{
  "status": "PREPARATORY CALCULATION, not numbered research",
  "question_file_sha256": "f3cf6f9191af593ddf54edf85c9316c0fb14d0438a168a21f8f3046ca3506ac0",
  "primitive_parameters": {
    "Q": 1866,
    "T": 1406,
    "qI": 1,
    "qX": 15,
    "xJ": 60,
    "jCall": 77,
    "callL": 10,
    "callZ": 14,
    "L_I": 137,
    "L_L": 137,
    "L_J": 147,
    "L_Z": 110,
    "L_A": 175
  },
  "primitive_caveat": "This is a minimal source-local packet for the declared path, not a claim of historically independent observations. qI/qX are author-bound Covenant offsets; their broader textual-age dependencies remain outside this local coordinate parameterization.",
  "node_expressions": {
    "Q": "Q",
    "Ishmael_birth": "Q - qI",
    "Ishmael_death": "Q - qI - L_I",
    "Isaac_birth": "Q - qX",
    "Jacob_birth": "Q - qX - xJ",
    "Jacob_call": "Q - qX - xJ - jCall",
    "Jacob_death": "Q - qX - xJ - L_J",
    "Levi_birth": "Q - qX - xJ - jCall - callL",
    "Levi_death": "Q - qX - xJ - jCall - callL - L_L",
    "Joseph_birth": "Q - qX - xJ - jCall - callZ",
    "Joseph_death": "Q - qX - xJ - jCall - callZ - L_Z",
    "terminal": "T"
  },
  "generated_values": {
    "Q": 1866,
    "Ishmael_birth": 1865,
    "Ishmael_death": 1728,
    "Isaac_birth": 1851,
    "Jacob_birth": 1791,
    "Jacob_call": 1714,
    "Jacob_death": 1644,
    "Levi_birth": 1704,
    "Levi_death": 1567,
    "Joseph_birth": 1700,
    "Joseph_death": 1590,
    "terminal": 1406
  },
  "coordinate_map": {
    "rank": 12,
    "shape": [
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    "determinant": -1,
    "matrix": [
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    "relative_dimension": 11,
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      "name": "rail_Isaac_Levi_equals_Jacob_life",
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      "incremental_rank": 1
    },
    {
      "name": "rail_call_Levi_death_equals_Jacob_life",
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      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "equal_Ishmael_Levi_lives",
      "expression": "L_I - L_L",
      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "twin_death_arms",
      "expression": "-Q - qI - L_I + 2*qX + 2*xJ + 2*jCall + 2*callL + 2*L_L + T",
      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "Joseph_double_Jacob_life",
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      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "common_E_J_landing",
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      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "E_birth_arm_equals_Abraham_life",
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      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "centred_Jacob_Ishmael_Abraham",
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      "source_value": 0,
      "incremental_rank": 1
    },
    {
      "name": "Ishmael_middle_gap_equals_household",
      "expression": "-qI + qX + xJ + jCall + callL - L_J - callZ",
      "source_value": 0,
      "incremental_rank": 0
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  ],
  "consequence_dependencies": {
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    "three147_diagonal_Levi_life": {
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      "zero_identity": false
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      "expression": "xJ + jCall + callL - L_J",
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      "zero_identity": false
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    "common_transformed_point_difference": {
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  "normalization_incremental_rank": [
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      "name": "Ishmael_Levi_birth_arm161",
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    {
      "name": "Levi_terminal_arm161",
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    },
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      "name": "Covenant_Levi299",
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      "name": "Jacob_life147",
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    "meaning": "25*centred−2*E_condition=21*L_A−25*L_J. When source L_A175 and L_J147 are fixed, the two radius conditions are the same condition, not independent."
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    "L_Z": {
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    "L_A": {}
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    ],
    "relation_half_equals_twice_phase": {
      "expression": "half - 2*phase",
      "rank": 8
    },
    "repeated137_source_equality": {
      "expression": "b3 - b4 - b5 + b6",
      "rank": 8
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    "both_relations_rank": 7,
    "no_Aaron_phase_observations_rank": 8,
    "no_shifted_observations_rank": 8,
    "one_entire_row_absent_rank": 8,
    "half_plus_full_only_single_phase_rank": 8,
    "exact_link_source_values": {
      "phase": "7/2",
      "half": 7,
      "half_minus_two_phase": 0
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    "whole_year_link_source_values": {
      "phase": 3,
      "half": 7,
      "half_minus_two_phase": 1
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  "endogenous_clutch_joins": {
    "clutch_formula": "L_L + L_Kohath + L_Amram + Moses_birth - Q + qX + xJ + jCall + callL - full_state_shift",
    "clutch_equals_cumulative_Kohath_minus_regular_Levi_death": 0,
    "Exodus_derivative_of_clutch": 0,
    "translated_Moses_anchor_derivatives": [
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "translated_relative_to_Levi_death": [
      "L_J + L_Isaac + L_A + L_L",
      "L_J + L_Isaac + L_L",
      "L_J + L_L",
      "L_L",
      0,
      "-L_Kohath",
      "-L_Kohath - L_Amram"
    ],
    "Kohath_join_residual": 0,
    "Levi_join_residual": 0,
    "Jacob_to_Isaac_residual": "L_J - xJ - jCall - callL",
    "Jacob_join_equals_negative_first_147_condition": 0,
    "fixed_clutch_Aaron_phase_residual": "phase",
    "recomputed_clutch_on_each_phase_residual": 0,
    "source_values": {
      "full_state_shift": 215,
      "Moses_birth": 1526,
      "Exodus": 1446,
      "L_Isaac": 180,
      "L_Kohath": 133,
      "L_Amram": 137
    },
    "calculated_clutch": 14,
    "calculated_original": [
      2435,
      2260,
      2080,
      1933,
      1796,
      1663,
      1526
    ],
    "calculated_translated": [
      2421,
      2246,
      2066,
      1919,
      1782,
      1649,
      1512
    ]
  },
  "coupled_field": {
    "parameter_names": [
      "Q",
      "T",
      "qI",
      "qX",
      "xJ",
      "jCall",
      "callL",
      "callZ",
      "L_I",
      "L_L",
      "L_J",
      "L_Z",
      "L_A",
      "Moses_birth",
      "full_state_shift",
      "L_Isaac",
      "L_Kohath",
      "L_Amram",
      "phase"
    ],
    "source_parameter_count": 19,
    "output_count": 55,
    "rank": 19,
    "new_scalar_clutch_parameter_count": 0,
    "clutch_rule": "d = cumulative Kohath minus regular full-state Levi death; h=d/2",
    "shared_lifespans": "L_A,L_J,L_L are one source value each, reused in both source paths; L_I and L_Amram remain separately labelled equal-valued source lifespans"
  },
  "limits": [
    "No generated161/299/276/300/1566 stored as primitive input",
    "Formal sensitivity directions are diagnostics, not admitted source variants",
    "Ranks are conditional algebraic dimensions, not probability or historical independence",
    "No source edit, primer execution,1486 calculation, upstream Gear transport or second decimal inversion"
  ]
}