{
  "protocol": "Polynomial-time spectral solvers on N x N relation fields; embedding dimensions are irrelevant by construction. The hidden shuffle is applied to the text field and used only to score the returned assignment.",
  "samples": 256,
  "spectra": {
    "visual": {
      "top_eigenvalues": [
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        101.78289257672924,
        76.83849964762389,
        73.51157103379062,
        63.181538121292824,
        57.712183627589305,
        38.44138843684303,
        34.64276988158139,
        30.13505757827937,
        26.087762377994547,
        17.31312246244292,
        15.36192641849806
      ],
      "effective_rank_participation": 39.72347153885601,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 1.2104876347522635e-05,
      "min_relative_gap_top20": 0.002824515898045198
    },
    "text": {
      "top_eigenvalues": [
        133.86809603238817,
        107.42968273502699,
        97.43054104356617,
        70.84732951921603,
        67.52559303099846,
        61.0931595120219,
        37.49807510761304,
        34.70420054832222,
        29.285623461524054,
        20.89123124423513,
        15.653633086855598,
        14.22029497566402
      ],
      "effective_rank_participation": 37.778592431757225,
      "rank_for_90_percent": 231,
      "rank_for_99_percent": 256,
      "median_relative_gap": 3.0622586593801674e-10,
      "min_relative_gap_top20": 0.0015880669322487523
    }
  },
  "solvers": {
    "umeyama": {
      "accuracy": 0.0234375,
      "chance": 0.00390625
    },
    "grampa_eta0.5": {
      "accuracy": 0.06640625,
      "chance": 0.00390625
    },
    "grampa_eta1.0": {
      "accuracy": 0.07421875,
      "chance": 0.00390625
    },
    "grampa_eta2.0": {
      "accuracy": 0.0703125,
      "chance": 0.00390625
    },
    "grampa_eta3.0": {
      "accuracy": 0.0546875,
      "chance": 0.00390625
    },
    "grampa_eta5.0": {
      "accuracy": 0.05859375,
      "chance": 0.00390625
    }
  },
  "field_correlation_at_truth": 0.8100426279666444
}