{
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      "effective_fixed_point": "76945/24"
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    {
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    {
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    {
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    {
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    {
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    {
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    {
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        "-1/4"
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      "candidate_source_coherent_phases": true
    },
    {
      "target_i": 5,
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        "1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": true
    },
    {
      "target_i": 5,
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      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": true
    },
    {
      "target_i": 5,
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      "offsets": [
        "-1/4",
        "-1/4",
        "1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": true
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "-1/4",
        "1/4",
        "-1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": false
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "-1/4",
        "1/4",
        "1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": false
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "1/4",
        "-1/4",
        "-1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": false
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "1/4",
        "-1/4",
        "1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": false
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "1/4",
        "1/4",
        "-1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": true
    },
    {
      "target_i": 5,
      "candidate_path": 2,
      "offsets": [
        "1/4",
        "1/4",
        "1/4"
      ],
      "same_whole_affine_map": false,
      "candidate_source_coherent_phases": true
    }
  ],
  "closest_comparison": {
    "target_i": 3,
    "target_pivot": 3206,
    "target_input": 2148,
    "target_output": 1956,
    "candidate_path": 1,
    "candidate_effective_fixed_point": "76945/24",
    "constant_output_error": "-4/529",
    "candidate_output_at_target_input": "1034720/529",
    "same_whole_affine_map": false
  },
  "counts": {
    "candidate_two_E_paths": 3,
    "target_squared_E_ladders": 2,
    "whole_map_comparisons": 6,
    "exact_whole_map_matches": 0,
    "phase_comparisons": 48,
    "phase_exact_matches": 0
  },
  "all_finite_word_proof": "Any positive E/P/J word with slope625/529 must havep=0 by prime7,j=0 by prime13, ande=2 by prime5. Thus these three admitted EE paths exhaust possible slope-compatible replacements within the C406 coordinate graph; longer circuits cannot repair the map.",
  "prior_art": "C361/C363 already established the−500 translated squared-E endpoints and the absent2056/2058 intermediate. They are retained dependencies, not a new discovery or rerun of the historical batch.",
  "interpretation": "Even after relaxing the target endpoint labels and independently assigning existing pivot phases, the whole affine maps differ. The closest4/529 discrepancy does not authorize a new phase or anchor."
}