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          "center": 3183
        },
        "higher_Shem": {
          "tradition": "LXX",
          "gear": 3,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3185
        },
        "held_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3208
        },
        "J_Shem_death": {
          "tradition": "LXX",
          "gear": 3,
          "role": "Shem death",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2585
        }
      },
      "coordinate_loop": [
        3208,
        3185,
        3183,
        2585
      ],
      "unique_P_pivot": 3045,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "MT",
        "rail": null,
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "MT",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 1,
      "records": {
        "lower_Shem": {
          "tradition": "MT",
          "gear": 1,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2531
        },
        "higher_Shem": {
          "tradition": "MT",
          "gear": 2,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2533
        },
        "held_Shem": {
          "tradition": "MT",
          "gear": 1,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2556
        },
        "J_Shem_death": {
          "tradition": "MT",
          "gear": 2,
          "role": "Shem death",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 1933
        }
      },
      "coordinate_loop": [
        2556,
        2533,
        2531,
        1933
      ],
      "unique_P_pivot": 2393,
      "P_pivot_records": [
        {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 0,
          "center": 2393
        },
        {
          "tradition": "LXX",
          "gear": 2,
          "role": "Shem death",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 0,
          "center": 2393
        }
      ]
    },
    {
      "moving_family": {
        "tradition": "MT",
        "rail": null,
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "MT",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 2,
      "records": {
        "lower_Shem": {
          "tradition": "MT",
          "gear": 2,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2533
        },
        "higher_Shem": {
          "tradition": "MT",
          "gear": 3,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2535
        },
        "held_Shem": {
          "tradition": "MT",
          "gear": 2,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 2558
        },
        "J_Shem_death": {
          "tradition": "MT",
          "gear": 3,
          "role": "Shem death",
          "rail": null,
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 1935
        }
      },
      "coordinate_loop": [
        2558,
        2535,
        2533,
        1935
      ],
      "unique_P_pivot": 2395,
      "P_pivot_records": [
        {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 0,
          "center": 2395
        },
        {
          "tradition": "LXX",
          "gear": 3,
          "role": "Shem death",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 0,
          "center": 2395
        }
      ]
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "companion",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "SP",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 1,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 1,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3180
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3182
        },
        "held_Shem": {
          "tradition": "SP",
          "gear": 1,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3205
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem death",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2582
        }
      },
      "coordinate_loop": [
        3205,
        3182,
        3180,
        2582
      ],
      "unique_P_pivot": 3042,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "companion",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "SP",
        "rail": "companion",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 2,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3182
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3184
        },
        "held_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "companion",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3207
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem death",
          "rail": "companion",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2584
        }
      },
      "coordinate_loop": [
        3207,
        3184,
        3182,
        2584
      ],
      "unique_P_pivot": 3044,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "LXX",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 1,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 1,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3181
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3183
        },
        "held_Shem": {
          "tradition": "LXX",
          "gear": 1,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3206
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2583
        }
      },
      "coordinate_loop": [
        3206,
        3183,
        3181,
        2583
      ],
      "unique_P_pivot": 3043,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "LXX",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 2,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3183
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3185
        },
        "held_Shem": {
          "tradition": "LXX",
          "gear": 2,
          "role": "Shem birth",
          "rail": null,
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3208
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2585
        }
      },
      "coordinate_loop": [
        3208,
        3185,
        3183,
        2585
      ],
      "unique_P_pivot": 3045,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 1,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 1,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3181
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3183
        },
        "held_Shem": {
          "tradition": "SP",
          "gear": 1,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3206
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2583
        }
      },
      "coordinate_loop": [
        3206,
        3183,
        3181,
        2583
      ],
      "unique_P_pivot": 3043,
      "P_pivot_records": []
    },
    {
      "moving_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 1,
        "Terah60": 1,
        "full430": 0
      },
      "held_family": {
        "tradition": "SP",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1
      },
      "lower_Gear": 2,
      "records": {
        "lower_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3183
        },
        "higher_Shem": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 3185
        },
        "held_Shem": {
          "tradition": "SP",
          "gear": 2,
          "role": "Shem birth",
          "rail": "primary",
          "Cainan": 0,
          "Terah60": 0,
          "full430": 1,
          "center": 3208
        },
        "J_Shem_death": {
          "tradition": "SP",
          "gear": 3,
          "role": "Shem death",
          "rail": "primary",
          "Cainan": 1,
          "Terah60": 1,
          "full430": 0,
          "center": 2585
        }
      },
      "coordinate_loop": [
        3208,
        3185,
        3183,
        2585
      ],
      "unique_P_pivot": 3045,
      "P_pivot_records": []
    }
  ],
  "coordinate_loops": [
    [
      2556,
      2533,
      2531,
      1933
    ],
    [
      2558,
      2535,
      2533,
      1935
    ],
    [
      3205,
      3182,
      3180,
      2582
    ],
    [
      3206,
      3183,
      3181,
      2583
    ],
    [
      3207,
      3184,
      3182,
      2584
    ],
    [
      3208,
      3185,
      3183,
      2585
    ]
  ],
  "counts": {
    "moving_families": 32,
    "held_families": 32,
    "adjacent_Gear_transitions": 2,
    "labelled_trials": 2048,
    "labelled_E_J_loops": 12,
    "coordinate_E_J_loops": 6,
    "complete_labelled_E_P_J_loops": 2,
    "loops_outside_C405_correspondence": 0
  },
  "source_equivalence": "Within this fixed Shem-birth/next-Shem-death grammar, the entire direct census equals the−500 image of the C396 Noah/Flood-boundary census. J follows from the source600 lifespan and Gear increment2; E requires held-minus-lower25=215−130−60.",
  "interpretation": "No500 or529 filter was used in enumeration. The match remains conditional on the declared roles, same-family adjacency and held-Shem same-lower-Gear requirement; it is not a census of every conceivable source graph."
}