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      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 414,
          "denominator": 1
        },
        {
          "numerator": -414,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 36,
          "denominator": 1
        },
        {
          "numerator": -36,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 3,
      "Terah60": 0,
      "H": 3210,
      "p": 3624,
      "q": 2760,
      "input": 3210,
      "intermediate": {
        "numerator": 3174,
        "denominator": 1
      },
      "output": {
        "numerator": 3210,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          401,
          513
        ],
        "intermediate": [],
        "output": [
          401,
          513
        ],
        "first_pivot": [
          380
        ],
        "second_pivot": [
          385,
          505
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 414,
          "denominator": 1
        },
        {
          "numerator": -414,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 36,
          "denominator": 1
        },
        {
          "numerator": -36,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 1,
      "Terah60": 1,
      "H": 3266,
      "p": 3680,
      "q": 2816,
      "input": 2737,
      "intermediate": {
        "numerator": 2655,
        "denominator": 1
      },
      "output": {
        "numerator": 2641,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          333
        ],
        "intermediate": [],
        "output": [],
        "first_pivot": [
          190
        ],
        "second_pivot": [
          195,
          443
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 1,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 943,
          "denominator": 1
        },
        {
          "numerator": 161,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 82,
          "denominator": 1
        },
        {
          "numerator": 14,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 1,
      "Terah60": 1,
      "H": 3266,
      "p": 3680,
      "q": 2816,
      "input": 3266,
      "intermediate": {
        "numerator": 3230,
        "denominator": 1
      },
      "output": {
        "numerator": 3266,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          211,
          451
        ],
        "intermediate": [],
        "output": [
          211,
          451
        ],
        "first_pivot": [
          190
        ],
        "second_pivot": [
          195,
          443
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 414,
          "denominator": 1
        },
        {
          "numerator": -414,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 36,
          "denominator": 1
        },
        {
          "numerator": -36,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 2,
      "Terah60": 1,
      "H": 3268,
      "p": 3682,
      "q": 2818,
      "input": 2739,
      "intermediate": {
        "numerator": 2657,
        "denominator": 1
      },
      "output": {
        "numerator": 2643,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          429
        ],
        "intermediate": [],
        "output": [],
        "first_pivot": [
          286
        ],
        "second_pivot": [
          291,
          475
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 1,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 943,
          "denominator": 1
        },
        {
          "numerator": 161,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 82,
          "denominator": 1
        },
        {
          "numerator": 14,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 2,
      "Terah60": 1,
      "H": 3268,
      "p": 3682,
      "q": 2818,
      "input": 3268,
      "intermediate": {
        "numerator": 3232,
        "denominator": 1
      },
      "output": {
        "numerator": 3268,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          307,
          483
        ],
        "intermediate": [],
        "output": [
          307,
          483
        ],
        "first_pivot": [
          286
        ],
        "second_pivot": [
          291,
          475
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 414,
          "denominator": 1
        },
        {
          "numerator": -414,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 36,
          "denominator": 1
        },
        {
          "numerator": -36,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    },
    {
      "gear": 3,
      "Terah60": 1,
      "H": 3270,
      "p": 3684,
      "q": 2820,
      "input": 3270,
      "intermediate": {
        "numerator": 3234,
        "denominator": 1
      },
      "output": {
        "numerator": 3270,
        "denominator": 1
      },
      "record_indices": {
        "input": [
          403,
          515
        ],
        "intermediate": [],
        "output": [
          403,
          515
        ],
        "first_pivot": [
          382
        ],
        "second_pivot": [
          387,
          507
        ]
      },
      "integer_output": true,
      "complete": false,
      "effective_gap_K": {
        "numerator": 0,
        "denominator": 1
      },
      "signed_pivot_gaps": [
        {
          "numerator": 414,
          "denominator": 1
        },
        {
          "numerator": -414,
          "denominator": 1
        }
      ],
      "coordinate_changes": [
        {
          "numerator": 36,
          "denominator": 1
        },
        {
          "numerator": -36,
          "denominator": 1
        }
      ],
      "labelled_assignments": 0
    }
  ],
  "counts": {
    "trials": 2238,
    "sourced_first_leg_outputs": 23,
    "integer_composed_outputs": 10,
    "sourced_composed_outputs": 8,
    "complete_coordinate_paths": 2
  },
  "interpretation": "One prior forward2K path and one additional mixed-direction zero-net coordinate loop; no single chronological traversal or global action is inferred."
}