{
  "status": "all exact rational guards passed",
  "threshold": 10000,
  "coefficient": "8242/49923",
  "quadratic_constant": 500,
  "checks": {
    "dual_weights_admissible_at_threshold": true,
    "mu_lower_bound_positive": true,
    "g_below_m": true,
    "g_above_m_over_two": true,
    "entire_rank_band_below_g": true,
    "high_D_mass_defect_below_six": true,
    "high_D_product_error_below_one": true,
    "dual_objective_error_below_two": true,
    "small_D_band_error_below_402": true,
    "low_D_gain_stronger": true,
    "small_rho_gain_stronger": true,
    "large_rho_gain_stronger": true,
    "tail_gain_stronger": true,
    "small_n_covered_by_16": true,
    "coefficient_identity": true,
    "largest_SC_quadratic_allowance_below_500": true
  }
}