{
  "exceeds_claim_threshold": true,
  "components_rows": 617591,
  "largest_input_period": 512,
  "negative_input_imaginary_parts": 0,
  "scope": "Exact arithmetic sanity checks and data inspection, not a computational reproduction.",
  "approximate_sum": "1.506510899669076675960576474930027729167714380880771594256595236061003",
  "exact_sum_numerator": "119358090388492183169197725348",
  "exact_sum_denominator": "79228162514264337593543950336"
}