files / problems / simon-ionization-excess / compute / q14 / python-result.json

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{
  "status": "dent",
  "n": 37,
  "matrix_entries_checked": 1369,
  "beta_lower": "9087/10000",
  "compact_gamma_exact": "5799575951378799/6382236648346000",
  "compact_gamma_approx": 0.908705877097459,
  "min_pivot_approx": 0.00016704029759939977,
  "residual_lower": "1/100000",
  "residual_gt_1e-5": true,
  "leading_upper": "1.1005",
  "remainder_upper": "3.933",
  "hps_remainder_rational_upper": "37521634746040375337416621849296173101919/9541350000000000000000000000000000000000",
  "hps_remainder_approx": 3.932528913208338,
  "inequality": "N_c(Z) < 1.1005 Z + 3.933 Z^(1/3), Z >= 4"
}