{
  "step": "C389",
  "rows": [
    {
      "cumulative_index": 3,
      "regular_input_Gear": 1,
      "existing_corner_sum": -2639,
      "source_native_Shem": -6345,
      "reflected_points": [
        {
          "regular_point": "Noah_center",
          "regular_coordinate": "3706",
          "reflected_coordinate": "-6345",
          "cumulative_record_indices": [
            29
          ],
          "source_member": true
        },
        {
          "regular_point": "next_Noah_center",
          "regular_coordinate": "3708",
          "reflected_coordinate": "-6347",
          "cumulative_record_indices": [
            27
          ],
          "source_member": true
        },
        {
          "regular_point": "J_Flood_pivot",
          "regular_coordinate": "2648",
          "reflected_coordinate": "-5287",
          "cumulative_record_indices": [
            4
          ],
          "source_member": true
        },
        {
          "regular_point": "MT_Noah_input",
          "regular_coordinate": "3246",
          "reflected_coordinate": "-5885",
          "cumulative_record_indices": [
            13
          ],
          "source_member": true
        },
        {
          "regular_point": "MT_Noah_output",
          "regular_coordinate": "3248",
          "reflected_coordinate": "-5887",
          "cumulative_record_indices": [
            11
          ],
          "source_member": true
        },
        {
          "regular_point": "Shem_input",
          "regular_coordinate": "3206",
          "reflected_coordinate": "-5845",
          "cumulative_record_indices": [],
          "source_member": false
        },
        {
          "regular_point": "Shem_output",
          "regular_coordinate": "3208",
          "reflected_coordinate": "-5847",
          "cumulative_record_indices": [],
          "source_member": false
        },
        {
          "regular_point": "J_Shem_death_pivot",
          "regular_coordinate": "2608",
          "reflected_coordinate": "-5247",
          "cumulative_record_indices": [],
          "source_member": false
        }
      ],
      "reflected_affine_coefficients": [
        "7500/6877",
        "3927681/6877"
      ],
      "algebraic_identity": true,
      "cumulative_source_square_complete": false,
      "new_side": 1100
    },
    {
      "cumulative_index": 5,
      "regular_input_Gear": 2,
      "existing_corner_sum": -2635,
      "source_native_Shem": -6343,
      "reflected_points": [
        {
          "regular_point": "Noah_center",
          "regular_coordinate": "3708",
          "reflected_coordinate": "-6343",
          "cumulative_record_indices": [
            31
          ],
          "source_member": true
        },
        {
          "regular_point": "next_Noah_center",
          "regular_coordinate": "3710",
          "reflected_coordinate": "-6345",
          "cumulative_record_indices": [
            29
          ],
          "source_member": true
        },
        {
          "regular_point": "J_Flood_pivot",
          "regular_coordinate": "2650",
          "reflected_coordinate": "-5285",
          "cumulative_record_indices": [
            6
          ],
          "source_member": true
        },
        {
          "regular_point": "MT_Noah_input",
          "regular_coordinate": "3248",
          "reflected_coordinate": "-5883",
          "cumulative_record_indices": [
            15
          ],
          "source_member": true
        },
        {
          "regular_point": "MT_Noah_output",
          "regular_coordinate": "3250",
          "reflected_coordinate": "-5885",
          "cumulative_record_indices": [
            13
          ],
          "source_member": true
        },
        {
          "regular_point": "Shem_input",
          "regular_coordinate": "3208",
          "reflected_coordinate": "-5843",
          "cumulative_record_indices": [],
          "source_member": false
        },
        {
          "regular_point": "Shem_output",
          "regular_coordinate": "3210",
          "reflected_coordinate": "-5845",
          "cumulative_record_indices": [],
          "source_member": false
        },
        {
          "regular_point": "J_Shem_death_pivot",
          "regular_coordinate": "2610",
          "reflected_coordinate": "-5245",
          "cumulative_record_indices": [],
          "source_member": false
        }
      ],
      "reflected_affine_coefficients": [
        "7500/6877",
        "3926435/6877"
      ],
      "algebraic_identity": true,
      "cumulative_source_square_complete": false,
      "new_side": 1100
    }
  ],
  "phase_tests": [
    {
      "state": 0,
      "regular_offset": "-1/4",
      "reflected_offset": "1/4",
      "new_images_source_members": false
    },
    {
      "state": 0,
      "regular_offset": "1/4",
      "reflected_offset": "-1/4",
      "new_images_source_members": false
    },
    {
      "state": 1,
      "regular_offset": "-1/4",
      "reflected_offset": "1/4",
      "new_images_source_members": false
    },
    {
      "state": 1,
      "regular_offset": "1/4",
      "reflected_offset": "-1/4",
      "new_images_source_members": false
    }
  ],
  "counts": {
    "original17K_exchanges": 2,
    "reflected_point_slots": 16,
    "admitted_reflected_point_slots": 10,
    "missing_reflected_point_slots": 6,
    "source_complete_cumulative_squares": 0
  },
  "interpretation": "Existing corner exchange conjugates the regular affine identity exactly and recovers the known cumulative J repair. The new Shem-input, Shem-output and Shem-death images are absent from the frozen cumulative menu in both cases. Opposite ancestry phases do not rescue membership. The required1100 side exceeds2K by42; no cumulative endpoint or axis is adopted."
}