{
  "exact_graph_cases": 604,
  "exact_graph_passed": 604,
  "exact_saturated_cases": 178,
  "exact_ODE_nullity_crosschecks": 604,
  "abstract_inequality_cases": 200,
  "abstract_inequality_passed": 200,
  "FEM_runs": 18,
  "failures": 0,
  "seed": 260925,
  "proof_role": "Regression and finite-instance certificates only; the general theorem is proved in the manuscript.",
  "theta_gap_bound": 0.2737964150527131,
  "theta_actual_excess_FEM": 5.99344283639317,
  "theta_exact_excess_decimal": 5.991986821852391
}