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      "source_locator": {
        "source": "File18",
        "line": 1249,
        "literal": "| Reu | 2112 | 1873 | 239 | 32 |"
      }
    },
    "MT:Serug": {
      "b": 30,
      "r": 200,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1250,
        "literal": "| Serug | 2080 | 1850 | 230 | 30 |"
      }
    },
    "MT:Nahor": {
      "b": 29,
      "r": 119,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1251,
        "literal": "| Nahor | 2050 | 1902 | 148 | 29 |"
      }
    },
    "MT:Terah": {
      "b": 70,
      "r": 135,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1252,
        "literal": "| Terah | 2021 | 1816 | 205 | 70/130 |"
      }
    },
    "SP:Adam": {
      "b": 130,
      "r": 800,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1447,
        "literal": "| Adam / preferred chain head | 4199 | 3269 | 930 | 130 |"
      }
    },
    "SP:Seth": {
      "b": 105,
      "r": 807,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1448,
        "literal": "| Seth | 4069 | 3157 | 912 | 105 |"
      }
    },
    "SP:Enosh": {
      "b": 90,
      "r": 815,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1449,
        "literal": "| Enosh | 3964 | 3059 | 905 | 90 |"
      }
    },
    "SP:Kenan": {
      "b": 70,
      "r": 840,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1450,
        "literal": "| Kenan | 3874 | 2964 | 910 | 70 |"
      }
    },
    "SP:Mahalalel": {
      "b": 65,
      "r": 830,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1451,
        "literal": "| Mahalalel | 3804 | 2909 | 895 | 65 |"
      }
    },
    "SP:Enoch": {
      "b": 65,
      "r": 300,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1453,
        "literal": "| Enoch | 3677 | 3312 | 365 | 65 |"
      }
    },
    "SP:Noah": {
      "b": 500,
      "r": 450,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1456,
        "literal": "| Noah — G2 primary | 3493 | 2543 | 950 | 500 to G2 primary Shem; other bindings in §3.2.1 |"
      }
    },
    "SP:Shem": {
      "b": 100,
      "r": 500,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1600,
        "literal": "| Shem — Arphaxad-bound | 2991 | 2391 | 600 | 100 |"
      }
    },
    "SP:Arphaxad": {
      "b": 135,
      "r": 303,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1601,
        "literal": "| Arphaxad | 2891 | 2453 | 438 | 135 |"
      }
    },
    "SP:Shelah": {
      "b": 130,
      "r": 303,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1602,
        "literal": "| Shelah | 2756 | 2323 | 433 | 130 |"
      }
    },
    "SP:Eber": {
      "b": 134,
      "r": 270,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1603,
        "literal": "| Eber | 2626 | 2222 | 404 | 134 |"
      }
    },
    "SP:Peleg": {
      "b": 130,
      "r": 109,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1604,
        "literal": "| Peleg | 2492 | 2253 | 239 | 130 |"
      }
    },
    "SP:Reu": {
      "b": 132,
      "r": 107,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1605,
        "literal": "| Reu | 2362 | 2123 | 239 | 132 |"
      }
    },
    "SP:Serug": {
      "b": 130,
      "r": 100,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1606,
        "literal": "| Serug | 2230 | 2000 | 230 | 130 |"
      }
    },
    "SP:Nahor": {
      "b": 79,
      "r": 69,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1607,
        "literal": "| Nahor | 2100 | 1952 | 148 | 79 |"
      }
    },
    "SP:Terah": {
      "b": 70,
      "r": 75,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1608,
        "literal": "| Terah | 2021 | 1876 | 145, or 205 ideal | 70 |"
      }
    },
    "LXX:Adam": {
      "b": 230,
      "r": 700,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1697,
        "literal": "| Adam | 5279 | 4349 | 930 | 230 |"
      }
    },
    "LXX:Seth": {
      "b": 205,
      "r": 707,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1698,
        "literal": "| Seth | 5049 | 4137 | 912 | 205 |"
      }
    },
    "LXX:Enosh": {
      "b": 190,
      "r": 715,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1699,
        "literal": "| Enosh | 4844 | 3939 | 905 | 190 |"
      }
    },
    "LXX:Kenan": {
      "b": 170,
      "r": 740,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1700,
        "literal": "| Kenan | 4654 | 3744 | 910 | 170 |"
      }
    },
    "LXX:Mahalalel": {
      "b": 165,
      "r": 730,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1701,
        "literal": "| Mahalalel | 4484 | 3589 | 895 | 165 |"
      }
    },
    "LXX:Jared": {
      "b": 162,
      "r": 800,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1702,
        "literal": "| Jared | 4319 | 3357 | 962 | 162 |"
      }
    },
    "LXX:Enoch": {
      "b": 165,
      "r": 200,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1703,
        "literal": "| Enoch | 4157 | 3792 | 365 | 165 |"
      }
    },
    "LXX:Methuselah": {
      "b": 187,
      "r": 782,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1704,
        "literal": "| Methuselah | 3992 | 3023 | 969 | 187 |"
      }
    },
    "LXX:Lamech": {
      "b": 182,
      "r": 571,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1705,
        "literal": "| Lamech | 3805 | 3052 | 753 | 182 |"
      }
    },
    "LXX:Noah": {
      "b": 500,
      "r": 450,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1706,
        "literal": "| Noah | 3623 | 2673 | 950 | 500 |"
      }
    },
    "LXX:Shem": {
      "b": 100,
      "r": 500,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1716,
        "literal": "| Shem | 3121 | 2521 | 600 | 100 |"
      }
    },
    "LXX:Arphaxad": {
      "b": 135,
      "r": 330,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1717,
        "literal": "| Arphaxad | 3021 | 2556 | 465 | 135 |"
      }
    },
    "LXX:Cainan2": {
      "b": 130,
      "r": 330,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1718,
        "literal": "| 2nd Cainan | 2886 | 2426 | 460 | 130, LXX native |"
      }
    },
    "LXX:Shelah": {
      "b": 130,
      "r": 330,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1719,
        "literal": "| Shelah | 2756 | 2296 | 460 | 130 |"
      }
    },
    "LXX:Eber": {
      "b": 134,
      "r": 370,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1720,
        "literal": "| Eber | 2626 | 2122 | 504 | 134 |"
      }
    },
    "LXX:Peleg": {
      "b": 130,
      "r": 209,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1721,
        "literal": "| Peleg | 2492 | 2153 | 339 | 130 |"
      }
    },
    "LXX:Reu": {
      "b": 132,
      "r": 207,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1722,
        "literal": "| Reu | 2362 | 2023 | 339 | 132 |"
      }
    },
    "LXX:Serug": {
      "b": 130,
      "r": 200,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1723,
        "literal": "| Serug | 2230 | 1900 | 330 | 130 |"
      }
    },
    "LXX:Nahor": {
      "b": 79,
      "r": 129,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1724,
        "literal": "| Nahor | 2100 | 1892 | 208 | 79 |"
      }
    },
    "LXX:Terah": {
      "b": 70,
      "r": 135,
      "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
      "source_locator": {
        "source": "File18",
        "line": 1725,
        "literal": "| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |"
      }
    }
  },
  "excluded_SP_inclusive_rows": [
    {
      "key": "SP:Jared",
      "row": {
        "name": "Jared",
        "b_ledger": 62,
        "L_ledger": 847,
        "r_calculated": 785,
        "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
        "b_completed_primary": null,
        "L_counting": "inclusive; do not replace by simple birth-death difference",
        "following_Shem_binding": null
      },
      "source_locator": {
        "source": "File18",
        "line": 1452,
        "literal": "| Jared | 3739 | 2893 | 847 inclusive | 62 |"
      },
      "reason": "Inclusive ledger count; not an ordinary biography remainder."
    },
    {
      "key": "SP:Methuselah",
      "row": {
        "name": "Methuselah",
        "b_ledger": 67,
        "L_ledger": 720,
        "r_calculated": 653,
        "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
        "b_completed_primary": null,
        "L_counting": "inclusive; do not replace by simple birth-death difference",
        "following_Shem_binding": null
      },
      "source_locator": {
        "source": "File18",
        "line": 1454,
        "literal": "| Methuselah | 3612 | 2893 | 720 inclusive | 67 |"
      },
      "reason": "Inclusive ledger count; not an ordinary biography remainder."
    },
    {
      "key": "SP:Lamech",
      "row": {
        "name": "Lamech",
        "b_ledger": 53,
        "L_ledger": 653,
        "r_calculated": 600,
        "r_status": "derived L_ledger minus b_ledger; not an independently quoted remainder",
        "b_completed_primary": 52,
        "L_counting": "inclusive; do not replace by simple birth-death difference",
        "following_Shem_binding": null
      },
      "source_locator": {
        "source": "File18",
        "line": 1455,
        "literal": "| Lamech | 3545 | 2893 | 653 inclusive | 53rd year to primary Noah; full 53 to companion |"
      },
      "reason": "Inclusive ledger count; not an ordinary biography remainder."
    }
  ],
  "source_status": "All packet remainders are calculated from selected L and b. Keeping Q(r) in an inverse problem adds an observation mathematically, not independent historical evidence.",
  "rounding_policy_locator": {
    "source": "File51a",
    "lines": [
      177,
      184,
      441,
      448
    ],
    "sections": [
      "Introduction",
      "3.4"
    ]
  },
  "LXX_Lamech_control": {
    "source": "File18",
    "lines": [
      1743,
      1757
    ],
    "section": "4A.1",
    "status": "Restored182, attested753, calculated571; no identified joint182/753 manuscript witness."
  },
  "source_qualification": "File51a3.4 singular Methuselah wording is already qualified by inherited C750/C753: Reu also differs, and main LXX Lamech adds another class. No canonical edit is made.",
  "cap_packet": {
    "forward_inputs": {
      "names": [
        "Adam",
        "Seth",
        "Enosh",
        "Kenan",
        "Mahalalel",
        "Jared",
        "Enoch",
        "Methuselah",
        "Lamech"
      ],
      "begetting_completed": [
        130,
        105,
        90,
        70,
        65,
        62,
        65,
        67,
        52
      ],
      "Noah_primary": 3493,
      "Noah_to_Flood_start": 600,
      "inclusive_adjustment": 1,
      "baseline_lives": [
        930,
        912,
        905,
        910,
        895,
        962,
        365,
        969,
        777
      ],
      "rule": "minimum of baseline life and inclusive capacity",
      "scope": "native SP G2; Noah excluded; no upstream Gear",
      "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5"
    },
    "generated": {
      "births": [
        4199,
        4069,
        3964,
        3874,
        3804,
        3739,
        3677,
        3612,
        3545
      ],
      "capacities": [
        1307,
        1177,
        1072,
        982,
        912,
        847,
        785,
        720,
        653
      ],
      "lives": [
        930,
        912,
        905,
        910,
        895,
        847,
        365,
        720,
        653
      ],
      "deaths": [
        3269,
        3157,
        3059,
        2964,
        2909,
        2893,
        3312,
        2893,
        2893
      ]
    },
    "inverse_conditions": [
      "k held",
      "Enoch65 held",
      "three capped lives held"
    ],
    "retained_limits": [
      "not historical direction",
      "not recovery of baseline excess",
      "not derivation of early five begettings"
    ],
    "review_clarifications": {
      "C974": "dB=U db holds at fixed Noah placement; with frame motion add 1 dN. dL=A U db holds at fixed k and active support.",
      "C977_locator": "Three local counting paths occur in File18 §3.1; §3.1.2 was an imprecise source locator."
    }
  },
  "prior_evidence": [
    "C748 ordered-field inversion",
    "C752–C753 forward defect law and complete source support",
    "C760 multiples-of-five equivariance",
    "C770 residual recovery",
    "C968 exact cap fibres",
    "C974 strict-support response",
    "C981 cap/round comparison support",
    "C1177 complete labelled row freeze"
  ],
  "guards": [
    "No second decimal inversion",
    "No endpoint search or target tally",
    "No new chronology variants",
    "No root journal edits"
  ]
}