": 2.9525204942642835,
          "informationDensity": -476.26024713214167,
          "difference": 1.4835249006750022,
          "margin": -1.4635249006750022,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "130732040222851824313696449987153029924371122238848027365037357297776778759867316566762151412818918312428287717025992710824535681461390797938699373612526042317415057049122693829277442013233093340157044859841",
            "value": 2.336792387154687e+143,
            "status": "finite",
            "log2": 476.2602471321418
          }
        },
        {
          "k": 285,
          "count": "863930201493719404346111885489706322777744785044963243615481815329685094784096345541683343653396425752343153715279554113705644779193296588949202400",
          "singleLikelihood": {
            "numerator": "14525782246983536034855161109683669991596791359872003040559706366419642084429701840751350156979879812492031968558443634536059520162376755326522152623614004701935006338791410425475271334803677037795227206649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4525782246983535e-295,
            "status": "finite",
            "log2": -979.430172133584
          },
          "trueMass": {
            "numerator": "15686577479362973111156500542542480077855730472997475877133228401574687962619993390752891625009918238924006828242075668457214015442308245416445591938294998003948738997207007364418893803395112696314372944618442527191824321096417946382619046935175959220208903217235117867959766635740540854903711456670278705598228828479402199667798963001428733385658447",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.254926198349038e-148,
            "status": "finite",
            "log2": -491.31775552091176
          },
          "falseMass": {
            "numerator": "26997818796678731385815996421553322586804524532655101362983806729052659212003010798177604489168638304760723553602486066053301399349790518404662575",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.0002639251788068704,
            "status": "finite",
            "log2": -11.887583387327822
          },
          "noiseInformation": 1.9588603442671682,
          "jointInformation": 2.958860344267168,
          "informationDensity": -479.43017213358405,
          "difference": 1.4898647506778866,
          "margin": -1.4698647506778866,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "14525782246983536034855161109683669991596791359872003040559706366419642084429701840751350156979879812492031968558443634536059520162376755326522152623614004701935006338791410425475271334803677037795227206649",
            "value": 2.1031131484392183e+144,
            "status": "finite",
            "log2": 479.43017213358394
          }
        },
        {
          "k": 286,
          "count": "649458018605418433337112081749254753137115834911423417403246819216371662162869630389726989110070739638999223946801063407156341354987967715468806000",
          "singleLikelihood": {
            "numerator": "1613975805220392892761684567742629999066310151096889226728856262935515787158855760083483350775542201388003552062049292726228835573597417258502461402623778300215000704310156713941696814978186337532803022961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6139758052203929e-296,
            "status": "finite",
            "log2": -982.6000971350263
          },
          "trueMass": {
            "numerator": "524104764267760562377412217039103840985078795912114578645476939601951501470598069776514638597844976125666117804513794672618650088593049380658244330494704673014604333240016563069162730027964138260697775150421933697939740331892751899341584318735482708989108654499697022783426546493273703776891680370491052323794747183072489965590796743637479048627283",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0482095285355211e-149,
            "status": "finite",
            "log2": -494.8993590095431
          },
          "falseMass": {
            "numerator": "40591126162838652083569505109328422071069739681963963587702926201023228885179351899357936819379421227437451496675066462947271334686747982216800375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00019840529176040956,
            "status": "finite",
            "log2": -12.29926187451673
          },
          "noiseInformation": 1.9652001942700525,
          "jointInformation": 2.9652001942700528,
          "informationDensity": -482.60009713502626,
          "difference": 1.4962046006807712,
          "margin": -1.4762046006807712,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1613975805220392892761684567742629999066310151096889226728856262935515787158855760083483350775542201388003552062049292726228835573597417258502461402623778300215000704310156713941696814978186337532803022961",
            "value": 1.8928018335952963e+145,
            "status": "finite",
            "log2": 482.6000971350263
          }
        },
        {
          "k": 287,
          "count": "484264864047245800467393677680628979691089855996671119596846060321615106978585717433454967489739157779602208796569434038785564634032840038711932000",
          "singleLikelihood": {
            "numerator": "179330645024488099195742729749181111007367794566321025192095140326168420795428417787053705641726911265333728006894365858469870619288601917611384600291530922246111189367795190437966312775354037503644780329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.793306450244881e-297,
            "status": "finite",
            "log2": -985.7700221364687
          },
          "trueMass": {
            "numerator": "21710882608072156474790207984198262092684255192642764194760368771741699828631046638051516194335815890610249556749119639942003700921198716117085614929513511425692088136539594366395823504836299958921665482421659661509698883280110125137262687613122977104852739462434216584524444628254079095674568253829865504702298857370792267254438734637712062796407",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.684353043228863e-151,
            "status": "finite",
            "log2": -498.4927239512599
          },
          "falseMass": {
            "numerator": "15133277001476431264606052427519655615346557999895972487401439385050472093080803669795467734054348680612569024892794813712048894813526251209747875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 0.00014793983427431235,
            "status": "finite",
            "log2": -12.722701814791264
          },
          "noiseInformation": 1.9715400442729374,
          "jointInformation": 2.9715400442729374,
          "informationDensity": -485.7700221364687,
          "difference": 1.5025444506836558,
          "margin": -1.4825444506836558,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "179330645024488099195742729749181111007367794566321025192095140326168420795428417787053705641726911265333728006894365858469870619288601917611384600291530922246111189367795190437966312775354037503644780329",
            "value": 1.7035216502357668e+146,
            "status": "finite",
            "log2": 485.7700221364687
          }
        },
        {
          "k": 288,
          "count": "358154222368275539929009907451298516229868539330871348868500732112861172869579020185159403039286252107830800255796143924518490510586787945297366375",
          "singleLikelihood": {
            "numerator": "19925627224943122132860303305464567889707532729591225021343904480685380088380935309672633960191879029481525334099373984274430068809844657512376066699058991360679021040866132270885145863928226389293864481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9925627224943123e-298,
            "status": "finite",
            "log2": -988.939947137911
          },
          "trueMass": {
            "numerator": "57091580191597152211485361736225059577058596988060602141777266029394840290103863381542875918438626971604730315895833127254898620940929957196780691110942937452745861396085600000522350697902862854942157379701401332118097063440289588323912993353027087942390537104919606574119835874297763547884975778589646327180119217530601887965375931825094683649811",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.136447523949644e-152,
            "status": "finite",
            "log2": -502.0978643339188
          },
          "falseMass": {
            "numerator": "358154222368275539929009907451298516229868539330871348868500732112861172869579020185159403039286252107830800255796143924518490510586787945297366375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.00010941383576537683,
            "status": "finite",
            "log2": -13.157917196007759
          },
          "noiseInformation": 1.977879894275822,
          "jointInformation": 2.977879894275822,
          "informationDensity": -488.939947137911,
          "difference": 1.5088843006865404,
          "margin": -1.4888843006865404,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "19925627224943122132860303305464567889707532729591225021343904480685380088380935309672633960191879029481525334099373984274430068809844657512376066699058991360679021040866132270885145863928226389293864481",
            "value": 1.5331694852121901e+147,
            "status": "finite",
            "log2": 488.93994713791085
          }
        },
        {
          "k": 289,
          "count": "262729048934513544861419032455623825054436437156210124429488426325005427848964540758663645136085416771142317142660147100338823488734944790321943500",
          "singleLikelihood": {
            "numerator": "2213958580549235792540033700607174209967503636621247224593767164520597787597881701074737106687986558831280592677708220474936674312204961945819562966562110151186557893429570252320571762658691821032651609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.213958580549236e-299,
            "status": "finite",
            "log2": -992.1098721393532
          },
          "trueMass": {
            "numerator": "1163342464496212636373980842760449118640563491106194507310340292025346611063246735571615695377642148979258249420407210974436611653160049108584919888073808414069792638982136409084077119180642726379059723615599488889757456502243501799756781487009010250267857926397823586477643714470504216854249794796328817893328073252257554810520924408585166564183",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.816712322481064e-153,
            "status": "finite",
            "log2": -505.7147945632985
          },
          "falseMass": {
            "numerator": "65682262233628386215354758113905956263609109289052531107372106581251356962241135189665911284021354192785579285665036775084705872183736197580485875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.00008026205253377125,
            "status": "finite",
            "log2": -13.604922423945254
          },
          "noiseInformation": 1.9842197442787064,
          "jointInformation": 2.9842197442787066,
          "informationDensity": -492.1098721393532,
          "difference": 1.515224150689425,
          "margin": -1.495224150689425,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2213958580549235792540033700607174209967503636621247224593767164520597787597881701074737106687986558831280592677708220474936674312204961945819562966562110151186557893429570252320571762658691821032651609",
            "value": 1.379852536690971e+148,
            "status": "finite",
            "log2": 492.10987213935323
          }
        },
        {
          "k": 290,
          "count": "191158032155801234364687640855643541677538235310208056050420889498538431986660407241648376288669044616244927300349279441970661228010597761234241650",
          "singleLikelihood": {
            "numerator": "245995397838803976948892633400797134440833737402360802732640796057844198621986855674970789631998506536808954741967580052770741590244995771757729218506901127909617543714396694702285751406521313448072401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.45995397838804e-300,
            "status": "finite",
            "log2": -995.2797971407956
          },
          "trueMass": {
            "numerator": "940479923404984161972835087442355417751566653729528892883072036848077145342318242167091615803381200898940577117647208872054118999297970735292789641316373851987456884387857403512414835812703506766213033267783494849574035716373099156125214152332954646768268285325443589068133424342055133165696194260633642051694342744162237797011168774756590594033",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.7023996170249215e-154,
            "status": "finite",
            "log2": -509.3435294660485
          },
          "falseMass": {
            "numerator": "95579016077900617182343820427821770838769117655104028025210444749269215993330203620824188144334522308122463650174639720985330614005298880617120825",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.00005839756236077839,
            "status": "finite",
            "log2": -14.063732325253
          },
          "noiseInformation": 1.9905595942815912,
          "jointInformation": 2.9905595942815912,
          "informationDensity": -495.2797971407956,
          "difference": 1.5215640006923097,
          "margin": -1.5015640006923097,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "245995397838803976948892633400797134440833737402360802732640796057844198621986855674970789631998506536808954741967580052770741590244995771757729218506901127909617543714396694702285751406521313448072401",
            "value": 1.241867283021874e+149,
            "status": "finite",
            "log2": 495.2797971407956
          }
        },
        {
          "k": 291,
          "count": "137949095370165839232248812988608741416780169811490349727107858401007115866662149555828725156771475496259225886849995473587075112997338590581411500",
          "singleLikelihood": {
            "numerator": "27332821982089330772099181488977459382314859711373422525848977339760466513554095074996754403555389615200994971329731116974526843360555085750858802056322347545513060412710743855809527934057923716452489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.733282198208933e-301,
            "status": "finite",
            "log2": -998.4497221422379
          },
          "trueMass": {
            "numerator": "7541076132686012753504977791634006786095036169652579897115125152275532665975060361019062211481865299304219976888351044793102901483488883329953639735641027450071246495664377805941470619345847133291513439718767999939310710211468149018186138678500209080616125999173087197568080149363557768797105795904278916794799999094084380961143392237452616447",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.770538066343006e-155,
            "status": "finite",
            "log2": -512.9840842927331
          },
          "falseMass": {
            "numerator": "34487273842541459808062203247152185354195042452872587431776964600251778966665537388957181289192868874064806471712498868396768778249334647645352875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.000042142570775819455,
            "status": "finite",
            "log2": -14.534362150495156
          },
          "noiseInformation": 1.9968994442844759,
          "jointInformation": 2.996899444284476,
          "informationDensity": -498.44972214223793,
          "difference": 1.5279038506951943,
          "margin": -1.5079038506951943,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "27332821982089330772099181488977459382314859711373422525848977339760466513554095074996754403555389615200994971329731116974526843360555085750858802056322347545513060412710743855809527934057923716452489",
            "value": 1.1176805547196865e+150,
            "status": "finite",
            "log2": 498.449722142238
          }
        },
        {
          "k": 292,
          "count": "98737537439605001368287677789791873137352929762333846208786104129487969918261607045096587526593282118897870583396058404040064036357684128190119875",
          "singleLikelihood": {
            "numerator": "3036980220232147863566575720997495486923873301263713613983219704417829612617121674999639378172821068355666107925525679663836315928950565083428755784035816393945895601412304872867725326006435968494721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.036980220232148e-302,
            "status": "finite",
            "log2": -1001.6196471436803
          },
          "trueMass": {
            "numerator": "2398911585588092337111933574507621641238755798260866359965085474620374927227987238132395741552069783188100418827496755497349324825036798502222695136604223344086591350979992330961594154403777855187102448860308237423616344648701435532421465728777083253955510401563432609272037673085210918841088449534237889817523896211055761980028872112066357439",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9986394819851153e-156,
            "status": "finite",
            "log2": -516.6364747209745
          },
          "falseMass": {
            "numerator": "98737537439605001368287677789791873137352929762333846208786104129487969918261607045096587526593282118897870583396058404040064036357684128190119875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 0.000030163689356665297,
            "status": "finite",
            "log2": -15.016827577294293
          },
          "noiseInformation": 2.0032392942873605,
          "jointInformation": 3.0032392942873605,
          "informationDensity": -501.61964714368025,
          "difference": 1.5342437006980791,
          "margin": -1.5142437006980791,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3036980220232147863566575720997495486923873301263713613983219704417829612617121674999639378172821068355666107925525679663836315928950565083428755784035816393945895601412304872867725326006435968494721",
            "value": 1.005912499247718e+151,
            "status": "finite",
            "log2": 501.61964714368014
          }
        },
        {
          "k": 293,
          "count": "70093541936647919060081354881490476493410953551417883998046108050967569088731789301638533124680555224337054885141229174199089827858014671206638000",
          "singleLikelihood": {
            "numerator": "337442246692460873729619524555277276324874811251523734887024411601981068068569074999959930908091229817296234213947297740426257325438951675936528420448424043771766177934700541429747258445159552054969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.374422466924609e-303,
            "status": "finite",
            "log2": -1004.7895721451225
          },
          "trueMass": {
            "numerator": "11826261134867349405557503401061464291279418042241661994518813488837646588533877169405060538557795669869285341204951771507600008617928851167574909660923361195724568662396625067311613199563561667589052648913161580017828016849874350368403130251840000872742372097203118665353238433867175557426677984051988080253246359781465644952739983866842111",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.36525222697347e-157,
            "status": "finite",
            "log2": -520.300716858698
          },
          "falseMass": {
            "numerator": "4380846371040494941255084680093154780838184596963617749877881753185473068045736831352408320292534701521065930321326823387443114241125916950414875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00002141313101087502,
            "status": "finite",
            "log2": -15.511144713575447
          },
          "noiseInformation": 2.009579144290245,
          "jointInformation": 3.009579144290245,
          "informationDensity": -504.7895721451225,
          "difference": 1.5405835507009638,
          "margin": -1.5205835507009637,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "337442246692460873729619524555277276324874811251523734887024411601981068068569074999959930908091229817296234213947297740426257325438951675936528420448424043771766177934700541429747258445159552054969",
            "value": 9.053212493229461e+151,
            "status": "finite",
            "log2": 504.7895721451225
          }
        },
        {
          "k": 294,
          "count": "49351575445190881787200137620641253857605671378039122406787565872620023133902994508296518220438350106931191704844334826732012225736765431767939000",
          "singleLikelihood": {
            "numerator": "37493582965828985969957724950586364036097201250169303876336045733553452007618786111106658989787914424144026023771921971158473036159883519548503157827602671530196241992744504603305250938351061339441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.749358296582899e-304,
            "status": "finite",
            "log2": -1007.9594971465648
          },
          "trueMass": {
            "numerator": "1850367388448632900189269239621861759860044999806518543360086464239903888001899148954533281543056465353697706447033270371937416314369820250708999470756716377562347477789948139783449684285455226901688509693896029526598941411885102438593687046206258639952888151263072988456629142713911821910296555327862080583841267176691903632061358019982099",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8503673884486327e-158,
            "status": "finite",
            "log2": -523.9768272474773
          },
          "falseMass": {
            "numerator": "6168946930648860223400017202580156732200708922254890300848445734077502891737874313537064777554793763366398963105541853341501528217095678970992375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.00001507659224235078,
            "status": "finite",
            "log2": -16.01733010091249
          },
          "noiseInformation": 2.0159189942931297,
          "jointInformation": 3.0159189942931297,
          "informationDensity": -507.95949714656484,
          "difference": 1.5469234007038484,
          "margin": -1.5269234007038484,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "37493582965828985969957724950586364036097201250169303876336045733553452007618786111106658989787914424144026023771921971158473036159883519548503157827602671530196241992744504603305250938351061339441",
            "value": 8.147891243906515e+152,
            "status": "finite",
            "log2": 507.9594971465649
          }
        },
        {
          "k": 295,
          "count": "34462456073590920841231282541871519642938197640257827850163520575456694120623785995624009333594237701789238953213332116294218706785673487946425200",
          "singleLikelihood": {
            "numerator": "4165953662869887329995302772287373781788577916685478208481782859283716889735420679011850998865323824904891780419102441239830337351098168838722573091955852392244026888082722733700583437594562371049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.165953662869887e-305,
            "status": "finite",
            "log2": -1011.1294221480072
          },
          "trueMass": {
            "numerator": "358922487778171730168539984333430812176242250433279491461561027903408852098296821736943367229632421716442304640384984648417238946101867204939787091314391312408515612452664140108654081885879262468689108283373429456195274887804454898634933645497635856714025385273251445971813185874826586924219482483558934651856215667041932342942221988810087",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.435689951112687e-159,
            "status": "finite",
            "log2": -527.6648228659856
          },
          "falseMass": {
            "numerator": "2153903504599432552576955158866969977683637352516114240635220035966043382538986624726500583349639856361827434575833257268388669174104592996651575",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.00001052806102347207,
            "status": "finite",
            "log2": -16.53540071797846
          },
          "noiseInformation": 2.0222588442960143,
          "jointInformation": 3.0222588442960143,
          "informationDensity": -511.12942214800717,
          "difference": 1.553263250706733,
          "margin": -1.533263250706733,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4165953662869887329995302772287373781788577916685478208481782859283716889735420679011850998865323824904891780419102441239830337351098168838722573091955852392244026888082722733700583437594562371049",
            "value": 7.333102119515864e+153,
            "status": "finite",
            "log2": 511.12942214800705
          }
        },
        {
          "k": 296,
          "count": "23867579375291009366393286895552910563521386879232617261092978776921021265972554490212574031712225435360790491245719877838901469226564408881814750",
          "singleLikelihood": {
            "numerator": "462883740318876369999478085809708197976508657409497578720198095475968543303935631001316777651702647211654642268789160137758926372344240982080285899106205821360447432009191414855620381954951374561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.6288374031887636e-306,
            "status": "finite",
            "log2": -1014.2993471494494
          },
          "trueMass": {
            "numerator": "44191657654369492303033451524536526424101898701995372822594601033152441249339848922566600770014802673796199670437790902657978368739268935142736548780450582008255676007685374607972424496459608892541301620475407230342361172372320272804901740136345555931756879267877805660193215077681351543222218564041790752931245772818976654836730034658299",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1047914413592374e-160,
            "status": "finite",
            "log2": -531.3647211335515
          },
          "falseMass": {
            "numerator": "11933789687645504683196643447776455281760693439616308630546489388460510632986277245106287015856112717680395245622859938919450734613282204440907375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0000072913936142289675,
            "status": "finite",
            "log2": -17.065373984101996
          },
          "noiseInformation": 2.028598694298899,
          "jointInformation": 3.028598694298899,
          "informationDensity": -514.2993471494494,
          "difference": 1.5596031007096176,
          "margin": -1.5396031007096176,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "462883740318876369999478085809708197976508657409497578720198095475968543303935631001316777651702647211654642268789160137758926372344240982080285899106205821360447432009191414855620381954951374561",
            "value": 6.599791907564277e+154,
            "status": "finite",
            "log2": 514.2993471494494
          }
        },
        {
          "k": 297,
          "count": "16393892904240289261765085948460585033529841492806242159134571281117469152385188942772273072287185147520542963683928804980255554620266462666297000",
          "singleLikelihood": {
            "numerator": "51431526702097374444386453978856466441834295267721953191133121719552060367103959000146308627966960801294960252087684459750991819149360109120031766567356202373383048001021268317291153550550152729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.143152670209738e-307,
            "status": "finite",
            "log2": -1017.4692721508918
          },
          "trueMass": {
            "numerator": "843162940655759112403556314160629572625962152563323611654442443954648149538470742630339184164143260891734449379845617671364345980434985294530326968875039162896011775679743398805310007227624412091135945620742898895421032469505549537242794144015571774231051568522921095649028794972595932923431779560842247811258336855131990047389910874513",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.431629406557592e-162,
            "status": "finite",
            "log2": -535.0765399138229
          },
          "falseMass": {
            "numerator": "2049236613030036157720635743557573129191230186600780269891821410139683644048148617846534134035898143440067870460491100622531944327533307833287125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.00000500822995724818,
            "status": "finite",
            "log2": -17.607267762931258
          },
          "noiseInformation": 2.0349385443017836,
          "jointInformation": 3.0349385443017836,
          "informationDensity": -517.4692721508918,
          "difference": 1.5659429507125022,
          "margin": -1.5459429507125022,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "51431526702097374444386453978856466441834295267721953191133121719552060367103959000146308627966960801294960252087684459750991819149360109120031766567356202373383048001021268317291153550550152729",
            "value": 5.93981271680785e+155,
            "status": "finite",
            "log2": 517.4692721508918
          }
        },
        {
          "k": 298,
          "count": "11167651877720733960195679354152680408746838332347876370148718020358544422597964279807957831121807332035806112845092440976482810697698295037779500",
          "singleLikelihood": {
            "numerator": "5714614078010819382709605997650718493537143918635772576792569079950228929678217666682923180885217866810551139120853828861221313238817789902225751840817355819264783111224585368587905950061128081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.714614078010819e-308,
            "status": "finite",
            "log2": -1020.6391971523341
          },
          "trueMass": {
            "numerator": "127637641277493735882119263068313052381111347479757414739635955348839354478978046796389898870485519732305811501945309759348965126046459369716373135482202050759053236736008881400058114442362233895973599523497992897666271134459080205861511716059031372236318768389375825814133367173331077094300261932029065104910844430717221461312566672279",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.381882063874687e-163,
            "status": "finite",
            "log2": -538.8002975185423
          },
          "falseMass": {
            "numerator": "2791912969430183490048919838538170102186709583086969092537179505089636105649491069951989457780451833008951528211273110244120702674424573759444875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 0.0000034116465816153707,
            "status": "finite",
            "log2": -18.161100366208245
          },
          "noiseInformation": 2.041278394304668,
          "jointInformation": 3.041278394304668,
          "informationDensity": -520.6391971523341,
          "difference": 1.5722828007153868,
          "margin": -1.5522828007153868,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5714614078010819382709605997650718493537143918635772576792569079950228929678217666682923180885217866810551139120853828861221313238817789902225751840817355819264783111224585368587905950061128081",
            "value": 5.345831445127065e+156,
            "status": "finite",
            "log2": 520.639197152334
          }
        },
        {
          "k": 299,
          "count": "7544701268560495852707448928223549975140004492087862965786090435158615295534410650572600273868244418298437574564243053770065310237240988620841000",
          "singleLikelihood": {
            "numerator": "634957119778979931412178444183413165948571546515085841865841008883358769964246407409213686765024207423394571013428203206802368137646421100247305760090817313251642567913842818731989550006792009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.3495711977898e-309,
            "status": "finite",
            "log2": -1023.8091221537763
          },
          "trueMass": {
            "numerator": "4790561787077988600555200880676186655701317761224637268191464693509020736669187189310806312121530097719393148159225672870399657276362837733687731952323451180477286105662169090080219085350644973427474378250946593334928793972637347005578849246362753101400295654896677223049970302677977995735535657798192335784464989781657141431649659569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.790561787077989e-164,
            "status": "finite",
            "log2": -542.5360127114309
          },
          "falseMass": {
            "numerator": "943087658570061981588431116027943746892500561510982870723261304394826911941801331321575034233530552287304696820530381721258163779655123577605125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 0.000002304858225706705,
            "status": "finite",
            "log2": -18.726890557654542
          },
          "noiseInformation": 2.047618244307553,
          "jointInformation": 3.047618244307553,
          "informationDensity": -523.8091221537763,
          "difference": 1.5786226507182715,
          "margin": -1.5586226507182714,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "634957119778979931412178444183413165948571546515085841865841008883358769964246407409213686765024207423394571013428203206802368137646421100247305760090817313251642567913842818731989550006792009",
            "value": 4.811248300614358e+157,
            "status": "finite",
            "log2": 523.8091221537763
          }
        },
        {
          "k": 300,
          "count": "5054949849935532221313990781909778483343803009698868187076680591556272248008055135883642183491723760259953174958042846025943757858951462375963470",
          "singleLikelihood": {
            "numerator": "70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.0550791086553e-310,
            "status": "finite",
            "log2": -1026.9790471552187
          },
          "trueMass": {
            "numerator": "35663071081580581804133162111700500659109810000227855218758681607233821039648393520424891434682501838577704547407568898035197448612923347573008671200630136565775352119929481003930519857610357024404531482534824639271136577351855805485975877722922717532646645430897485993816445586602725079364543230275431833062128257263447608435614132347",
            "denominator": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.566307108158058e-165,
            "status": "finite",
            "log2": -546.2837047121902
          },
          "falseMass": {
            "numerator": "2527474924967766110656995390954889241671901504849434093538340295778136124004027567941821091745861880129976587479021423012971878929475731187981735",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 0.0000015442550112234925,
            "status": "finite",
            "log2": -19.304657556971506
          },
          "noiseInformation": 2.0539580943104374,
          "jointInformation": 3.0539580943104374,
          "informationDensity": -526.9790471552187,
          "difference": 1.584962500721156,
          "margin": -1.564962500721156,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "70550791086553325712464271575934796216507949612787315762871223209262085551582934156579298529447134158154952334825355911866929793071824566694145084454535257027960285323760313192443283334088001",
            "value": 4.3301234705529224e+158,
            "status": "finite",
            "log2": 526.9790471552187
          }
        },
        {
          "k": 301,
          "count": "3358770664408991509178731416551347829464320936676988828622379130602174251168142947430991484047656983561430681035244415964082231135515921844494000",
          "singleLikelihood": {
            "numerator": "7838976787394813968051585730659421801834216623643035084763469245473565061286992684064366503271903795350550259425039545762992199230202729632682787161615028558662253924862257021382587037120889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.8389767873947e-311,
            "status": "finite",
            "log2": -1030.1489721566609
          },
          "trueMass": {
            "numerator": "13164662636242370544161373979955888024772908822527816618220258991226954979567513296576187314389996987293357160357168290156957345372064727786271196456489529924612533082292167221827434425105336664601155955162356825127772822942730086927270534412300744751807547224399219635960297374161212653881337478876128399063170268461959250068517583",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6329325272484744e-166,
            "status": "finite",
            "log2": -550.0433932006174
          },
          "falseMass": {
            "numerator": "209923166525561969323670713534459239341520058542311801788898695662635890698008934214436967752978561472589417564702775997755139445969745115280875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 0.0000010260830639358754,
            "status": "finite",
            "log2": -19.89442104395647
          },
          "noiseInformation": 2.0602979443133216,
          "jointInformation": 3.0602979443133216,
          "informationDensity": -530.1489721566608,
          "difference": 1.5913023507240407,
          "margin": -1.5713023507240407,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7838976787394813968051585730659421801834216623643035084763469245473565061286992684064366503271903795350550259425039545762992199230202729632682787161615028558662253924862257021382587037120889",
            "value": 3.89711112349763e+159,
            "status": "finite",
            "log2": 530.1489721566611
          }
        },
        {
          "k": 302,
          "count": "2213229676216520895121084608919596748554304193373247605615408764866995615835961743505852004389019005724253991807992181380305841046250557771703000",
          "singleLikelihood": {
            "numerator": "870997420821645996450176192295491311314912958182559453862607693941507229031888076007151833696878199483394473269448838418110244358911414403631420795735003173184694880540250780153620781902321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.70997420822e-312,
            "status": "finite",
            "log2": -1033.3188971581035
          },
          "trueMass": {
            "numerator": "1927717339670516363714579412811789342847541468493771528348661912622637263380379062559721321238859014327724852767532369198848058667432583391808659378102587531271445241630714699884959124794674022263156758702949969242403820283740461588319967879358240033561222882748671602322368784001531507080490182705187307883422283608484099163822663",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.927717339670516e-167,
            "status": "finite",
            "log2": -553.8150983208411
          },
          "falseMass": {
            "numerator": "276653709527065111890135576114949593569288024171655950701926095608374451979495217938231500548627375715531748975999022672538230130781319721462875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.761275818650306e-7,
            "status": "finite",
            "log2": -20.49620116273792
          },
          "noiseInformation": 2.066637794316207,
          "jointInformation": 3.066637794316207,
          "informationDensity": -533.3188971581036,
          "difference": 1.5976422007269253,
          "margin": -1.5776422007269253,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "870997420821645996450176192295491311314912958182559453862607693941507229031888076007151833696878199483394473269448838418110244358911414403631420795735003173184694880540250780153620781902321",
            "value": 3.507400011147867e+160,
            "status": "finite",
            "log2": 533.3188971581033
          }
        },
        {
          "k": 303,
          "count": "1446268897329607713643481031571221637669149274877567742283336420606155550942311634370160715739358954235651123359678059119803816921312245672598000",
          "singleLikelihood": {
            "numerator": "96777491202405110716686243588387923479434773131395494873623077104611914336876452889683537077430911053710497029938759824234471595434601600403491199526111463687188320060027864461513420211369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.67774912024e-313,
            "status": "finite",
            "log2": -1036.4888221595456
          },
          "trueMass": {
            "numerator": "69983137743814125415380770762144167562121967503074213900446472075409273588066566627580642025173099530049417097171142116129797509378740651187773112736397567141867649036098553461170133243371004108563446685585642447744033079607739529608975731593863499568229213565133292493551341993454939200941887820980397315899818876875660365683331",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3996627548762825e-168,
            "status": "finite",
            "log2": -557.5988406856768
          },
          "falseMass": {
            "numerator": "90391806083100482102717564473201352354321829679847983892708526287884721933894477148135044733709934639728195209979878694987738557582015354537375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.4182594458506946e-7,
            "status": "finite",
            "log2": -21.110018526131228
          },
          "noiseInformation": 2.0729776443190913,
          "jointInformation": 3.0729776443190913,
          "informationDensity": -536.4888221595456,
          "difference": 1.60398205072981,
          "margin": -1.58398205072981,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "96777491202405110716686243588387923479434773131395494873623077104611914336876452889683537077430911053710497029938759824234471595434601600403491199526111463687188320060027864461513420211369",
            "value": 3.1566600100330804e+161,
            "status": "finite",
            "log2": 536.4888221595456
          }
        },
        {
          "k": 304,
          "count": "937220305177410261801861063222140337568494760364739622466504193616488958998800631483294937502150374948760760861370321205925499781245106570729625",
          "singleLikelihood": {
            "numerator": "10753054578045012301854027065376435942159419236821721652624786344956879370764050321075948564158990117078944114437639980470496843937177955600387911058456829298576480006669762717945935579041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0753054578e-313,
            "status": "finite",
            "log2": -1039.6587471609878
          },
          "trueMass": {
            "numerator": "80623848745797559689064396725978953273321798819331111920397397654126473080988968570955476485140939224676813848787806999284035727179017007508721071398072051034783198012347456326611206134175952101678356707955389252664178460132892908379931105988252101841761140773867009480874937852108906564827788893176247200188680226576053169822317",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0077981093224696e-169,
            "status": "finite",
            "log2": -561.3946413811063
          },
          "falseMass": {
            "numerator": "937220305177410261801861063222140337568494760364739622466504193616488958998800631483294937502150374948760760861370321205925499781245106570729625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.863148390896667e-7,
            "status": "finite",
            "log2": -21.73589422011844
          },
          "noiseInformation": 2.0793174943219754,
          "jointInformation": 3.0793174943219754,
          "informationDensity": -539.6587471609877,
          "difference": 1.6103219007326945,
          "margin": -1.5903219007326945,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10753054578045012301854027065376435942159419236821721652624786344956879370764050321075948564158990117078944114437639980470496843937177955600387911058456829298576480006669762717945935579041",
            "value": 2.840994009029772e+162,
            "status": "finite",
            "log2": 539.658747160988
          }
        },
        {
          "k": 305,
          "count": "602279278081221020698900879972260675945655649283570380339130563766661757258245651707297730329250732753957734848618304774955403138111609468403300",
          "singleLikelihood": {
            "numerator": "1194783842005001366872669673930715104684379915202413516958309593884097707862672257897327618239887790786549346048626664496721871548575328400043101228717425477619608889629973635327326175449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.194783842e-314,
            "status": "finite",
            "log2": -1042.8286721624304
          },
          "trueMass": {
            "numerator": "7195935498258798587912851438202128798529632317208059169580095601187973007228523606515151817435165796009405971931880770427901185121624468794038857010028288708022544084890756575599178689571259841497703968469606691039243614838819221330813523120991535501359373220254068241462426147091687471177707933999337181801904063938481976905817",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.195935498258799e-171,
            "status": "finite",
            "log2": -565.2025219708837
          },
          "falseMass": {
            "numerator": "150569819520305255174725219993065168986413912320892595084782640941665439314561412926824432582312683188489433712154576193738850784527902367100825",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.8399248675926124e-7,
            "status": "finite",
            "log2": -22.373849808453485
          },
          "noiseInformation": 2.085657344324861,
          "jointInformation": 3.085657344324861,
          "informationDensity": -542.8286721624305,
          "difference": 1.6166617507355792,
          "margin": -1.5966617507355791,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1194783842005001366872669673930715104684379915202413516958309593884097707862672257897327618239887790786549346048626664496721871548575328400043101228717425477619608889629973635327326175449",
            "value": 2.5568946081267954e+163,
            "status": "finite",
            "log2": 542.8286721624302
          }
        },
        {
          "k": 306,
          "count": "383805422306660454366946639198009254279094286308157595314151829851304060997901640793866200700012721853012282011374409905608835333110339367119750",
          "singleLikelihood": {
            "numerator": "132753760222777929652518852658968344964931101689157057439812177098233078651408028655258624248876421198505482894291851610746874616508369822227011247635269497513289876625552626147480686161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3275376e-315,
            "status": "finite",
            "log2": -1045.9985971638725
          },
          "trueMass": {
            "numerator": "203806452020401702925636315243197547670773900051644377351941705480269388004293696916551140798817331913120430577591394369417680624359734410288682224684897065804560072121088966193440790772170758038061332440315657916144154668637581432027398258328736299602770919092163152808304008523293980665163841267955083580446084599564849019119",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.095161300510043e-172,
            "status": "finite",
            "log2": -569.0225045012692
          },
          "falseMass": {
            "numerator": "191902711153330227183473319599004627139547143154078797657075914925652030498950820396933100350006360926506141005687204952804417666555169683559875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.1725011411129393e-7,
            "status": "finite",
            "log2": -23.02390733739651
          },
          "noiseInformation": 2.091997194327745,
          "jointInformation": 3.091997194327745,
          "informationDensity": -545.9985971638725,
          "difference": 1.6230016007384638,
          "margin": -1.6030016007384638,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "132753760222777929652518852658968344964931101689157057439812177098233078651408028655258624248876421198505482894291851610746874616508369822227011247635269497513289876625552626147480686161",
            "value": 2.3012051473141156e+164,
            "status": "finite",
            "log2": 545.9985971638725
          }
        },
        {
          "k": 307,
          "count": "242535022565120938590187778516005847980926031087239653064968908765970644409097453791563657771343544102554992541389692253055746106265165593554500",
          "singleLikelihood": {
            "numerator": "14750417802530881072502094739885371662770122409906339715534686344248119850156447628362069360986269022056164766032427956749652735167596646914112360848363277501476652958394736238608965129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4750418e-316,
            "status": "finite",
            "log2": -1049.168522165315
          },
          "trueMass": {
            "numerator": "7154985829163577699524691487003316005814356968877851828859336023013438522047227144735961150012769162349866726755832520388532399769415214548679759607106411647861862828717202215260136339088151838469760856572790017323917120107797828051631426369123207043600716305443295628811251837408438698704629968509461855701509303712555322061",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5774929145817886e-173,
            "status": "finite",
            "log2": -572.8546115058946
          },
          "falseMass": {
            "numerator": "60633755641280234647546944629001461995231507771809913266242227191492661102274363447890914442835886025638748135347423063263936526566291398388625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.409290598563851e-8,
            "status": "finite",
            "log2": -23.6860893405796
          },
          "noiseInformation": 2.0983370443306297,
          "jointInformation": 3.0983370443306297,
          "informationDensity": -549.1685221653148,
          "difference": 1.6293414507413484,
          "margin": -1.6093414507413484,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "14750417802530881072502094739885371662770122409906339715534686344248119850156447628362069360986269022056164766032427956749652735167596646914112360848363277501476652958394736238608965129",
            "value": 2.071084632582704e+165,
            "status": "finite",
            "log2": 549.1685221653149
          }
        },
        {
          "k": 308,
          "count": "151978114789182925804890393680484183962073779220250821563438309713741345360246131758999305032043194843484134936650034431297918826328496621935125",
          "singleLikelihood": {
            "numerator": "1638935311392320119166899415542819073641124712211815523948298482694235538906271958706896595665141002450684974003603106305516970574177405212679151205373697500164072550932748470956551681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6389353e-317,
            "status": "finite",
            "log2": -1052.3384471667573
          },
          "trueMass": {
            "numerator": "1992658391094618320358247412686349190652483253958766815252311475384694999646630359212179656497062696007971541506314107409793294596676964513557277928097456634974515910450822550570283280582991781853771782566448013482707076739978327292878593490967935006370762261111913501241806067272480041630582372182288799639814279388922333561",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.490822988868273e-174,
            "status": "finite",
            "log2": -576.6988660107636
          },
          "falseMass": {
            "numerator": "151978114789182925804890393680484183962073779220250821563438309713741345360246131758999305032043194843484134936650034431297918826328496621935125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.6428346932559196e-8,
            "status": "finite",
            "log2": -24.360418844006404
          },
          "noiseInformation": 2.104676894333515,
          "jointInformation": 3.104676894333515,
          "informationDensity": -552.3384471667574,
          "difference": 1.635681300744233,
          "margin": -1.615681300744233,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1638935311392320119166899415542819073641124712211815523948298482694235538906271958706896595665141002450684974003603106305516970574177405212679151205373697500164072550932748470956551681",
            "value": 1.8639761693244337e+166,
            "status": "finite",
            "log2": 552.3384471667573
          }
        },
        {
          "k": 309,
          "count": "94433003364152497587504710636417357024977882233942258058835454579412098087919926529863645845153053106630918795588370908767638882378871687416000",
          "singleLikelihood": {
            "numerator": "182103923488035568796322157282535452626791634690201724883144275854915059878474662078544066185015666938964997111511456256168552286019711690297683467263744166684896950103638718995172409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.821037e-318,
            "status": "finite",
            "log2": -1055.5083721681995
          },
          "trueMass": {
            "numerator": "2149577552421378986362726443027345405234609766945811019689656392000749729931640085450031991906216500547973615432917052221999239047116466573416696794064138764805303031770035113883800734177984662193928568032845753487278399935251701502565904521001008636861663712094836570918884646464379764434285191135155123667545069459463143",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7196620419371032e-175,
            "status": "finite",
            "log2": -580.5552915393891
          },
          "falseMass": {
            "numerator": "1475515677564882774804761103694021203515279409905347782169303977803314032623748852029119466330516454791108106181068295449494357537169870115875",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 2.8848681589162994e-8,
            "status": "finite",
            "log2": -25.04691937118963
          },
          "noiseInformation": 2.111016744336399,
          "jointInformation": 3.111016744336399,
          "informationDensity": -555.5083721681995,
          "difference": 1.6420211507471179,
          "margin": -1.6220211507471178,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "182103923488035568796322157282535452626791634690201724883144275854915059878474662078544066185015666938964997111511456256168552286019711690297683467263744166684896950103638718995172409",
            "value": 1.6775785523919902e+167,
            "status": "finite",
            "log2": 555.5083721681995
          }
        },
        {
          "k": 310,
          "count": "58182914975977829158752902359857145779905727440912810610443780079573260434815180539367601149755590785053243515991544656692319440433433846117600",
          "singleLikelihood": {
            "numerator": "20233769276448396532924684142503939180754626076689080542571586206101673319830518008727118465001740770996110790167939584018728031779967965588631496362638240742766327789293190999463601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0234e-319,
            "status": "finite",
            "log2": -1058.6782971696418
          },
          "trueMass": {
            "numerator": "1471574596818936868800289428739150438708998084181540877278581974452126159200513463515971722057660758439652188342964720338357901999997294320869494937871865606013666233218912927425827742752670503509105220409582576760108151927000268770573791267065206629536121035878544032421171926432604068125263338734102611543014724970456847",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1772596774551496e-176,
            "status": "finite",
            "log2": -584.4239121180699
          },
          "falseMass": {
            "numerator": "1818216092999307161211028198745535805622053982528525331576368127486664388587974391855237535929862212032913859874735770521634982513544807691175",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.7774510269452038e-8,
            "status": "finite",
            "log2": -25.745614948428113
          },
          "noiseInformation": 2.1173565943392836,
          "jointInformation": 3.1173565943392836,
          "informationDensity": -558.6782971696418,
          "difference": 1.6483610007500025,
          "margin": -1.6283610007500025,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "20233769276448396532924684142503939180754626076689080542571586206101673319830518008727118465001740770996110790167939584018728031779967965588631496362638240742766327789293190999463601",
            "value": 1.5098206971527914e+168,
            "status": "finite",
            "log2": 558.6782971696418
          }
        },
        {
          "k": 311,
          "count": "35545832300436615884768654174832339865537261137535157607666618055044757178825994541735833499850682473183653594978757185760581008624927430104000",
          "singleLikelihood": {
            "numerator": "2248196586272044059213853793611548797861625119632120060285731800677963702203390889858568718333526752332901198907548842668747559086663107287625721818070915638085147532143687888829289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.248e-320,
            "status": "finite",
            "log2": -1061.8482221710842
          },
          "trueMass": {
            "numerator": "9989252354255019831084494157214668930143252447105850899711703292100892113186765204288482572024135194838653654346670127341479148981760840334591069603274543234819456388409912690636201183387188126714183346831750253105414393216507719414398726000085361186561736220683221370490270311618248408138622163611271746808602991939507",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.991401883404015e-178,
            "status": "finite",
            "log2": -588.304752281312
          },
          "falseMass": {
            "numerator": "555403629694322123199510221481755310399019705273986837619790907110074330919156164714622398435166913643494587421543081027509078259764491095375",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.0859025566546261e-8,
            "status": "finite",
            "log2": -26.45653011022779
          },
          "noiseInformation": 2.1236964443421686,
          "jointInformation": 3.1236964443421686,
          "informationDensity": -561.8482221710843,
          "difference": 1.654700850752887,
          "margin": -1.634700850752887,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2248196586272044059213853793611548797861625119632120060285731800677963702203390889858568718333526752332901198907548842668747559086663107287625721818070915638085147532143687888829289",
            "value": 1.3588386274375122e+169,
            "status": "finite",
            "log2": 561.8482221710842
          }
        },
        {
          "k": 312,
          "count": "21532571489687565391734857817446513572392763958314566627721124398729035598711900539705360677794163421255482466189054833681890418686254116313000",
          "singleLikelihood": {
            "numerator": "249799620696893784357094865956838755317958346625791117809525755630884855800376765539840968703725194703655688767505426963194173231851456365291746868674546182009460836904854209869921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5e-321,
            "status": "finite",
            "log2": -1065.0181471725264
          },
          "trueMass": {
            "numerator": "5378828190752702985968573776961744808538674394595458176767840234208172676331335110001490615705303566451582736955899299337719541759409683257087499017147830972595091901451491448804108329516178222076867955986327059364453904039658002761599314000045963715840934888060196122571684013948287604382335011175300171358478534121273",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.378828190752703e-179,
            "status": "finite",
            "log2": -592.1978370773954
          },
          "falseMass": {
            "numerator": "2691571436210945673966857227180814196549095494789320828465140549841129449838987567463170084724270427656935308273631854210236302335781764539125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.578063564350139e-9,
            "status": "finite",
            "log2": -27.17968990486895
          },
          "noiseInformation": 2.130036294345053,
          "jointInformation": 3.130036294345053,
          "informationDensity": -565.0181471725264,
          "difference": 1.6610407007557717,
          "margin": -1.6410407007557717,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "249799620696893784357094865956838755317958346625791117809525755630884855800376765539840968703725194703655688767505426963194173231851456365291746868674546182009460836904854209869921",
            "value": 1.2229547646937607e+170,
            "status": "finite",
            "log2": 565.0181471725264
          }
        },
        {
          "k": 313,
          "count": "12933301725435342791201767634760206235175206466974883469685531587735011797309384349727181493371574195514475091512914724384010858508037616188000",
          "singleLikelihood": {
            "numerator": "27755513410765976039677207328537639479773149625087901978836195070098317311152973948871218744858354967072854307500602995910463692427939596143527429852727353556606759656094912207769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.77e-322,
            "status": "finite",
            "log2": -1068.1880721739687
          },
          "trueMass": {
            "numerator": "89742607371450848541186711933689033014312281343978180443055907351006075891932108686570840943609963657516644883538255970490883373337683746213387452540272650234990883694788817214694033186815895079024775978472620443780381075564049034361081916223699075131176407433024216457532534134032487542055287726389459728025733441143",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.5897042948580343e-180,
            "status": "finite",
            "log2": -596.1031920740927
          },
          "falseMass": {
            "numerator": "404165678919854462225055238586256444849225202092965108427672862116719118665918260928974421667861693609827346609778585137000339328376175505875",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.951041374114461e-9,
            "status": "finite",
            "log2": -27.915119900123898
          },
          "noiseInformation": 2.1363761443479374,
          "jointInformation": 3.1363761443479374,
          "informationDensity": -568.1880721739687,
          "difference": 1.6673805507586563,
          "margin": -1.6473805507586563,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "27755513410765976039677207328537639479773149625087901978836195070098317311152973948871218744858354967072854307500602995910463692427939596143527429852727353556606759656094912207769",
            "value": 1.100659288224385e+171,
            "status": "finite",
            "log2": 568.1880721739687
          }
        },
        {
          "k": 314,
          "count": "7702316632663723254632899833439995433050202577465933786086606391421806388843486857958544392549313294780913509913742208470732581340773994354000",
          "singleLikelihood": {
            "numerator": "3083945934529552893297467480948626608863683291676433553204021674455368590128108216541246527206483885230317145277844777323384854714215510682614158872525261506289639961788323578641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3e-323,
            "status": "finite",
            "log2": -1071.3579971754111
          },
          "trueMass": {
            "numerator": "11876764032881322489173329887897982430061144098601500171869394674195425471897596832546884116387164334009633823936060768918467934051059349286555876592378616839308772293648626198972246430243858725957277500335725423203773008584909532502138937249703982342200982441596269269326669414765799837483608495990678675966604496457",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3753528065762645e-181,
            "status": "finite",
            "log2": -600.020843364539
          },
          "falseMass": {
            "numerator": "481394789541482703414556239589999714565637661091620861630412899463862899302717928622409024534332080923807094369608888029420786333798374647125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.353008716431223e-9,
            "status": "finite",
            "log2": -28.66284618912789
          },
          "noiseInformation": 2.142715994350822,
          "jointInformation": 3.142715994350822,
          "informationDensity": -571.357997175411,
          "difference": 1.673720400761541,
          "margin": -1.653720400761541,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3083945934529552893297467480948626608863683291676433553204021674455368590128108216541246527206483885230317145277844777323384854714215510682614158872525261506289639961788323578641",
            "value": 9.905933594019464e+171,
            "status": "finite",
            "log2": 571.3579971754111
          }
        },
        {
          "k": 315,
          "count": "4548034583096674683687997996888378255705833902884646616546377107315733296269487478032664307981499278823015596330019208811289714696457025237600",
          "singleLikelihood": {
            "numerator": "342660659392172543699718608994291845429298143519603728133780186050596510014234246282360725245164876136701905030871641924820539412690612298068239874725029056254404440198702619849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5e-324,
            "status": "finite",
            "log2": -1074.5279221768533
          },
          "trueMass": {
            "numerator": "1948040661477888873885572627115542091703150619347336007026197010053217934544050274121446601100540181768775918211734835113611142622131427660757842192400725513325777466154007471789098620833648785739024351906917926557232609873715320145853476480110176997927145268198329880154109798189099444243343192464079571190289626403",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.558432529182311e-182,
            "status": "finite",
            "log2": -603.9508175732606
          },
          "falseMass": {
            "numerator": "142126080721771083865249937402761820490807309465145206767074284603616665508421483688520759624421852463219237385313100275352803584264282038675",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.3893956230355795e-9,
            "status": "finite",
            "log2": -29.42289539640717
          },
          "noiseInformation": 2.1490558443537067,
          "jointInformation": 3.1490558443537067,
          "informationDensity": -574.5279221768533,
          "difference": 1.6800602507644256,
          "margin": -1.6600602507644255,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "342660659392172543699718608994291845429298143519603728133780186050596510014234246282360725245164876136701905030871641924820539412690612298068239874725029056254404440198702619849",
            "value": 8.915340234617516e+172,
            "status": "finite",
            "log2": 574.5279221768533
          }
        },
        {
          "k": 316,
          "count": "2662615183142040558488226675393512586410060987448289949560379002700666644967896150114059800558789134753980649750169473512938598793811866041000",
          "singleLikelihood": {
            "numerator": "38073406599130282633302067666032427269922015946622636459308909561177390001581582920262302805018319570744656114541293547202282156965623588674248874969447672917156048910966957761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1077.6978471782957
          },
          "trueMass": {
            "numerator": "101374830484784653071401107177602049779207556843672900506285920354386868604964641550623803432798856153930673662214049084674560164583492016101322308184003999990230332275243708095916524572215197007516035190655363266691429768393061667224442517249052811425181961917493960008019778527421490066109280057905687952237294201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0137483048478466e-183,
            "status": "finite",
            "log2": -607.8931418623637
          },
          "falseMass": {
            "numerator": "332826897892755069811028334424189073301257623431036243695047375337583330620987018764257475069848641844247581218771184189117324849226483255125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 8.134119944986779e-10,
            "status": "finite",
            "log2": -30.19529468406796
          },
          "noiseInformation": 2.1553956943565913,
          "jointInformation": 3.1553956943565913,
          "informationDensity": -577.6978471782957,
          "difference": 1.6864001007673102,
          "margin": -1.6664001007673102,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "38073406599130282633302067666032427269922015946622636459308909561177390001581582920262302805018319570744656114541293547202282156965623588674248874969447672917156048910966957761",
            "value": 8.023806211155766e+173,
            "status": "finite",
            "log2": 577.6978471782957
          }
        },
        {
          "k": 317,
          "count": "1545492724599796412497898133351439482332653696184496374508232607245812816006602181769675089283335018279913058530066823742525874378742534232000",
          "singleLikelihood": {
            "numerator": "4230378511014475848144674185114714141102446216291404051034323284575265555731286991140255867224257730082739568282365949689142461885069287630472097218827519213017338767885217529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1080.867772179738
          },
          "trueMass": {
            "numerator": "817252401384524017049500688778425217287687980162802913299886494269505074628176220001523827183446789884474410876594156658785448224823104230750232417887168594383209829067860247531048042467910806580045148750463846874834519689113360794308509602778904543560878066632443421025045533168837809856471588269131028006119091",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.538019211076192e-185,
            "status": "finite",
            "log2": -611.8478439378883
          },
          "falseMass": {
            "numerator": "24148323821871818945279658333616241911447714002882755851691134488215825250103159090151173270052109660623641539532294120976966787167852097375",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.721381923903998e-10,
            "status": "finite",
            "log2": -30.98007175815036
          },
          "noiseInformation": 2.161735544359476,
          "jointInformation": 3.161735544359476,
          "informationDensity": -580.8677721797379,
          "difference": 1.6927399507701948,
          "margin": -1.6727399507701948,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4230378511014475848144674185114714141102446216291404051034323284575265555731286991140255867224257730082739568282365949689142461885069287630472097218827519213017338767885217529",
            "value": 7.221425590040189e+174,
            "status": "finite",
            "log2": 580.867772179738
          }
        },
        {
          "k": 318,
          "count": "889387322647052652475205529570168003983885617615606404198133858886741337513233331018397928738522982217685816701264870266925267331163156492000",
          "singleLikelihood": {
            "numerator": "470042056779386205349408242790523793455827357365711561226035920508362839525698554571139540802695303342526618698040661076571384653896587514496899690980835468113037640876135281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1084.0376971811802
          },
          "trueMass": {
            "numerator": "104512361602633050398363819738960038269494689287067039227029509749349705560416665450928623602076004576421255898264661543366692540281361337685040204383893677688418867029642505449463166856483352623443928875845481466173806501123511548119117580229587373495206629066203456357500581809851376103238504998777762491348563",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.180494464105322e-186,
            "status": "finite",
            "log2": -615.814952056331
          },
          "falseMass": {
            "numerator": "27793353832720395389850172799067750124496425550487700131191683090210666797288541594324935273078843194302681771914527195841414604098848640375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.717021673190036e-10,
            "status": "finite",
            "log2": -31.777254875150675
          },
          "noiseInformation": 2.1680753943623605,
          "jointInformation": 3.1680753943623605,
          "informationDensity": -584.0376971811803,
          "difference": 1.6990798007730794,
          "margin": -1.6790798007730794,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "470042056779386205349408242790523793455827357365711561226035920508362839525698554571139540802695303342526618698040661076571384653896587514496899690980835468113037640876135281",
            "value": 6.49928303103617e+175,
            "status": "finite",
            "log2": 584.0376971811804
          }
        },
        {
          "k": 319,
          "count": "507424742074493989813440145397399927037828158012665722771349098173626719208177010173506028308499005528585638368746728490847644684237286776000",
          "singleLikelihood": {
            "numerator": "52226895197709578372156471421169310383980817485079062358448435612040315502855394952348837866966144815836290966448962341841264961544065279388544410108981718679226404541792809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1087.2076221826228
          },
          "trueMass": {
            "numerator": "3312652353131176449408257609280865023519337069008394486123192402365316337860646658319228403966881371109137682599123720113677819981053250341114126993707532103673325287250946707036275926137229219342876185197470851069946496552504197449961581261195559382815675111467960476674522098466205233505644010758891113449223",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.650121882504941e-187,
            "status": "finite",
            "log2": -619.7944950313395
          },
          "falseMass": {
            "numerator": "7928511594913968590835002271834373859966064968947901918302329658962917487627765783961031692320296961384150599511667632669494448191207605875",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.5501502963027794e-10,
            "status": "finite",
            "log2": -32.58687284871684
          },
          "noiseInformation": 2.1744152443652456,
          "jointInformation": 3.1744152443652456,
          "informationDensity": -587.2076221826228,
          "difference": 1.705419650775964,
          "margin": -1.685419650775964,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "52226895197709578372156471421169310383980817485079062358448435612040315502855394952348837866966144815836290966448962341841264961544065279388544410108981718679226404541792809",
            "value": 5.849354727932552e+176,
            "status": "finite",
            "log2": 587.2076221826226
          }
        },
        {
          "k": 320,
          "count": "287012119735885662988227082240404333730771551875914049442544333654457613052125121379389347261994750002106251702322368302635699024521715332675",
          "singleLikelihood": {
            "numerator": "5802988355301064263572941269018812264886757498342118039827603956893368389206154994705426429662904979537365662938773593537918329060451697709838267789886857631025156060199201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1090.377547184065
          },
          "trueMass": {
            "numerator": "66621119546304770815877180808870729917444445498946600220921980536458028572530782795086704568667280907861546727826821482286187268507848701304628553984562590084985764110269039330396215847870943189006732168971358227073368430667028859827005134252932916476626355019522316253120944424709238584946840660817699059367707",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6655279886576194e-188,
            "status": "finite",
            "log2": -623.786502240586
          },
          "falseMass": {
            "numerator": "287012119735885662988227082240404333730771551875914049442544333654457613052125121379389347261994750002106251702322368302635699024521715332675",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.768037613462596e-11,
            "status": "finite",
            "log2": -33.408955056520995
          },
          "noiseInformation": 2.1807550943681298,
          "jointInformation": 3.1807550943681298,
          "informationDensity": -590.3775471840648,
          "difference": 1.7117595007788486,
          "margin": -1.6917595007788486,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5802988355301064263572941269018812264886757498342118039827603956893368389206154994705426429662904979537365662938773593537918329060451697709838267789886857631025156060199201",
            "value": 5.2644192551392975e+177,
            "status": "finite",
            "log2": 590.377547184065
          }
        },
        {
          "k": 321,
          "count": "160941375552833082049473130228264112372395262734157410902361308591284642832967357782835147997380233646040888805040580356618148985713111401500",
          "singleLikelihood": {
            "numerator": "644776483922340473730326807668756918320750833149124226647511550765929821022906110522825158851433886615262851437641510393102036562272410856648696421098539736780572895577689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1093.547472185507
          },
          "trueMass": {
            "numerator": "207542428493161279800240438656918161736587057629117134644616761795819403652743871635784126382141062018260270180145861315533293671364014645808811694655958224563818579782769592929583226940407922707186081523275259274371864269990744111610607894868949895565814190091969832564239702257661179392357759067967909842267",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0377121424658063e-189,
            "status": "finite",
            "log2": -627.7910036328209
          },
          "falseMass": {
            "numerator": "40235343888208270512368282557066028093098815683539352725590327147821160708241839445708786999345058411510222201260145089154537246428277850375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.91665660567996e-11,
            "status": "finite",
            "log2": -34.243531447313615
          },
          "noiseInformation": 2.1870949443710144,
          "jointInformation": 3.1870949443710144,
          "informationDensity": -593.5474721855072,
          "difference": 1.7180993507817333,
          "margin": -1.6980993507817332,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "644776483922340473730326807668756918320750833149124226647511550765929821022906110522825158851433886615262851437641510393102036562272410856648696421098539736780572895577689",
            "value": 4.737977329625368e+178,
            "status": "finite",
            "log2": 593.5474721855073
          }
        },
        {
          "k": 322,
          "count": "89467410633407210207626367425028807809499229905012970656902715024347674121432164730209600905375968393296022037584670446691455492057909754250",
          "singleLikelihood": {
            "numerator": "71641831546926719303369645296528546480083425905458247405279061196214424558100678946980573205714876290584761270849056710344670729141378984072077380122059970753396988397521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1096.7173971869497
          },
          "trueMass": {
            "numerator": "25638436646153118760692228101855314665872383240587969014069289414390388719007006917049936937476363078860309428741276173554492454916603603588528152755981036712852674797181336876739404846330585344780061140556432995246765841496441129039543694397199469500538812992727812304347071569441926232734326344490169676857",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.40960916153828e-191,
            "status": "finite",
            "log2": -631.8080297351136
          },
          "falseMass": {
            "numerator": "44733705316703605103813183712514403904749614952506485328451357512173837060716082365104800452687984196648011018792335223345727746028954877125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.7331724609214687e-11,
            "status": "finite",
            "log2": -35.09063254816397
          },
          "noiseInformation": 2.1934347943738994,
          "jointInformation": 3.1934347943738994,
          "informationDensity": -596.7173971869497,
          "difference": 1.7244392007846179,
          "margin": -1.7044392007846179,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "71641831546926719303369645296528546480083425905458247405279061196214424558100678946980573205714876290584761270849056710344670729141378984072077380122059970753396988397521",
            "value": 4.2641795966628313e+179,
            "status": "finite",
            "log2": 596.7173971869495
          }
        },
        {
          "k": 323,
          "count": "49304021958967440919373044587167578297494931650440584448695613852426891621098840006121699570145270507760656107399601670312938320700643765500",
          "singleLikelihood": {
            "numerator": "7960203505214079922596627255169838497787047322828694156142117910690491617566742105220063689523875143398306807872117412260518969904597664896897486680228885639266332044169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1099.8873221883919
          },
          "trueMass": {
            "numerator": "784940096837849181183903784336127624789350570489277345115984436835481457169461168083056204828137706920731867615401988113639431884271661754172344546020747254022665310268021665644928459347582420256424300484871873607486123114270127445655104506828604329393861147696173132124832944506477961717700393759760956739",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.9247004841892456e-192,
            "status": "finite",
            "log2": -635.8376116602834
          },
          "falseMass": {
            "numerator": "12326005489741860229843261146791894574373732912610146112173903463106722905274710001530424892536317626940164026849900417578234580175160941375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5062064954923265e-11,
            "status": "finite",
            "log2": -35.950289471891494
          },
          "noiseInformation": 2.1997746443767836,
          "jointInformation": 3.1997746443767836,
          "informationDensity": -599.8873221883917,
          "difference": 1.7307790507875025,
          "margin": -1.7107790507875025,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "7960203505214079922596627255169838497787047322828694156142117910690491617566742105220063689523875143398306807872117412260518969904597664896897486680228885639266332044169",
            "value": 3.837761636996548e+180,
            "status": "finite",
            "log2": 599.8873221883919
          }
        },
        {
          "k": 324,
          "count": "26934604588695176057805644728174880736594453401629578541417048308270246348563255188529446987394175555165543614227560171745031119642018353375",
          "singleLikelihood": {
            "numerator": "884467056134897769177403028352204277531894146980966017349124212298943513062971345024451521058208349266478534208013045806724329989399740544099720742247653959918481338241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1103.0572471898342
          },
          "trueMass": {
            "numerator": "190582163429765850575515733645397242232805282546779273094004451741948172728387691016050683476790636659766173618554392175739615148856082483523326453560592954680400219365486741864406498360112604095181208759701401410871116311695216128780457472851389528535958056436519402450062319859597529799770877497225911307",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.382277042872073e-193,
            "status": "finite",
            "log2": -639.8797811145273
          },
          "falseMass": {
            "numerator": "26934604588695176057805644728174880736594453401629578541417048308270246348563255188529446987394175555165543614227560171745031119642018353375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.22835029944882e-12,
            "status": "finite",
            "log2": -36.82253392469312
          },
          "noiseInformation": 2.2061144943796687,
          "jointInformation": 3.2061144943796687,
          "informationDensity": -603.0572471898344,
          "difference": 1.737118900790387,
          "margin": -1.717118900790387,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "884467056134897769177403028352204277531894146980966017349124212298943513062971345024451521058208349266478534208013045806724329989399740544099720742247653959918481338241",
            "value": 3.453985473296893e+181,
            "status": "finite",
            "log2": 603.0572471898342
          }
        },
        {
          "k": 325,
          "count": "14586124331108772265150133760488550798894227072882479456275078468478656484145024348249792830096538146797340541858617200698847621713831477520",
          "singleLikelihood": {
            "numerator": "98274117348321974353044780928022697503543794108996224149902690255438168118107927224939057895356483251830948245334782867413814443266637838233302304694183773324275704249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1106.2271721912766
          },
          "trueMass": {
            "numerator": "17917981177157473131031393761533074056075710324910871829350845890268631624036449582705619814057239344080580425676053965240476637926640233493646076830483098303285490709575676585542491298814005513222164926125772782218651960928610063389615659840728930033295201887194131854279363405603186562371620961277649781",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.4334384941725977e-194,
            "status": "finite",
            "log2": -643.9345704052481
          },
          "falseMass": {
            "numerator": "911632770694298266571883360030534424930889192055154966017192404279916030259064021765612051881033634174833783866163575043677976357114467345",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.455968162163053e-12,
            "status": "finite",
            "log2": -37.70739821397166
          },
          "noiseInformation": 2.2124543443825533,
          "jointInformation": 3.2124543443825533,
          "informationDensity": -606.2271721912766,
          "difference": 1.7434587507932717,
          "margin": -1.7234587507932717,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "98274117348321974353044780928022697503543794108996224149902690255438168118107927224939057895356483251830948245334782867413814443266637838233302304694183773324275704249",
            "value": 3.108586925967204e+182,
            "status": "finite",
            "log2": 606.2271721912766
          }
        },
        {
          "k": 326,
          "count": "7829974717619739712887341742593547207995367293725257376834781386453266517562513070379490016156117103342130658973184080129749490183805241000",
          "singleLikelihood": {
            "numerator": "10919346372035774928116086769780299722615977123221802683322521139493129790900880802771006432817387027981216471703864763045979382585181982025922478299353752591586189361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1109.3970971927188
          },
          "trueMass": {
            "numerator": "85498206025972946092174339693750182953326497801210704025532325311438596706377060040176781662168149562756689147738498811645082798559292184359592731979128621760735129493544469051668329305860967002423418188739202096476185225971554494701642548660601574800999600007061297191517071465045879984049997770241001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.549820602597295e-196,
            "status": "finite",
            "log2": -648.0020124490892
          },
          "falseMass": {
            "numerator": "978746839702467464110917717824193400999420911715657172104347673306658314695314133797436252019514637917766332371648010016218686272975655125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.3920074490139088e-12,
            "status": "finite",
            "log2": -38.60491525637042
          },
          "noiseInformation": 2.2187941943854375,
          "jointInformation": 3.2187941943854375,
          "informationDensity": -609.3970971927188,
          "difference": 1.7497986007961563,
          "margin": -1.7297986007961563,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "10919346372035774928116086769780299722615977123221802683322521139493129790900880802771006432817387027981216471703864763045979382585181982025922478299353752591586189361",
            "value": 2.7977282333704836e+183,
            "status": "finite",
            "log2": 609.3970971927188
          }
        },
        {
          "k": 327,
          "count": "4166408565338944067407943312572713193245241312257476402352452480865040899253447321853306614101420110035262185508666758234178627804226642000",
          "singleLikelihood": {
            "numerator": "1213260708003974992012898529975588858068441902580200298146946793277014421211208978085667381424154114220135163522651640338442153620575775780658053144372639176842909929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1112.5670221941612
          },
          "trueMass": {
            "numerator": "2527469902908476489982727676981401942555013696468002463547846517871273501004010949199925247913227662915335357068722187092464221364138097193097032851574648349705727579319867076960633588042780879786217255324604343320906596894164200149182093691291993546614667074622607154489291613135912863952548354064209",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.054939805816953e-197,
            "status": "finite",
            "log2": -652.0821407801809
          },
          "falseMass": {
            "numerator": "260400535333684004212996457035794574577827582016092275147028280054065056203340457615831663381338756877203886594291672389636164237764165125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.2728113031450159e-12,
            "status": "finite",
            "log2": -39.51511858601975
          },
          "noiseInformation": 2.2251340443883225,
          "jointInformation": 3.2251340443883225,
          "informationDensity": -612.5670221941613,
          "difference": 1.7561384507990412,
          "margin": -1.7361384507990412,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1213260708003974992012898529975588858068441902580200298146946793277014421211208978085667381424154114220135163522651640338442153620575775780658053144372639176842909929",
            "value": 2.5179554100334352e+184,
            "status": "finite",
            "log2": 612.5670221941612
          }
        },
        {
          "k": 328,
          "count": "2197526468913528425797482295960607873266544960428486029289555729236744132837946300855555012925444143402744994185973625532051532347961003250",
          "singleLikelihood": {
            "numerator": "134806745333774999112544281108398762007604655842244477571882977030779380134578775342851931269350457135570573724739071148715794846730641753406450349374737686315878881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1115.7369471956035
          },
          "trueMass": {
            "numerator": "1184965564236223395032552542324613918867255743872532320308339966373252888004590499218393137910537630580902484479373816712727128173430598413023812149925241638208918350196035242043874283824935209222264458458418838467525315075041752373464775633044755782017174536340680319042405011036620394210815352989453",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9624139105905586e-198,
            "status": "finite",
            "log2": -656.1749895586046
          },
          "falseMass": {
            "numerator": "1098763234456764212898741147980303936633272480214243014644777864618372066418973150427777506462722071701372497092986812766025766173980501625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.713303519636821e-13,
            "status": "finite",
            "log2": -40.4380423630011
          },
          "noiseInformation": 2.231473894391207,
          "jointInformation": 3.231473894391207,
          "informationDensity": -615.7369471956035,
          "difference": 1.7624783008019258,
          "margin": -1.7424783008019258,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "134806745333774999112544281108398762007604655842244477571882977030779380134578775342851931269350457135570573724739071148715794846730641753406450349374737686315878881",
            "value": 2.2661598690300917e+185,
            "status": "finite",
            "log2": 615.7369471956035
          }
        },
        {
          "k": 329,
          "count": "1148858822653881122301419315821351228577038702716412149051074727746869273094610224155487727122116695031222306990843354381498065543614871000",
          "singleLikelihood": {
            "numerator": "14978527259308333234727142345377640223067183982471608619098108558975486681619863926983547918816717459507841524971007905412866094081182417045161149930526409590653209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1118.9068721970457
          },
          "trueMass": {
            "numerator": "17208213192218036469571009564322323036572778448672370744092745205690602561363522953863865224638000038831072891797728510181447656689468332239116488499420935644371323559077850526135290173749481255169662855019253648802292653909758646423162901797002532464281832172458376804736040349400431256692016271039",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.720821319221804e-199,
            "status": "finite",
            "log2": -660.28059357908
          },
          "falseMass": {
            "numerator": "143607352831735140287677414477668903572129837839551518631384340968358659136826278019435965890264586878902788373855419297687258192951858875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.5096905938526845e-13,
            "status": "finite",
            "log2": -41.37372138203426
          },
          "noiseInformation": 2.2378137443940913,
          "jointInformation": 3.2378137443940913,
          "informationDensity": -618.9068721970457,
          "difference": 1.7688181508048104,
          "margin": -1.7488181508048104,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "14978527259308333234727142345377640223067183982471608619098108558975486681619863926983547918816717459507841524971007905412866094081182417045161149930526409590653209",
            "value": 2.0395438821270827e+186,
            "status": "finite",
            "log2": 618.9068721970457
          }
        },
        {
          "k": 330,
          "count": "595317753557011127010735463652882000262647327771231749962829631650650441512661661607843640417824105607087922713437010906776270327145887700",
          "singleLikelihood": {
            "numerator": "1664280806589814803858571371708626691451909331385734291010900950997276297957762658553727546535190828834204613885667545045874010453464713005017905547836267732294801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1122.076797198488
          },
          "trueMass": {
            "numerator": "9907759110670990694601490355215882960450993652265910428417035118427922686845664731012528462670363658720920755883540657377197135669693888258885250954212053855850155988559974545350621615189095268127987704405024828098289709826830735819396822246759033843071357917476035129999538382988127087186312398477",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.907759110670992e-201,
            "status": "finite",
            "log2": -664.3989882798822
          },
          "falseMass": {
            "numerator": "148829438389252781752683865913220500065661831942807937490707407912662610378165415401960910104456026401771980678359252726694067581786471925",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.8186578531782093e-13,
            "status": "finite",
            "log2": -42.32219108139418
          },
          "noiseInformation": 2.244153594396976,
          "jointInformation": 3.244153594396976,
          "informationDensity": -622.076797198488,
          "difference": 1.775158000807695,
          "margin": -1.755158000807695,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1664280806589814803858571371708626691451909331385734291010900950997276297957762658553727546535190828834204613885667545045874010453464713005017905547836267732294801",
            "value": 1.835589493914374e+187,
            "status": "finite",
            "log2": 622.0767971984881
          }
        },
        {
          "k": 331,
          "count": "305752320557981545594637549308126707083534881332656790011120958853808383858466714420946884806737456051978691423819612852422857871948039000",
          "singleLikelihood": {
            "numerator": "184920089621090533762063485745402965716878814598414921223433438999697366439751406505969727392798980981578290431740838338430445605940523667224211727537363081366089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1125.2467221999304
          },
          "trueMass": {
            "numerator": "56539746519438349046064228277499164259035546186143161222923664657024063671156864863112784110572736555305690785505267262642615409998253138771752019544009706461716230884699418352118350942670231473036519293348580757862009085953716854289944940649514459661702948840917286743871148879086324431744649471",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.653974651943835e-202,
            "status": "finite",
            "log2": -668.5302097519941
          },
          "falseMass": {
            "numerator": "38219040069747693199329693663515838385441860166582098751390119856726047982308339302618360600842182006497336427977451606552857233993504875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.340538822969656e-14,
            "status": "finite",
            "log2": -43.28348755206372
          },
          "noiseInformation": 2.250493444399861,
          "jointInformation": 3.250493444399861,
          "informationDensity": -625.2467221999304,
          "difference": 1.7814978508105797,
          "margin": -1.7614978508105796,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "184920089621090533762063485745402965716878814598414921223433438999697366439751406505969727392798980981578290431740838338430445605940523667224211727537363081366089",
            "value": 1.6520305445229366e+188,
            "status": "finite",
            "log2": 625.2467221999304
          }
        },
        {
          "k": 332,
          "count": "155638982452707473510523330822510281617823478750659631059877837488836195397833960051626576904634427930073490513932272807408021025178369250",
          "singleLikelihood": {
            "numerator": "20546676624565614862451498416155885079653201622046102358159270999966374048861267389552191932533220109064254492415648704270049511771169296358245747504151453485121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1128.4166472013726
          },
          "trueMass": {
            "numerator": "12791455370528890212563393010572100080022767477186337679617268175417760054117148811065676726488343343837565920683253236126642576023701178651172812989207015250374890253700403884214191846467562408223790844144458029556465241668243839859438681351764315505793572093862143855039122035563037254303675717",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1978638426322223e-203,
            "status": "finite",
            "log2": -672.6742947485011
          },
          "falseMass": {
            "numerator": "77819491226353736755261665411255140808911739375329815529938918744418097698916980025813288452317213965036745256966136403704010512589184625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.754671870728529e-14,
            "status": "finite",
            "log2": -44.25764754712844
          },
          "noiseInformation": 2.256833294402745,
          "jointInformation": 3.256833294402745,
          "informationDensity": -628.4166472013726,
          "difference": 1.7878377008134638,
          "margin": -1.7678377008134638,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "20546676624565614862451498416155885079653201622046102358159270999966374048861267389552191932533220109064254492415648704270049511771169296358245747504151453485121",
            "value": 1.486827490070643e+189,
            "status": "finite",
            "log2": 628.4166472013726
          }
        },
        {
          "k": 333,
          "count": "78520567723888455104408166901446628563946980270603057111289719814187630110618934800820615375311062739496535754776642137070713309999898000",
          "singleLikelihood": {
            "numerator": "2282964069396179429161277601795098342183689069116233595351030111107374894317918598839132436948135567673806054712849856030005501307907699595360638611572383720569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1131.586572202815
          },
          "trueMass": {
            "numerator": "89629817411113344832776527601606306867026398739043407164485362590514835214034075753212950035453857264127088533316088741628126158324232483041250941866315422174799030806709536726225568493766703561127663572583789996892148840518225104120190960422772981522077081738773780766039894143084345125250981",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7925963482222668e-204,
            "status": "finite",
            "log2": -676.8312806942359
          },
          "falseMass": {
            "numerator": "4907535482743028444025510431340414285246686266912691069455607488386726881913683425051288460956941421218533484673540133566919581874993625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.3987533762234022e-14,
            "status": "finite",
            "log2": -45.24470849142091
          },
          "noiseInformation": 2.2631731444056298,
          "jointInformation": 3.2631731444056298,
          "informationDensity": -631.5865722028149,
          "difference": 1.7941775508163484,
          "margin": -1.7741775508163484,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2282964069396179429161277601795098342183689069116233595351030111107374894317918598839132436948135567673806054712849856030005501307907699595360638611572383720569",
            "value": 1.3381447410635788e+190,
            "status": "finite",
            "log2": 631.586572202815
          }
        },
        {
          "k": 334,
          "count": "39260283861944227552204083450723314281973490135301528555644859907093815055309467400410307687655531369748267877388321068535356654999949000",
          "singleLikelihood": {
            "numerator": "253662674377353269906808622421677593575965452124025955039003345678597210479768733204348048549792840852645117190316650670000611256434188843928959845730264857841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1134.7564972042574
          },
          "trueMass": {
            "numerator": "9958868601234816092530725289067367429669599859893711907165040287834981690448230639245883337272650807125232059257343193514236239813803609226805660207368380241644336756301059636247285388196300395680851508064865555210238760057580567124465662269196997946897453526530420085115543793676038347250109",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.958868601234817e-206,
            "status": "finite",
            "log2": -681.0012056956782
          },
          "falseMass": {
            "numerator": "4907535482743028444025510431340414285246686266912691069455607488386726881913683425051288460956941421218533484673540133566919581874993625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.1993766881117011e-14,
            "status": "finite",
            "log2": -46.24470849142091
          },
          "noiseInformation": 2.269512994408515,
          "jointInformation": 3.269512994408515,
          "informationDensity": -634.7564972042575,
          "difference": 1.800517400819233,
          "margin": -1.780517400819233,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "253662674377353269906808622421677593575965452124025955039003345678597210479768733204348048549792840852645117190316650670000611256434188843928959845730264857841",
            "value": 1.204330266957221e+191,
            "status": "finite",
            "log2": 634.7564972042574
          }
        },
        {
          "k": 335,
          "count": "19454349615172363503480232396477821405395818992418070866379244013664397908004094293934659928808412559337947664616302380229460312626840400",
          "singleLikelihood": {
            "numerator": "28184741597483696656312069157964177063996161347113995004333705075399690053307637022705338727754760094738346354479627852222290139603798760436551093970029428649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1137.9264222056995
          },
          "trueMass": {
            "numerator": "1370789542126848649552322054714082084017540279222517559361025445920901294041796257143297374782139331660686999864609427962987741135233332613308241786420523316843250332956862271655928171177931895259553358489857116222968187536947242241012686514665590098826680999505845550687545828980283885276549",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.4831581685073954e-207,
            "status": "finite",
            "log2": -685.1841085511188
          },
          "falseMass": {
            "numerator": "1215896850948272718967514524779863837837238687026129429148702750854024869250255893370916245550525784958621729038518898764341269539177525",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.943180006762459e-15,
            "status": "finite",
            "log2": -47.25768634541913
          },
          "noiseInformation": 2.275852844411399,
          "jointInformation": 3.275852844411399,
          "informationDensity": -637.9264222056995,
          "difference": 1.8068572508221177,
          "margin": -1.7868572508221177,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "28184741597483696656312069157964177063996161347113995004333705075399690053307637022705338727754760094738346354479627852222290139603798760436551093970029428649",
            "value": 1.0838972402614989e+192,
            "status": "finite",
            "log2": 637.9264222056997
          }
        },
        {
          "k": 336,
          "count": "9553475257450714220459042694698930154435446826633874086168378756710195401252010590771484786468416881817742156731219918862681403522109125",
          "singleLikelihood": {
            "numerator": "3131637955275966295145785461996019673777351260790443889370411675044410005923070780300593191972751121637594039386625316913587793289310973381839010441114380961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1141.096347207142
          },
          "trueMass": {
            "numerator": "239344205768179922937707025426268300384014969388058621475734601668728797372377124263115414644500518226469158706519106469728018293453439027720486661121043753734535772421039444257384283856464299172302967355371877435756350204863804200811738915259071287096722079278798429485127049504494011714953",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.991802572102249e-208,
            "status": "finite",
            "log2": -689.3800287610941
          },
          "falseMass": {
            "numerator": "9553475257450714220459042694698930154435446826633874086168378756710195401252010590771484786468416881817742156731219918862681403522109125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.9185258961779934e-15,
            "status": "finite",
            "log2": -48.28368155395208
          },
          "noiseInformation": 2.2821926944142836,
          "jointInformation": 3.2821926944142836,
          "informationDensity": -641.0963472071418,
          "difference": 1.8131971008250023,
          "margin": -1.7931971008250023,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3131637955275966295145785461996019673777351260790443889370411675044410005923070780300593191972751121637594039386625316913587793289310973381839010441114380961",
            "value": 9.75507516235349e+192,
            "status": "finite",
            "log2": 641.0963472071419
          }
        },
        {
          "k": 337,
          "count": "4649168968017558255653658759438055030645143262812923887630902421663121797641928002630633545937152429133856717222314737962847923375744500",
          "singleLikelihood": {
            "numerator": "347959772808440699460642829110668852641927917865604876596712408338267778435896753366732576885861235737510448820736146323731977032145663709093223382346042329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1144.2662722085843
          },
          "trueMass": {
            "numerator": "3235447555718884550097589199629739635919753954800660560667694912106126176151487667256093636803337041637070724354527980632657022760168480097771168185282820277980866030089883684323361568781746213671091876548053733882627879459088681910082853783587841335629939086854841941605739871310337777881",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6177237778594423e-209,
            "status": "finite",
            "log2": -693.5890065391001
          },
          "falseMass": {
            "numerator": "1162292242004389563913414689859513757661285815703230971907725605415780449410482000657658386484288107283464179305578684490711980843936125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.4202915340450767e-15,
            "status": "finite",
            "log2": -49.32273433051586
          },
          "noiseInformation": 2.2885325444171687,
          "jointInformation": 3.2885325444171687,
          "informationDensity": -644.2662722085844,
          "difference": 1.8195369508278871,
          "margin": -1.7995369508278871,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "347959772808440699460642829110668852641927917865604876596712408338267778435896753366732576885861235737510448820736146323731977032145663709093223382346042329",
            "value": 8.779567646118141e+193,
            "status": "finite",
            "log2": 644.2662722085843
          }
        },
        {
          "k": 338,
          "count": "2242054857357579868850728928368056124246030626741143768295376019914464062176432734996429786946023212866327351796560065940663347663450750",
          "singleLikelihood": {
            "numerator": "38662196978715633273404758790074316960214213096178319621856934259807530937321861485192508542873470637501160980081794035970219670238407078788135931371782481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1147.4361972100266
          },
          "trueMass": {
            "numerator": "346731066128979738110392530926789980706719194367197680071554418588624961678298809837438042602855974876293575325304444998766005726434886427308810265746942607041999449641453675571800089225131251037730424639929492848697136325990437311862922529076146047145088804179710214649398815926091425243",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.668276653224495e-211,
            "status": "finite",
            "log2": -697.8110828225936
          },
          "falseMass": {
            "numerator": "1121027428678789934425364464184028062123015313370571884147688009957232031088216367498214893473011606433163675898280032970331673831725375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.84933491270259e-16,
            "status": "finite",
            "log2": -50.37488561256697
          },
          "noiseInformation": 2.2948723944200533,
          "jointInformation": 3.2948723944200533,
          "informationDensity": -647.4361972100266,
          "difference": 1.8258768008307718,
          "margin": -1.8058768008307717,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "38662196978715633273404758790074316960214213096178319621856934259807530937321861485192508542873470637501160980081794035970219670238407078788135931371782481",
            "value": 7.901610881506327e+194,
            "status": "finite",
            "log2": 647.4361972100266
          }
        },
        {
          "k": 339,
          "count": "1071424445108931972725127098512168413356510211009042154760622168808681941217056351237231933584825252166209530947028704077839121892268500",
          "singleLikelihood": {
            "numerator": "4295799664301737030378306532230479662246023677353146624650770473311947881924651276132500949208163404166795664453532670663357741137600786532015103485753609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1150.6061222114688
          },
          "trueMass": {
            "numerator": "9205249543247249684346704360888229576284580381430026904554542086423671548981384331967381662022724996715758636954985265453964753799156276831207352187971927620584056185171336519605312103322068611621161716104322818991959371486471787040608562718835735764913862057868412778302623431666144033",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.6026247716236253e-212,
            "status": "finite",
            "log2": -702.0462992842876
          },
          "falseMass": {
            "numerator": "267856111277232993181281774628042103339127552752260538690155542202170485304264087809307983396206313041552382736757176019459780473067125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 3.273133498105662e-16,
            "status": "finite",
            "log2": -51.4401770728187
          },
          "noiseInformation": 2.3012122444229375,
          "jointInformation": 3.3012122444229375,
          "informationDensity": -650.6061222114687,
          "difference": 1.8322166508336564,
          "margin": -1.8122166508336564,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4295799664301737030378306532230479662246023677353146624650770473311947881924651276132500949208163404166795664453532670663357741137600786532015103485753609",
            "value": 7.111449793355694e+195,
            "status": "finite",
            "log2": 650.6061222114688
          }
        },
        {
          "k": 340,
          "count": "507350987242758963555133714295467983971759246977811137989588732877052330988076683968218650903402545878705101419034180460388525366633025",
          "singleLikelihood": {
            "numerator": "477311073811304114486478503581164406916224853039238513850085608145771986880516808459166772134240378240755073828170296740373082348622309614668344831750401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1153.7760472129112
          },
          "trueMass": {
            "numerator": "9686569780802661432547839229431404978966127068040747265577001803360856989450999198998355866572932839681288500325180573451557682102380134443296625504990067626889104874592059997754609468201653898503313962698012901030754632740666390284561951619167016066347266609913819982396878251622543721",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4216424452006653e-213,
            "status": "finite",
            "log2": -706.294698343753
          },
          "falseMass": {
            "numerator": "507350987242758963555133714295467983971759246977811137989588732877052330988076683968218650903402545878705101419034180460388525366633025",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.5499249799853283e-16,
            "status": "finite",
            "log2": -52.51865113084176
          },
          "noiseInformation": 2.3075520944258225,
          "jointInformation": 3.3075520944258225,
          "informationDensity": -653.7760472129113,
          "difference": 1.838556500836541,
          "margin": -1.818556500836541,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "477311073811304114486478503581164406916224853039238513850085608145771986880516808459166772134240378240755073828170296740373082348622309614668344831750401",
            "value": 6.400304814020125e+196,
            "status": "finite",
            "log2": 653.7760472129112
          }
        },
        {
          "k": 341,
          "count": "238053249146162563544930775035996708021939822628884991432065094605068542399097564325263883121831106570653420020661199042997548559124000",
          "singleLikelihood": {
            "numerator": "53034563756811568276275389286796045212913872559915390427787289793974665208946312051018530237137819804528341536463366304485898038735812179407593870194489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1156.9459722143536
          },
          "trueMass": {
            "numerator": "3156262554839576876033834874366700872911739025102882784482568199205231993956011469207675420844878735640693548493053298615691652688947583722155954872919539793707756557377666991774066297882585173836205266437931867393533604672748905273562056571901927685352644708345982398956297898866909",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2625050219358307e-214,
            "status": "finite",
            "log2": -710.5563231793321
          },
          "falseMass": {
            "numerator": "7439164035817580110779086719874897125685619457152655982252034206408391949971798885164496347557222080332919375645662470093673392472625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 7.272375272658431e-17,
            "status": "finite",
            "log2": -53.61035096497858
          },
          "noiseInformation": 2.313891944428707,
          "jointInformation": 3.313891944428707,
          "informationDensity": -656.9459722143536,
          "difference": 1.8448963508394256,
          "margin": -1.8248963508394256,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "53034563756811568276275389286796045212913872559915390427787289793974665208946312051018530237137819804528341536463366304485898038735812179407593870194489",
            "value": 5.7602743326181114e+197,
            "status": "finite",
            "log2": 656.9459722143536
          }
        },
        {
          "k": 342,
          "count": "110673878989005402349836237516735311624235180695885127595609210649724848659229569379289349170675865335479221588553013590165526961698000",
          "singleLikelihood": {
            "numerator": "5892729306312396475141709920755116134768208062212821158643032199330518356549590227890947804126424422725371281829262922720655337637312464378621541132721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1160.115897215796
          },
          "trueMass": {
            "numerator": "326085605080891957952813349593440830924604616628562938747711724284361200155299430541923581490796438574964440682518177049964244819715832236402077209093051869525362763237848636577047785161358702170212240002359432693678910424280101324559042881697470111742086100472391943751820250760129",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.52171210161784e-216,
            "status": "finite",
            "log2": -714.8312177403759
          },
          "falseMass": {
            "numerator": "6917117436812837646864764844795956976514698793492820474725575665607803041201848086205584323167241583467451349284563349385345435106125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.3810165741306745e-17,
            "status": "finite",
            "log2": -54.715320524580136
          },
          "noiseInformation": 2.3202317944315918,
          "jointInformation": 3.3202317944315918,
          "informationDensity": -660.1158972157959,
          "difference": 1.8512362008423102,
          "margin": -1.8312362008423102,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5892729306312396475141709920755116134768208062212821158643032199330518356549590227890947804126424422725371281829262922720655337637312464378621541132721",
            "value": 5.184246899356301e+198,
            "status": "finite",
            "log2": 660.1158972157957
          }
        },
        {
          "k": 343,
          "count": "50980970496393159099924564220536965704458188192273615627131939599581708711831696682005006323518328638500632685106052907423187346788000",
          "singleLikelihood": {
            "numerator": "654747700701377386126856657861679570529800895801424573182559133258946484061065580876771978236269380302819031314362546968961704181923607153180171236969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1163.285822217238
          },
          "trueMass": {
            "numerator": "8344918303009544761345077621600850548443072469600412102711119604296901461700244578170379960405869338329183937129554903449036391563832441423959863789553319628281068446967943728405174936102150136523086154903270224425213451091068352653114476078425700948372141865020720296855782251393",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.337967321203818e-217,
            "status": "finite",
            "log2": -719.119426759814
          },
          "falseMass": {
            "numerator": "1593155328012286221872642631891780178264318381008550488347873112486928397244740521312656447609947769953144771409564153356974604587125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.5574362061593193e-17,
            "status": "finite",
            "log2": -55.83360454257581
          },
          "noiseInformation": 2.3265716444344764,
          "jointInformation": 3.3265716444344764,
          "informationDensity": -663.2858222172382,
          "difference": 1.8575760508451948,
          "margin": -1.8375760508451948,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "654747700701377386126856657861679570529800895801424573182559133258946484061065580876771978236269380302819031314362546968961704181923607153180171236969",
            "value": 4.6658222094206704e+199,
            "status": "finite",
            "log2": 663.2858222172381
          }
        },
        {
          "k": 344,
          "count": "23267477813760831333395804019256696556976556820310923411220100340506768220225512729868563932535981384431974801051309030422791899551500",
          "singleLikelihood": {
            "numerator": "72749744522375265125206295317964396725533432866824952575839903695438498229007286764085775359585486700313225701595838552106856020213734128131130137441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1166.4557472186805
          },
          "trueMass": {
            "numerator": "3385406133262270096979786011863910946009205110406368734174795291665668034849970022668603756547083943456542320747648888479324841022019879337368730271214137420258728026289320840722512829374774086393086631317347352027799772148056153401909490295382002710321514916817191438259322515423",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.692703066631135e-218,
            "status": "finite",
            "log2": -723.4209957670668
          },
          "falseMass": {
            "numerator": "5816869453440207833348951004814174139244139205077730852805025085126692055056378182467140983133995346107993700262827257605697974887875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.108066406017824e-18,
            "status": "finite",
            "log2": -56.965248548386285
          },
          "noiseInformation": 2.332911494437361,
          "jointInformation": 3.332911494437361,
          "informationDensity": -666.4557472186805,
          "difference": 1.8639159008480795,
          "margin": -1.8439159008480794,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "72749744522375265125206295317964396725533432866824952575839903695438498229007286764085775359585486700313225701595838552106856020213734128131130137441",
            "value": 4.199239988478604e+200,
            "status": "finite",
            "log2": 666.4557472186805
          }
        },
        {
          "k": 345,
          "count": "10520946489700549820318102686968245399676356127444939281595175806142190847406318799592741952103226365134458170910157126799871119797200",
          "singleLikelihood": {
            "numerator": "8083304946930585013911810590884932969503714762980550286204433743937610914334142973787308373287276300034802855732870950234095113357081569792347793049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1169.6256722201229
          },
          "trueMass": {
            "numerator": "212610047016471068892450329247491991778355876498950693450591008655331808951930484515419559589913484371666909032461041305464845088339412712008664219931322639919630262520585366808660225999381947454638290855678819209475348009298212532487069438840415629150626540669678689359281124157",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.504401880658843e-220,
            "status": "finite",
            "log2": -727.7359711013123
          },
          "falseMass": {
            "numerator": "657559155606284363769881417935515337479772257965308705099698487883886927962894924974546372006451647820903635681884820424991944987325",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.214082200981973e-18,
            "status": "finite",
            "log2": -58.11029888118958
          },
          "noiseInformation": 2.3392513444402456,
          "jointInformation": 3.3392513444402456,
          "informationDensity": -669.6256722201229,
          "difference": 1.870255750850964,
          "margin": -1.850255750850964,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8083304946930585013911810590884932969503714762980550286204433743937610914334142973787308373287276300034802855732870950234095113357081569792347793049",
            "value": 3.779315989630743e+201,
            "status": "finite",
            "log2": 669.6256722201229
          }
        },
        {
          "k": 346,
          "count": "4713140768507471740315913053410630164594899421254235805338879335121501680196472294615245672184971348542893111245879637728265964071000",
          "singleLikelihood": {
            "numerator": "898144994103398334879090065653881441055968306997838920689381527104178990481571441531923152587475144448311428414763438914899457039675729976927532561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1172.795597221565
          },
          "trueMass": {
            "numerator": "4233083787739629502675632759583976714919095806979750479748440120947518354213131034025694506928271044008782389214060552645735515567451377053480148245260759047853910172214609101521173414245883346881044968867079894344082073402854584782979545667342893065940541272164444039908615831",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.23308378773963e-221,
            "status": "finite",
            "log2": -732.0643999251172
          },
          "falseMass": {
            "numerator": "589142596063433967539489131676328770574362427656779475667359916890187710024559036826905709023121418567861638905734954716033245508875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.4398345120005946e-18,
            "status": "finite",
            "log2": -59.26880270355207
          },
          "noiseInformation": 2.34559119444313,
          "jointInformation": 3.34559119444313,
          "informationDensity": -672.7955972215649,
          "difference": 1.8765956008538487,
          "margin": -1.8565956008538487,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "898144994103398334879090065653881441055968306997838920689381527104178990481571441531923152587475144448311428414763438914899457039675729976927532561",
            "value": 3.4013843906676693e+202,
            "status": "finite",
            "log2": 672.795597221565
          }
        },
        {
          "k": 347,
          "count": "2091710888617148841523488790274458343941252192718018196029358552186487777378261479454604707540304287249583686258978283026377401922000",
          "singleLikelihood": {
            "numerator": "99793888233710926097676673961542382339552034110870991187709058567130998942396826836880350287497238272034603157195937657211050782186192219658614729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1175.9655222230074
          },
          "trueMass": {
            "numerator": "104369981317947957638816433713725970876967780063221513589698971922177045556968008203643444455163903422566840848377413561870520236533383295907131416870021916965978572930043195906862104674009932023644080244241162940920371326295165875212752166629972067267826345807448668291054569",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0873996263589594e-222,
            "status": "finite",
            "log2": -736.4063302384428
          },
          "falseMass": {
            "numerator": "130731930538571802595218049392153646496328262044876137251834909511655486086141342465912794221269017953098980391186142689148587620125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 6.390043655564599e-19,
            "status": "finite",
            "log2": -60.44080801543544
          },
          "noiseInformation": 2.351931044446015,
          "jointInformation": 3.351931044446015,
          "informationDensity": -675.9655222230074,
          "difference": 1.8829354508567333,
          "margin": -1.8629354508567333,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "99793888233710926097676673961542382339552034110870991187709058567130998942396826836880350287497238272034603157195937657211050782186192219658614729",
            "value": 3.061245951600902e+203,
            "status": "finite",
            "log2": 675.9655222230074
          }
        },
        {
          "k": 348,
          "count": "919631511374780956187051106068942892594860877832921793081873156564748936605959788380903793832375160773523862062137003744355581879500",
          "singleLikelihood": {
            "numerator": "11088209803745658455297408217949153593283559345652332354189895396347888771377425204097816698610804252448289239688437517467894531354021357739846081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1179.1354472244498
          },
          "trueMass": {
            "numerator": "20394134280518566435171027277394729941476462770974318747412442789390916947913288959332627077445820209007313728993287707491940735874339264717485449273452558487605008503571658970306388269634124648298268553472411149375244971804802527340422837157580748776471814698007211045378479",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0197067140259283e-223,
            "status": "finite",
            "log2": -740.7618108930412
          },
          "falseMass": {
            "numerator": "229907877843695239046762776517235723148715219458230448270468289141187234151489947095225948458093790193380965515534250936088895469875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.8094157451189185e-19,
            "status": "finite",
            "log2": -61.62636366859152
          },
          "noiseInformation": 2.3582708944488995,
          "jointInformation": 3.3582708944488995,
          "informationDensity": -679.1354472244498,
          "difference": 1.889275300859618,
          "margin": -1.869275300859618,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11088209803745658455297408217949153593283559345652332354189895396347888771377425204097816698610804252448289239688437517467894531354021357739846081",
            "value": 2.7551213564408117e+204,
            "status": "finite",
            "log2": 679.1354472244498
          }
        },
        {
          "k": 349,
          "count": "400527191200477665731896183732032434597188691778235279508437592543959422246721741644405090723555943947208100382363394180922774916000",
          "singleLikelihood": {
            "numerator": "1232023311527295383921934246438794843698173260628036928243321710705320974597491689344201855401200472494254359965381946385321614594891261971094009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1182.305372225892
          },
          "trueMass": {
            "numerator": "123364709114884674392947952330627147051274368878864073925767721425796695959997609114078291776972487733568596259430903037996457810128126720672468492898948937046958026605495549326909066260123644800276059381081124431114184802384988226510039447944614526186871849494472145769561",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.934588364595387e-225,
            "status": "finite",
            "log2": -745.1308916072496
          },
          "falseMass": {
            "numerator": "12516474725014927054121755741626013581162146618069852484638674766998731945210054426387659085111123248350253136948856068153836716125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.223585080968698e-19,
            "status": "finite",
            "log2": -62.825519381357594
          },
          "noiseInformation": 2.3646107444517837,
          "jointInformation": 3.3646107444517837,
          "informationDensity": -682.3053722258918,
          "difference": 1.8956151508625025,
          "margin": -1.8756151508625025,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1232023311527295383921934246438794843698173260628036928243321710705320974597491689344201855401200472494254359965381946385321614594891261971094009",
            "value": 2.4796092207967307e+205,
            "status": "finite",
            "log2": 682.3053722258919
          }
        },
        {
          "k": 350,
          "count": "172798873917920364358618067838676850354787121310038649159354504211822493597871379966586196283591278674366923307819635775198111463760",
          "singleLikelihood": {
            "numerator": "136891479058588375991326027382088315966463695625337436471480190078368997177499076593800206155688941388250484440597994042813512732765695774566001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1185.4752972273343
          },
          "trueMass": {
            "numerator": "295683667878533108465637155586106336583213169852515478774459141830084144285073634543267016798775327742362825955143910456150240148084875155897503848059385547525248603451267110291480460401248735949868015341956345858702252462859257495285967565708520531019327766248655460495297",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.365469343028265e-226,
            "status": "finite",
            "log2": -749.5136229811992
          },
          "falseMass": {
            "numerator": "10799929619870022772413629239917303147174195081877415572459656513238905849866961247911637267724454917147932706738727235949881966485",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.278895635036383e-20,
            "status": "finite",
            "log2": -64.03832575386485
          },
          "noiseInformation": 2.3709505944546687,
          "jointInformation": 3.3709505944546687,
          "informationDensity": -685.4752972273344,
          "difference": 1.9019550008653872,
          "margin": -1.8819550008653871,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "136891479058588375991326027382088315966463695625337436471480190078368997177499076593800206155688941388250484440597994042813512732765695774566001",
            "value": 2.2316482987170578e+206,
            "status": "finite",
            "log2": 685.4752972273343
          }
        },
        {
          "k": 351,
          "count": "73845672614495882204537635828494380493498769790614807333057480432402775041825376054096665078457811399302103977700699049229962164000",
          "singleLikelihood": {
            "numerator": "15210164339843152887925114153565368440718188402815270719053354453152110797499897399311134017298771265361164937844221560312612525862855086062889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1188.6452222287767
          },
          "trueMass": {
            "numerator": "280801204063184338523871942626881611190135963772569305578783610474913717269775531380120623740527376773374003756072089701947046674344610784328113815820878962512106935851155850229326173220559103466161458064535940986421892177454185655542229407130598794890149825497298632949",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1232048162527373e-227,
            "status": "finite",
            "log2": -753.9100565124502
          },
          "falseMass": {
            "numerator": "2307677269202996318891801119640449390421836555956712729158046263512586720057043001690520783701806606228190749303146845288436317625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.255938305571104e-20,
            "status": "finite",
            "log2": -65.26483428367351
          },
          "noiseInformation": 2.3772904444575533,
          "jointInformation": 3.3772904444575533,
          "informationDensity": -688.6452222287767,
          "difference": 1.9082948508682718,
          "margin": -1.8882948508682718,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "15210164339843152887925114153565368440718188402815270719053354453152110797499897399311134017298771265361164937844221560312612525862855086062889",
            "value": 2.008483468845352e+207,
            "status": "finite",
            "log2": 688.6452222287767
          }
        },
        {
          "k": 352,
          "count": "31258537555567859228625306075129723561168513348868199694958990296670492844409037022898872433779016757090947422378989086179728302375",
          "singleLikelihood": {
            "numerator": "1690018259982572543102790461507263160079798711423918968783706050350234533055544155479014890810974585040129437538246840034734725095872787340321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1191.8151472302188
          },
          "trueMass": {
            "numerator": "422619993994085519596534539913185455225558167698109358901401595563253978517136910865030029670086657972047743026815569349395050045225727342069585439972838034487918519614365875597672725352154610267253103551675305120978403378188622855311032138004638590289215393930277740499",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.282749924926069e-229,
            "status": "finite",
            "log2": -758.3202446120675
          },
          "falseMass": {
            "numerator": "31258537555567859228625306075129723561168513348868199694958990296670492844409037022898872433779016757090947422378989086179728302375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 9.54928430483223e-21,
            "status": "finite",
            "log2": -66.50509738184866
          },
          "noiseInformation": 2.3836302944604375,
          "jointInformation": 3.3836302944604375,
          "informationDensity": -691.8151472302187,
          "difference": 1.9146347008711564,
          "margin": -1.8946347008711564,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1690018259982572543102790461507263160079798711423918968783706050350234533055544155479014890810974585040129437538246840034734725095872787340321",
            "value": 1.8076351219608165e+208,
            "status": "finite",
            "log2": 691.815147230219
          }
        },
        {
          "k": 353,
          "count": "13105562487886807835231006513085549821679716644851256529331248056394427594823052349544003173369106175777507701167394857661755775500",
          "singleLikelihood": {
            "numerator": "187779806664730282566976717945251462231088745713768774309300672261137170339504906164334987867886065004458826393138537781637191677319198593369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1194.9850722316612
          },
          "trueMass": {
            "numerator": "4921919980415852762062253061626648361141218824309111199040559973509725277033070727732486968143911345598289736226684314110046223378455118557310249064839473489472138881250090461792222486002430147903168030032101444594334568773364509174223540795143729254233858852823505319",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.4609599902079266e-230,
            "status": "finite",
            "log2": -762.7442406211521
          },
          "falseMass": {
            "numerator": "3276390621971701958807751628271387455419929161212814132332812014098606898705763087386000793342276543944376925291848714415438943875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.0036659408361754e-21,
            "status": "finite",
            "log2": -67.75916838949087
          },
          "noiseInformation": 2.3899701444633226,
          "jointInformation": 3.3899701444633226,
          "informationDensity": -694.9850722316613,
          "difference": 1.920974550874041,
          "margin": -1.900974550874041,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "187779806664730282566976717945251462231088745713768774309300672261137170339504906164334987867886065004458826393138537781637191677319198593369",
            "value": 1.626871609764735e+209,
            "status": "finite",
            "log2": 694.9850722316612
          }
        },
        {
          "k": 354,
          "count": "5442140355139437151917960331705016451375475555912809914722297921723109763951945467183526741483781378077100655569511423944288415250",
          "singleLikelihood": {
            "numerator": "20864422962747809174108524216139051359009860634863197145477852473459685593278322907148331985320673889384314043682059753515243519702133177041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1198.1549972331036
          },
          "trueMass": {
            "numerator": "454188472769071158834369868210368681159924147629277681267396306406735477541658127417875445271283721156904325941822093015804642082004332974215070064363717892625489275294264468225647649367455889354529629889967929915484734218257741901199535779589534337961316541974297101",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.135471181922678e-231,
            "status": "finite",
            "log2": -767.1820988278411
          },
          "falseMass": {
            "numerator": "2721070177569718575958980165852508225687737777956404957361148960861554881975972733591763370741890689038550327784755711972144207625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.6625392466184118e-21,
            "status": "finite",
            "log2": -69.02710159473753
          },
          "noiseInformation": 2.396309994466207,
          "jointInformation": 3.396309994466207,
          "informationDensity": -698.1549972331036,
          "difference": 1.9273144008769258,
          "margin": -1.9073144008769258,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "20864422962747809174108524216139051359009860634863197145477852473459685593278322907148331985320673889384314043682059753515243519702133177041",
            "value": 1.4641844487882615e+210,
            "status": "finite",
            "log2": 698.1549972331036
          }
        },
        {
          "k": 355,
          "count": "2238176033381289645577527347687133526481181496234564077604099990342462043766152220306464519032766425913399142853939909565820024300",
          "singleLikelihood": {
            "numerator": "2318269218083089908234280468459894595445540070540355238386428052606631732586480323016481331702297098820479338186895528168360391078014797449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1201.324922234546
          },
          "trueMass": {
            "numerator": "51886946028391540837103286978649317253011678837147528532895039699048027950768455870899698755561364075827880741397516103526977890432419885943192667759861355495556677772271214679925318315843943541284292616537807329938005630567785850997756043677677631723280293527580107",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.188694602839154e-233,
            "status": "finite",
            "log2": -771.6338744847955
          },
          "falseMass": {
            "numerator": "559544008345322411394381836921783381620295374058641019401024997585615510941538055076616129758191606478349785713484977391455006075",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.837485352289806e-22,
            "status": "finite",
            "log2": -70.30895225024955
          },
          "noiseInformation": 2.402649844469092,
          "jointInformation": 3.402649844469092,
          "informationDensity": -701.3249222345459,
          "difference": 1.9336542508798105,
          "margin": -1.9136542508798104,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2318269218083089908234280468459894595445540070540355238386428052606631732586480323016481331702297098820479338186895528168360391078014797449",
            "value": 1.3177660039094353e+211,
            "status": "finite",
            "log2": 701.324922234546
          }
        },
        {
          "k": 356,
          "count": "911616642809794939912195127569197644212840777960707278799422748875441000972168741416958863089188572352367628409610356424280627875",
          "singleLikelihood": {
            "numerator": "257585468675898878692697829828877177271726674504483915376269783622959081398497813668497925744699677646719926465210614240928932342001644161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1204.4948472359881
          },
          "trueMass": {
            "numerator": "1878553601527284250032453585993545818148987123941670820791455869253923608704475930407105198391110559549324021848349521850539773810911581388704853139870136466131265487385599532731378565742165246813039308214227731046444648297710099474325749396570101523065079291260703",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.3481920019091053e-234,
            "status": "finite",
            "log2": -776.0996238271892
          },
          "falseMass": {
            "numerator": "911616642809794939912195127569197644212840777960707278799422748875441000972168741416958863089188572352367628409610356424280627875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.784930831691073e-22,
            "status": "finite",
            "log2": -71.60477659120102
          },
          "noiseInformation": 2.4089896944719764,
          "jointInformation": 3.4089896944719764,
          "informationDensity": -704.4948472359882,
          "difference": 1.939994100882695,
          "margin": -1.919994100882695,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "257585468675898878692697829828877177271726674504483915376269783622959081398497813668497925744699677646719926465210614240928932342001644161",
            "value": 1.1859894035184917e+212,
            "status": "finite",
            "log2": 704.4948472359881
          }
        },
        {
          "k": 357,
          "count": "367710914746808042989792992632953671615263507076587809935901612991774521400538652000117860741857575402635682047573925280382102000",
          "singleLikelihood": {
            "numerator": "28620607630655430965855314425430797474636297167164879486252198180328786822055312629833102860522186405191102940578957137880992482444627129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1207.6647722374305
          },
          "trueMass": {
            "numerator": "5262054906238891456673539456564554112462148806559302019023685908274295822701613250440070583728601007140963646634032274091147825800872776999173258094874331837902704446458261996446438559501863436451090499199517453911609659097227169395870446488991881016989017622579",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0524109812477782e-235,
            "status": "finite",
            "log2": -780.5794040912183
          },
          "falseMass": {
            "numerator": "22981932171675502686862062039559604475953969192286738120993850811985907587533665750007366296366098462664730127973370330023881375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.123333444715727e-22,
            "status": "finite",
            "log2": -72.9146318537878
          },
          "noiseInformation": 2.415329544474861,
          "jointInformation": 3.415329544474861,
          "informationDensity": -707.6647722374305,
          "difference": 1.9463339508855797,
          "margin": -1.9263339508855797,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "28620607630655430965855314425430797474636297167164879486252198180328786822055312629833102860522186405191102940578957137880992482444627129",
            "value": 1.0673904631666426e+213,
            "status": "finite",
            "log2": 707.6647722374305
          }
        },
        {
          "k": 358,
          "count": "146878940806685894266872619962325069946878998636737588885010979491127811620885550938594564486272718666415928862578411494677767000",
          "singleLikelihood": {
            "numerator": "3180067514517270107317257158381199719404033018573875498472466464480976313561701403314789206724687378354566993397661904208999164716069681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1210.8346972388729
          },
          "trueMass": {
            "numerator": "467084948226046851833839939347443350764796573145859831607937358710877903566934012919261386389317159541376661370991070884564952879903666735494584672605232435021779476004675025134600070768942564501865885403805708199478697238301356439236172469227708867429813482327",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.6708494822604686e-237,
            "status": "finite",
            "log2": -785.0732735331464
          },
          "falseMass": {
            "numerator": "18359867600835736783359077495290633743359874829592198610626372436390976452610693867324320560784089833301991107822301436834720875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 4.487058173026507e-23,
            "status": "finite",
            "log2": -74.23857629427363
          },
          "noiseInformation": 2.4216693944777457,
          "jointInformation": 3.4216693944777457,
          "informationDensity": -710.8346972388729,
          "difference": 1.9526738008884643,
          "margin": -1.9326738008884643,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3180067514517270107317257158381199719404033018573875498472466464480976313561701403314789206724687378354566993397661904208999164716069681",
            "value": 9.606514168499785e+213,
            "status": "finite",
            "log2": 710.8346972388729
          }
        },
        {
          "k": 359,
          "count": "58096962658911969320044323216295710118264116452414310923876209158050555014389270844792278988999236909835827015281711510429646000",
          "singleLikelihood": {
            "numerator": "353340834946363345257473017597911079933781446508208388719162940497886257062411267034976578524965264261618554821962433800999907190674409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1214.0046222403153
          },
          "trueMass": {
            "numerator": "10264014646873824351656649858764617116775164559998776862941365666503352260369023496523540214683230680110722054268141761932563186156966987997559737466719747101995154068812109806424204588237363689146542204788054869131224854199751255705901654384143401296043564607",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.0528029293747652e-238,
            "status": "finite",
            "log2": -789.5812914489071
          },
          "falseMass": {
            "numerator": "3631060166181998082502770201018481882391507278275894432742263072378159688399329427799517436812452306864739188455106969401852875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.7748252383558885e-23,
            "status": "finite",
            "log2": -75.57666920859202
          },
          "noiseInformation": 2.4280092444806307,
          "jointInformation": 3.4280092444806307,
          "informationDensity": -714.0046222403154,
          "difference": 1.959013650891349,
          "margin": -1.939013650891349,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "353340834946363345257473017597911079933781446508208388719162940497886257062411267034976578524965264261618554821962433800999907190674409",
            "value": 8.645862751649805e+214,
            "status": "finite",
            "log2": 714.004622240315
          }
        },
        {
          "k": 360,
          "count": "22754643708073854650350693259715819796320112277195605111851515253569800713969131080876975937358034456352365580985337008251611350",
          "singleLikelihood": {
            "numerator": "39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1217.1745472417574
          },
          "trueMass": {
            "numerator": "17866988459372953501031946050442111277349360530368241205860895789839168749531263123578014447781920072785330983355654178178906287013979571699455839293919559770139712638302561514886578357302077532958795689816243661080280301755122556228791768742768142996816575427",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.933494229686479e-240,
            "status": "finite",
            "log2": -794.1035181942804
          },
          "falseMass": {
            "numerator": "11377321854036927325175346629857909898160056138597802555925757626784900356984565540438487968679017228176182790492668504125805675",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.95139885022723e-24,
            "status": "finite",
            "log2": -76.92897095252289
          },
          "noiseInformation": 2.434349094483515,
          "jointInformation": 3.434349094483515,
          "informationDensity": -717.1745472417574,
          "difference": 1.9653535008942336,
          "margin": -1.9453535008942335,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "39260092771818149473052557510879008881531271834245376524351437833098473006934585226108508724996140473513172757995825977888878576741601",
            "value": 7.781276476484826e+215,
            "status": "finite",
            "log2": 717.1745472417574
          }
        },
        {
          "k": 361,
          "count": "8824515565458004573543205142272063078905306700297464586313607023545075069129302912251458812271813916590945100659133465803949000",
          "singleLikelihood": {
            "numerator": "4362232530202016608116950834542112097947919092693930724927937537010941445214953914012056524999571163723685861999536219765430952971289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1220.3444722431998
          },
          "trueMass": {
            "numerator": "38494588862914950602408009342288328390718843863520371942451914597991437749067048896597753503993056481839740499689005616267265007417007387471896237321464117694976296850759596984981855494341195054081738943894646238092324442070131700092810828316213296699820261",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.849458886291495e-241,
            "status": "finite",
            "log2": -798.6400152056649
          },
          "falseMass": {
            "numerator": "1103064445682250571692900642784007884863163337537183073289200877943134383641162864031432351533976739573868137582391683225493625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.695833349118593e-24,
            "status": "finite",
            "log2": -78.2955429624651
          },
          "noiseInformation": 2.4406889444863995,
          "jointInformation": 3.4406889444863995,
          "informationDensity": -720.3444722431998,
          "difference": 1.9716933508971182,
          "margin": -1.9516933508971182,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4362232530202016608116950834542112097947919092693930724927937537010941445214953914012056524999571163723685861999536219765430952971289",
            "value": 7.003148828836343e+216,
            "status": "finite",
            "log2": 720.3444722431998
          }
        },
        {
          "k": 362,
          "count": "3388418960217300098680954460706676154607286274423612092534782807383329929859041725975007665485586006646799361855302629134665500",
          "singleLikelihood": {
            "numerator": "484692503355779623124105648282456899771991010299325636103104170778993493912772657112450724999952351524853984666615135529492328107921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1223.5143972446422
          },
          "trueMass": {
            "numerator": "3284682536491822058769007549771686707372571698606096807858082338318483638502344872085382281801740240009652504270578134230294558643931262651070335781266735641253348841163648852616622414802594298660136103868235621298240084375536099639595276326552270252470851",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.6423412682459112e-242,
            "status": "finite",
            "log2": -803.1908450214669
          },
          "falseMass": {
            "numerator": "847104740054325024670238615176669038651821568605903023133695701845832482464760431493751916371396501661699840463825657283666375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.035140429633935e-24,
            "status": "finite",
            "log2": -79.67644777682483
          },
          "noiseInformation": 2.447028794489284,
          "jointInformation": 3.447028794489284,
          "informationDensity": -723.514397244642,
          "difference": 1.9780332009000028,
          "margin": -1.9580332009000028,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "484692503355779623124105648282456899771991010299325636103104170778993493912772657112450724999952351524853984666615135529492328107921",
            "value": 6.302833945952707e+217,
            "status": "finite",
            "log2": 723.5143972446422
          }
        },
        {
          "k": 363,
          "count": "1288159274132196731729949629690141348032522054739555010385124042476307246062115036321077294316834349634320418556561330084253000",
          "singleLikelihood": {
            "numerator": "53854722595086624791567294253606322196887890033258404011456018975443721545863628568050080555550261280539331629623903947721369789769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1226.6843222460843
          },
          "trueMass": {
            "numerator": "69373460366677600873909250362487414388952386655592494564495770230785237544126659373704125327309481653096425710030575837738085260615628136799465310348149604911686890125586706712747764499962964985475785481147308806115263490025096686603022365023601667407557",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.93734603666776e-244,
            "status": "finite",
            "log2": -807.7560713041267
          },
          "falseMass": {
            "numerator": "161019909266524591466243703711267668504065256842444376298140505309538405757764379540134661789604293704290052319570166260531625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.935244608525703e-25,
            "status": "finite",
            "log2": -81.07174905804237
          },
          "noiseInformation": 2.4533686444921687,
          "jointInformation": 3.4533686444921687,
          "informationDensity": -726.6843222460843,
          "difference": 1.9843730509028874,
          "margin": -1.9643730509028874,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "53854722595086624791567294253606322196887890033258404011456018975443721545863628568050080555550261280539331629623903947721369789769",
            "value": 5.672550551357437e+218,
            "status": "finite",
            "log2": 726.6843222460843
          }
        },
        {
          "k": 364,
          "count": "484829177351953165513744778207553199671581103020107242919675807195753001951949890043921948685182159065664553138046434674567750",
          "singleLikelihood": {
            "numerator": "5983858066120736087951921583734035799654210003695378223495113219493746838429292063116675617283362364504370181069322660857929976641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1229.8542472475267
          },
          "trueMass": {
            "numerator": "11604595934352663394048311721197528414269202651790197503462662419557481738150613350668455640831988994474005277502062136471450159590160017999422158141265562726374974294512062050850358652618957512832945800875679250839793770614698713143606915760968777087711",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.901148983588166e-245,
            "status": "finite",
            "log2": -812.3357588628072
          },
          "falseMass": {
            "numerator": "242414588675976582756872389103776599835790551510053621459837903597876500975974945021960974342591079532832276569023217337283875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.4811222839780807e-25,
            "status": "finite",
            "log2": -82.48151161528057
          },
          "noiseInformation": 2.4597084944950534,
          "jointInformation": 3.4597084944950534,
          "informationDensity": -729.8542472475267,
          "difference": 1.990712900905772,
          "margin": -1.970712900905772,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "5983858066120736087951921583734035799654210003695378223495113219493746838429292063116675617283362364504370181069322660857929976641",
            "value": 5.1052954962216933e+219,
            "status": "finite",
            "log2": 729.8542472475267
          }
        },
        {
          "k": 365,
          "count": "180648679780453782218819972154047219603657616467765986402947698023623036343740233002666808277218557898439395141847438673263600",
          "singleLikelihood": {
            "numerator": "664873118457859565327991287081559533294912222632819802610568135499305204269921340346297290809262484944930020118813628984214441849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1233.024172248969
          },
          "trueMass": {
            "numerator": "300271127677313969100184625967059334920207678965651990196141949973329055629467925359762170310721176417135600787724591050250612957431842170456889936684192642843796899553584558393388275638542279631902707176387438758411710959588855591234882142977883120991",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.201084510709256e-246,
            "status": "finite",
            "log2": -816.9299736767666
          },
          "falseMass": {
            "numerator": "11290542486278361388676248259627951225228601029235374150184231126476439771483764562666675517326159868652462196365464917078975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.518702208795039e-26,
            "status": "finite",
            "log2": -83.9058014277976
          },
          "noiseInformation": 2.466048344497938,
          "jointInformation": 3.466048344497938,
          "informationDensity": -733.024172248969,
          "difference": 1.9970527509086566,
          "margin": -1.9770527509086566,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "664873118457859565327991287081559533294912222632819802610568135499305204269921340346297290809262484944930020118813628984214441849",
            "value": 4.594765946599524e+220,
            "status": "finite",
            "log2": 733.0241722489691
          }
        },
        {
          "k": 366,
          "count": "66632709755085411474154907761738728542332727385651388427316773861172431438264840041967265348154386110080104765435530658171000",
          "singleLikelihood": {
            "numerator": "73874790939762173925332365231284392588323580292535533623396459499922800474435704482921921201029164993881113346534847664912715761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1236.1940972504112
          },
          "trueMass": {
            "numerator": "4922477502906786378691551245361628441314879983043475249117081147103755010319146317373150332962642236346485258815157230331977261597243314269785080929249059718750768845140730465465381567844955403801683724203072766531339523927686157233358723655375133131",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.9224775029067865e-248,
            "status": "finite",
            "log2": -821.5387829194422
          },
          "falseMass": {
            "numerator": "8329088719385676434269363470217341067791590923206423553414596732646553929783105005245908168519298263760013095679441332271375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.0355868802932525e-26,
            "status": "finite",
            "log2": -85.34468566903081
          },
          "noiseInformation": 2.4723881945008226,
          "jointInformation": 3.4723881945008226,
          "informationDensity": -736.1940972504113,
          "difference": 2.0033926009115413,
          "margin": -1.9833926009115412,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "73874790939762173925332365231284392588323580292535533623396459499922800474435704482921921201029164993881113346534847664912715761",
            "value": 4.135289351939572e+221,
            "status": "finite",
            "log2": 736.1940972504112
          }
        },
        {
          "k": 367,
          "count": "24329109283873147513724135259054467642159633432363177245941274379828626192717952494887230399598604192781291658224417188542000",
          "singleLikelihood": {
            "numerator": "8208310104418019325036929470142710287591508921392837069266273277769200052715078275880213466781018332653457038503871962768079529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1239.3640222518536
          },
          "trueMass": {
            "numerator": "99850436783153099416389322869884682279169530385683573021751267591871506415798608314865598640174698708814566255106126076973199069638299138987466067895757493538087045905064771779043465045598550425283926588436535076475854708796540276910394939421778359",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9970087356630622e-249,
            "status": "finite",
            "log2": -826.1622549832699
          },
          "falseMass": {
            "numerator": "1520569330242071719607758453690904227634977089522698577871329648739289137044872030930451899974912762048830728639026074283875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.43238806428599e-27,
            "status": "finite",
            "log2": -86.79823273141625
          },
          "noiseInformation": 2.478728044503707,
          "jointInformation": 3.478728044503707,
          "informationDensity": -739.3640222518536,
          "difference": 2.009732450914426,
          "margin": -1.9897324509144259,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8208310104418019325036929470142710287591508921392837069266273277769200052715078275880213466781018332653457038503871962768079529",
            "value": 3.721760416745615e+222,
            "status": "finite",
            "log2": 739.3640222518536
          }
        },
        {
          "k": 368,
          "count": "8792857431399806030775298884386533142410954474196474385082036664448932835955129570163047943333191189238890735173498603467625",
          "singleLikelihood": {
            "numerator": "912034456046446591670769941126967809732389880154759674362919253085466672523897586208912607420113148072606337611541329196453281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1242.533947253296
          },
          "trueMass": {
            "numerator": "64155111556325421364153526288380013251833563001429542086439220240187972721261907757860505406489057624504044985164805643659108580975332297030594140242201674592104237224027123896680100729780711142815276503681445242373375247680868873570446990063268221",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.019388944540676e-251,
            "status": "finite",
            "log2": -830.800459505268
          },
          "falseMass": {
            "numerator": "8792857431399806030775298884386533142410954474196474385082036664448932835955129570163047943333191189238890735173498603467625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.6861619906250997e-27,
            "status": "finite",
            "log2": -88.26651225197207
          },
          "noiseInformation": 2.485067894506592,
          "jointInformation": 3.485067894506592,
          "informationDensity": -742.5339472532959,
          "difference": 2.0160723009173105,
          "margin": -1.9960723009173105,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "912034456046446591670769941126967809732389880154759674362919253085466672523897586208912607420113148072606337611541329196453281",
            "value": 3.349584375071053e+223,
            "status": "finite",
            "log2": 742.533947253296
          }
        },
        {
          "k": 369,
          "count": "3145412414484483458163521552138272018423430868818250999541541571022382477902647976318488695176100913223668230468568606118500",
          "singleLikelihood": {
            "numerator": "101337161782938510185641104569663089970265542239417741595879917009496296947099731800990289713345905341400704179060147688494809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1245.7038722547381
          },
          "trueMass": {
            "numerator": "637494333441354683835310559324462642972149225849796714499396045747125293526541088831495537011183047759299453330454256621725559521886770792535262459497938952586401634565761845405131985571443380822916026685181479373177170482827061977664784905777733",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.1874716672067737e-252,
            "status": "finite",
            "log2": -835.4534673934123
          },
          "falseMass": {
            "numerator": "786353103621120864540880388034568004605857717204562749885385392755595619475661994079622173794025228305917057617142151529625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 9.609034763211738e-28,
            "status": "finite",
            "log2": -89.74959513867401
          },
          "noiseInformation": 2.4914077445094764,
          "jointInformation": 3.4914077445094764,
          "informationDensity": -745.7038722547383,
          "difference": 2.022412150920195,
          "margin": -2.002412150920195,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "101337161782938510185641104569663089970265542239417741595879917009496296947099731800990289713345905341400704179060147688494809",
            "value": 3.014625937563948e+224,
            "status": "finite",
            "log2": 745.7038722547381
          }
        },
        {
          "k": 370,
          "count": "1113646017020181981133571144135442255171539037338353732270113367037654336770937526750600051535322215222433887003736452436550",
          "singleLikelihood": {
            "numerator": "11259684642548723353960122729962565552251726915490860177319990778832921883011081311221143301482878371266744908784460854277201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1248.8737972561805
          },
          "trueMass": {
            "numerator": "250786059101553944691969018833347165853908554313283392190453099077697938294224872783561307352747685454859544703572094947285430322423924846312670817400090098464920763147491897141358228558135384047453451939215536930589217216968003360582843311281931",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.2539302955077698e-253,
            "status": "finite",
            "log2": -840.1213508538334
          },
          "falseMass": {
            "numerator": "556823008510090990566785572067721127585769518669176866135056683518827168385468763375300025767661107611216943501868226218275",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.4021177134614534e-28,
            "status": "finite",
            "log2": -91.24755359765288
          },
          "noiseInformation": 2.497747594512361,
          "jointInformation": 3.497747594512361,
          "informationDensity": -748.8737972561805,
          "difference": 2.0287520009230797,
          "margin": -2.0087520009230797,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11259684642548723353960122729962565552251726915490860177319990778832921883011081311221143301482878371266744908784460854277201",
            "value": 2.713163343807553e+225,
            "status": "finite",
            "log2": 748.8737972561805
          }
        },
        {
          "k": 371,
          "count": "390226367149928996084539754009723701273046023865191334757721664999717153046420157621504061184883795091418882238506034546500",
          "singleLikelihood": {
            "numerator": "1251076071394302594884458081106951728027969657276762241924443419870324653667897923469015922386986485696304989864940094919689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1252.043722257623
          },
          "trueMass": {
            "numerator": "976405740736807811019945266497009031476732915864835010025723356696637675299467908411589396701323722944945816455956045017882777535642714286332650681701458903876600754991732453680041021639940099615721735612399514854046068829165631532667554072077",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.882028703684039e-255,
            "status": "finite",
            "log2": -844.8041834188681
          },
          "falseMass": {
            "numerator": "97556591787482249021134938502430925318261505966297833689430416249929288261605039405376015296220948772854720559626508636625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.1921167190026656e-28,
            "status": "finite",
            "log2": -92.76046116124525
          },
          "noiseInformation": 2.5040874445152457,
          "jointInformation": 3.5040874445152457,
          "informationDensity": -752.0437222576228,
          "difference": 2.0350918509259643,
          "margin": -2.0150918509259643,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1251076071394302594884458081106951728027969657276762241924443419870324653667897923469015922386986485696304989864940094919689",
            "value": 2.441847009426798e+226,
            "status": "finite",
            "log2": 752.0437222576229
          }
        },
        {
          "k": 372,
          "count": "135320433769733442190606527600146122215653056662929253182113158024095464362871506271973182507661316039766225292385157141125",
          "singleLikelihood": {
            "numerator": "139008452377144732764939786789661303114218850808529137991604824430036072629766435941001769154109609521811665540548899435521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1255.213647259065
          },
          "trueMass": {
            "numerator": "150485472586676472666156438922478094456987510330422600111491413397689677555115125669169691964720143679686989632996809805623510516246009728717935409724597608841196532131342277807318150288592918578767149216247953902236490894817642135859157079209",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.8810684073334558e-256,
            "status": "finite",
            "log2": -849.5020399759952
          },
          "falseMass": {
            "numerator": "135320433769733442190606527600146122215653056662929253182113158024095464362871506271973182507661316039766225292385157141125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.1339531384769856e-29,
            "status": "finite",
            "log2": -94.28839271692999
          },
          "noiseInformation": 2.5104272945181303,
          "jointInformation": 3.5104272945181303,
          "informationDensity": -755.2136472590652,
          "difference": 2.041431700928849,
          "margin": -2.021431700928849,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "139008452377144732764939786789661303114218850808529137991604824430036072629766435941001769154109609521811665540548899435521",
            "value": 2.1976623084841177e+227,
            "status": "finite",
            "log2": 755.2136472590653
          }
        },
        {
          "k": 373,
          "count": "46437038934385738875060685074580974915827322393712987687159475139635977046776280972687848152763132582010929859049061968000",
          "singleLikelihood": {
            "numerator": "15445383597460525862771087421073478123802094534281015332400536047781785847751826215666863239345512169090185060060988826169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1258.3835722605074
          },
          "trueMass": {
            "numerator": "44827367466987331744461256753791508625852698936676377751412396007652570019396820276785728914125750276939824138515582307305186331917190863484639681180994223664342130512762072626546961658800392784857655411453069378086532884962062000553815037",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.172378794717973e-258,
            "status": "finite",
            "log2": -854.2149967976927
          },
          "falseMass": {
            "numerator": "362789366674888584961411602145163866529900956200882716305933399528406070677939695099123813693461973296960389523820796625",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.418621988539019e-29,
            "status": "finite",
            "log2": -95.83142453718523
          },
          "noiseInformation": 2.516767144521015,
          "jointInformation": 3.516767144521015,
          "informationDensity": -758.3835722605074,
          "difference": 2.0477715509317336,
          "margin": -2.0277715509317336,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "15445383597460525862771087421073478123802094534281015332400536047781785847751826215666863239345512169090185060060988826169",
            "value": 1.977896077635706e+228,
            "status": "finite",
            "log2": 758.3835722605074
          }
        },
        {
          "k": 374,
          "count": "15768727124778045019071409102865732123823716427811629508741319098218633916953443004094536672194967481057187412030029064000",
          "singleLikelihood": {
            "numerator": "1716153733051169540307898602341497569311343837142335036933392894197976205305758468407429248816168018787798340006776536241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1261.5534972619498
          },
          "trueMass": {
            "numerator": "3382694990081634659267129891700250502366781203183541280112521861540033507108375623976106697619709022680545255847581077259511981077530148343760688954240205826126827436197732158984827172113873965345764846853559008328573782763031416559913553",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.706155992065308e-259,
            "status": "finite",
            "log2": -858.9431315722505
          },
          "falseMass": {
            "numerator": "246386361324656953422990767232277064434745569184556711074083110909666154952397546938977135503046366891518553312969204125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.817245789958702e-30,
            "status": "finite",
            "log2": -97.38963431030072
          },
          "noiseInformation": 2.5231069945238995,
          "jointInformation": 3.5231069945238995,
          "informationDensity": -761.5534972619498,
          "difference": 2.054111400934618,
          "margin": -2.034111400934618,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1716153733051169540307898602341497569311343837142335036933392894197976205305758468407429248816168018787798340006776536241",
            "value": 1.7801064698721355e+229,
            "status": "finite",
            "log2": 761.5534972619498
          }
        },
        {
          "k": 375,
          "count": "5298292313925423126407993458562885993604768719744707514937083217001460996096356849375764321857509073635214970442089765504",
          "singleLikelihood": {
            "numerator": "190683748116796615589766511371277507701260426349148337437043654910886245033973163156381027646240890976422037778530726249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1264.7234222633922
          },
          "trueMass": {
            "numerator": "7892954976857147538289969747300584505522489474094929653595884343593411516586209789277582294445987719587938930311022513605527955847570346135441607559893813594295930684461375037631263401599039252473451309324971019433338826447073305306464957",
            "denominator": "781250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0102982370377148e-260,
            "status": "finite",
            "log2": -863.6865234355762
          },
          "falseMass": {
            "numerator": "41392908702542368175062448895022546825037255623005527460445962632823914032002787885748158764511789637775116956578826293",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.6185945854261235e-30,
            "status": "finite",
            "log2": -98.96310117218405
          },
          "noiseInformation": 2.5294468445267846,
          "jointInformation": 3.5294468445267846,
          "informationDensity": -764.7234222633923,
          "difference": 2.060451250937503,
          "margin": -2.040451250937503,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "190683748116796615589766511371277507701260426349148337437043654910886245033973163156381027646240890976422037778530726249",
            "value": 1.602095822884922e+230,
            "status": "finite",
            "log2": 764.7234222633922
          }
        },
        {
          "k": 376,
          "count": "1761400370320951837236699952979682843618606622255554360018977133311655916255437782372262075085608069692558168365056438000",
          "singleLikelihood": {
            "numerator": "21187083124088512843307390152364167522362269594349815270782628323431805003774795906264558627360098997380226419836747361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1267.8933472648346
          },
          "trueMass": {
            "numerator": "18659468030395147844657138882507291975230471569964372703536369606603809731882292646046293840297843308718531750144261261478789493729480723724448244822444003769021112729223108836007714897397255916012887256087401937194654436045090556280059",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.7318936060790296e-262,
            "status": "finite",
            "log2": -868.445253004034
          },
          "falseMass": {
            "numerator": "110087523145059489827293747061230177726162913890972147501186070831978494765964861398266379692850504355784885522816027375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.380966041975145e-31,
            "status": "finite",
            "log2": -100.55190573919958
          },
          "noiseInformation": 2.535786694529669,
          "jointInformation": 3.535786694529669,
          "informationDensity": -767.8933472648346,
          "difference": 2.0667911009403874,
          "margin": -2.0467911009403874,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "21187083124088512843307390152364167522362269594349815270782628323431805003774795906264558627360098997380226419836747361",
            "value": 1.4418862405964297e+231,
            "status": "finite",
            "log2": 767.8933472648343
          }
        },
        {
          "k": 377,
          "count": "579346540901321028693238180820903640871902443394399842552660913874390805346616140621115377481738463241053615059063656000",
          "singleLikelihood": {
            "numerator": "2354120347120945871478598905818240835818029954927757252309180924825756111530532878473839847484455444153358491092971929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1271.0632722662767
          },
          "trueMass": {
            "numerator": "170481434996242140637893105027328632841775602319155777721670338286094341788491326857481611862432402761648831197899233452945026320546390343488917061448795790403670643856739279079351359215831103270380048611467568539061092695961629014053",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.363851479969937e-263,
            "status": "finite",
            "log2": -873.2194024083582
          },
          "falseMass": {
            "numerator": "9052289701583141073331846575326619388623475678037497539885326779287356333540877197204927773152163488141462735297869625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.7698668148671565e-31,
            "status": "finite",
            "log2": -102.1561301420814
          },
          "noiseInformation": 2.5421265445325534,
          "jointInformation": 3.5421265445325534,
          "informationDensity": -771.0632722662767,
          "difference": 2.073130950943272,
          "margin": -2.053130950943272,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2354120347120945871478598905818240835818029954927757252309180924825756111530532878473839847484455444153358491092971929",
            "value": 1.2976976165367868e+232,
            "status": "finite",
            "log2": 771.0632722662767
          }
        },
        {
          "k": 378,
          "count": "188517525213921922035101312806801978378952382374368202735389662451190658882629061630680400609137118991136493789060396000",
          "singleLikelihood": {
            "numerator": "261568927457882874608733211757582315090892217214195250256575658313972901281170319830426649720495049350373165676996881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1274.233197267719
          },
          "trueMass": {
            "numerator": "12327581719304987241893504949066091616424690820256414262060818112398356284529355204861986042962484150313231180095006299066571568152384486918951674637390877260230152377647813831134754370104189125371396813174903545152565785775003156219",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.9310326877219953e-265,
            "status": "finite",
            "log2": -878.0090553286823
          },
          "falseMass": {
            "numerator": "5891172662935060063596916025212561824342261949199006335480926951599708090082158175958762519035534968473015430908137375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 5.759090429329636e-32,
            "status": "finite",
            "log2": -103.77585806096323
          },
          "noiseInformation": 2.548466394535438,
          "jointInformation": 3.548466394535438,
          "informationDensity": -774.233197267719,
          "difference": 2.0794708009461567,
          "margin": -2.0594708009461566,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "261568927457882874608733211757582315090892217214195250256575658313972901281170319830426649720495049350373165676996881",
            "value": 1.167927854883108e+233,
            "status": "finite",
            "log2": 774.2331972677191
          }
        },
        {
          "k": 379,
          "count": "60683741625589642449293826286094568238079658706261004574452609021227599956941281052620076185526988171289319900436328000",
          "singleLikelihood": {
            "numerator": "29063214161986986067637023528620257232321357468243916695175073145996989031241146647825183302277227705597018408555209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1277.4031222691615
          },
          "trueMass": {
            "numerator": "220458072376899507990473116943134444034566443868555048368721754575285761757927489738077147059721938777222838459629253662580142379740678306085034345611504987649967544719002240896868958245779987290429553094010295002728382565897154069",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.7636645790151962e-266,
            "status": "finite",
            "log2": -882.8142970307327
          },
          "falseMass": {
            "numerator": "948183462899838163270216035720227628719994667285328196475822015956681249327207516447188690398859190176395623444317625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 1.853849689652284e-32,
            "status": "finite",
            "log2": -105.41117476157143
          },
          "noiseInformation": 2.554806244538323,
          "jointInformation": 3.554806244538323,
          "informationDensity": -777.4031222691615,
          "difference": 2.0858106509490413,
          "margin": -2.0658106509490413,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "29063214161986986067637023528620257232321357468243916695175073145996989031241146647825183302277227705597018408555209",
            "value": 1.0511350693947974e+234,
            "status": "finite",
            "log2": 777.4031222691615
          }
        },
        {
          "k": 380,
          "count": "19322980886043017727275139422677480938967470272256793561865172872548788407341828966755340048549383075594757126191567600",
          "singleLikelihood": {
            "numerator": "3229246017998554007515224836513361914702373052027101855019452571777443225693460738647242589141914189510779823172801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1280.5730472706036
          },
          "trueMass": {
            "numerator": "155996647705291464718404954094264723556623039228626671652721241541576474694206001510569209322961137965169376921725963117966065660518257748750228981397614640383895163222217959932872186828885254164572958622077460206608972458909682119",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.23986590821166e-268,
            "status": "finite",
            "log2": -887.6352144032314
          },
          "falseMass": {
            "numerator": "1207686305377688607954696213917342558685466892016049597616573304534299275458864310422208753034336442224672320386972975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.903047695998062e-33,
            "status": "finite",
            "log2": -107.06216713262779
          },
          "noiseInformation": 2.5611460945412072,
          "jointInformation": 3.5611460945412072,
          "informationDensity": -780.5730472706036,
          "difference": 2.0921505009519263,
          "margin": -2.0721505009519263,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3229246017998554007515224836513361914702373052027101855019452571777443225693460738647242589141914189510779823172801",
            "value": 9.460215624553176e+234,
            "status": "finite",
            "log2": 780.5730472706036
          }
        },
        {
          "k": 381,
          "count": "6085978231824572512527602967772434941407077251104501909248873345684657766091914635198532298755711204911734527934352000",
          "singleLikelihood": {
            "numerator": "358805113110950445279469426279262434966930339114122428335494730197493691743717859849693621015768243278975535908089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1283.742972272046
          },
          "trueMass": {
            "numerator": "136480006741287370707265926591657675902557339657591138803780613772157895620477691610296771061208344676438649975263309814493495765982727689195300946104649729119768296782342922076003663017397422716161818566996903067899363481110833",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.183680107860598e-269,
            "status": "finite",
            "log2": -892.4718959965586
          },
          "falseMass": {
            "numerator": "47546704936129472754121898185722147979742791024253921166006823013161388797593083087488533584028993788372925999487125",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.8592276207867913e-33,
            "status": "finite",
            "log2": -108.72892372451258
          },
          "noiseInformation": 2.567485944544092,
          "jointInformation": 3.567485944544092,
          "informationDensity": -783.7429722720459,
          "difference": 2.098490350954811,
          "margin": -2.078490350954811,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "358805113110950445279469426279262434966930339114122428335494730197493691743717859849693621015768243278975535908089",
            "value": 8.514194062097858e+235,
            "status": "finite",
            "log2": 783.742972272046
          }
        },
        {
          "k": 382,
          "count": "1895893742374670494740274222944816120490686368799569966493758974179252026609784925624673674219711082158367562366984000",
          "singleLikelihood": {
            "numerator": "39867234790105605031052158475473603885214482123791380926166081133054854638190873316632624557307582586552837323121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1286.9128972734884
          },
          "trueMass": {
            "numerator": "9448005120542872085028880316699978727402166037960061383158751040655491319858548750218333773289001173063524925570874850450684116435104476448074934605266618827953709899417572848775122687068233451555122983986405738848181648779633",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.558404096434298e-271,
            "status": "finite",
            "log2": -897.3244320627286
          },
          "falseMass": {
            "numerator": "29623339724604226480316784733512751882666974512493280726464983971550812915777889462885526159682985658724493161984125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 5.791834734911732e-34,
            "status": "finite",
            "log2": -110.41153478924036
          },
          "noiseInformation": 2.573825794546977,
          "jointInformation": 3.573825794546977,
          "informationDensity": -786.9128972734884,
          "difference": 2.1048302009576956,
          "margin": -2.0848302009576956,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "39867234790105605031052158475473603885214482123791380926166081133054854638190873316632624557307582586552837323121",
            "value": 7.662774655888073e+236,
            "status": "finite",
            "log2": 786.9128972734884
          }
        },
        {
          "k": 383,
          "count": "584113476762953311695436966860282773414885095348170381321836968546088091749228776041022176391451456121899144541264000",
          "singleLikelihood": {
            "numerator": "4429692754456178336783573163941511542801609124865708991796231237006094959798985924070291617478620287394759702569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1290.0828222749305
          },
          "trueMass": {
            "numerator": "161715202237316348423760933764229400904185609585043116218847203771010730453047396652997299861923721848200745752446073738494448178030508880312277673835430957600600198452462082413035172189447569956992241385319970580807286706701",
            "denominator": "6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.5874432357970618e-272,
            "status": "finite",
            "log2": -902.1929145967341
          },
          "falseMass": {
            "numerator": "4563386537210572747620601303595959167303789807407581104076851316766313216790849812820485753058214500952337066728625",
            "denominator": "25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792",
            "value": 1.7844295005733272e-34,
            "status": "finite",
            "log2": -112.1100923218035
          },
          "noiseInformation": 2.580165644549861,
          "jointInformation": 3.580165644549861,
          "informationDensity": -790.0828222749305,
          "difference": 2.11117005096058,
          "margin": -2.09117005096058,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4429692754456178336783573163941511542801609124865708991796231237006094959798985924070291617478620287394759702569",
            "value": 6.896497190299265e+237,
            "status": "finite",
            "log2": 790.0828222749305
          }
        },
        {
          "k": 384,
          "count": "177972074951212337157203450840242407524847802488895663058997201353886215454843142699998944369270365537141145602416375",
          "singleLikelihood": {
            "numerator": "492188083828464259642619240437945726977956569429523221310692359667343884422109547118921290830957809710528855841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1293.252747276373
          },
          "trueMass": {
            "numerator": "700765876361704176502964046311660737251470974868520170281671216341046498629872052162988299401669461342203231593932986200142608771465538481353203253286867482935934193294002357123152412820939469813633046003053205850164909062371",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.759573454521303e-274,
            "status": "finite",
            "log2": -907.0774373793142
          },
          "falseMass": {
            "numerator": "177972074951212337157203450840242407524847802488895663058997201353886215454843142699998944369270365537141145602416375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 5.436933634559356e-35,
            "status": "finite",
            "log2": -113.82469010294125
          },
          "noiseInformation": 2.5865054945527457,
          "jointInformation": 3.5865054945527457,
          "informationDensity": -793.2527472763728,
          "difference": 2.117509900963465,
          "margin": -2.097509900963465,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "492188083828464259642619240437945726977956569429523221310692359667343884422109547118921290830957809710528855841",
            "value": 6.206847471269339e+238,
            "status": "finite",
            "log2": 793.2527472763729
          }
        },
        {
          "k": 385,
          "count": "53622755050235405481131429344073037072421675555095836142451104823508574007173518319999681939832110135865903610078700",
          "singleLikelihood": {
            "numerator": "54687564869829362182513248937549525219772952158835913478965817740815987158012171902102365647884201078947650649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1296.4226722778153
          },
          "trueMass": {
            "numerator": "29324978953087187761307297753301820173582479467802431368208463598687371515535771302635874000935662884450063082574396247913615662875181264010451506991802535360955399142173258811791370810688664681955784031873799379011229960763",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9324978953087185e-275,
            "status": "finite",
            "log2": -911.9780960212112
          },
          "falseMass": {
            "numerator": "13405688762558851370282857336018259268105418888773959035612776205877143501793379579999920484958027533966475902519675",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.638141043139962e-35,
            "status": "finite",
            "log2": -115.55542374339592
          },
          "noiseInformation": 2.5928453445556308,
          "jointInformation": 3.5928453445556308,
          "informationDensity": -796.4226722778154,
          "difference": 2.1238497509663494,
          "margin": -2.1038497509663494,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "54687564869829362182513248937549525219772952158835913478965817740815987158012171902102365647884201078947650649",
            "value": 5.586162724142405e+239,
            "status": "finite",
            "log2": 796.4226722778153
          }
        },
        {
          "k": 386,
          "count": "15975691271443190752150555374529531770281069142062230975082583043273279820790037841450682443214229703690618951189250",
          "singleLikelihood": {
            "numerator": "6076396096647706909168138770838836135530328017648434830996201971201776350890241322455818405320466786549738961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1299.5925972792575
          },
          "trueMass": {
            "numerator": "388298512332184984749607281707508269425674742521275717598615234755215627436570374185736961440138311077922539377784175994250524033465267168820025711463130865458822210863549195550490229502498150653415678027114211696752037477",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.707462808304625e-277,
            "status": "finite",
            "log2": -916.8949880089772
          },
          "falseMass": {
            "numerator": "7987845635721595376075277687264765885140534571031115487541291521636639910395018920725341221607114851845309475594625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.8804720197175035e-36,
            "status": "finite",
            "log2": -117.30239072971966
          },
          "noiseInformation": 2.599185194558515,
          "jointInformation": 3.599185194558515,
          "informationDensity": -799.5925972792575,
          "difference": 2.130189600969234,
          "margin": -2.110189600969234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6076396096647706909168138770838836135530328017648434830996201971201776350890241322455818405320466786549738961",
            "value": 5.027546451728165e+240,
            "status": "finite",
            "log2": 799.5925972792575
          }
        },
        {
          "k": 387,
          "count": "4706017583835978671176132590946683777292097886809029279481691129026237466589313472675394828233649060001887753063500",
          "singleLikelihood": {
            "numerator": "675155121849745212129793196759870681725592001960937203444022441244641816765582369161757600591162976283304329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1302.7625222806998
          },
          "trueMass": {
            "numerator": "6354583750483647467909163094265854538404668482260326127798182136390264359427077613720070859054804401792013994985270752705219600892196448068544779085098610201307167964175223699792691094356128219134278968574651181945123783",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.177291875241824e-278,
            "status": "finite",
            "log2": -921.8282127523992
          },
          "falseMass": {
            "numerator": "1176504395958994667794033147736670944323024471702257319870422782256559366647328368168848707058412265000471938265875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.437658424412908e-36,
            "status": "finite",
            "log2": -119.06569047169933
          },
          "noiseInformation": 2.6055250445613996,
          "jointInformation": 3.6055250445613996,
          "informationDensity": -802.7625222806997,
          "difference": 2.1365294509721187,
          "margin": -2.1165294509721186,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "675155121849745212129793196759870681725592001960937203444022441244641816765582369161757600591162976283304329",
            "value": 4.524791806555348e+241,
            "status": "finite",
            "log2": 802.7625222806998
          }
        },
        {
          "k": 388,
          "count": "1370566976735736056296141708188080584623729539199536877787193550463826891042763975289483545336088514897457000247875",
          "singleLikelihood": {
            "numerator": "75017235761082801347754799639985631302843555773437467049335826804960201862842485462417511176795886253700481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1305.9324472821422
          },
          "trueMass": {
            "numerator": "822529168161113589775183768215396979197855141460958593861620368169644756718510618958038954264825770220501238755252686203539306873789460059273264646753886543811809828123482563661596899956749700758503463286295055624053823",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.028161460201392e-279,
            "status": "finite",
            "log2": -926.7778716336135
          },
          "falseMass": {
            "numerator": "1370566976735736056296141708188080584623729539199536877787193550463826891042763975289483545336088514897457000247875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.186994895841716e-37,
            "status": "finite",
            "log2": -120.84542435147125
          },
          "noiseInformation": 2.6118648945642846,
          "jointInformation": 3.6118648945642846,
          "informationDensity": -805.9324472821423,
          "difference": 2.1428693009750033,
          "margin": -2.1228693009750033,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "75017235761082801347754799639985631302843555773437467049335826804960201862842485462417511176795886253700481",
            "value": 4.072312625899813e+242,
            "status": "finite",
            "log2": 805.9324472821422
          }
        },
        {
          "k": 389,
          "count": "394610543430340458368040800300938368837680484293954062499140559516577408217968034016509401227871243363792246858000",
          "singleLikelihood": {
            "numerator": "8335248417898089038639422182220625700315950641493051894370647422773355762538053940268612352977320694855609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1309.1023722835844
          },
          "trueMass": {
            "numerator": "1644588453906825229484800450587768881572403881812827808349426614449446814347207749987510048515789886187805961521499229770001470470301691063956827342838390690283538645205477847938068637445657785007004925165399996963261",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.2891769078136506e-281,
            "status": "finite",
            "log2": -931.7440680579844
          },
          "falseMass": {
            "numerator": "24663158964396278648002550018808648052355030268372128906196284969786088013623002126031837576741952710237015428625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.205510098545687e-37,
            "status": "finite",
            "log2": -122.64169577439986
          },
          "noiseInformation": 2.618204744567169,
          "jointInformation": 3.618204744567169,
          "informationDensity": -809.1023722835844,
          "difference": 2.149209150977888,
          "margin": -2.129209150977888,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8335248417898089038639422182220625700315950641493051894370647422773355762538053940268612352977320694855609",
            "value": 3.665081363309832e+243,
            "status": "finite",
            "log2": 809.1023722835846
          }
        },
        {
          "k": 390,
          "count": "112312231591712284304750073931805535746109060914433079326678466939333570031267825066237291118701815418925485644200",
          "singleLikelihood": {
            "numerator": "926138713099787670959935798024513966701772293499227988263405269197039529170894882252068039219702299428401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1312.2722972850268
          },
          "trueMass": {
            "numerator": "520083528158568662315706125399550842890418321598928452213066536193414804537151168799468989701574579392724962190559585482820977841035577515952159074230944064448640426261561370715457603294780667053497284026664956304621",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0401670563171374e-282,
            "status": "finite",
            "log2": -936.7269075068261
          },
          "falseMass": {
            "numerator": "14039028948964035538093759241475691968263632614304134915834808367416696253908478133279661389837726927365685705525",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.4310672035531094e-38,
            "status": "finite",
            "log2": -124.45461022179933
          },
          "noiseInformation": 2.6245445945700534,
          "jointInformation": 3.6245445945700534,
          "informationDensity": -812.2722972850268,
          "difference": 2.1555490009807725,
          "margin": -2.1355490009807725,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "926138713099787670959935798024513966701772293499227988263405269197039529170894882252068039219702299428401",
            "value": 3.2985732269788485e+244,
            "status": "finite",
            "log2": 812.2722972850268
          }
        },
        {
          "k": 391,
          "count": "31596791496389645200824828983372401360797945525799587534359671005950620724909106796128138166386699989979036882000",
          "singleLikelihood": {
            "numerator": "102904301455531963439992866447168218522419143722136443140378363244115503241210542472452004357744699936489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1315.4422222864691
          },
          "trueMass": {
            "numerator": "1625722878586034465891664501106865379879113821423192092737633389635567732284360004772423667723023692333041939214593759679178958866550540686409136066081382412314590704426591383310609160625912855239690288233394293649",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.251445757172069e-284,
            "status": "finite",
            "log2": -941.7264975920511
          },
          "falseMass": {
            "numerator": "1974799468524352825051551811460775085049871595362474220897479437871913795306819174758008635399168749373689805125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.652618731223581e-39,
            "status": "finite",
            "log2": -126.28427530558201
          },
          "noiseInformation": 2.6308844445729385,
          "jointInformation": 3.6308844445729385,
          "informationDensity": -815.4422222864692,
          "difference": 2.161888850983657,
          "margin": -2.141888850983657,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "102904301455531963439992866447168218522419143722136443140378363244115503241210542472452004357744699936489",
            "value": 2.968715904280964e+245,
            "status": "finite",
            "log2": 815.4422222864691
          }
        },
        {
          "k": 392,
          "count": "8785842533434875833902822344866305480425959342633048574605112601144432803609930206066242500347322191091109745250",
          "singleLikelihood": {
            "numerator": "11433811272836884826665874049685357613602127080237382571153151471568389249023393608050222706416077770721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1318.6121472879115
          },
          "trueMass": {
            "numerator": "401822661600629833973223198686277384142456704161287841515650883152555289838991475102481133292085221007486556404514103866282327701709770827253051771435080913701338745538545262541624486413207485762191023622312875301",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.0045566540015746e-285,
            "status": "finite",
            "log2": -946.7429481128318
          },
          "falseMass": {
            "numerator": "4392921266717437916951411172433152740212979671316524287302556300572216401804965103033121250173661095545554872625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.684018983937169e-39,
            "status": "finite",
            "log2": -128.1308008249203
          },
          "noiseInformation": 2.637224294575823,
          "jointInformation": 3.637224294575823,
          "informationDensity": -818.6121472879115,
          "difference": 2.1682287009865417,
          "margin": -2.1482287009865417,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11433811272836884826665874049685357613602127080237382571153151471568389249023393608050222706416077770721",
            "value": 2.6718443138528676e+246,
            "status": "finite",
            "log2": 818.6121472879115
          }
        },
        {
          "k": 393,
          "count": "2414430009188210152828256522253335857216294170494578234242626363673279243740133491743394885591630525796030159000",
          "singleLikelihood": {
            "numerator": "1270423474759653869629541561076150845955791897804153619017016830174265472113710400894469189601786418969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1321.782072289354
          },
          "trueMass": {
            "numerator": "3067348561836868961627658005238758657576005375277006423783594527882101449152606680171611704519734511507530964919954991345666623677173823108801921919351762700010219431591948569020034247429064776810618500933686071",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.067348561836869e-287,
            "status": "finite",
            "log2": -951.7763711143692
          },
          "falseMass": {
            "numerator": "301803751148526269103532065281666982152036771311822279280328295459159905467516686467924360698953815724503769875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.375930032193747e-40,
            "status": "finite",
            "log2": -129.99429882501545
          },
          "noiseInformation": 2.6435641445787077,
          "jointInformation": 3.6435641445787077,
          "informationDensity": -821.7820722893539,
          "difference": 2.1745685509894264,
          "margin": -2.1545685509894263,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1270423474759653869629541561076150845955791897804153619017016830174265472113710400894469189601786418969",
            "value": 2.4046598824675806e+247,
            "status": "finite",
            "log2": 821.7820722893537
          }
        },
        {
          "k": 394,
          "count": "655695459348067224245237177363215575436912376251065662598885839880814413909122547250109778574376817919226464500",
          "singleLikelihood": {
            "numerator": "141158163862183763292171284564016760661754655311572624335224092241585052457078933432718798844642935441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1324.951997290796
          },
          "trueMass": {
            "numerator": "185113534188688651378544504546275903192686167599909581130764023961299974652751784984976002472426166233111005779151260053009773679333107203971689591297596508122444150693930342292805225310157885571763214664356689",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 9.255676709434433e-289,
            "status": "finite",
            "log2": -956.8268809488668
          },
          "falseMass": {
            "numerator": "163923864837016806061309294340803893859228094062766415649721459970203603477280636812527444643594204479806616125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.003107902143987e-40,
            "status": "finite",
            "log2": -131.8748836580707
          },
          "noiseInformation": 2.649903994581592,
          "jointInformation": 3.649903994581592,
          "informationDensity": -824.9519972907959,
          "difference": 2.1809084009923105,
          "margin": -2.1609084009923105,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "141158163862183763292171284564016760661754655311572624335224092241585052457078933432718798844642935441",
            "value": 2.1641938942208224e+248,
            "status": "finite",
            "log2": 824.951997290796
          }
        },
        {
          "k": 395,
          "count": "175958781495937027265810483039242660750158764259779646165776959562952728795865797489902877288313778985919000600",
          "singleLikelihood": {
            "numerator": "15684240429131529254685698284890751184639406145730291592802676915731672495230992603635422093849215049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1328.1219222922384
          },
          "trueMass": {
            "numerator": "13798899172996481748330321717232943557260712915323780309325588284035019207589092270328731548577477932988584115745452577791164564000920790169478970940608459817847454271136860958535410606805018193113151022800147",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.7597798345992965e-290,
            "status": "finite",
            "log2": -961.8945943388103
          },
          "falseMass": {
            "numerator": "21994847686992128408226310379905332593769845532472455770722119945369091099483224686237859661039222373239875075",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.375428800690193e-41,
            "status": "finite",
            "log2": -133.77267204657193
          },
          "noiseInformation": 2.656243844584477,
          "jointInformation": 3.656243844584477,
          "informationDensity": -828.1219222922384,
          "difference": 2.187248250995195,
          "margin": -2.167248250995195,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "15684240429131529254685698284890751184639406145730291592802676915731672495230992603635422093849215049",
            "value": 1.9477745047987402e+249,
            "status": "finite",
            "log2": 828.1219222922384
          }
        },
        {
          "k": 396,
          "count": "46655737517862090562904294745253735804966339008274906180319648368964738695873506910201520493113502003842159250",
          "singleLikelihood": {
            "numerator": "1742693381014614361631744253876750131626600682858921288089186323970185832803443622626158010427690561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1331.2918472936808
          },
          "trueMass": {
            "numerator": "325226579834933913260310612864076110777188519889786067896562686829108196811864127583505457373879951282559221583226155032114989723927426030930480796579997369444216093932518608450329542921330395123878980335357",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.130664495873347e-292,
            "status": "finite",
            "log2": -966.9796304426661
          },
          "falseMass": {
            "numerator": "23327868758931045281452147372626867902483169504137453090159824184482369347936753455100760246556751001921079625",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.4253030910920969e-41,
            "status": "finite",
            "log2": -135.68778314898543
          },
          "noiseInformation": 2.6625836945873615,
          "jointInformation": 3.6625836945873615,
          "informationDensity": -831.2918472936808,
          "difference": 2.1935881009980798,
          "margin": -2.1735881009980798,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1742693381014614361631744253876750131626600682858921288089186323970185832803443622626158010427690561",
            "value": 1.752997054318866e+250,
            "status": "finite",
            "log2": 831.2918472936806
          }
        },
        {
          "k": 397,
          "count": "12222157939188053950987523056691154971578083770429698344466608136958017189850994253554050708523436293197946000",
          "singleLikelihood": {
            "numerator": "193632597890512706847971583764083347958511186984324587565465147107798425867049291402906445603076729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1334.461772295123
          },
          "trueMass": {
            "numerator": "1183304096796568953927802397770218147244178773738376401526816380850379669340675527172004183000402845416532292354307309100894169160665138091826546419126774643933615790966342544039822014547241851836111599317",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.366608193593138e-293,
            "status": "finite",
            "log2": -972.0821109231103
          },
          "falseMass": {
            "numerator": "763884871199253371936720191043197185723630235651856146529163008559876074365687140847128169282714768324871625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.733791472886097e-42,
            "status": "finite",
            "log2": -137.62033862798728
          },
          "noiseInformation": 2.6689235445902457,
          "jointInformation": 3.6689235445902457,
          "informationDensity": -834.4617722951228,
          "difference": 2.1999279510009644,
          "margin": -2.1799279510009644,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "193632597890512706847971583764083347958511186984324587565465147107798425867049291402906445603076729",
            "value": 1.5776973488869796e+251,
            "status": "finite",
            "log2": 834.461772295123
          }
        },
        {
          "k": 398,
          "count": "3163020773206958685808328831254243623297845799885072687135830749011748167222744744010219153210839040701981000",
          "singleLikelihood": {
            "numerator": "21514733098945856316441287084898149773167909664924954173940571900866491763005476822545160622564081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1337.6316972965653
          },
          "trueMass": {
            "numerator": "68051547721969068818851840854456990042518377272502942131357949317470187572355990674883545979364317743105988895864686118030206266637916931020733825332248904704166625611129694045841243717680575510396144461",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.8051547721969074e-295,
            "status": "finite",
            "log2": -977.202160017913
          },
          "falseMass": {
            "numerator": "395377596650869835726041103906780452912230724985634085891978843626468520902843093001277394151354880087747625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.662827178574574e-43,
            "status": "finite",
            "log2": -139.57046272134772
          },
          "noiseInformation": 2.675263394593131,
          "jointInformation": 3.675263394593131,
          "informationDensity": -837.6316972965653,
          "difference": 2.206267801003849,
          "margin": -2.186267801003849,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "21514733098945856316441287084898149773167909664924954173940571900866491763005476822545160622564081",
            "value": 1.4199276139982818e+252,
            "status": "finite",
            "log2": 837.6316972965653
          }
        },
        {
          "k": 399,
          "count": "808591776609297709154008874155220174376892911248815574155024402003003290868972340574040986535101709653138000",
          "singleLikelihood": {
            "numerator": "2390525899882872924049031898322016641463101073880550463771174655651832418111719646949462291396009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1340.8016222980077
          },
          "trueMass": {
            "numerator": "966479792208416182055539928592956416643953561931954900779519748034246607126192014597343593691890895265498589164327204683804099024932821910904323333874880016684070706256645613015289175606156878593763121",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.9329595844168326e-296,
            "status": "finite",
            "log2": -982.3399046136062
          },
          "falseMass": {
            "numerator": "50536986038081106822125554634701260898555806953050973384689025125187705679310771285877561658443856853321125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.4701964215904926e-43,
            "status": "finite",
            "log2": -141.53828231559856
          },
          "noiseInformation": 2.6816032445960154,
          "jointInformation": 3.6816032445960154,
          "informationDensity": -840.8016222980077,
          "difference": 2.2126076510067336,
          "margin": -2.1926076510067336,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2390525899882872924049031898322016641463101073880550463771174655651832418111719646949462291396009",
            "value": 1.2779348525984537e+253,
            "status": "finite",
            "log2": 840.8016222980077
          }
        },
        {
          "k": 400,
          "count": "204169423593847671561387240724193094030165460090325932474143661505758330944415515994945349100113181687417345",
          "singleLikelihood": {
            "numerator": "265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1343.9715472994499
          },
          "trueMass": {
            "numerator": "10846051001450003820845503643098733120115478861680827219859054950162100813305043719370189218097886713535039722844116408118246000168690557000148517413484764631676793481324578546060467415135760526441119469",
            "denominator": "20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.423025500725002e-298,
            "status": "finite",
            "log2": -987.4954743220715
          },
          "falseMass": {
            "numerator": "204169423593847671561387240724193094030165460090325932474143661505758330944415515994945349100113181687417345",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 6.237245964515993e-44,
            "status": "finite",
            "log2": -143.52392702262154
          },
          "noiseInformation": 2.6879430945988996,
          "jointInformation": 3.6879430945988996,
          "informationDensity": -843.9715472994498,
          "difference": 2.2189475010096182,
          "margin": -2.198947501009618,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "265613988875874769338781322035779626829233452653394495974574961739092490901302182994384699044001",
            "value": 1.1501413673386082e+254,
            "status": "finite",
            "log2": 843.9715472994499
          }
        },
        {
          "k": 401,
          "count": "50915068227892187421792329357654138162136024960181030542180464215899833153220826931407817730701541567934500",
          "singleLikelihood": {
            "numerator": "29512665430652752148753480226197736314359272517043832886063884637676943433478020332709411004889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1347.1414723008922
          },
          "trueMass": {
            "numerator": "3005278747977280083359795966500064594102377074447444505364105001430341039984772435403211199251284764071776038471631035776737600490077738154654618291350724475388416038050589788323764869807636610263541",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5026393739886403e-299,
            "status": "finite",
            "log2": -992.6690015601939
          },
          "falseMass": {
            "numerator": "12728767056973046855448082339413534540534006240045257635545116053974958288305206732851954432675385391983625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.555422933794512e-44,
            "status": "finite",
            "log2": -145.52752925930173
          },
          "noiseInformation": 2.6942829446017846,
          "jointInformation": 3.6942829446017846,
          "informationDensity": -847.1414723008924,
          "difference": 2.225287351012503,
          "margin": -2.205287351012503,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "29512665430652752148753480226197736314359272517043832886063884637676943433478020332709411004889",
            "value": 1.0351272306047475e+255,
            "status": "finite",
            "log2": 847.1414723008922
          }
        },
        {
          "k": 402,
          "count": "12538785459107777499396618423899899696645438982731149312626532232273839507882740960719835709799633371207750",
          "singleLikelihood": {
            "numerator": "3279185047850305794305942247355304034928808057449314765118209404186327048164224481412156778321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1350.3113973023346
          },
          "trueMass": {
            "numerator": "164467991182836223467451520554729903159831581188666117208980870725043539501654212882762801949075285595967842901432544246488127390004254326871645777138596861837176997107246207321201062526786083148751",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.111699779570905e-301,
            "status": "finite",
            "log2": -997.8606216327356
          },
          "falseMass": {
            "numerator": "6269392729553888749698309211949949848322719491365574656313266116136919753941370480359917854899816685603875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.830519165314843e-45,
            "status": "finite",
            "log2": -147.54922433040105
          },
          "noiseInformation": 2.7006227946046693,
          "jointInformation": 3.7006227946046693,
          "informationDensity": -850.3113973023346,
          "difference": 2.2316272010153875,
          "margin": -2.2116272010153875,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3279185047850305794305942247355304034928808057449314765118209404186327048164224481412156778321",
            "value": 9.316145075442727e+255,
            "status": "finite",
            "log2": 850.3113973023346
          }
        },
        {
          "k": 403,
          "count": "3049133932984025297620021353702705137149511216644299336569231163183216555266770754715989825211821514586500",
          "singleLikelihood": {
            "numerator": "364353894205589532700660249706144892769867561938812751679801044909591894240469386823572975369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1353.4813223037768
          },
          "trueMass": {
            "numerator": "2221927644874269354812551559741319342385372891713438032324252182389614953289511009444548468570358145630665647138184358444421902980482068380675666688665907424875013194997260589671588658343677439837",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.1109638224371348e-302,
            "status": "finite",
            "log2": -1003.0704728185907
          },
          "falseMass": {
            "numerator": "762283483246006324405005338425676284287377804161074834142307790795804138816692688678997456302955378646625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 9.314910129053464e-46,
            "status": "finite",
            "log2": -149.5891505148138
          },
          "noiseInformation": 2.7069626446075534,
          "jointInformation": 3.7069626446075534,
          "informationDensity": -853.4813223037767,
          "difference": 2.237967051018272,
          "margin": -2.217967051018272,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "364353894205589532700660249706144892769867561938812751679801044909591894240469386823572975369",
            "value": 8.384530567898454e+256,
            "status": "finite",
            "log2": 853.4813223037768
          }
        },
        {
          "k": 404,
          "count": "732094038364976370963222948785055441345303435679448108037661937694980212526922681206561913479075957710125",
          "singleLikelihood": {
            "numerator": "40483766022843281411184472189571654752207506882090305742200116101065766026718820758174775041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1356.6512473052192
          },
          "trueMass": {
            "numerator": "237103390047089249083407592183617135546073894935317369785976305491521067622753100017735095105967810919884012950939364982518068854902926988916985334214073729607124620368244529370895599405210903921",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.9637923755886157e-304,
            "status": "finite",
            "log2": -1008.2986964605976
          },
          "falseMass": {
            "numerator": "732094038364976370963222948785055441345303435679448108037661937694980212526922681206561913479075957710125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.2365006993024407e-46,
            "status": "finite",
            "log2": -151.64744915537847
          },
          "noiseInformation": 2.7133024946104385,
          "jointInformation": 3.7133024946104385,
          "informationDensity": -856.6512473052193,
          "difference": 2.2443069010211567,
          "margin": -2.2243069010211567,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "40483766022843281411184472189571654752207506882090305742200116101065766026718820758174775041",
            "value": 7.546077511108608e+257,
            "status": "finite",
            "log2": 856.6512473052192
          }
        },
        {
          "k": 405,
          "count": "173533401686512917561652847119420549059627481049943255238556903749921235561937228137851712824669856642400",
          "singleLikelihood": {
            "numerator": "4498196224760364601242719132174628305800834098010033971355568455673974002968757862019419449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1359.8211723066615
          },
          "trueMass": {
            "numerator": "975734115420120366598385153019000557802773230186491233687145290088564064291165020649115617720032143703226390744606440257276003518119041106654260634625817817313270042667672960374055964630497547",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 7.805872923360963e-306,
            "status": "finite",
            "log2": -1013.5454370590908
          },
          "falseMass": {
            "numerator": "5422918802703528673801651472481892158113358782810726726204903242185038611310538379307866025770933020075",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 5.301334990939119e-47,
            "status": "finite",
            "log2": -153.7242647524293
          },
          "noiseInformation": 2.719642344613323,
          "jointInformation": 3.719642344613323,
          "informationDensity": -859.8211723066615,
          "difference": 2.2506467510240413,
          "margin": -2.2306467510240413,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4498196224760364601242719132174628305800834098010033971355568455673974002968757862019419449",
            "value": 6.791469759997747e+258,
            "status": "finite",
            "log2": 859.8211723066615
          }
        },
        {
          "k": 406,
          "count": "40605106305957456079697094769322542267646824383607411940056418365129353148729154367231312114146887638000",
          "singleLikelihood": {
            "numerator": "499799580528929400138079903574958700644537122001114885706174272852663778107639762446602161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1362.9910973081037
          },
          "trueMass": {
            "numerator": "10147207549525061283727048663032846523400487889186279934349075266383534330340522929574820326590372594614833839161205454235492100078961018624209607037706917640367887690577879719270423277492859",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.029441509905012e-307,
            "status": "finite",
            "log2": -1018.8108423693873
          },
          "falseMass": {
            "numerator": "2537819144122341004981068423082658891727926523975463246253526147820584571795572147951957007134180477375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.2404601579783652e-47,
            "status": "finite",
            "log2": -155.81974506128353
          },
          "noiseInformation": 2.7259821946162073,
          "jointInformation": 3.7259821946162073,
          "informationDensity": -862.9910973081037,
          "difference": 2.256986601026926,
          "margin": -2.236986601026926,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "499799580528929400138079903574958700644537122001114885706174272852663778107639762446602161",
            "value": 6.1123227839979725e+259,
            "status": "finite",
            "log2": 862.9910973081039
          }
        },
        {
          "k": 407,
          "count": "9378083520294842436097117710850906567957743223732424379275929548703093847618035652382661765920902796000",
          "singleLikelihood": {
            "numerator": "55533286725436600015342211508328744516059680222346098411797141428073753123071084716289129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1366.161022309546
          },
          "trueMass": {
            "numerator": "130198950266906328237829999225373679115430775536924694762327747070714199706798956508331027941509012270515203505480932664228263364376513206480439948340765801009361376319181093859052660126171",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 5.20795801067625e-309,
            "status": "finite",
            "log2": -1024.0950635034183
          },
          "falseMass": {
            "numerator": "293065110009213826128034928464090830248679475741638261852372798396971682738063614136958180185028212375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.864944836608509e-48,
            "status": "finite",
            "log2": -157.93404119387213
          },
          "noiseInformation": 2.7323220446190923,
          "jointInformation": 3.7323220446190923,
          "informationDensity": -866.1610223095462,
          "difference": 2.2633264510298106,
          "margin": -2.2433264510298105,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "55533286725436600015342211508328744516059680222346098411797141428073753123071084716289129",
            "value": 5.501090505598176e+260,
            "status": "finite",
            "log2": 866.1610223095461
          }
        },
        {
          "k": 408,
          "count": "2137651390655442025875078301738074291225662058350773204099660411836734627030581656057812608408441078500",
          "singleLikelihood": {
            "numerator": "6170365191715177779482467945369860501784408913594010934644126825341528124785676079587681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1369.3309473109884
          },
          "trueMass": {
            "numerator": "26380179465843765852109346248278327141034993736239644036811504308445360724906978116067071020828623401215498749476528840464550093435764113731330969925253201511700671018919045160984525907917",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.3190089732922e-310,
            "status": "finite",
            "log2": -1029.398255035724
          },
          "falseMass": {
            "numerator": "534412847663860506468769575434518572806415514587693301024915102959183656757645414014453152102110269625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.530388965798809e-49,
            "status": "finite",
            "log2": -160.0673077247356
          },
          "noiseInformation": 2.738661894621977,
          "jointInformation": 3.738661894621977,
          "informationDensity": -869.3309473109884,
          "difference": 2.2696663010326956,
          "margin": -2.2496663010326956,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6170365191715177779482467945369860501784408913594010934644126825341528124785676079587681",
            "value": 4.950981455038358e+261,
            "status": "finite",
            "log2": 869.3309473109884
          }
        },
        {
          "k": 409,
          "count": "480840899609537081614932038532769767219464326083792505567649774789681138598566044883419951035639558000",
          "singleLikelihood": {
            "numerator": "685596132412797531053607549485540055753823212621556770516014091704614236087297342176409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1372.5008723124308
          },
          "trueMass": {
            "numerator": "164831330539094434827089096362510601533225986398672049129764900596099781763884948837148229687329078573201975343102462192525034541978422878516873759380826849978026469284199412850487393611",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 3.29662661078e-312,
            "status": "finite",
            "log2": -1034.720575114051
          },
          "falseMass": {
            "numerator": "30052556225596067600933252408298110451216520380237031597978110924355071162410377805213746939727472375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.4689383492750375e-49,
            "status": "finite",
            "log2": -162.21970280162031
          },
          "noiseInformation": 2.7450017446248616,
          "jointInformation": 3.7450017446248616,
          "informationDensity": -872.5008723124308,
          "difference": 2.2760061510355802,
          "margin": -2.25600615103558,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "685596132412797531053607549485540055753823212621556770516014091704614236087297342176409",
            "value": 4.455883309534522e+262,
            "status": "finite",
            "log2": 872.5008723124308
          }
        },
        {
          "k": 410,
          "count": "106723224059677742504777598796297680041393301642988092699161291477709716127974414839978574498154145800",
          "singleLikelihood": {
            "numerator": "76177348045866392339289727720615561750424801402395196724001565744957137343033038019601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1375.670797313873
          },
          "trueMass": {
            "numerator": "40649460918855267125379695850917248616595026456041074446635788493889106071852385756586690790100125068188021019572693928237881147208770953780584043641342122894310050690683324036299059129",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 8.1298921836e-314,
            "status": "finite",
            "log2": -1040.0621855748
          },
          "falseMass": {
            "numerator": "13340403007459717813097199849537210005174162705373511587395161434713714515996801854997321812269268225",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.260326580098254e-50,
            "status": "finite",
            "log2": -164.3913882609271
          },
          "noiseInformation": 2.7513415946277457,
          "jointInformation": 3.7513415946277457,
          "informationDensity": -875.6707973138729,
          "difference": 2.282346001038465,
          "margin": -2.262346001038465,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "76177348045866392339289727720615561750424801402395196724001565744957137343033038019601",
            "value": 4.01029497858107e+263,
            "status": "finite",
            "log2": 875.670797313873
          }
        },
        {
          "k": 411,
          "count": "23370049064163009307615532583130878841181014958318560445071815652053222509775419308024505364559302000",
          "singleLikelihood": {
            "numerator": "8464149782874043593254414191179506861158311266932799636000173971661904149225893113289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1378.8407223153154
          },
          "trueMass": {
            "numerator": "98903797856095540451045488688363135320182546121754439042909461055691255649275877753252289027007603572233627784848403718340343423865622758590228816645601272248929563724290326122382139",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.978075957e-315,
            "status": "finite",
            "log2": -1045.4232520635944
          },
          "falseMass": {
            "numerator": "1460628066510188081725970786445679927573813434894910027816988478253326406860963706751531585284956375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.139401270288148e-51,
            "status": "finite",
            "log2": -166.58252974827906
          },
          "noiseInformation": 2.757681444630631,
          "jointInformation": 3.757681444630631,
          "informationDensity": -878.8407223153154,
          "difference": 2.2886858510413495,
          "margin": -2.2686858510413495,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8464149782874043593254414191179506861158311266932799636000173971661904149225893113289",
            "value": 3.609265480722963e+264,
            "status": "finite",
            "log2": 878.8407223153154
          }
        },
        {
          "k": 412,
          "count": "5048384385219679195091704854122932565206578474005708445658717458817322338276728928189759653994606500",
          "singleLikelihood": {
            "numerator": "940461086986004843694934910131056317906479029659199959555574885740211572136210345921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1382.0106473167577
          },
          "trueMass": {
            "numerator": "9495618132893746602096060942032706627288291914602098246838125171474133498150542740064135623952186319232786270605725923335804276940712433133258214327355461952701975373745241666550173",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 4.7478093e-317,
            "status": "finite",
            "log2": -1050.8039441612536
          },
          "falseMass": {
            "numerator": "1262096096304919798772926213530733141301644618501427111414679364704330584569182232047439913498651625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5422493035331192e-51,
            "status": "finite",
            "log2": -168.7932968444959
          },
          "noiseInformation": 2.7640212946335154,
          "jointInformation": 3.7640212946335154,
          "informationDensity": -882.0106473167577,
          "difference": 2.295025701044234,
          "margin": -2.275025701044234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "940461086986004843694934910131056317906479029659199959555574885740211572136210345921",
            "value": 3.248338932650667e+265,
            "status": "finite",
            "log2": 882.0106473167577
          }
        },
        {
          "k": 413,
          "count": "1075684808472958278857312414437816139801885970248189693021712194614828972804726744989585592134444000",
          "singleLikelihood": {
            "numerator": "104495676331778315966103878903450701989608781073244439950619431748912396904023371769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1385.1805723182001
          },
          "trueMass": {
            "numerator": "28101102895300299333617613764422860613443963158628754564223668788328078687020707597714687076533239039967890496815438567848761648196889094556319708797662115006650989806617610527859",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.124044e-318,
            "status": "finite",
            "log2": -1056.204435515478
          },
          "falseMass": {
            "numerator": "33615150264779946214291012951181754368808936570255927906928506081713405400147710780924549754201375",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.286148637068148e-52,
            "status": "finite",
            "log2": -171.02386319727805
          },
          "noiseInformation": 2.7703611446364,
          "jointInformation": 3.7703611446364,
          "informationDensity": -885.1805723182,
          "difference": 2.3013655510471187,
          "margin": -2.2813655510471187,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "104495676331778315966103878903450701989608781073244439950619431748912396904023371769",
            "value": 2.9235050393856e+266,
            "status": "finite",
            "log2": 885.1805723181999
          }
        },
        {
          "k": 414,
          "count": "226049706128375290484507681294903391697497776356503631142243866984275653705341127570275233129702000",
          "singleLikelihood": {
            "numerator": "11610630703530923996233764322605633554400975674804937772291047972101377433780374641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1388.3504973196423
          },
          "trueMass": {
            "numerator": "1312289829249128310265556842460970946521537732045465188989511102836576943516264928073632729822003111367260586807806309931745713039790311984111548397958456256349241069874252343491",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 2.6245e-320,
            "status": "finite",
            "log2": -1061.624903978571
          },
          "falseMass": {
            "numerator": "14128106633023455655281730080931461981093611022281476946390241686517228356583820473142202070606375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 6.905674672099731e-53,
            "status": "finite",
            "log2": -173.27440665892863
          },
          "noiseInformation": 2.7767009946392847,
          "jointInformation": 3.7767009946392847,
          "informationDensity": -888.3504973196423,
          "difference": 2.3077054010500033,
          "margin": -2.2877054010500033,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11610630703530923996233764322605633554400975674804937772291047972101377433780374641",
            "value": 2.63115453544704e+267,
            "status": "finite",
            "log2": 888.3504973196423
          }
        },
        {
          "k": 415,
          "count": "46844035486844036100404001424967931773457370522070631995742102555777605346167077038659445901576800",
          "singleLikelihood": {
            "numerator": "1290070078170102666248196035845070394933441741644993085810116441344597492642263849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1391.5204223210847
          },
          "trueMass": {
            "numerator": "75540110652894936200025360409399934003247821255629187585741602974528525530387405498214467713984114844434009682377070049618561794793819833088081099213137374863477062924488421379",
            "denominator": "125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 6.03e-322,
            "status": "finite",
            "log2": -1067.0655317515454
          },
          "falseMass": {
            "numerator": "1463876108963876128137625044530247867920542828814707249866940704868050167067721157458107684424275",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.4310554742182574e-53,
            "status": "finite",
            "log2": -175.54510943046085
          },
          "noiseInformation": 2.7830408446421693,
          "jointInformation": 3.7830408446421693,
          "informationDensity": -891.5204223210847,
          "difference": 2.314045251052888,
          "margin": -2.294045251052888,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1290070078170102666248196035845070394933441741644993085810116441344597492642263849",
            "value": 2.368039081902336e+268,
            "status": "finite",
            "log2": 891.5204223210847
          }
        },
        {
          "k": 416,
          "count": "9571497635533036222438317598851620674865087726865393556822304608752635707750484491072242552004875",
          "singleLikelihood": {
            "numerator": "143341119796678074027577337316118932770382415738332565090012937927177499182473761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1394.690347322527
          },
          "trueMass": {
            "numerator": "10975913513668495003422488264613665624403529584151249478270147440743460974500734132219196163570341473122890295730001631141158551380298608226473322107891755322043675809541052679",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": 1.5e-323,
            "status": "finite",
            "log2": -1072.5265055349912
          },
          "falseMass": {
            "numerator": "9571497635533036222438317598851620674865087726865393556822304608752635707750484491072242552004875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 2.9240316179940355e-54,
            "status": "finite",
            "log2": -177.83615821246423
          },
          "noiseInformation": 2.789380694645054,
          "jointInformation": 3.789380694645054,
          "informationDensity": -894.6903473225269,
          "difference": 2.3203851010557726,
          "margin": -2.3003851010557725,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "143341119796678074027577337316118932770382415738332565090012937927177499182473761",
            "value": 2.1312351737121025e+269,
            "status": "finite",
            "log2": 894.690347322527
          }
        },
        {
          "k": 417,
          "count": "1928071466150539670706999228545650207886492491742669205690823949964559710913766660072106413353500",
          "singleLikelihood": {
            "numerator": "15926791088519786003064148590679881418931379526481396121112548658575277686941529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1397.8602723239692
          },
          "trueMass": {
            "numerator": "61415982890231386909638223702874228114168430926505792444357339796326320400883404416893983329330447891175245459720232948032062237939320749468675663273574969827582518518615003",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1078.0080166870994
          },
          "falseMass": {
            "numerator": "482017866537634917676749807136412551971623122935667301422705987491139927728441665018026603338375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 5.8901356333692805e-55,
            "status": "finite",
            "log2": -180.14774436313013
          },
          "noiseInformation": 2.7957205446479385,
          "jointInformation": 3.7957205446479385,
          "informationDensity": -897.8602723239693,
          "difference": 2.326724951058657,
          "margin": -2.306724951058657,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "15926791088519786003064148590679881418931379526481396121112548658575277686941529",
            "value": 1.9181116563408921e+270,
            "status": "finite",
            "log2": 897.8602723239692
          }
        },
        {
          "k": 418,
          "count": "382846726532284192987274966433705663288466212475219004957747339347029799057039791354030699302250",
          "singleLikelihood": {
            "numerator": "1769643454279976222562683176742209046547931058497932902345838739841697520771281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1401.0301973254116
          },
          "trueMass": {
            "numerator": "2710008814401491288410405405283658125186592114247730341776533334978779688077258142797554819954506738419747673129600922215130869616673908668740074455984435138590828834154729",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1083.5102613892757
          },
          "falseMass": {
            "numerator": "191423363266142096493637483216852831644233106237609502478873669673514899528519895677015349651125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.1695723865302639e-55,
            "status": "finite",
            "log2": -182.48006406386406
          },
          "noiseInformation": 2.802060394650823,
          "jointInformation": 3.802060394650823,
          "informationDensity": -901.0301973254116,
          "difference": 2.333064801061542,
          "margin": -2.3130648010615418,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1769643454279976222562683176742209046547931058497932902345838739841697520771281",
            "value": 1.7263004907068027e+271,
            "status": "finite",
            "log2": 901.0301973254116
          }
        },
        {
          "k": 419,
          "count": "74924657698442252565528752380820678734258304112095366125382534192020151605434994966659945925500",
          "singleLikelihood": {
            "numerator": "196627050475552913618075908526912116283103450944214766927315415537966391196809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1404.200122326854
          },
          "trueMass": {
            "numerator": "29464428902270257975292129837345527216295485729025972954876124830053027634889308898090625197065705721349683001409079239146212053641906723791658194827727881379534336303459",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1089.0334408197991
          },
          "falseMass": {
            "numerator": "18731164424610563141382188095205169683564576028023841531345633548005037901358748741664986481375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.288900613257318e-56,
            "status": "finite",
            "log2": -184.83331849294535
          },
          "noiseInformation": 2.8084002446537077,
          "jointInformation": 3.8084002446537077,
          "informationDensity": -904.2001223268538,
          "difference": 2.3394046510644264,
          "margin": -2.3194046510644264,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "196627050475552913618075908526912116283103450944214766927315415537966391196809",
            "value": 1.5536704416361226e+272,
            "status": "finite",
            "log2": 904.200122326854
          }
        },
        {
          "k": 420,
          "count": "14449755413271005851923402244872559470178387221618392038466631594175314952476749029284418142775",
          "singleLikelihood": {
            "numerator": "21847450052839212624230656502990235142567050104912751880812823948662932355201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1407.370047328296
          },
          "trueMass": {
            "numerator": "12627612386687253417982341358862368806983779598153988409232624927165583272095418099181696513028159594864149857746748245348376594417960024482139226354740520591229001272911",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1094.577761336023
          },
          "falseMass": {
            "numerator": "14449755413271005851923402244872559470178387221618392038466631594175314952476749029284418142775",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 4.414308325567685e-57,
            "status": "finite",
            "log2": -187.20771400772685
          },
          "noiseInformation": 2.8147400946565924,
          "jointInformation": 3.8147400946565924,
          "informationDensity": -907.3700473282962,
          "difference": 2.345744501067311,
          "margin": -2.325744501067311,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "21847450052839212624230656502990235142567050104912751880812823948662932355201",
            "value": 1.3983033974725104e+273,
            "status": "finite",
            "log2": 907.3700473282961
          }
        },
        {
          "k": 421,
          "count": "2745796753115630565686157196175308212860501134749338154577982250674644171492018817916278982000",
          "singleLikelihood": {
            "numerator": "2427494450315468069358961833665581682507450011656972431201424883184770261689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1410.5399723297385
          },
          "trueMass": {
            "numerator": "3332703189941212303505500490594449408018944206427550385123416449502661196119139113006517950126196778797611469450184282224432988761667992737434475153006207598635260299",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1100.1434346656445
          },
          "falseMass": {
            "numerator": "171612297069726910355384824760956763303781320921833634661123890667165260718251176119767436375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 8.388234347872086e-58,
            "status": "finite",
            "log2": -189.6034623359059
          },
          "noiseInformation": 2.821079944659477,
          "jointInformation": 3.821079944659477,
          "informationDensity": -910.5399723297385,
          "difference": 2.3520843510701956,
          "margin": -2.3320843510701956,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2427494450315468069358961833665581682507450011656972431201424883184770261689",
            "value": 1.2584730577252595e+274,
            "status": "finite",
            "log2": 910.5399723297385
          }
        },
        {
          "k": 422,
          "count": "514023562787049323908072081748458172549714667405681787231423217543357558170306840320819999000",
          "singleLikelihood": {
            "numerator": "269721605590607563262106870407286853611938890184108047911269431464974473521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1413.7098973311809
          },
          "trueMass": {
            "numerator": "138643260666327420735615870856746447200366820593879136611242706430073846494687725080313279652432620076361930535315723167841077468231580529888006075348862770032746479",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1105.7306781076168
          },
          "falseMass": {
            "numerator": "64252945348381165488509010218557271568714333425710223403927902192919694771288355040102499875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.570309273653779e-58,
            "status": "finite",
            "log2": -192.02078077643597
          },
          "noiseInformation": 2.8274197946623616,
          "jointInformation": 3.8274197946623616,
          "informationDensity": -913.7098973311809,
          "difference": 2.3584242010730803,
          "margin": -2.3384242010730802,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "269721605590607563262106870407286853611938890184108047911269431464974473521",
            "value": 1.1326257519527334e+275,
            "status": "finite",
            "log2": 913.7098973311809
          }
        },
        {
          "k": 423,
          "count": "94784486755058740578793433513900088555266534415232102610049671320051748315092041477598014000",
          "singleLikelihood": {
            "numerator": "29969067287845284806900763378587428179104321131567560879029936829441608169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1416.879822332623
          },
          "trueMass": {
            "numerator": "1420301330703117785313637762913872193541976885516492337231012753026761232806099626512271580363769945620728996815685107314368799910961817879073348289625859740288183",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1111.3397147433168
          },
          "falseMass": {
            "numerator": "5924030422191171286174589594618755534704158400952006413128104457503234269693252592349875875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.895605752836756e-59,
            "status": "finite",
            "log2": -194.45989241069367
          },
          "noiseInformation": 2.833759644665246,
          "jointInformation": 3.833759644665246,
          "informationDensity": -916.8798223326231,
          "difference": 2.364764051075965,
          "margin": -2.344764051075965,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "29969067287845284806900763378587428179104321131567560879029936829441608169",
            "value": 1.0193631767574601e+276,
            "status": "finite",
            "log2": 916.8798223326232
          }
        },
        {
          "k": 424,
          "count": "17213220472027176944733713161722421742347931957483188445692982763311284481750205645695865750",
          "singleLikelihood": {
            "numerator": "3329896365316142756322307042065269797678257903507506764336659647715734241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1420.0497473340654
          },
          "trueMass": {
            "numerator": "229272961140754862618763328604545406504679706886310083787815475855472987266393440757746146096457622249048496341316044576952615499253794500395488088681742557656583",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1116.9707736586274
          },
          "falseMass": {
            "numerator": "8606610236013588472366856580861210871173965978741594222846491381655642240875102822847932875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 5.258529315293164e-60,
            "status": "finite",
            "log2": -196.92102632456198
          },
          "noiseInformation": 2.840099494668131,
          "jointInformation": 3.840099494668131,
          "informationDensity": -920.0497473340654,
          "difference": 2.3711039010788495,
          "margin": -2.3511039010788495,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3329896365316142756322307042065269797678257903507506764336659647715734241",
            "value": 9.17426859081714e+276,
            "status": "finite",
            "log2": 920.0497473340654
          }
        },
        {
          "k": 425,
          "count": "3078128837350742230117087530096244829219865479455817227935686329439194401442389715465613640",
          "singleLikelihood": {
            "numerator": "369988485035126972924700782451696644186473100389722973815184405301748249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1423.2196723355078
          },
          "trueMass": {
            "numerator": "28471805631858446991872570218865115840450421116600598640316954517999913451382191989524031214592776619162885166568659130471239833240667290898786102516033389512909",
            "denominator": "2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1122.6240901776512
          },
          "falseMass": {
            "numerator": "384766104668842778764635941262030603652483184931977153491960791179899300180298714433201705",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.403487716759541e-61,
            "status": "finite",
            "log2": -199.40441784214346
          },
          "noiseInformation": 2.8464393446710154,
          "jointInformation": 3.8464393446710154,
          "informationDensity": -923.2196723355078,
          "difference": 2.377443751081734,
          "margin": -2.357443751081734,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "369988485035126972924700782451696644186473100389722973815184405301748249",
            "value": 8.256841731735427e+277,
            "status": "finite",
            "log2": 923.2196723355078
          }
        },
        {
          "k": 426,
          "count": "541924091082877153189628086284550145989412936523911483791494072084365211521547485117185500",
          "singleLikelihood": {
            "numerator": "41109831670569663658300086939077404909608122265524774868353822811305361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1426.3895973369501
          },
          "trueMass": {
            "numerator": "44556816325287084494323271078036175024179062780282626980151728510172008531114541454654195953979306133275250651907134789469858893960355697807176999242618762931",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1128.2999061088235
          },
          "falseMass": {
            "numerator": "135481022770719288297407021571137536497353234130977870947873518021091302880386871279296375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.655543612105553e-61,
            "status": "finite",
            "log2": -201.91030877187342
          },
          "noiseInformation": 2.8527791946739005,
          "jointInformation": 3.8527791946739005,
          "informationDensity": -926.3895973369503,
          "difference": 2.3837836010846187,
          "margin": -2.3637836010846187,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "41109831670569663658300086939077404909608122265524774868353822811305361",
            "value": 7.431157558561884e+278,
            "status": "finite",
            "log2": 926.3895973369501
          }
        },
        {
          "k": 427,
          "count": "93916587213426017180403930644160915230015356680958898830376021860053924244952023181901000",
          "singleLikelihood": {
            "numerator": "4567759074507740406477787437675267212178680251724974985372646979033929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1429.5595223383923
          },
          "trueMass": {
            "numerator": "428988343490924310770221449359182533409998782948336507485197490209826780028945624205621975096860350489509308904648448402390002361835326780865352321617719029",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1133.9984700042573
          },
          "falseMass": {
            "numerator": "11739573401678252147550491330520114403751919585119862353797002732506740530619002897737625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.8690919741407715e-62,
            "status": "finite",
            "log2": -204.43894766586496
          },
          "noiseInformation": 2.8591190446767847,
          "jointInformation": 3.8591190446767847,
          "informationDensity": -929.5595223383923,
          "difference": 2.3901234510875033,
          "margin": -2.3701234510875033,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4567759074507740406477787437675267212178680251724974985372646979033929",
            "value": 6.688041802705696e+279,
            "status": "finite",
            "log2": 929.5595223383923
          }
        },
        {
          "k": 428,
          "count": "16018483333131073023760483497719034606988600555397195361255723354635365583835274981959750",
          "singleLikelihood": {
            "numerator": "507528786056415600719754159741696356908742250191663887263627442114881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1432.7294473398347
          },
          "trueMass": {
            "numerator": "32519365602115757721937866877695041473447467450912320920477068312894449576441360921090762390520047337210986033270339286993219285995824356181901058648072159",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1139.7200374332208
          },
          "falseMass": {
            "numerator": "8009241666565536511880241748859517303494300277698597680627861677317682791917637490979875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 4.893544722249447e-63,
            "status": "finite",
            "log2": -206.9905900933861
          },
          "noiseInformation": 2.8654588946796693,
          "jointInformation": 3.8654588946796693,
          "informationDensity": -932.7294473398347,
          "difference": 2.396463301090388,
          "margin": -2.376463301090388,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "507528786056415600719754159741696356908742250191663887263627442114881",
            "value": 6.019237622435126e+280,
            "status": "finite",
            "log2": 932.7294473398347
          }
        },
        {
          "k": 429,
          "count": "2688416783182837430561200027589208605368716177129599221469492031547194223860465731238000",
          "singleLikelihood": {
            "numerator": "56392087339601733413306017749077372989860250021295987473736382457209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1435.899372341277
          },
          "trueMass": {
            "numerator": "75802717021248852498689666381573523248129294757371377437009483246840208802893615200677767810070040413079221522774683652664846820503087077347088714797371",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1145.4648712707203
          },
          "falseMass": {
            "numerator": "168026048948927339410075001724325537835544761070599951341843251971699638991279108202375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 8.212942191187882e-64,
            "status": "finite",
            "log2": -209.56549892944332
          },
          "noiseInformation": 2.871798744682554,
          "jointInformation": 3.871798744682554,
          "informationDensity": -935.899372341277,
          "difference": 2.4028031510932726,
          "margin": -2.3828031510932726,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "56392087339601733413306017749077372989860250021295987473736382457209",
            "value": 5.417313860191613e+281,
            "status": "finite",
            "log2": 935.8993723412771
          }
        },
        {
          "k": 430,
          "count": "443901375827863854813593492927520490653904299014422197033334730790350674172309457948600",
          "singleLikelihood": {
            "numerator": "6265787482177970379256224194341930332206694446810665274859598050801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1439.0692973427192
          },
          "trueMass": {
            "numerator": "13906958419919040122498620964061292378855762087269684232629646797223914276499862220279383758436622401365955369811376070643938305570333804887967180234143",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1151.2332420022474
          },
          "falseMass": {
            "numerator": "55487671978482981851699186615940061331738037376802774629166841348793834271538682243575",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.3560904548240456e-64,
            "status": "finite",
            "log2": -212.16394465952808
          },
          "noiseInformation": 2.8781385946854385,
          "jointInformation": 3.8781385946854385,
          "informationDensity": -939.0692973427192,
          "difference": 2.409143001096157,
          "margin": -2.389143001096157,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6265787482177970379256224194341930332206694446810665274859598050801",
            "value": 4.875582474172452e+282,
            "status": "finite",
            "log2": 939.0692973427192
          }
        },
        {
          "k": 431,
          "count": "72095351062530092429121913004469685257014619329488523880123970197968786988542139342000",
          "singleLikelihood": {
            "numerator": "696198609130885597695136021593547814689632716312296141651066450089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1442.2392223441616
          },
          "trueMass": {
            "numerator": "25096341567268182742328008958089468072181060740110283482445869445879711249161906558895510778307903276504688731291475249937501453723211300390763150719",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1157.025428045834
          },
          "falseMass": {
            "numerator": "4505959441408130776820119562779355328563413708093032742507748137373049186783883708875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 2.20246709600193e-65,
            "status": "finite",
            "log2": -214.78620570167223
          },
          "noiseInformation": 2.884478444688323,
          "jointInformation": 3.884478444688323,
          "informationDensity": -942.2392223441616,
          "difference": 2.415482851099042,
          "margin": -2.395482851099042,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "696198609130885597695136021593547814689632716312296141651066450089",
            "value": 4.388024226755207e+283,
            "status": "finite",
            "log2": 942.2392223441616
          }
        },
        {
          "k": 432,
          "count": "11515229683598556429651416660436130284106501698459972564186467462175570144003258367125",
          "singleLikelihood": {
            "numerator": "77355401014542844188348446843727534965514746256921793516785161121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1445.409147345604
          },
          "trueMass": {
            "numerator": "7126121679594669173747459333778490934076103666944895309830308608089300725070664825365391949396071300735899269379060873439043622662146418629475956377",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1162.8417160926615
          },
          "falseMass": {
            "numerator": "11515229683598556429651416660436130284106501698459972564186467462175570144003258367125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.5178293894475274e-66,
            "status": "finite",
            "log2": -217.43256874705753
          },
          "noiseInformation": 2.8908182946912078,
          "jointInformation": 3.8908182946912078,
          "informationDensity": -945.4091473456039,
          "difference": 2.4218227011019264,
          "margin": -2.4018227011019264,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "77355401014542844188348446843727534965514746256921793516785161121",
            "value": 3.949221804079686e+284,
            "status": "finite",
            "log2": 945.409147345604
          }
        },
        {
          "k": 433,
          "count": "1808396347539727106735095457066182123139127287517963358809884035630343579196816556500",
          "singleLikelihood": {
            "numerator": "8595044557171427132038716315969726107279416250769088168531684569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1448.5790723470463
          },
          "trueMass": {
            "numerator": "31086494368260040018913730734984435688810305963064721649246919768416246427046780095255751383046757021429378388361312509228571102195660538029533297",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1168.6824014675801
          },
          "falseMass": {
            "numerator": "452099086884931776683773864266545530784781821879490839702471008907585894799204139125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 5.524535761718981e-67,
            "status": "finite",
            "log2": -220.1033291205339
          },
          "noiseInformation": 2.897158144694093,
          "jointInformation": 3.897158144694093,
          "informationDensity": -948.5790723470465,
          "difference": 2.428162551104811,
          "margin": -2.408162551104811,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8595044557171427132038716315969726107279416250769088168531684569",
            "value": 3.5542996236717175e+285,
            "status": "finite",
            "log2": 948.5790723470463
          }
        },
        {
          "k": 434,
          "count": "279176394666271235371546994524041940668943613510837661383092696744776543332227440750",
          "singleLikelihood": {
            "numerator": "955004950796825236893190701774414011919935138974343129836853841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1451.7489973484885
          },
          "trueMass": {
            "numerator": "1066459356207589698549523788655380026190624935752860394521015680739318233800375968449634072024645530177044727096880664679116366537178318508949683",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1174.5477885110092
          },
          "falseMass": {
            "numerator": "139588197333135617685773497262020970334471806755418830691546348372388271666113720375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 8.52866119896709e-68,
            "status": "finite",
            "log2": -222.79879116252062
          },
          "noiseInformation": 2.903497994696977,
          "jointInformation": 3.903497994696977,
          "informationDensity": -951.7489973484885,
          "difference": 2.4345024011076957,
          "margin": -2.4145024011076957,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "955004950796825236893190701774414011919935138974343129836853841",
            "value": 3.1988696613045457e+286,
            "status": "finite",
            "log2": 951.7489973484885
          }
        },
        {
          "k": 435,
          "count": "42357797811434256401200233651923604791150065498196058968469236747483337609027611700",
          "singleLikelihood": {
            "numerator": "106111661199647248543687855752712667991103904330482569981872649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1454.9189223499309
          },
          "trueMass": {
            "numerator": "44946562905300715264539316763253564322210246334411740765253534437289274221471784110904117978050194758419509571132901576514482880877247140223933",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1180.4381909838291
          },
          "falseMass": {
            "numerator": "10589449452858564100300058412980901197787516374549014742117309186870834402256902925",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.2940037681191447e-68,
            "status": "finite",
            "log2": -225.51926863389826
          },
          "noiseInformation": 2.9098378446998616,
          "jointInformation": 3.9098378446998616,
          "informationDensity": -954.9189223499308,
          "difference": 2.4408422511105803,
          "margin": -2.4208422511105803,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "106111661199647248543687855752712667991103904330482569981872649",
            "value": 2.878982695174091e+287,
            "status": "finite",
            "log2": 954.9189223499309
          }
        },
        {
          "k": 436,
          "count": "6314809306750519876325722906823473191341179489409962919611239423363341616024758625",
          "singleLikelihood": {
            "numerator": "11790184577738583171520872861412518665678211592275841109096961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1458.0888473513733
          },
          "trueMass": {
            "numerator": "595622138398480426543334472907539588367719880068657115135877622512498027399728025934509208679564252659993500942637839444126684456069533968309",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1186.35393249702
          },
          "falseMass": {
            "numerator": "6314809306750519876325722906823473191341179489409962919611239423363341616024758625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.929134057975789e-69,
            "status": "finite",
            "log2": -228.2650851456467
          },
          "noiseInformation": 2.9161776947027467,
          "jointInformation": 3.9161776947027467,
          "informationDensity": -958.0888473513734,
          "difference": 2.447182101113465,
          "margin": -2.427182101113465,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11790184577738583171520872861412518665678211592275841109096961",
            "value": 2.591084425656682e+288,
            "status": "finite",
            "log2": 958.0888473513733
          }
        },
        {
          "k": 437,
          "count": "924823330965751194702165368505039552049966790211070084336657489920489389989896000",
          "singleLikelihood": {
            "numerator": "1310020508637620352391208095712502073964245732475093456566329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1461.2587723528154
          },
          "trueMass": {
            "numerator": "151442191303961461109416341954624863556501367929991638732742848337782361403439620120648158830298564113906305858794263779335541433020476473",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1192.2953469679628
          },
          "falseMass": {
            "numerator": "14450364546339862417221333882891243000780731097047970067760273280007646718592125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 2.8252764235801032e-70,
            "status": "finite",
            "log2": -231.03657461514732
          },
          "noiseInformation": 2.922517544705631,
          "jointInformation": 3.922517544705631,
          "informationDensity": -961.2587723528154,
          "difference": 2.4535219511163495,
          "margin": -2.4335219511163495,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1310020508637620352391208095712502073964245732475093456566329",
            "value": 2.3319759830910136e+289,
            "status": "finite",
            "log2": 961.2587723528154
          }
        },
        {
          "k": 438,
          "count": "133022533906032706087297758483601579404447278044058025829245255399522446505396000",
          "singleLikelihood": {
            "numerator": "145557834293068928043467566190278008218249525830565939618481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1464.4286973542578
          },
          "trueMass": {
            "numerator": "4840617986884612912173125085307644040618765184976901694653880997098066346228663656824370373571186980809790598226300668745884885986955869",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1198.2627791055065
          },
          "falseMass": {
            "numerator": "4156954184563522065228054952612549356388977438876813307163914231235076453293625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 4.063753759943984e-71,
            "status": "finite",
            "log2": -233.8340817512486
          },
          "noiseInformation": 2.9288573947085155,
          "jointInformation": 3.9288573947085155,
          "informationDensity": -964.4286973542578,
          "difference": 2.459861801119234,
          "margin": -2.439861801119234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "145557834293068928043467566190278008218249525830565939618481",
            "value": 2.0987783847819127e+290,
            "status": "finite",
            "log2": 964.4286973542578
          }
        },
        {
          "k": 439,
          "count": "18786781553927170335791482974905006658486859313739402281123475705627315907368000",
          "singleLikelihood": {
            "numerator": "16173092699229880893718618465586445357583280647840659957609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1467.5986223557002
          },
          "trueMass": {
            "numerator": "37980044948980764433653980674395587258714685075748912309357203470017731392834364303101868281626625260719693380160799982567054281345389",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1204.2565849260973
          },
          "falseMass": {
            "numerator": "293543461780112036496741921482890729038857176777178160642554307900426811052625",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 5.739242212221572e-72,
            "status": "finite",
            "log2": -236.65796257039705
          },
          "noiseInformation": 2.9351972447114005,
          "jointInformation": 3.9351972447114005,
          "informationDensity": -967.5986223557003,
          "difference": 2.4662016511221188,
          "margin": -2.4462016511221187,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16173092699229880893718618465586445357583280647840659957609",
            "value": 1.8889005463037211e+291,
            "status": "finite",
            "log2": 967.5986223557002
          }
        },
        {
          "k": 440,
          "count": "2604531079067175887462001048793648650381132768495689861701209131916514250794200",
          "singleLikelihood": {
            "numerator": "1797010299914431210413179829509605039731475627537851106401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1470.7685473571423
          },
          "trueMass": {
            "numerator": "23401845877654814449019119405435664876581775652734178291624135471425066817807032550396100658376001423271730264543523221581720314768371",
            "denominator": "500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1210.2771323035013
          },
          "falseMass": {
            "numerator": "325566384883396985932750131099206081297641596061961232712651141489564281349275",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.956676703307179e-73,
            "status": "finite",
            "log2": -239.50858494635884
          },
          "noiseInformation": 2.9415370947142847,
          "jointInformation": 3.9415370947142847,
          "informationDensity": -970.7685473571423,
          "difference": 2.4725415011250034,
          "margin": -2.4525415011250034,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1797010299914431210413179829509605039731475627537851106401",
            "value": 1.7000104916733492e+292,
            "status": "finite",
            "log2": 970.7685473571423
          }
        },
        {
          "k": 441,
          "count": "354357969941112365641088578067163081684507859659277532204246140396804659972000",
          "singleLikelihood": {
            "numerator": "199667811101603467823686647723289448859052847504205678489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1473.9384723585847
          },
          "trueMass": {
            "numerator": "17688470051137425887391624645076088342087509941598018361015975413019702810133811451546561344199547561051950313335996388194799935577",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1216.3248015548925
          },
          "falseMass": {
            "numerator": "11073686560659761426284018064598846302640870614352422881382691887400145624125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.082541048069004e-73,
            "status": "finite",
            "log2": -242.38632919630783
          },
          "noiseInformation": 2.9478769447171693,
          "jointInformation": 3.9478769447171693,
          "informationDensity": -973.9384723585847,
          "difference": 2.478881351127888,
          "margin": -2.458881351127888,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "199667811101603467823686647723289448859052847504205678489",
            "value": 1.530009442506014e+293,
            "status": "finite",
            "log2": 973.9384723585847
          }
        },
        {
          "k": 442,
          "count": "47301176983089659667023135986340773347027067239586819909616566252062160494000",
          "singleLikelihood": {
            "numerator": "22185312344622607535965183080365494317672538611578408721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1477.108397360027
          },
          "trueMass": {
            "numerator": "524695692819058887559630896963041333425421360761328850326768501442012300551983346224860291255793517396714463794280435848915634087",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1222.3999860663644
          },
          "falseMass": {
            "numerator": "2956323561443103729188945999146298334189191702474176244351035390753885030875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.4450208560197112e-74,
            "status": "finite",
            "log2": -245.29158870633742
          },
          "noiseInformation": 2.9542167947200544,
          "jointInformation": 3.9542167947200544,
          "informationDensity": -977.1083973600272,
          "difference": 2.4852212011307726,
          "margin": -2.4652212011307726,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "22185312344622607535965183080365494317672538611578408721",
            "value": 1.3770084982554127e+294,
            "status": "finite",
            "log2": 977.1083973600271
          }
        },
        {
          "k": 443,
          "count": "6192930620810835802905963628008498542048690518952676195841446597335452164000",
          "singleLikelihood": {
            "numerator": "2465034704958067503996131453373943813074726512397600969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1480.2783223614695
          },
          "trueMass": {
            "numerator": "3816447226424055113927588666147027506731181204434044810503207058394370884376101590298707912319541511037050275905225141614886729",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1228.5030929612342
          },
          "falseMass": {
            "numerator": "193529081900338618840811363375265579439021578717271131120045206166732880125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.8919008950145203e-75,
            "status": "finite",
            "log2": -248.22477059976487
          },
          "noiseInformation": 2.960556644722939,
          "jointInformation": 3.960556644722939,
          "informationDensity": -980.2783223614695,
          "difference": 2.4915610511336577,
          "margin": -2.4715610511336576,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2465034704958067503996131453373943813074726512397600969",
            "value": 1.2393076484298715e+295,
            "status": "finite",
            "log2": 980.2783223614695
          }
        },
        {
          "k": 444,
          "count": "795038390509499190913603438730820758776521080135816538655320846955226967000",
          "singleLikelihood": {
            "numerator": "273892744995340833777347939263771534786080723599733441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1483.4482473629116
          },
          "trueMass": {
            "numerator": "217755247153324465959832386356737305188866194847588142341023826154633774183621412059085436438652518647759625351949782854903447",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1234.634543814862
          },
          "falseMass": {
            "numerator": "99379798813687398864200429841352594847065135016977067331915105869403370875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 2.428791689545668e-76,
            "status": "finite",
            "log2": -251.18629645195023
          },
          "noiseInformation": 2.966896494725823,
          "jointInformation": 3.966896494725823,
          "informationDensity": -983.4482473629116,
          "difference": 2.4979009011365423,
          "margin": -2.4779009011365423,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "273892744995340833777347939263771534786080723599733441",
            "value": 1.1153768835868842e+296,
            "status": "finite",
            "log2": 983.4482473629116
          }
        },
        {
          "k": 445,
          "count": "100049774985465066721711893413316769643786922444057811606062848156163393600",
          "singleLikelihood": {
            "numerator": "30432527221704537086371993251530170531786747066637049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1486.618172364354
          },
          "trueMass": {
            "numerator": "1902979687981612062070944699746767960452014187182418222705576508217773307472346921864666735418935868332481120429024319580929",
            "denominator": "62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1240.7947754201004
          },
          "falseMass": {
            "numerator": "1563277734147891667526748334583074525684170663188403306344732002440053025",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 3.0564569576305036e-77,
            "status": "finite",
            "log2": -254.1766030557464
          },
          "noiseInformation": 2.973236344728708,
          "jointInformation": 3.973236344728708,
          "informationDensity": -986.6181723643539,
          "difference": 2.504240751139427,
          "margin": -2.484240751139427,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "30432527221704537086371993251530170531786747066637049",
            "value": 1.0038391952281959e+297,
            "status": "finite",
            "log2": 986.618172364354
          }
        },
        {
          "k": 446,
          "count": "12337976735875736927565368021821574731857131691531792911061561992351988000",
          "singleLikelihood": {
            "numerator": "3381391913522726342930221472392241170198527451848561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1489.7880973657964
          },
          "trueMass": {
            "numerator": "10429883690980434819521869306036097441441034409071549800578645535822374879021333403343963173696210538942347944553695822317",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1246.9842406079383
          },
          "falseMass": {
            "numerator": "385561772996116778986417750681924210370535365360368528470673812260999625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 3.7691733782438945e-78,
            "status": "finite",
            "log2": -257.19614324214206
          },
          "noiseInformation": 2.979576194731593,
          "jointInformation": 3.979576194731593,
          "informationDensity": -989.7880973657964,
          "difference": 2.5105806011423115,
          "margin": -2.4905806011423115,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3381391913522726342930221472392241170198527451848561",
            "value": 9.034552757053762e+297,
            "status": "finite",
            "log2": 989.7880973657964
          }
        },
        {
          "k": 447,
          "count": "1490493833864182984538098150287170101835089734547464915430255811156616000",
          "singleLikelihood": {
            "numerator": "375710212613636260325580163599137907799836383538729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1492.9580223672385
          },
          "trueMass": {
            "numerator": "69999219402553253822294424872725486184168016168265434903212386146458891805512304720429283044941010328472133856065072633",
            "denominator": "12500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1253.2034091284004
          },
          "falseMass": {
            "numerator": "23288966154127859133407783598237032841173277102304139303597747049322125",
            "denominator": "51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584",
            "value": 4.5533638126436307e-79,
            "status": "finite",
            "log2": -260.24538676116185
          },
          "noiseInformation": 2.985916044734477,
          "jointInformation": 3.985916044734477,
          "informationDensity": -992.9580223672385,
          "difference": 2.516920451145196,
          "margin": -2.496920451145196,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "375710212613636260325580163599137907799836383538729",
            "value": 8.131097481348387e+298,
            "status": "finite",
            "log2": 992.9580223672385
          }
        },
        {
          "k": 448,
          "count": "176330743738396647724373218672366105797454812346017054727240084802010375",
          "singleLikelihood": {
            "numerator": "41745579179292917813953351511015323088870709282081",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1496.127947368681
          },
          "trueMass": {
            "numerator": "58888232195798769088596897115150012186681029474889969045559626440671766122097653177504000021934500752524176101134108723",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1259.4527685973371
          },
          "falseMass": {
            "numerator": "176330743738396647724373218672366105797454812346017054727240084802010375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 5.386792010493581e-80,
            "status": "finite",
            "log2": -263.32482122865633
          },
          "noiseInformation": 2.9922558947373616,
          "jointInformation": 3.9922558947373616,
          "informationDensity": -996.1279473686808,
          "difference": 2.5232603011480808,
          "margin": -2.5032603011480807,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "41745579179292917813953351511015323088870709282081",
            "value": 7.317987733213548e+299,
            "status": "finite",
            "log2": 996.1279473686809
          }
        },
        {
          "k": 449,
          "count": "20421377893979121785450795926421018934226392521142286961729363941435500",
          "singleLikelihood": {
            "numerator": "4638397686588101979328150167890591454318967698009",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1499.2978723701233
          },
          "trueMass": {
            "numerator": "189444943960748329164008825166283137447872651119418361195811715844774303288114202253786686534310445380552905051903839",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1265.7328255153795
          },
          "falseMass": {
            "numerator": "5105344473494780446362698981605254733556598130285571740432340985358875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.238600992108379e-81,
            "status": "finite",
            "log2": -266.4349531452564
          },
          "noiseInformation": 2.9985957447402467,
          "jointInformation": 3.9985957447402467,
          "informationDensity": -999.2978723701234,
          "difference": 2.5296001511509654,
          "margin": -2.5096001511509654,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4638397686588101979328150167890591454318967698009",
            "value": 6.586188959892193e+300,
            "status": "finite",
            "log2": 999.2978723701233
          }
        },
        {
          "k": 450,
          "count": "2314422827984300469017756871661048812545657819062792522329327913362690",
          "singleLikelihood": {
            "numerator": "515377520732011331036461129765621272702107522001",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1502.4677973715657
          },
          "trueMass": {
            "numerator": "119280149901211910955116667697289382837549447001115264456622191457820857625849682900532358188269539684051829106754269",
            "denominator": "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1272.0441063660674
          },
          "falseMass": {
            "numerator": "1157211413992150234508878435830524406272828909531396261164663956681345",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 7.070414457722829e-82,
            "status": "finite",
            "log2": -269.5763089945019
          },
          "noiseInformation": 3.0049355947431313,
          "jointInformation": 4.004935594743131,
          "informationDensity": -1002.4677973715657,
          "difference": 2.53594000115385,
          "margin": -2.51594000115385,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "515377520732011331036461129765621272702107522001",
            "value": 5.927570063902974e+301,
            "status": "finite",
            "log2": 1002.4677973715657
          }
        },
        {
          "k": 451,
          "count": "256587896672317125168265728565526475891979802556850612231632806359500",
          "singleLikelihood": {
            "numerator": "57264168970223481226273458862846808078011946889",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1505.6377223730078
          },
          "trueMass": {
            "numerator": "29386585341515622309710930696548258890748816703896345025036262985420265490477872111488632221795895462934670881191",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1278.3871588009904
          },
          "falseMass": {
            "numerator": "64146974168079281292066432141381618972994950639212653057908201589875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.838596959781407e-83,
            "status": "finite",
            "log2": -272.7494364279826
          },
          "noiseInformation": 3.0112754447460155,
          "jointInformation": 4.0112754447460155,
          "informationDensity": -1005.6377223730077,
          "difference": 2.5422798511567346,
          "margin": -2.5222798511567346,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "57264168970223481226273458862846808078011946889",
            "value": 5.334813057512677e+302,
            "status": "finite",
            "log2": 1005.6377223730078
          }
        },
        {
          "k": 452,
          "count": "27815944550760042330188098893165480793599580365676283184402671485875",
          "singleLikelihood": {
            "numerator": "6362685441135942358474828762538534230890216321",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1508.8076473744502
          },
          "trueMass": {
            "numerator": "1415872843396524575394135303963485433280916439027454185080409917684948878105620190229049143429694078351817967727",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1284.7625529207328
          },
          "falseMass": {
            "numerator": "27815944550760042330188098893165480793599580365676283184402671485875",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.497594049320553e-84,
            "status": "finite",
            "log2": -275.95490554628253
          },
          "noiseInformation": 3.0176152947489006,
          "jointInformation": 4.0176152947489,
          "informationDensity": -1008.8076473744503,
          "difference": 2.548619701159619,
          "margin": -2.528619701159619,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6362685441135942358474828762538534230890216321",
            "value": 4.801331751761409e+303,
            "status": "finite",
            "log2": 1008.8076473744502
          }
        },
        {
          "k": 453,
          "count": "2947384853060666736973573392653295978129756859939208814241342674000",
          "singleLikelihood": {
            "numerator": "706965049015104706497203195837614914543357369",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1511.9775723758926
          },
          "trueMass": {
            "numerator": "1041849038555205721408488082386670664665869344391062682178373743697534126641368793398858825187412861186032353",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1291.1708826615002
          },
          "falseMass": {
            "numerator": "184211553316291671060848337040830998633109803746200550890083917125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.004073164842969e-85,
            "status": "finite",
            "log2": -279.1933102856076
          },
          "noiseInformation": 3.023955144751785,
          "jointInformation": 4.023955144751785,
          "informationDensity": -1011.9775723758926,
          "difference": 2.554959551162504,
          "margin": -2.534959551162504,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "706965049015104706497203195837614914543357369",
            "value": 4.321198576585268e+304,
            "status": "finite",
            "log2": 1011.9775723758926
          }
        },
        {
          "k": 454,
          "count": "305125744700113076294621034041200244431935181535556859624103757000",
          "singleLikelihood": {
            "numerator": "78551672112789411833022577315290546060373041",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1515.1474973773347
          },
          "trueMass": {
            "numerator": "23968137450853974011844806594309114654574576204787051425542616717466521758269375080639434549098582709615037",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1297.6127672985558
          },
          "falseMass": {
            "numerator": "38140718087514134536827629255150030553991897691944607453012969625",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 9.321397329242722e-86,
            "status": "finite",
            "log2": -282.46526992122085
          },
          "noiseInformation": 3.0302949947546693,
          "jointInformation": 4.030294994754669,
          "informationDensity": -1015.1474973773347,
          "difference": 2.5612994011653885,
          "margin": -2.5412994011653884,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "78551672112789411833022577315290546060373041",
            "value": 3.889078718926741e+305,
            "status": "finite",
            "log2": 1015.1474973773347
          }
        },
        {
          "k": 455,
          "count": "30847877486165278042972675969000464272239600770627726467491808400",
          "singleLikelihood": {
            "numerator": "8727963568087712425891397479476727340041449",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1518.317422378777
          },
          "trueMass": {
            "numerator": "673097877130209282383920087508070374914792738351773116956630261906874237411716272105869346311681809915929",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1304.088853079027
          },
          "falseMass": {
            "numerator": "1927992342885329877685792248062529017014975048164232904218238025",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 9.423830266926706e-87,
            "status": "finite",
            "log2": -285.77143070024994
          },
          "noiseInformation": 3.0366348447575544,
          "jointInformation": 4.036634844757554,
          "informationDensity": -1018.3174223787772,
          "difference": 2.567639251168273,
          "margin": -2.547639251168273,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8727963568087712425891397479476727340041449",
            "value": 3.500170847034067e+306,
            "status": "finite",
            "log2": 1018.3174223787771
          }
        },
        {
          "k": 456,
          "count": "3044198436134731385819671970625045816339434286575104585607744250",
          "singleLikelihood": {
            "numerator": "969773729787523602876821942164080815560161",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1521.4873473802195
          },
          "trueMass": {
            "numerator": "11808734686494899690945966447510006577452504181610054683449653717664460305468706528173146426520733507297",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1310.5998149983043
          },
          "falseMass": {
            "numerator": "1522099218067365692909835985312522908169717143287552292803872125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 9.299832500256619e-88,
            "status": "finite",
            "log2": -289.112467618085
          },
          "noiseInformation": 3.042974694760439,
          "jointInformation": 4.042974694760439,
          "informationDensity": -1021.4873473802195,
          "difference": 2.5739791011711577,
          "margin": -2.5539791011711577,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "969773729787523602876821942164080815560161",
            "value": 3.1501537623306604e+307,
            "status": "finite",
            "log2": 1021.4873473802195
          }
        },
        {
          "k": 457,
          "count": "293095691881680921173009992795409225205547283608981623121971000",
          "singleLikelihood": {
            "numerator": "107752636643058178097424660240453423951129",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1524.6572723816616
          },
          "trueMass": {
            "numerator": "31581833588972500996937911724437168089466945294848189039131094309338454500402570340360955675110155259",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1317.1463587361675
          },
          "falseMass": {
            "numerator": "36636961485210115146626249099426153150693410451122702890246375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 8.953886871144229e-89,
            "status": "finite",
            "log2": -292.48908635450573
          },
          "noiseInformation": 3.049314544763323,
          "jointInformation": 4.049314544763323,
          "informationDensity": -1024.6572723816616,
          "difference": 2.580318951174042,
          "margin": -2.560318951174042,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "107752636643058178097424660240453423951129",
            "value": null,
            "status": "overflow",
            "log2": 1024.6572723816616
          }
        },
        {
          "k": 458,
          "count": "27517717796751702206199628144547154331525181648878187323678500",
          "singleLikelihood": {
            "numerator": "11972515182562019788602740026717047105681",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1527.827197383104
          },
          "trueMass": {
            "numerator": "658912588222133693774056382411838053297951794118618208967800609074019186568321457853236823886335117",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1323.7292227710047
          },
          "falseMass": {
            "numerator": "6879429449187925551549907036136788582881295412219546830919625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 8.4064876737817e-90,
            "status": "finite",
            "log2": -295.9020253879006
          },
          "noiseInformation": 3.0556543947662083,
          "jointInformation": 4.055654394766208,
          "informationDensity": -1027.827197383104,
          "difference": 2.5866588011769265,
          "margin": -2.5666588011769265,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "11972515182562019788602740026717047105681",
            "value": null,
            "status": "overflow",
            "log2": 1027.827197383104
          }
        },
        {
          "k": 459,
          "count": "2517961105585123077691469241984706932296421850224147859683000",
          "singleLikelihood": {
            "numerator": "1330279464729113309844748891857449678409",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1530.9971223845464
          },
          "trueMass": {
            "numerator": "3349591951746503889918950382630985020396269105904377242392595688829436678270334208404254006684347",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1330.349180693082
          },
          "falseMass": {
            "numerator": "314745138198140384711433655248088366537052731278018482460375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 7.69221094332966e-91,
            "status": "finite",
            "log2": -299.3520583085357
          },
          "noiseInformation": 3.061994244769093,
          "jointInformation": 4.061994244769092,
          "informationDensity": -1030.9971223845464,
          "difference": 2.592998651179811,
          "margin": -2.572998651179811,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1330279464729113309844748891857449678409",
            "value": null,
            "status": "overflow",
            "log2": 1030.9971223845464
          }
        },
        {
          "k": 460,
          "count": "224426968106500100402935302002984748313376730128674048363050",
          "singleLikelihood": {
            "numerator": "147808829414345923316083210206383297601",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1534.1670473859888
          },
          "trueMass": {
            "numerator": "663445748896650528921144761777151622397328663488306603565683204067666201976249770746736300840861",
            "denominator": "2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1337.0070437408506
          },
          "falseMass": {
            "numerator": "112213484053250050201467651001492374156688365064337024181525",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 6.856101058185131e-92,
            "status": "finite",
            "log2": -302.8399963548619
          },
          "noiseInformation": 3.0683340947719775,
          "jointInformation": 4.068334094771977,
          "informationDensity": -1034.1670473859888,
          "difference": 2.5993385011826957,
          "margin": -2.5793385011826957,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "147808829414345923316083210206383297601",
            "value": null,
            "status": "overflow",
            "log2": 1034.1670473859888
          }
        },
        {
          "k": 461,
          "count": "19473055800997839514354473058827310048883013460188637602000",
          "singleLikelihood": {
            "numerator": "16423203268260658146231467800709255289",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1537.336972387431
          },
          "trueMass": {
            "numerator": "159904976836984943099817971023656693756888084716391083047887009898208291630814598878461388489",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1343.7036635878349
          },
          "falseMass": {
            "numerator": "1217065987562364969647154566176706878055188341261789850125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.948894627492522e-93,
            "status": "finite",
            "log2": -306.3666912004039
          },
          "noiseInformation": 3.0746739447748617,
          "jointInformation": 4.074673944774862,
          "informationDensity": -1037.336972387431,
          "difference": 2.6056783511855803,
          "margin": -2.5856783511855803,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16423203268260658146231467800709255289",
            "value": null,
            "status": "overflow",
            "log2": 1037.336972387431
          }
        },
        {
          "k": 462,
          "count": "1643829385798518920042910063407500198931682954431508369000",
          "singleLikelihood": {
            "numerator": "1824800363140073127359051977856583921",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1540.5068973888733
          },
          "trueMass": {
            "numerator": "2999660460145460693070178388611164529349992931187711514606827025507514850217301277662334849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1350.4399354118311
          },
          "falseMass": {
            "numerator": "205478673224814865005363757925937524866460369303938546125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.021794166065116e-94,
            "status": "finite",
            "log2": -309.9330380229577
          },
          "noiseInformation": 3.0810137947777467,
          "jointInformation": 4.081013794777746,
          "informationDensity": -1040.5068973888733,
          "difference": 2.612018201188465,
          "margin": -2.592018201188465,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1824800363140073127359051977856583921",
            "value": null,
            "status": "overflow",
            "log2": 1040.5068973888733
          }
        },
        {
          "k": 463,
          "count": "134914722808517751536999098076641485009511775957661594000",
          "singleLikelihood": {
            "numerator": "202755595904452569706561330872953769",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1543.6768223903157
          },
          "trueMass": {
            "numerator": "13677357509662527758179359103338643162382977128045720848939216099026345609342146454423893",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1357.21680128309
          },
          "falseMass": {
            "numerator": "8432170175532359471062443629790092813094485997353849625",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.1215589267921035e-95,
            "status": "finite",
            "log2": -313.5399788927744
          },
          "noiseInformation": 3.0873536447806313,
          "jointInformation": 4.087353644780631,
          "informationDensity": -1043.6768223903157,
          "difference": 2.6183580511913496,
          "margin": -2.5983580511913495,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "202755595904452569706561330872953769",
            "value": null,
            "status": "overflow",
            "log2": 1043.6768223903157
          }
        },
        {
          "k": 464,
          "count": "10758286086024044842390014286283911520155033858692842625",
          "singleLikelihood": {
            "numerator": "22528399544939174411840147874772641",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1546.8467473917578
          },
          "trueMass": {
            "numerator": "1938935738917676348860675428442642900414445033477745867474141745838983860328197006948981",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1364.0352539140308
          },
          "falseMass": {
            "numerator": "10758286086024044842390014286283911520155033858692842625",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.2865879373126687e-96,
            "status": "finite",
            "log2": -317.188506522273
          },
          "noiseInformation": 3.0936934947835155,
          "jointInformation": 4.0936934947835155,
          "informationDensity": -1046.8467473917578,
          "difference": 2.624697901194234,
          "margin": -2.604697901194234,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "22528399544939174411840147874772641",
            "value": null,
            "status": "overflow",
            "log2": 1046.8467473917578
          }
        },
        {
          "k": 465,
          "count": "832899567950248632959226912486496375753938105189123300",
          "singleLikelihood": {
            "numerator": "2503155504993241601315571986085849",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1550.0166723932002
          },
          "trueMass": {
            "numerator": "20848771386211573643663176649920891402305860575029525456711201568161116777722548461817",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1370.8963408200264
          },
          "falseMass": {
            "numerator": "208224891987562158239806728121624093938484526297280825",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 2.5444551772743243e-97,
            "status": "finite",
            "log2": -320.8796684268261
          },
          "noiseInformation": 3.1000333447864006,
          "jointInformation": 4.1000333447864,
          "informationDensity": -1050.0166723932002,
          "difference": 2.631037751197119,
          "margin": -2.611037751197119,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2503155504993241601315571986085849",
            "value": null,
            "status": "overflow",
            "log2": 1050.0166723932002
          }
        },
        {
          "k": 466,
          "count": "62556834502701077582774553512934277148900930647251750",
          "singleLikelihood": {
            "numerator": "278128389443693511257285776231761",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1553.1865973946426
          },
          "trueMass": {
            "numerator": "69595326515727713641221858154242365196061527909016060179770343813604109415382851327",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1377.801168949178
          },
          "falseMass": {
            "numerator": "31278417251350538791387276756467138574450465323625875",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.9110714850772822e-98,
            "status": "finite",
            "log2": -324.6145715545354
          },
          "noiseInformation": 3.106373194789285,
          "jointInformation": 4.106373194789285,
          "informationDensity": -1053.1865973946426,
          "difference": 2.6373776012000034,
          "margin": -2.6173776012000034,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "278128389443693511257285776231761",
            "value": null,
            "status": "overflow",
            "log2": 1053.1865973946426
          }
        },
        {
          "k": 467,
          "count": "4554459043023204791893650576958812469084864329778500",
          "singleLikelihood": {
            "numerator": "30903154382632612361920641803529",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1556.3565223960848
          },
          "trueMass": {
            "numerator": "281494301871846569569538802907951512808243153569658106841802485089524116122176653",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1384.7509098490796
          },
          "falseMass": {
            "numerator": "1138614760755801197973412644239703117271216082444625",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.3913582546601198e-99,
            "status": "finite",
            "log2": -328.3943874529947
          },
          "noiseInformation": 3.1127130447921694,
          "jointInformation": 4.112713044792169,
          "informationDensity": -1056.3565223960848,
          "difference": 2.643717451202888,
          "margin": -2.623717451202888,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "30903154382632612361920641803529",
            "value": null,
            "status": "overflow",
            "log2": 1056.3565223960848
          }
        },
        {
          "k": 468,
          "count": "321147753033687517377116386836839340768804536074125",
          "singleLikelihood": {
            "numerator": "3433683820292512484657849089281",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1559.5264473975271
          },
          "trueMass": {
            "numerator": "8821758748120547764287540831873124333021865211584726995042243122463718738871633",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1391.746805450747
          },
          "falseMass": {
            "numerator": "321147753033687517377116386836839340768804536074125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 9.810859487988024e-101,
            "status": "finite",
            "log2": -332.2203580532197
          },
          "noiseInformation": 3.1190528947950544,
          "jointInformation": 4.119052894795054,
          "informationDensity": -1059.5264473975271,
          "difference": 2.6500573012057727,
          "margin": -2.6300573012057726,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3433683820292512484657849089281",
            "value": null,
            "status": "overflow",
            "log2": 1059.5264473975271
          }
        },
        {
          "k": 469,
          "count": "21912000206989340204835233217012492333905639988000",
          "singleLikelihood": {
            "numerator": "381520424476945831628649898809",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1562.6963723989695
          },
          "trueMass": {
            "numerator": "2089968905027374499949666153014244096901650133045422173665539711552645993573",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1398.7901745647046
          },
          "falseMass": {
            "numerator": "684750006468416881401101038031640385434551249625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 6.69397662293426e-102,
            "status": "finite",
            "log2": -336.09380216573504
          },
          "noiseInformation": 3.125392744797939,
          "jointInformation": 4.125392744797939,
          "informationDensity": -1062.6963723989695,
          "difference": 2.6563971512086573,
          "margin": -2.6363971512086573,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "381520424476945831628649898809",
            "value": null,
            "status": "overflow",
            "log2": 1062.6963723989695
          }
        },
        {
          "k": 470,
          "count": "1445259588120573502872111127079547366704414552400",
          "singleLikelihood": {
            "numerator": "42391158275216203514294433201",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1565.866297400412
          },
          "trueMass": {
            "numerator": "153165569871982528365105557313100631215014548757465927620878796827735285581",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1405.882420202325
          },
          "falseMass": {
            "numerator": "90328724257535843929506945442471710419025909525",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.415176070446001e-103,
            "status": "finite",
            "log2": -340.0161228019132
          },
          "noiseInformation": 3.1317325948008237,
          "jointInformation": 4.131732594800823,
          "informationDensity": -1065.866297400412,
          "difference": 2.662737001211542,
          "margin": -2.642737001211542,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "42391158275216203514294433201",
            "value": null,
            "status": "overflow",
            "log2": 1065.866297400412
          }
        },
        {
          "k": 471,
          "count": "92054750835705318654274594081499832274166532000",
          "singleLikelihood": {
            "numerator": "4710128697246244834921603689",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1569.036222401854
          },
          "trueMass": {
            "numerator": "108397430907277090138078950681599880548488711081009149059362205822884137",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1413.0250378577716
          },
          "falseMass": {
            "numerator": "2876710963615791207946081065046869758567704125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 2.812214057608918e-104,
            "status": "finite",
            "log2": -343.98881545591746
          },
          "noiseInformation": 3.1380724448037083,
          "jointInformation": 4.138072444803708,
          "informationDensity": -1069.036222401854,
          "difference": 2.669076851214427,
          "margin": -2.649076851214427,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4710128697246244834921603689",
            "value": null,
            "status": "overflow",
            "log2": 1069.036222401854
          }
        },
        {
          "k": 472,
          "count": "5655906301346301357995684805854862576167011500",
          "singleLikelihood": {
            "numerator": "523347633027360537213511521",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1572.2061474032964
          },
          "trueMass": {
            "numerator": "5920010350868240327691694105021462402836483279377147500417144950778983",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1420.2196249134481
          },
          "falseMass": {
            "numerator": "1413976575336575339498921201463715644041752875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.7278433828529369e-105,
            "status": "finite",
            "log2": -348.0134775101517
          },
          "noiseInformation": 3.144412294806593,
          "jointInformation": 4.1444122948065925,
          "informationDensity": -1072.2061474032964,
          "difference": 2.6754167012173116,
          "margin": -2.6554167012173115,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "523347633027360537213511521",
            "value": null,
            "status": "overflow",
            "log2": 1072.2061474032964
          }
        },
        {
          "k": 473,
          "count": "334810521009929044447947514934325903028914000",
          "singleLikelihood": {
            "numerator": "58149737003040059690390169",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1575.3760724047388
          },
          "trueMass": {
            "numerator": "9734571871289096146075137123596485041074790452346730679567774173233",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1427.4678913661724
          },
          "falseMass": {
            "numerator": "20925657563120565277996719683395368939307125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 1.0228248355154805e-106,
            "status": "finite",
            "log2": -352.0918189614335
          },
          "noiseInformation": 3.1507521448094775,
          "jointInformation": 4.150752144809477,
          "informationDensity": -1075.3760724047388,
          "difference": 2.681756551220196,
          "margin": -2.661756551220196,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "58149737003040059690390169",
            "value": null,
            "status": "overflow",
            "log2": 1075.3760724047388
          }
        },
        {
          "k": 474,
          "count": "19071485373983300000199541989929956501647000",
          "singleLikelihood": {
            "numerator": "6461081889226673298932241",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1578.545997406181
          },
          "trueMass": {
            "numerator": "123222428750494887925001735741727658747782157624642160500857900927",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1434.7716721143493
          },
          "falseMass": {
            "numerator": "2383935671747912500024942748741244562705875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 5.826217417493244e-108,
            "status": "finite",
            "log2": -356.2256747081683
          },
          "noiseInformation": 3.157091994812362,
          "jointInformation": 4.157091994812362,
          "informationDensity": -1078.545997406181,
          "difference": 2.688096401223081,
          "margin": -2.668096401223081,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6461081889226673298932241",
            "value": null,
            "status": "overflow",
            "log2": 1078.545997406181
          }
        },
        {
          "k": 475,
          "count": "1043912883628559578958290719448797619037520",
          "singleLikelihood": {
            "numerator": "717897987691852588770249",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1581.7159224076233
          },
          "trueMass": {
            "numerator": "9367786981031775105409488682119646571468819000703789979597384281",
            "denominator": "1250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1442.132941100869
          },
          "falseMass": {
            "numerator": "65244555226784973684893169965549851189845",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 3.1890874285226175e-109,
            "status": "finite",
            "log2": -360.4170186932455
          },
          "noiseInformation": 3.1634318448152468,
          "jointInformation": 4.163431844815246,
          "informationDensity": -1081.7159224076233,
          "difference": 2.6944362512259654,
          "margin": -2.6744362512259654,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "717897987691852588770249",
            "value": null,
            "status": "overflow",
            "log2": 1081.7159224076233
          }
        },
        {
          "k": 476,
          "count": "54827357333432750995708546189537690075500",
          "singleLikelihood": {
            "numerator": "79766443076872509863361",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1584.8858474090657
          },
          "trueMass": {
            "numerator": "8746766555585224188057412401605645724994228758827068141547511",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1449.5538276758443
          },
          "falseMass": {
            "numerator": "13706839333358187748927136547384422518875",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.674940876324904e-110,
            "status": "finite",
            "log2": -364.6679802667787
          },
          "noiseInformation": 3.1697716948181314,
          "jointInformation": 4.169771694818131,
          "informationDensity": -1084.8858474090657,
          "difference": 2.70077610122885,
          "margin": -2.68077610122885,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "79766443076872509863361",
            "value": null,
            "status": "overflow",
            "log2": 1084.8858474090657
          }
        },
        {
          "k": 477,
          "count": "2758609174009195018652002324001896356000",
          "singleLikelihood": {
            "numerator": "8862938119652501095929",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1588.055772410508
          },
          "trueMass": {
            "numerator": "6112345601387298524149135151366628738640271669341067883681",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1457.036635632571
          },
          "falseMass": {
            "numerator": "86206536687787344332875072625059261125",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 8.427375478364298e-112,
            "status": "finite",
            "log2": -368.9808632220631
          },
          "noiseInformation": 3.176111544821016,
          "jointInformation": 4.1761115448210155,
          "informationDensity": -1088.055772410508,
          "difference": 2.7071159512317347,
          "margin": -2.6871159512317346,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "8862938119652501095929",
            "value": null,
            "status": "overflow",
            "log2": 1088.055772410508
          }
        },
        {
          "k": 478,
          "count": "132736424690819007173631910987538946000",
          "singleLikelihood": {
            "numerator": "984770902183611232881",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1591.2256974119503
          },
          "trueMass": {
            "numerator": "65357484347702401699409627373980688511727684051531641713",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1464.5838654859372
          },
          "falseMass": {
            "numerator": "8296026543176187948351994436721184125",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.055013305489097e-113,
            "status": "finite",
            "log2": -373.3581680739868
          },
          "noiseInformation": 3.1824513948239006,
          "jointInformation": 4.1824513948239,
          "informationDensity": -1091.2256974119503,
          "difference": 2.7134558012346193,
          "margin": -2.6934558012346193,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "984770902183611232881",
            "value": null,
            "status": "overflow",
            "log2": 1091.2256974119503
          }
        },
        {
          "k": 479,
          "count": "6096453743628430392108354993164628000",
          "singleLikelihood": {
            "numerator": "109418989131512359209",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1594.3956224133926
          },
          "trueMass": {
            "numerator": "166766951478711764948621178639245551758061824302214813",
            "denominator": "25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1472.1982407144783
          },
          "falseMass": {
            "numerator": "190514179488388449753386093536394625",
            "denominator": "102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168",
            "value": 1.8624278229803788e-114,
            "status": "finite",
            "log2": -377.8026183010857
          },
          "noiseInformation": 3.188791244826785,
          "jointInformation": 4.188791244826785,
          "informationDensity": -1094.3956224133926,
          "difference": 2.719795651237504,
          "margin": -2.699795651237504,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "109418989131512359209",
            "value": null,
            "status": "overflow",
            "log2": 1094.3956224133926
          }
        },
        {
          "k": 480,
          "count": "266719851283743829654740530950952475",
          "singleLikelihood": {
            "numerator": "12157665459056928801",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1597.565547414835
          },
          "trueMass": {
            "numerator": "129707628927886928293372027830524318034048085568389299",
            "denominator": "4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1479.8827388887503
          },
          "falseMass": {
            "numerator": "266719851283743829654740530950952475",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 8.148121725539156e-116,
            "status": "finite",
            "log2": -382.31719147391544
          },
          "noiseInformation": 3.19513109482967,
          "jointInformation": 4.195131094829669,
          "informationDensity": -1097.565547414835,
          "difference": 2.7261355012403885,
          "margin": -2.7061355012403885,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "12157665459056928801",
            "value": null,
            "status": "overflow",
            "log2": 1097.565547414835
          }
        },
        {
          "k": 481,
          "count": "11090222506600575037619148896089500",
          "singleLikelihood": {
            "numerator": "1350851717672992089",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1600.7354724162772
          },
          "trueMass": {
            "numerator": "29962492244834125269894208323059440525305633071931",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1487.6406288790754
          },
          "falseMass": {
            "numerator": "2772555626650143759404787224022375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 3.3879924014715824e-117,
            "status": "finite",
            "log2": -386.9051564627981
          },
          "noiseInformation": 3.2014709448325545,
          "jointInformation": 4.201470944832554,
          "informationDensity": -1100.7354724162772,
          "difference": 2.732475351243273,
          "margin": -2.712475351243273,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1350851717672992089",
            "value": null,
            "status": "overflow",
            "log2": 1100.7354724162772
          }
        },
        {
          "k": 482,
          "count": "437166447355624327209053587190250",
          "singleLikelihood": {
            "numerator": "150094635296999121",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1603.9053974177195
          },
          "trueMass": {
            "numerator": "262465353919708796739506665808266191784604439081",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1495.4755157033042
          },
          "falseMass": {
            "numerator": "218583223677812163604526793595125",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.3355156769286322e-118,
            "status": "finite",
            "log2": -391.5701182855845
          },
          "noiseInformation": 3.207810794835439,
          "jointInformation": 4.207810794835439,
          "informationDensity": -1103.9053974177195,
          "difference": 2.7388152012461577,
          "margin": -2.7188152012461577,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "150094635296999121",
            "value": null,
            "status": "overflow",
            "log2": 1103.9053974177195
          }
        },
        {
          "k": 483,
          "count": "16291917292756186107169698901500",
          "singleLikelihood": {
            "numerator": "16677181699666569",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1607.075322419162
          },
          "trueMass": {
            "numerator": "543406529854469558466887506849412405351147907",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1503.3913950821398
          },
          "falseMass": {
            "numerator": "4072979323189046526792424725375",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 4.97707705687689e-120,
            "status": "finite",
            "log2": -396.316072662978
          },
          "noiseInformation": 3.2141506448383237,
          "jointInformation": 4.214150644838323,
          "informationDensity": -1107.075322419162,
          "difference": 2.7451550512490424,
          "margin": -2.7251550512490423,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "16677181699666569",
            "value": null,
            "status": "overflow",
            "log2": 1107.075322419162
          }
        },
        {
          "k": 484,
          "count": "572236764414990007896456366375",
          "singleLikelihood": {
            "numerator": "1853020188851841",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1610.245247420604
          },
          "trueMass": {
            "numerator": "8482930218113849856691540510964197328713971",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1511.3927204796064
          },
          "falseMass": {
            "numerator": "572236764414990007896456366375",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 1.7481469001427094e-121,
            "status": "finite",
            "log2": -401.1474730590022
          },
          "noiseInformation": 3.2204904948412083,
          "jointInformation": 4.220490494841208,
          "informationDensity": -1110.245247420604,
          "difference": 2.751494901251927,
          "margin": -2.731494901251927,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1853020188851841",
            "value": null,
            "status": "overflow",
            "log2": 1110.245247420604
          }
        },
        {
          "k": 485,
          "count": "18877913877607917786274849200",
          "singleLikelihood": {
            "numerator": "205891132094649",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1613.4151724220465
          },
          "trueMass": {
            "numerator": "9716987649614948289451936438676056504827",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1519.4844864181232
          },
          "falseMass": {
            "numerator": "1179869617350494861642178075",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.767082557171825e-123,
            "status": "finite",
            "log2": -406.06931399607674
          },
          "noiseInformation": 3.226830344844093,
          "jointInformation": 4.2268303448440925,
          "informationDensity": -1113.4151724220465,
          "difference": 2.7578347512548116,
          "margin": -2.7378347512548116,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "205891132094649",
            "value": null,
            "status": "overflow",
            "log2": 1113.4151724220465
          }
        },
        {
          "k": 486,
          "count": "582651662889133265008483000",
          "singleLikelihood": {
            "numerator": "22876792454961",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1616.5850974234888
          },
          "trueMass": {
            "numerator": "13329201165452603963582903208060434163",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1527.6723333275627
          },
          "falseMass": {
            "numerator": "72831457861141658126060375",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.7799637522135262e-124,
            "status": "finite",
            "log2": -411.08723590407396
          },
          "noiseInformation": 3.2331701948469775,
          "jointInformation": 4.233170194846977,
          "informationDensity": -1116.5850974234888,
          "difference": 2.764174601257696,
          "margin": -2.744174601257696,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "22876792454961",
            "value": null,
            "status": "overflow",
            "log2": 1116.5850974234888
          }
        },
        {
          "k": 487,
          "count": "16749739795580833080326000",
          "singleLikelihood": {
            "numerator": "2541865828329",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1619.7550224249312
          },
          "trueMass": {
            "numerator": "21287795609894644705699366291677627",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1535.9626813690297
          },
          "falseMass": {
            "numerator": "1046858737223802067520375",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 5.116938918067632e-126,
            "status": "finite",
            "log2": -416.20765894409874
          },
          "noiseInformation": 3.2395100448498626,
          "jointInformation": 4.239510044849863,
          "informationDensity": -1119.7550224249312,
          "difference": 2.770514451260581,
          "margin": -2.750514451260581,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "2541865828329",
            "value": null,
            "status": "overflow",
            "log2": 1119.7550224249312
          }
        },
        {
          "k": 488,
          "count": "446202084718341864844750",
          "singleLikelihood": {
            "numerator": "282429536481",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1622.9249474263734
          },
          "trueMass": {
            "numerator": "504082591855428745307999566105299",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1544.362903989894
          },
          "falseMass": {
            "numerator": "223101042359170932422375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 1.3631189740753938e-127,
            "status": "finite",
            "log2": -421.4379565635205
          },
          "noiseInformation": 3.2458498948527468,
          "jointInformation": 4.245849894852746,
          "informationDensity": -1122.9249474263734,
          "difference": 2.7768543012634654,
          "margin": -2.7568543012634654,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "282429536481",
            "value": null,
            "status": "overflow",
            "log2": 1122.9249474263734
          }
        },
        {
          "k": 489,
          "count": "10949744410266058033000",
          "singleLikelihood": {
            "numerator": "31381059609",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1626.0948724278157
          },
          "trueMass": {
            "numerator": "343614582041873718683026289097",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1552.8815571455673
          },
          "falseMass": {
            "numerator": "1368718051283257254125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 3.345077236994831e-129,
            "status": "finite",
            "log2": -426.7866847177516
          },
          "noiseInformation": 3.2521897448556314,
          "jointInformation": 4.252189744855631,
          "informationDensity": -1126.0948724278157,
          "difference": 2.78319415126635,
          "margin": -2.76319415126635,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "31381059609",
            "value": null,
            "status": "overflow",
            "log2": 1126.0948724278157
          }
        },
        {
          "k": 490,
          "count": "245810588801891098700",
          "singleLikelihood": {
            "numerator": "3486784401",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1629.2647974292581
          },
          "trueMass": {
            "numerator": "8570885266350591622479113787",
            "denominator": "1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1561.5286884673749
          },
          "falseMass": {
            "numerator": "61452647200472774675",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 7.509357062641458e-131,
            "status": "finite",
            "log2": -432.26389103811687
          },
          "noiseInformation": 3.2585295948585165,
          "jointInformation": 4.2585295948585165,
          "informationDensity": -1129.2647974292581,
          "difference": 2.7895340012692347,
          "margin": -2.7695340012692347,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "3486784401",
            "value": null,
            "status": "overflow",
            "log2": 1129.2647974292581
          }
        },
        {
          "k": 491,
          "count": "5006325637513057000",
          "singleLikelihood": {
            "numerator": "387420489",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1632.4347224307003
          },
          "trueMass": {
            "numerator": "1939553126578545286824873",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1570.3162645882446
          },
          "falseMass": {
            "numerator": "625790704689132125",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 1.5294006237558976e-132,
            "status": "finite",
            "log2": -437.8815421575442
          },
          "noiseInformation": 3.2648694448614006,
          "jointInformation": 4.2648694448614,
          "informationDensity": -1132.4347224307003,
          "difference": 2.7958738512721193,
          "margin": -2.7758738512721193,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "387420489",
            "value": null,
            "status": "overflow",
            "log2": 1132.4347224307003
          }
        },
        {
          "k": 492,
          "count": "91579127515482750",
          "singleLikelihood": {
            "numerator": "43046721",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1635.6046474321427
          },
          "trueMass": {
            "numerator": "15768724606329636478251",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1579.2587790935838
          },
          "falseMass": {
            "numerator": "45789563757741375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 2.797684067846154e-134,
            "status": "finite",
            "log2": -443.6541316614411
          },
          "noiseInformation": 3.2712092948642852,
          "jointInformation": 4.271209294864285,
          "informationDensity": -1135.6046474321427,
          "difference": 2.802213701275004,
          "margin": -2.782213701275004,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "43046721",
            "value": null,
            "status": "overflow",
            "log2": 1135.6046474321427
          }
        },
        {
          "k": 493,
          "count": "1486071034734000",
          "singleLikelihood": {
            "numerator": "4782969",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1638.774572433585
          },
          "trueMass": {
            "numerator": "3553915845465322623",
            "denominator": "50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1588.374147931404
          },
          "falseMass": {
            "numerator": "92879439670875",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 4.539852442752381e-136,
            "status": "finite",
            "log2": -449.59957549781905
          },
          "noiseInformation": 3.27754914486717,
          "jointInformation": 4.277549144867169,
          "informationDensity": -1138.774572433585,
          "difference": 2.8085535512778885,
          "margin": -2.7885535512778885,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "4782969",
            "value": null,
            "status": "overflow",
            "log2": 1138.774572433585
          }
        },
        {
          "k": 494,
          "count": "21057686727000",
          "singleLikelihood": {
            "numerator": "531441",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1641.9444974350272
          },
          "trueMass": {
            "numerator": "11190918091883607",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1597.6850852423734
          },
          "falseMass": {
            "numerator": "2632210840875",
            "denominator": "409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672",
            "value": 6.432989291349527e-138,
            "status": "finite",
            "log2": -455.7405878073461
          },
          "noiseInformation": 3.2838889948700545,
          "jointInformation": 4.283888994870054,
          "informationDensity": -1141.9444974350272,
          "difference": 2.814893401280773,
          "margin": -2.794893401280773,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "531441",
            "value": null,
            "status": "overflow",
            "log2": 1141.9444974350272
          }
        },
        {
          "k": 495,
          "count": "255244687600",
          "singleLikelihood": {
            "numerator": "59049",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1645.1144224364696
          },
          "trueMass": {
            "numerator": "37679858895231",
            "denominator": "250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1607.2213324580616
          },
          "falseMass": {
            "numerator": "15952792975",
            "denominator": "204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336",
            "value": 7.797562777393366e-140,
            "status": "finite",
            "log2": -462.10691002159194
          },
          "noiseInformation": 3.290228844872939,
          "jointInformation": 4.290228844872939,
          "informationDensity": -1145.1144224364696,
          "difference": 2.8212332512836578,
          "margin": -2.8012332512836577,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "59049",
            "value": null,
            "status": "overflow",
            "log2": 1145.1144224364696
          }
        },
        {
          "k": 496,
          "count": "2573031125",
          "singleLikelihood": {
            "numerator": "6561",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1648.284347437912
          },
          "trueMass": {
            "numerator": "135053257689",
            "denominator": "800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1617.0235256750034
          },
          "falseMass": {
            "numerator": "2573031125",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 7.860446348178797e-142,
            "status": "finite",
            "log2": -468.73917823709144
          },
          "noiseInformation": 3.2965686948758237,
          "jointInformation": 4.296568694875823,
          "informationDensity": -1148.284347437912,
          "difference": 2.8275731012865424,
          "margin": -2.8075731012865424,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "6561",
            "value": null,
            "status": "overflow",
            "log2": 1148.284347437912
          }
        },
        {
          "k": 497,
          "count": "20708500",
          "singleLikelihood": {
            "numerator": "729",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1651.4542724393543
          },
          "trueMass": {
            "numerator": "30192993",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1627.150552718008
          },
          "falseMass": {
            "numerator": "5177125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 6.326314968353156e-144,
            "status": "finite",
            "log2": -475.6962802786537
          },
          "noiseInformation": 3.3029085448787088,
          "jointInformation": 4.302908544878709,
          "informationDensity": -1151.4542724393543,
          "difference": 2.833912951289427,
          "margin": -2.813912951289427,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "729",
            "value": null,
            "status": "overflow",
            "log2": 1151.4542724393543
          }
        },
        {
          "k": 498,
          "count": "124750",
          "singleLikelihood": {
            "numerator": "81",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1654.6241974407965
          },
          "trueMass": {
            "numerator": "40419",
            "denominator": "400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1637.6955171507973
          },
          "falseMass": {
            "numerator": "62375",
            "denominator": "1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688",
            "value": 3.811033113465757e-146,
            "status": "finite",
            "log2": -483.07131971000064
          },
          "noiseInformation": 3.309248394881593,
          "jointInformation": 4.3092483948815925,
          "informationDensity": -1154.6241974407965,
          "difference": 2.8402528012923116,
          "margin": -2.8202528012923116,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "81",
            "value": null,
            "status": "overflow",
            "log2": 1154.6241974407965
          }
        },
        {
          "k": 499,
          "count": "500",
          "singleLikelihood": {
            "numerator": "9",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1657.7941224422389
          },
          "trueMass": {
            "numerator": "9",
            "denominator": "200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1648.8283381575768
          },
          "falseMass": {
            "numerator": "125",
            "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
            "value": 1.5274681817498023e-148,
            "status": "finite",
            "log2": -491.0342157153379
          },
          "noiseInformation": 3.3155882448844776,
          "jointInformation": 4.315588244884477,
          "informationDensity": -1157.7941224422389,
          "difference": 2.8465926512951962,
          "margin": -2.826592651295196,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "9",
            "value": null,
            "status": "overflow",
            "log2": 1157.7941224422389
          }
        },
        {
          "k": 500,
          "count": "1",
          "singleLikelihood": {
            "numerator": "1",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1660.9640474436812
          },
          "trueMass": {
            "numerator": "1",
            "denominator": "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
            "value": null,
            "status": "underflow",
            "log2": -1660.9640474436812
          },
          "falseMass": {
            "numerator": "1",
            "denominator": "3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376",
            "value": 3.054936363499605e-151,
            "status": "finite",
            "log2": -500
          },
          "noiseInformation": 3.3219280948873626,
          "jointInformation": 4.321928094887363,
          "informationDensity": -1160.9640474436812,
          "difference": 2.852932501298081,
          "margin": -2.832932501298081,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
            "denominator": "1",
            "value": null,
            "status": "overflow",
            "log2": 1160.9640474436812
          }
        }
      ],
      "totalTrue": {
        "numerator": "1",
        "denominator": "1",
        "value": 1,
        "status": "finite",
        "log2": 0
      },
      "totalFalse": {
        "numerator": "1",
        "denominator": "1",
        "value": 1,
        "status": "finite",
        "log2": 0
      },
      "acceptedDistanceStrings": "1689847729550619192351175349158469620631980306373469515745784864633943940",
      "trueAccepted": {
        "numerator": "1990117210980578568122387715708916326561883302817492519619426546518803892320589395565058757337400232333468923744482691892054250639906161357910849291935666593851727229954878946702230559993239916926231327951193621065460178035360065794408692884550669612370111884328272856957784156375513254622695661195103655564454479722915245066557092661320623429912505317489590126723117009540683614044741478626786738594881319356560654648313005399527690951376090604992527142753741264732135914858723767444870437800573197",
        "denominator": "5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
        "value": 0.3980234421961157,
        "status": "finite",
        "log2": -1.329074691896949
      },
      "trueTail": {
        "numerator": "3009882789019421431877612284291083673438116697182507480380573453481196107679410604434941242662599767666531076255517308107945749360093838642089150708064333406148272770045121053297769440006760083073768672048806378934539821964639934205591307115449330387629888115671727143042215843624486745377304338804896344435545520277084754933442907338679376570087494682510409873276882990459316385955258521373213261405118680643439345351686994600472309048623909395007472857246258735267864085141276232555129562199426803",
        "denominator": "5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
        "value": 0.6019765578038843,
        "status": "finite",
        "log2": -0.7322207882987037
      },
      "falseAccepted": {
        "numerator": "422461932387654798087793837289617405157995076593367378936446216158485985",
        "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
        "value": 5.162377277781432e-79,
        "status": "finite",
        "log2": -260.0642839155193
      },
      "falseTerm": {
        "numerator": "678870151404891783261482844742563416281317002916933697038317769185548913589220565371860850352196472847125425914248636900681188729375",
        "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
        "value": 8.2956204464851445e-19,
        "status": "finite",
        "log2": -60.0642839155193
      },
      "rawUnion": {
        "numerator": "1504941394509710718012711253766827987631697099457623206241068040583505157510400191359399065954569889341827083667839229115968123683883462911048172325984998525895745168121933353454992281190494462387547762298690632137330949824534682633592498801735593853120202034818428660074949949840428976980490292110113968848529569453879353803688003759756124090994380409629723430009153025514253645791578128462641788403302799279155935371792629999874204224439249630014573667793207623179635925060398988254178779512799339",
        "denominator": "2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
        "value": 0.6019765578038843,
        "status": "finite",
        "log2": -0.7322207882987037
      },
      "cappedUnion": {
        "numerator": "1504941394509710718012711253766827987631697099457623206241068040583505157510400191359399065954569889341827083667839229115968123683883462911048172325984998525895745168121933353454992281190494462387547762298690632137330949824534682633592498801735593853120202034818428660074949949840428976980490292110113968848529569453879353803688003759756124090994380409629723430009153025514253645791578128462641788403302799279155935371792629999874204224439249630014573667793207623179635925060398988254178779512799339",
        "denominator": "2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
        "value": 0.6019765578038843,
        "status": "finite",
        "log2": -0.7322207882987037
      },
      "maximumProbabilityRatio": {
        "numerator": "30549363634996046820519793932136176997894027405723266638936139092812916265247204577018572351080152282568751526935904671553178534278042839697351331142009178896307244205337728522220355888195318837008165086679301794879136633899370525163649789227021200352450820912190874482021196014946372110934030798550767828365183620409339937395998276770114898681640625",
        "denominator": "3518857819391685536568581658558847034763600924758006307532700031249258570047552581154254913488813299574237669781418413668732998976664378267442181891786751296293298944439597777102525774994663546713916197106517825846605993433730874958889568126678307876978300448387565995395516086514800988428971258483053940367455670969605376884039350281172691300808205856082251154618862165667891858464726188522022600453229566238705396883468301369",
        "value": 8.681613524321707e-78,
        "status": "finite",
        "log2": -255.99242820103245
      },
      "exactPackingUpper": {
        "numerator": "2827788608015733227435289415461370030913025652740547046177586171394933065",
        "denominator": "818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344",
        "value": 3.455485698766877e-78,
        "status": "finite",
        "log2": -257.32150289292946
      },
      "generalExponentTerm": {
        "log2Value": -35.50220320535939,
        "value": 2.054811194298173e-11,
        "status": "finite"
      },
      "uniformBscExponentTerm": {
        "log2Value": -55.50220320535939,
        "value": 1.9596206610662204e-17,
        "status": "finite"
      },
      "generalExponentGap": 0.07100440641071876,
      "uniformBscExponentGap": 0.11100440641071875
    }
  },
  "exercise": {
    "parameters": {
      "mode": "packing",
      "p": "0.1",
      "codebook": "000,111",
      "decoder": "ml",
      "tie": "uniform",
      "inspect": 0,
      "n": 3,
      "bits": 1,
      "epsilon": "0.5",
      "inputProbability": "0.5"
    },
    "result": {
      "n": 3,
      "p": {
        "numerator": "1",
        "denominator": "10",
        "value": 0.1,
        "status": "finite",
        "log2": -3.321928094887362
      },
      "epsilon": 0.5,
      "M": "2",
      "bits": 1,
      "rate": 0.3333333333333333,
      "entropy": 0.4689955935892812,
      "capacity": 0.5310044064107188,
      "rows": [
        {
          "k": 0,
          "count": "1",
          "singleLikelihood": {
            "numerator": "729",
            "denominator": "1000",
            "value": 0.729,
            "status": "finite",
            "log2": -0.45600928033515
          },
          "trueMass": {
            "numerator": "729",
            "denominator": "1000",
            "value": 0.729,
            "status": "finite",
            "log2": -0.45600928033515
          },
          "falseMass": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          },
          "noiseInformation": 0.15200309344505,
          "jointInformation": 1.15200309344505,
          "informationDensity": 2.54399071966485,
          "difference": -0.31699250014423125,
          "margin": 0.18300749985576875,
          "nearBoundary": false,
          "accepted": true,
          "independentToJointRatio": {
            "numerator": "125",
            "denominator": "729",
            "value": 0.17146776406035666,
            "status": "finite",
            "log2": -2.54399071966485
          }
        },
        {
          "k": 1,
          "count": "3",
          "singleLikelihood": {
            "numerator": "81",
            "denominator": "1000",
            "value": 0.081,
            "status": "finite",
            "log2": -3.6259342817774622
          },
          "trueMass": {
            "numerator": "243",
            "denominator": "1000",
            "value": 0.243,
            "status": "finite",
            "log2": -2.040971781056306
          },
          "falseMass": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          },
          "noiseInformation": 1.2086447605924875,
          "jointInformation": 2.2086447605924873,
          "informationDensity": -0.6259342817774625,
          "difference": 0.7396491670032062,
          "margin": -0.23964916700320615,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "125",
            "denominator": "81",
            "value": 1.5432098765432098,
            "status": "finite",
            "log2": 0.6259342817774622
          }
        },
        {
          "k": 2,
          "count": "3",
          "singleLikelihood": {
            "numerator": "9",
            "denominator": "1000",
            "value": 0.009,
            "status": "finite",
            "log2": -6.795859283219775
          },
          "trueMass": {
            "numerator": "27",
            "denominator": "1000",
            "value": 0.027,
            "status": "finite",
            "log2": -5.210896782498619
          },
          "falseMass": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          },
          "noiseInformation": 2.265286427739925,
          "jointInformation": 3.265286427739925,
          "informationDensity": -3.795859283219775,
          "difference": 1.7962908341506436,
          "margin": -1.2962908341506436,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "125",
            "denominator": "9",
            "value": 13.88888888888889,
            "status": "finite",
            "log2": 3.795859283219775
          }
        },
        {
          "k": 3,
          "count": "1",
          "singleLikelihood": {
            "numerator": "1",
            "denominator": "1000",
            "value": 0.001,
            "status": "finite",
            "log2": -9.965784284662087
          },
          "trueMass": {
            "numerator": "1",
            "denominator": "1000",
            "value": 0.001,
            "status": "finite",
            "log2": -9.965784284662087
          },
          "falseMass": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          },
          "noiseInformation": 3.321928094887362,
          "jointInformation": 4.321928094887362,
          "informationDensity": -6.965784284662087,
          "difference": 2.852932501298081,
          "margin": -2.352932501298081,
          "nearBoundary": false,
          "accepted": false,
          "independentToJointRatio": {
            "numerator": "125",
            "denominator": "1",
            "value": 125,
            "status": "finite",
            "log2": 6.965784284662087
          }
        }
      ],
      "totalTrue": {
        "numerator": "1",
        "denominator": "1",
        "value": 1,
        "status": "finite",
        "log2": 0
      },
      "totalFalse": {
        "numerator": "1",
        "denominator": "1",
        "value": 1,
        "status": "finite",
        "log2": 0
      },
      "acceptedDistanceStrings": "1",
      "trueAccepted": {
        "numerator": "729",
        "denominator": "1000",
        "value": 0.729,
        "status": "finite",
        "log2": -0.45600928033515
      },
      "trueTail": {
        "numerator": "271",
        "denominator": "1000",
        "value": 0.271,
        "status": "finite",
        "log2": -1.8836352433082153
      },
      "falseAccepted": {
        "numerator": "1",
        "denominator": "8",
        "value": 0.125,
        "status": "finite",
        "log2": -3
      },
      "falseTerm": {
        "numerator": "1",
        "denominator": "8",
        "value": 0.125,
        "status": "finite",
        "log2": -3
      },
      "rawUnion": {
        "numerator": "99",
        "denominator": "250",
        "value": 0.396,
        "status": "finite",
        "log2": -1.3364276645824773
      },
      "cappedUnion": {
        "numerator": "99",
        "denominator": "250",
        "value": 0.396,
        "status": "finite",
        "log2": -1.3364276645824773
      },
      "maximumProbabilityRatio": {
        "numerator": "125",
        "denominator": "729",
        "value": 0.17146776406035666,
        "status": "finite",
        "log2": -2.54399071966485
      },
      "exactPackingUpper": {
        "numerator": "1",
        "denominator": "8",
        "value": 0.125,
        "status": "finite",
        "log2": -3
      },
      "generalExponentTerm": {
        "log2Value": 2.9069867807678436,
        "value": 7.500500045208923,
        "status": "finite"
      },
      "uniformBscExponentTerm": {
        "log2Value": -0.09301321923215633,
        "value": 0.9375625056511155,
        "status": "finite"
      },
      "generalExponentGap": -1.3023289269226146,
      "uniformBscExponentGap": -0.30232892692261454
    }
  },
  "ensemble": {
    "parameters": {
      "mode": "ensemble",
      "p": "0.1",
      "codebook": "000,111",
      "decoder": "ml",
      "tie": "uniform",
      "inspect": 0,
      "n": 3,
      "bits": 40,
      "epsilon": "0.05",
      "inputProbability": "0.5"
    },
    "result": {
      "n": 3,
      "p": {
        "numerator": "1",
        "denominator": "10",
        "value": 0.1,
        "status": "finite",
        "log2": -3.321928094887362
      },
      "inputProbability": {
        "numerator": "1",
        "denominator": "2",
        "value": 0.5,
        "status": "finite",
        "log2": -1
      },
      "M": 2,
      "rate": 0.3333333333333333,
      "capacity": 0.5310044064107188,
      "rows": [
        {
          "index": 0,
          "first": "000",
          "second": "000",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 1,
          "first": "000",
          "second": "001",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 2,
          "first": "000",
          "second": "010",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 3,
          "first": "000",
          "second": "011",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 4,
          "first": "000",
          "second": "100",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 5,
          "first": "000",
          "second": "101",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 6,
          "first": "000",
          "second": "110",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 7,
          "first": "000",
          "second": "111",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 8,
          "first": "001",
          "second": "000",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 9,
          "first": "001",
          "second": "001",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 10,
          "first": "001",
          "second": "010",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 11,
          "first": "001",
          "second": "011",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 12,
          "first": "001",
          "second": "100",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 13,
          "first": "001",
          "second": "101",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 14,
          "first": "001",
          "second": "110",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 15,
          "first": "001",
          "second": "111",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 16,
          "first": "010",
          "second": "000",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 17,
          "first": "010",
          "second": "001",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 18,
          "first": "010",
          "second": "010",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 19,
          "first": "010",
          "second": "011",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 20,
          "first": "010",
          "second": "100",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 21,
          "first": "010",
          "second": "101",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 22,
          "first": "010",
          "second": "110",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 23,
          "first": "010",
          "second": "111",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 24,
          "first": "011",
          "second": "000",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 25,
          "first": "011",
          "second": "001",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 26,
          "first": "011",
          "second": "010",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 27,
          "first": "011",
          "second": "011",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 28,
          "first": "011",
          "second": "100",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 29,
          "first": "011",
          "second": "101",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 30,
          "first": "011",
          "second": "110",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 31,
          "first": "011",
          "second": "111",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 32,
          "first": "100",
          "second": "000",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 33,
          "first": "100",
          "second": "001",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 34,
          "first": "100",
          "second": "010",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 35,
          "first": "100",
          "second": "011",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 36,
          "first": "100",
          "second": "100",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 37,
          "first": "100",
          "second": "101",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 38,
          "first": "100",
          "second": "110",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 39,
          "first": "100",
          "second": "111",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 40,
          "first": "101",
          "second": "000",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 41,
          "first": "101",
          "second": "001",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 42,
          "first": "101",
          "second": "010",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 43,
          "first": "101",
          "second": "011",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 44,
          "first": "101",
          "second": "100",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 45,
          "first": "101",
          "second": "101",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 46,
          "first": "101",
          "second": "110",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 47,
          "first": "101",
          "second": "111",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 48,
          "first": "110",
          "second": "000",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 49,
          "first": "110",
          "second": "001",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 50,
          "first": "110",
          "second": "010",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 51,
          "first": "110",
          "second": "011",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 52,
          "first": "110",
          "second": "100",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 53,
          "first": "110",
          "second": "101",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 54,
          "first": "110",
          "second": "110",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 55,
          "first": "110",
          "second": "111",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 56,
          "first": "111",
          "second": "000",
          "distance": 3,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "16000",
            "value": 0.0004375,
            "status": "finite",
            "log2": -11.158429362604483
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            }
          ]
        },
        {
          "index": 57,
          "first": "111",
          "second": "001",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 58,
          "first": "111",
          "second": "010",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 59,
          "first": "111",
          "second": "011",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 60,
          "first": "111",
          "second": "100",
          "distance": 2,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            }
          ]
        },
        {
          "index": 61,
          "first": "111",
          "second": "101",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 62,
          "first": "111",
          "second": "110",
          "distance": 1,
          "collision": false,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "640",
            "value": 0.0015625,
            "status": "finite",
            "log2": -9.321928094887362
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            }
          ]
        },
        {
          "index": 63,
          "first": "111",
          "second": "111",
          "distance": 0,
          "collision": true,
          "probability": {
            "numerator": "1",
            "denominator": "64",
            "value": 0.015625,
            "status": "finite",
            "log2": -6
          },
          "error": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "128",
            "value": 0.0078125,
            "status": "finite",
            "log2": -7
          },
          "outputs": [
            {
              "word": "000",
              "likelihood0": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "likelihood1": {
                "numerator": "1",
                "denominator": "1000",
                "value": 0.001,
                "status": "finite",
                "log2": -9.965784284662087
              },
              "jointError": {
                "numerator": "1",
                "denominator": "2000",
                "value": 0.0005,
                "status": "finite",
                "log2": -10.965784284662087
              }
            },
            {
              "word": "001",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "010",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "011",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "100",
              "likelihood0": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "likelihood1": {
                "numerator": "9",
                "denominator": "1000",
                "value": 0.009,
                "status": "finite",
                "log2": -6.795859283219775
              },
              "jointError": {
                "numerator": "9",
                "denominator": "2000",
                "value": 0.0045,
                "status": "finite",
                "log2": -7.795859283219775
              }
            },
            {
              "word": "101",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "110",
              "likelihood0": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "likelihood1": {
                "numerator": "81",
                "denominator": "1000",
                "value": 0.081,
                "status": "finite",
                "log2": -3.6259342817774622
              },
              "jointError": {
                "numerator": "81",
                "denominator": "2000",
                "value": 0.0405,
                "status": "finite",
                "log2": -4.625934281777463
              }
            },
            {
              "word": "111",
              "likelihood0": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "likelihood1": {
                "numerator": "729",
                "denominator": "1000",
                "value": 0.729,
                "status": "finite",
                "log2": -0.45600928033515
              },
              "jointError": {
                "numerator": "729",
                "denominator": "2000",
                "value": 0.3645,
                "status": "finite",
                "log2": -1.45600928033515
              }
            }
          ]
        }
      ],
      "byDistance": [
        {
          "distance": 0,
          "codebookCount": 8,
          "probability": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          },
          "weightedError": {
            "numerator": "1",
            "denominator": "16",
            "value": 0.0625,
            "status": "finite",
            "log2": -4
          },
          "referenceError": {
            "numerator": "1",
            "denominator": "2",
            "value": 0.5,
            "status": "finite",
            "log2": -1
          },
          "binomialProbability": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          }
        },
        {
          "distance": 1,
          "codebookCount": 24,
          "probability": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          },
          "weightedError": {
            "numerator": "3",
            "denominator": "80",
            "value": 0.0375,
            "status": "finite",
            "log2": -4.7369655941662066
          },
          "referenceError": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "binomialProbability": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          }
        },
        {
          "distance": 2,
          "codebookCount": 24,
          "probability": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          },
          "weightedError": {
            "numerator": "3",
            "denominator": "80",
            "value": 0.0375,
            "status": "finite",
            "log2": -4.7369655941662066
          },
          "referenceError": {
            "numerator": "1",
            "denominator": "10",
            "value": 0.1,
            "status": "finite",
            "log2": -3.321928094887362
          },
          "binomialProbability": {
            "numerator": "3",
            "denominator": "8",
            "value": 0.375,
            "status": "finite",
            "log2": -1.415037499278844
          }
        },
        {
          "distance": 3,
          "codebookCount": 8,
          "probability": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          },
          "weightedError": {
            "numerator": "7",
            "denominator": "2000",
            "value": 0.0035,
            "status": "finite",
            "log2": -8.158429362604483
          },
          "referenceError": {
            "numerator": "7",
            "denominator": "250",
            "value": 0.028,
            "status": "finite",
            "log2": -5.158429362604483
          },
          "binomialProbability": {
            "numerator": "1",
            "denominator": "8",
            "value": 0.125,
            "status": "finite",
            "log2": -3
          }
        }
      ],
      "total": {
        "numerator": "1",
        "denominator": "1",
        "value": 1,
        "status": "finite",
        "log2": 0
      },
      "averageError": {
        "numerator": "141",
        "denominator": "1000",
        "value": 0.141,
        "status": "finite",
        "log2": -2.8262329322632938
      },
      "distanceAverage": {
        "numerator": "141",
        "denominator": "1000",
        "value": 0.141,
        "status": "finite",
        "log2": -2.8262329322632938
      },
      "collisionProbability": {
        "numerator": "1",
        "denominator": "8",
        "value": 0.125,
        "status": "finite",
        "log2": -3
      },
      "collisionFormula": {
        "numerator": "1",
        "denominator": "8",
        "value": 0.125,
        "status": "finite",
        "log2": -3
      },
      "bestSupportedError": {
        "numerator": "7",
        "denominator": "250",
        "value": 0.028,
        "status": "finite",
        "log2": -5.158429362604483
      },
      "worstSupportedError": {
        "numerator": "1",
        "denominator": "2",
        "value": 0.5,
        "status": "finite",
        "log2": -1
      },
      "supportCount": 64
    }
  }
}
