{
  "seed": 7,
  "ell": 2,
  "dimension": 2,
  "threshold_r": 0.7071067811865475,
  "contraction": {
    "observed_log_slope": -0.2231435513142087,
    "predicted_log_slope": -0.2231435513142097,
    "observed_ratio_n30": 0.0012379400392854149,
    "predicted_ratio_n30": 0.0012379400392853823
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  "sweep": [
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      "r": 0.55,
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      "g": -0.5025268209512955,
      "predicted_dimension": 2.159425026694333,
      "box_dimension": 1.534505200322887,
      "correlation_dimension": 2.4340495485942877,
      "boxes": [
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      "r": 0.65,
      "ell_det": 0.8450000000000001,
      "g": -0.16841865162496317,
      "predicted_dimension": 2.6090405507426917,
      "box_dimension": 1.5432495866148117,
      "correlation_dimension": 2.4835570657562323,
      "boxes": [
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    },
    {
      "r": 0.7,
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      "g": -0.020202707317519608,
      "predicted_dimension": 2.9433582098747317,
      "box_dimension": 1.562703735059463,
      "correlation_dimension": 2.5318648358582614,
      "boxes": [
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    },
    {
      "r": 0.7071067811865475,
      "ell_det": 0.9999999999999998,
      "g": -2.220446049250313e-16,
      "predicted_dimension": 2.999999999999999,
      "box_dimension": 1.567461156237267,
      "correlation_dimension": 2.5263220077054758,
      "boxes": [
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    },
    {
      "r": 0.75,
      "ell_det": 1.125,
      "g": 0.11778303565638348,
      "predicted_dimension": 3.0,
      "box_dimension": 1.5913098807768284,
      "correlation_dimension": 2.557771614084822,
      "boxes": [
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    },
    {
      "r": 0.85,
      "ell_det": 1.4449999999999998,
      "g": 0.3681093215643954,
      "predicted_dimension": 3.0,
      "box_dimension": 1.708556519589037,
      "correlation_dimension": 2.529461527629673,
      "boxes": [
        388,
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    },
    {
      "r": 0.95,
      "ell_det": 1.805,
      "g": 0.5905605917848441,
      "predicted_dimension": 3.0,
      "box_dimension": 1.7745885108114106,
      "correlation_dimension": 2.3684401231295875,
      "boxes": [
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    }
  ],
  "notes": "Volume exponent is exact for A=rI: log(ell)+log|det(A)|=log(ell*r^2)."
}