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  "certified_cases": 27,
  "max_optimality_interval_width": 6.020182424824654e-10,
  "screening_candidate_count": 54,
  "candidate_scope": "Floating-point screening; only selected witnesses independently certified; no outer-optimum claim",
  "scope": "Finite selected rational witnesses; independent integer/Fraction verification; not formal-kernel verification or an outer minimax optimum"
}