{
  "step": "C375",
  "rows": [
    {
      "i": 2,
      "rail": "companion",
      "corner_sum_diagnostic": -2641,
      "paired_pivots": {
        "cumulative_OFF_to_MT": [
          -5288,
          2647
        ],
        "cumulative_ON_to_SP": [
          -5748,
          3107
        ]
      },
      "cumulative_input_output": [
        -5886,
        -5888
      ],
      "exchanged_input_output": [
        3245,
        3247
      ],
      "actual_MT_input_output": [
        3246,
        3248
      ],
      "actual_source_input_output_carried": false,
      "typed_MT_matches": [],
      "operator_coefficients": [
        {
          "operator": "J",
          "cumulative_pivot": -5288,
          "regular_pivot": 2647,
          "left_coefficients": [
            "-300/299",
            "-794947/299"
          ],
          "right_coefficients": [
            "-300/299",
            "-794947/299"
          ]
        },
        {
          "operator": "P",
          "cumulative_pivot": -5748,
          "regular_pivot": 3107,
          "left_coefficients": [
            "-70/69",
            "-62659/23"
          ],
          "right_coefficients": [
            "-70/69",
            "-62659/23"
          ]
        }
      ]
    },
    {
      "i": 3,
      "rail": "primary",
      "corner_sum_diagnostic": -2639,
      "paired_pivots": {
        "cumulative_OFF_to_MT": [
          -5287,
          2648
        ],
        "cumulative_ON_to_SP": [
          -5747,
          3108
        ]
      },
      "cumulative_input_output": [
        -5885,
        -5887
      ],
      "exchanged_input_output": [
        3246,
        3248
      ],
      "actual_MT_input_output": [
        3246,
        3248
      ],
      "actual_source_input_output_carried": true,
      "typed_MT_matches": [
        {
          "tradition": "MT",
          "gear": 1,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3246
        },
        {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        }
      ],
      "operator_coefficients": [
        {
          "operator": "J",
          "cumulative_pivot": -5287,
          "regular_pivot": 2648,
          "left_coefficients": [
            "-300/299",
            "-794348/299"
          ],
          "right_coefficients": [
            "-300/299",
            "-794348/299"
          ]
        },
        {
          "operator": "P",
          "cumulative_pivot": -5747,
          "regular_pivot": 3108,
          "left_coefficients": [
            "-70/69",
            "-187838/69"
          ],
          "right_coefficients": [
            "-70/69",
            "-187838/69"
          ]
        }
      ]
    },
    {
      "i": 4,
      "rail": "companion",
      "corner_sum_diagnostic": -2637,
      "paired_pivots": {
        "cumulative_OFF_to_MT": [
          -5286,
          2649
        ],
        "cumulative_ON_to_SP": [
          -5746,
          3109
        ]
      },
      "cumulative_input_output": [
        -5884,
        -5886
      ],
      "exchanged_input_output": [
        3247,
        3249
      ],
      "actual_MT_input_output": [
        3248,
        3250
      ],
      "actual_source_input_output_carried": false,
      "typed_MT_matches": [],
      "operator_coefficients": [
        {
          "operator": "J",
          "cumulative_pivot": -5286,
          "regular_pivot": 2649,
          "left_coefficients": [
            "-300/299",
            "-793749/299"
          ],
          "right_coefficients": [
            "-300/299",
            "-793749/299"
          ]
        },
        {
          "operator": "P",
          "cumulative_pivot": -5746,
          "regular_pivot": 3109,
          "left_coefficients": [
            "-70/69",
            "-187699/69"
          ],
          "right_coefficients": [
            "-70/69",
            "-187699/69"
          ]
        }
      ]
    },
    {
      "i": 5,
      "rail": "primary",
      "corner_sum_diagnostic": -2635,
      "paired_pivots": {
        "cumulative_OFF_to_MT": [
          -5285,
          2650
        ],
        "cumulative_ON_to_SP": [
          -5745,
          3110
        ]
      },
      "cumulative_input_output": [
        -5883,
        -5885
      ],
      "exchanged_input_output": [
        3248,
        3250
      ],
      "actual_MT_input_output": [
        3248,
        3250
      ],
      "actual_source_input_output_carried": true,
      "typed_MT_matches": [
        {
          "tradition": "MT",
          "gear": 2,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3248
        },
        {
          "tradition": "MT",
          "gear": 3,
          "role": "Noah birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 1,
          "center": 3250
        }
      ],
      "operator_coefficients": [
        {
          "operator": "J",
          "cumulative_pivot": -5285,
          "regular_pivot": 2650,
          "left_coefficients": [
            "-300/299",
            "-793150/299"
          ],
          "right_coefficients": [
            "-300/299",
            "-793150/299"
          ]
        },
        {
          "operator": "P",
          "cumulative_pivot": -5745,
          "regular_pivot": 3110,
          "left_coefficients": [
            "-70/69",
            "-62520/23"
          ],
          "right_coefficients": [
            "-70/69",
            "-62520/23"
          ]
        }
      ]
    }
  ],
  "phase_controls": [
    {
      "i": 2,
      "cumulative_offset": "-1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5283/2"
    },
    {
      "i": 2,
      "cumulative_offset": "-1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5283/2"
    },
    {
      "i": 2,
      "cumulative_offset": "1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5281/2"
    },
    {
      "i": 2,
      "cumulative_offset": "1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5281/2"
    },
    {
      "i": 3,
      "cumulative_offset": "-1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5279/2"
    },
    {
      "i": 3,
      "cumulative_offset": "-1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5279/2"
    },
    {
      "i": 3,
      "cumulative_offset": "1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5277/2"
    },
    {
      "i": 3,
      "cumulative_offset": "1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5277/2"
    },
    {
      "i": 4,
      "cumulative_offset": "-1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5275/2"
    },
    {
      "i": 4,
      "cumulative_offset": "-1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5275/2"
    },
    {
      "i": 4,
      "cumulative_offset": "1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5273/2"
    },
    {
      "i": 4,
      "cumulative_offset": "1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5273/2"
    },
    {
      "i": 5,
      "cumulative_offset": "-1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5271/2"
    },
    {
      "i": 5,
      "cumulative_offset": "-1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5271/2"
    },
    {
      "i": 5,
      "cumulative_offset": "1/4",
      "regular_offset": "-1/4",
      "center_exchange_exact": true,
      "same_inherited_offset": false,
      "same_offset_would_require_sum": "-5269/2"
    },
    {
      "i": 5,
      "cumulative_offset": "1/4",
      "regular_offset": "1/4",
      "center_exchange_exact": false,
      "same_inherited_offset": true,
      "same_offset_would_require_sum": "-5269/2"
    }
  ],
  "counts": {
    "paired_pivot_rows": 4,
    "conjugate_operator_pairs": 8,
    "source_supported_primary_rows": 2,
    "companion_typed_source_failures": 2,
    "opposite_phase_pairs": 8,
    "same_phase_pairs": 0
  },
  "identity": "For r_C(x)=C-x and F_a^lambda(x)=a+lambda(x-a), r_C o F_a^lambda = F_(C-a)^lambda o r_C. Existing source corners determine C; no new global axis is adopted.",
  "interpretation": "The two local fields are exact conjugate affine comparisons at their paired source Flood pivots. Only primary rows carry the actual MT Noah records. The correspondence reverses inherited phase, so it does not turn same-offset component comparisons into one global physical-time reflection."
}