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{
  "poisson_integral_checks": 24,
  "max_integral_relative_error": 7.7733332580952e-16,
  "generator_checks": 24,
  "max_generator_residual": 2.9103830456733704e-11,
  "coupled_paths": 10000,
  "real_dimension": 4,
  "steps": 400,
  "adapted_unitary_resets_per_path": 80,
  "max_coupled_radius_difference": 1.1102230246251565e-14,
  "mean_final_coordinate_difference": 1.4775447540126077,
  "sampled_grid_exit_fraction": 0.0037,
  "sampled_grid_exits": 37,
  "continuous_exit_upper_bound": 0.030198482266093618,
  "mc_caveat": "Grid exit count is a lower-resolution event, not continuum validation.",
  "no_update_count_factor": true,
  "certificate_table": [
    {
      "n": 1,
      "beta": 8.0,
      "T": 1.0,
      "upper_bound": 0.00456909710656891
    },
    {
      "n": 1,
      "beta": 12.0,
      "T": 1.0,
      "upper_bound": 0.00013372138795079907
    },
    {
      "n": 1,
      "beta": 16.0,
      "T": 1.0,
      "upper_bound": 3.3581971515380318e-06
    },
    {
      "n": 1,
      "beta": 20.0,
      "T": 1.0,
      "upper_bound": 7.807727193976173e-08
    },
    {
      "n": 2,
      "beta": 8.0,
      "T": 1.0,
      "upper_bound": 0.030198482266093618
    },
    {
      "n": 2,
      "beta": 12.0,
      "T": 1.0,
      "upper_bound": 0.0014340468319227772
    },
    {
      "n": 2,
      "beta": 16.0,
      "T": 1.0,
      "upper_bound": 4.977996777016512e-05
    },
    {
      "n": 2,
      "beta": 20.0,
      "T": 1.0,
      "upper_bound": 1.4734154914387331e-06
    },
    {
      "n": 4,
      "beta": 8.0,
      "T": 1.0,
      "upper_bound": 0.2187998797786516
    },
    {
      "n": 4,
      "beta": 12.0,
      "T": 1.0,
      "upper_bound": 0.025953339145747503
    },
    {
      "n": 4,
      "beta": 16.0,
      "T": 1.0,
      "upper_bound": 0.0017738610897373571
    },
    {
      "n": 4,
      "beta": 20.0,
      "T": 1.0,
      "upper_bound": 8.625513873276449e-05
    }
  ]
}