Recorded data and provenance for the associated calculation.

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checks_completed84
chart_casimir_error1.7763568394002505e-15
four_to_six_embedding_error2.220446049250313e-16
interpretationChecks verify diagnostics; candidate acceptance is a separate field.
View complete data
{
  "checks_completed": 84,
  "chart_casimir_error": 1.7763568394002505e-15,
  "four_to_six_embedding_error": 2.220446049250313e-16,
  "reciprocal_mass_errors": {
    "canonical_velocity": 4.261702102326126e-10,
    "energy": 2.220446049250313e-10,
    "momentum": 2.220446049250313e-16,
    "rotation": 2.7755575615628914e-10
  },
  "recurrence_audits": [
    {
      "runs": [
        {
          "rtol": 3e-09,
          "atol": 3e-11,
          "substeps": 180,
          "residual": 4.2474781254890106e-07
        },
        {
          "rtol": 1e-12,
          "atol": 1e-14,
          "substeps": 1200,
          "residual": 2.4157216630271113e-06
        },
        {
          "rtol": 2.5e-14,
          "atol": 1e-15,
          "substeps": 2400,
          "residual": 2.4142280095680935e-06
        }
      ],
      "endpoint_refinement": 1.5010651670043138e-09,
      "coarse_endpoint_error": 2.0801515530242983e-06,
      "recurrence_tolerance": 1e-06,
      "numerically_accepted": false,
      "homotopy": 0.0064,
      "period": 20.67292124525589,
      "casimir_error": 8.881784197001252e-16
    },
    {
      "runs": [
        {
          "rtol": 3e-09,
          "atol": 3e-11,
          "substeps": 180,
          "residual": 2.486885421206788e-07
        },
        {
          "rtol": 1e-12,
          "atol": 1e-14,
          "substeps": 1200,
          "residual": 7.435726060211828e-06
        },
        {
          "rtol": 2.5e-14,
          "atol": 1e-15,
          "substeps": 2400,
          "residual": 7.438962667977733e-06
        }
      ],
      "endpoint_refinement": 3.2395665488287486e-09,
      "coarse_endpoint_error": 7.355575581441371e-06,
      "recurrence_tolerance": 1e-06,
      "numerically_accepted": false,
      "homotopy": 0.0096,
      "period": 20.567504684805566,
      "casimir_error": 4.440892098500626e-16
    },
    {
      "runs": [
        {
          "rtol": 3e-09,
          "atol": 3e-11,
          "substeps": 180,
          "residual": 5.239190756584686e-07
        },
        {
          "rtol": 1e-12,
          "atol": 1e-14,
          "substeps": 1200,
          "residual": 5.3145366520873105e-06
        },
        {
          "rtol": 2.5e-14,
          "atol": 1e-15,
          "substeps": 2400,
          "residual": 5.3144990771616465e-06
        }
      ],
      "endpoint_refinement": 9.891566664736461e-11,
      "coarse_endpoint_error": 4.842632116670392e-06,
      "recurrence_tolerance": 1e-06,
      "numerically_accepted": false,
      "homotopy": 0.0128,
      "period": 20.48965107367895,
      "casimir_error": 4.440892098500626e-16
    }
  ],
  "interpretation": "Checks verify diagnostics; candidate acceptance is a separate field."
}