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      "packet_state_coordinates": 1560,
      "jump_entries": 68,
      "calculus_entries": 1098
    },
    "literature_total_comparisons": 3506,
    "atlas_comparisons": {
      "quartic_values": 96,
      "hurwitz_values": 150,
      "stirling_entries": 578,
      "formal_values": 51,
      "formal_substitution_entries": 289
    },
    "atlas_total_comparisons": 1164,
    "edge_comparisons": {
      "partials": 46,
      "errors": 46,
      "row_weights": 132,
      "kernel_values": 10
    },
    "edge_total_comparisons": 234,
    "scope": "Exact numeric library outputs in the declared finite range. Not a proof of the complete Python implementation."
  },
  "polyphase_taps": {
    "signal_cases": 600,
    "impulse_cases": 468,
    "displayed_cli_matches": true,
    "missing_advance_control": {
      "incorrect": -181,
      "correct": 1191
    }
  },
  "scope": "Executed finite calculations, displayed-output correspondence and source identities. Written proof self-review is separate."
}