Evidence

adoption results.json

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{
  "status": "Prepared candidate results only; no numbered action is executed by this module",
  "bindings": {
    "questions_declared.json": "f3cf6f9191af593ddf54edf85c9316c0fb14d0438a168a21f8f3046ca3506ac0",
    "source_packet.json": "cb62b92ec4366f30b9a2b5a3e9fae5961bfb4471e40c793ab4bbf73fc5c1eb24",
    "diagnostics.json": "507df3debd6f453b52841039a86c1d6adaf7ca28970832b46e3d0035319757ee",
    "source_only_reproduction.json": "f6ae9fc97b65001b80eedf10b380d8b8e639001f0cd64e2e33ac0910c2439cbc"
  },
  "questions": [
    {
      "id": "Q01",
      "question": "Can the C551 eleven-node Covenant output be regenerated without treating either161 gap as an input, using the source son offsets, Isaac-to-Jacob60, Jacob call77, household10/14, lifespans and the independently retained terminal?",
      "prepared_results": {
        "source_parameters": [
          {
            "name": "Q",
            "value": 1866,
            "source": "File60 §2.2",
            "role": "author-bound Covenant coordinate"
          },
          {
            "name": "T",
            "value": 1406,
            "source": "File60 §3.2",
            "role": "retained whole-year terminal"
          },
          {
            "name": "qI",
            "value": 1,
            "source": "File60 §2.2",
            "role": "Covenant to Ishmael birth offset"
          },
          {
            "name": "qX",
            "value": 15,
            "source": "File60 §2.2",
            "role": "Covenant to Isaac birth offset"
          },
          {
            "name": "xJ",
            "value": 60,
            "source": "File60 §2.4",
            "role": "Isaac to Jacob birth"
          },
          {
            "name": "jCall",
            "value": 77,
            "source": "File60 §2.3",
            "role": "Jacob call age"
          },
          {
            "name": "callL",
            "value": 10,
            "source": "File60 §2.7",
            "role": "Jacob call to Levi birth"
          },
          {
            "name": "callZ",
            "value": 14,
            "source": "File60 §2.7",
            "role": "Jacob call to Joseph birth; source household duration, not a fitted clutch"
          },
          {
            "name": "L_I",
            "value": 137,
            "source": "File60 §3.1",
            "role": "Ishmael lifespan"
          },
          {
            "name": "L_L",
            "value": 137,
            "source": "File60 §3.1",
            "role": "Levi lifespan reused in regular and cumulative paths"
          },
          {
            "name": "L_J",
            "value": 147,
            "source": "File60 §2.3",
            "role": "Jacob lifespan reused in regular and cumulative paths"
          },
          {
            "name": "L_Z",
            "value": 110,
            "source": "File60 §6.6",
            "role": "Joseph lifespan"
          },
          {
            "name": "L_A",
            "value": 175,
            "source": "File60 §2.6; File61 §7.5",
            "role": "Abraham lifespan"
          },
          {
            "name": "Moses_birth",
            "value": 1526,
            "source": "File61 §7.5",
            "role": "fixed Moses source birth"
          },
          {
            "name": "full_state_shift",
            "value": 215,
            "source": "File60 §0.4; File61 §8.2",
            "role": "declared MT Minimum to full430 comparison"
          },
          {
            "name": "L_Isaac",
            "value": 180,
            "source": "File61 §7.5",
            "role": "Isaac lifespan"
          },
          {
            "name": "L_Kohath",
            "value": 133,
            "source": "File61 §7.5",
            "role": "Kohath lifespan"
          },
          {
            "name": "L_Amram",
            "value": 137,
            "source": "File61 §7.5",
            "role": "Amram lifespan, separately labelled from equal-valued Levi"
          },
          {
            "name": "phase",
            "value": "7/2",
            "source": "File61 §7.6; File62 §1.3",
            "role": "exact Aaron/Tishri phase, not whole-year3"
          }
        ],
        "removed_generated_inputs": [
          "Ishmael-to-Levi161",
          "Levi-to-terminal161",
          "Covenant-to-Levi299",
          "Covenant-to-Joseph276",
          "transformed common1566",
          "generated cumulative boundaries",
          "clutch14 as an independent parameter",
          "half-clutch7 as an independent parameter"
        ],
        "generated_regular": {
          "Q": 1866,
          "Ishmael_birth": 1865,
          "Isaac_birth": 1851,
          "terminal": 1406,
          "Ishmael_death": 1728,
          "Jacob_birth": 1791,
          "Jacob_call": 1714,
          "Jacob_death": 1644,
          "Levi_birth": 1704,
          "Levi_death": 1567,
          "Joseph_birth": 1700,
          "Joseph_death": 1590
        },
        "reproduced_old_values": {
          "Ishmael_Levi_birth_gap": 161,
          "Levi_terminal_gap": 161,
          "Covenant_Levi_span": 299,
          "Covenant_Joseph_span": 276
        }
      }
    },
    {
      "id": "Q02",
      "question": "What is the exact rank of the primitive-to-coordinate incidence map, and which source-local quantities can be recovered from the complete coordinates?",
      "prepared_results": {
        "rank": 12,
        "shape": [
          12,
          12
        ],
        "determinant": -1,
        "matrix": [
          [
            1,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            -1,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            -1,
            0,
            0,
            0,
            0,
            0,
            -1,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            -1,
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            0,
            0,
            0,
            0,
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            0,
            0
          ],
          [
            1,
            0,
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          ],
          [
            1,
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            0,
            -1,
            -1,
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            0,
            0,
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            0
          ],
          [
            1,
            0,
            0,
            -1,
            -1,
            0,
            0,
            0,
            0,
            0,
            -1,
            0
          ],
          [
            1,
            0,
            0,
            -1,
            -1,
            -1,
            -1,
            0,
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            -1,
            -1,
            -1,
            -1,
            0,
            0,
            -1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            -1,
            -1,
            -1,
            0,
            -1,
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            -1,
            -1,
            -1,
            0,
            -1,
            0,
            0,
            0,
            -1
          ],
          [
            0,
            1,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0
          ]
        ],
        "relative_dimension": 11,
        "global_translation_vector": [
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ]
      }
    },
    {
      "id": "Q03",
      "question": "After quotienting common translation, how many placement and shape parameters remain, and what datum restores absolute placement?",
      "prepared_results": {
        "absolute_parameter_count": 12,
        "relative_dimension": 11,
        "translation_vector": [
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "frame_recovery": "Supply one absolute coordinate; retaining Q recovers the common translation."
      }
    },
    {
      "id": "Q04",
      "question": "What minimal source equations express the three147 rails, and are the two non-biographical agreements independent conditions?",
      "prepared_results": {
        "conditions": [
          {
            "name": "rail_Isaac_Levi_equals_Jacob_life",
            "expression": "xJ + jCall + callL - L_J",
            "source_value": 0,
            "incremental_rank": 1
          },
          {
            "name": "rail_call_Levi_death_equals_Jacob_life",
            "expression": "callL + L_L - L_J",
            "source_value": 0,
            "incremental_rank": 1
          }
        ],
        "vertical_and_diagonal_dependencies": {
          "three147_vertical60": {
            "expression": "-jCall - callL + L_J - xJ",
            "basis_weights": [
              -1,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "three147_vertical77": {
            "expression": "-L_J + callL + L_L",
            "basis_weights": [
              0,
              1,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "three147_diagonal_Levi_life": {
            "expression": "xJ + jCall - L_L",
            "basis_weights": [
              1,
              -1,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          }
        }
      }
    },
    {
      "id": "Q05",
      "question": "Does equal137 biography supply an additional condition, or does it follow from the147 rail constraints?",
      "prepared_results": {
        "condition": {
          "name": "equal_Ishmael_Levi_lives",
          "expression": "L_I - L_L",
          "source_value": 0,
          "incremental_rank": 1
        },
        "birth_death_displacement": {
          "expression": "L_I - L_L",
          "basis_weights": [
            0,
            0,
            1,
            0,
            0,
            0,
            0,
            0
          ],
          "zero_identity": false
        }
      }
    },
    {
      "id": "Q06",
      "question": "Which source choice is constrained by equal161 death arms after the preceding biography relations are fixed?",
      "prepared_results": {
        "condition": {
          "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
        },
        "meaning": "With earlier source path quantities fixed, this is a terminal-placement condition, not a consequence of equal lives alone."
      }
    },
    {
      "id": "Q07",
      "question": "Does Joseph's double147 terminal span impose a separate terminal constraint or a condition on the household/lifespan source values?",
      "prepared_results": {
        "condition": {
          "name": "Joseph_double_Jacob_life",
          "expression": "Q - qX - xJ - jCall - callZ - T - 2*L_J",
          "source_value": 0,
          "incremental_rank": 1
        },
        "joint_consequence": "Combining terminal equality with A2/A3 gives the A9 household-middle circuit in Q08."
      }
    },
    {
      "id": "Q08",
      "question": "What exact linear circuits connect the147 rails, equal lives, twin death arms and Joseph double span?",
      "prepared_results": {
        "row_order": [
          "rail_Isaac_Levi_equals_Jacob_life",
          "rail_call_Levi_death_equals_Jacob_life",
          "equal_Ishmael_Levi_lives",
          "twin_death_arms",
          "Joseph_double_Jacob_life",
          "common_E_J_landing",
          "E_birth_arm_equals_Abraham_life",
          "centred_Jacob_Ishmael_Abraham",
          "Ishmael_middle_gap_equals_household"
        ],
        "row_dependency_vectors": [
          [
            [
              0
            ],
            [
              1
            ],
            [
              -1
            ],
            [
              -1
            ],
            [
              -1
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              1
            ]
          ]
        ],
        "readable_identity": "A9 = -A2 + A3 + A4 + A5"
      }
    },
    {
      "id": "Q09",
      "question": "What primitive source condition is equivalent to the E/J common landing, without entering276,299,300 or1566 as inputs?",
      "prepared_results": {
        "primitive_condition": {
          "name": "common_E_J_landing",
          "expression": "qX + xJ + jCall + 13*callZ + 13*L_Z - 12*callL - 12*L_L",
          "source_value": 0,
          "incremental_rank": 1
        },
        "generated_point_difference": {
          "expression": "-25/299*qX - 25/299*xJ - 25/299*jCall - 25/23*callZ - 25/23*L_Z + 300/299*callL + 300/299*L_L",
          "basis_weights": [
            0,
            0,
            0,
            0,
            0,
            "-25/299",
            0,
            0
          ],
          "zero_identity": false
        }
      }
    },
    {
      "id": "Q10",
      "question": "How does the mixed-Key common-landing condition rank against the earlier same-side shape constraints?",
      "prepared_results": {
        "rank_before_common_landing": 5,
        "rank_after_common_landing": 6,
        "condition": {
          "name": "common_E_J_landing",
          "expression": "qX + xJ + jCall + 13*callZ + 13*L_Z - 12*callL - 12*L_L",
          "source_value": 0,
          "incremental_rank": 1
        },
        "qualification": "Ranks refer to the ordered declared variable packet, not historically independent observations."
      }
    },
    {
      "id": "Q11",
      "question": "Are the centred147/161/175 progression and the E-completed Abraham lifespan the same source condition or two distinct constraints?",
      "prepared_results": {
        "conditions": [
          {
            "name": "E_birth_arm_equals_Abraham_life",
            "expression": "-25*qI + 25*qX + 25*xJ + 25*jCall + 25*callL - 23*L_A",
            "source_value": 0,
            "incremental_rank": 1
          },
          {
            "name": "centred_Jacob_Ishmael_Abraham",
            "expression": "-2*qI + 2*qX + 2*xJ + 2*jCall + 2*callL - L_J - L_A",
            "source_value": 0,
            "incremental_rank": 1
          }
        ],
        "conditional_identity": {
          "expression": "-25*L_J + 21*L_A",
          "source_value": 0,
          "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."
        }
      }
    },
    {
      "id": "Q12",
      "question": "What is a minimal row basis for the whole selected Covenant claim system, and which printed consequences are exact row combinations?",
      "prepared_results": {
        "claim_matrix": [
          [
            0,
            0,
            0,
            0,
            1,
            1,
            1,
            0,
            0,
            0,
            -1,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0,
            0,
            0,
            1,
            0,
            0,
            1,
            -1,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            0,
            1,
            -1,
            0,
            0,
            0
          ],
          [
            -1,
            1,
            -1,
            2,
            2,
            2,
            2,
            0,
            -1,
            2,
            0,
            0,
            0
          ],
          [
            1,
            -1,
            0,
            -1,
            -1,
            -1,
            0,
            -1,
            0,
            0,
            -2,
            0,
            0
          ],
          [
            0,
            0,
            0,
            1,
            1,
            1,
            -12,
            13,
            0,
            -12,
            0,
            13,
            0
          ],
          [
            0,
            0,
            -25,
            25,
            25,
            25,
            25,
            0,
            0,
            0,
            0,
            0,
            -23
          ],
          [
            0,
            0,
            -2,
            2,
            2,
            2,
            2,
            0,
            0,
            0,
            -1,
            0,
            -1
          ],
          [
            0,
            0,
            -1,
            1,
            1,
            1,
            1,
            -1,
            0,
            0,
            -1,
            0,
            0
          ]
        ],
        "rank": 8,
        "basis": [
          "rail_Isaac_Levi_equals_Jacob_life",
          "rail_call_Levi_death_equals_Jacob_life",
          "equal_Ishmael_Levi_lives",
          "twin_death_arms",
          "Joseph_double_Jacob_life",
          "common_E_J_landing",
          "E_birth_arm_equals_Abraham_life",
          "centred_Jacob_Ishmael_Abraham"
        ],
        "consequence_dependencies": {
          "three147_vertical60": {
            "expression": "-jCall - callL + L_J - xJ",
            "basis_weights": [
              -1,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "three147_vertical77": {
            "expression": "-L_J + callL + L_L",
            "basis_weights": [
              0,
              1,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "three147_diagonal_Levi_life": {
            "expression": "xJ + jCall - L_L",
            "basis_weights": [
              1,
              -1,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "equal_birth_death_displacement": {
            "expression": "L_I - L_L",
            "basis_weights": [
              0,
              0,
              1,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "Covenant_Levi_via_Isaac": {
            "expression": "xJ + jCall + callL - L_J",
            "basis_weights": [
              1,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": false
          },
          "Covenant_Levi_via_Ishmael_identity": {
            "expression": 0,
            "basis_weights": [
              0,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": true
          },
          "Joseph_Levi_gap_biography_identity": {
            "expression": 0,
            "basis_weights": [
              0,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": true
          },
          "birth_death_displacement_identity": {
            "expression": 0,
            "basis_weights": [
              0,
              0,
              0,
              0,
              0,
              0,
              0,
              0
            ],
            "zero_identity": true
          },
          "common_transformed_point_difference": {
            "expression": "-25/299*qX - 25/299*xJ - 25/299*jCall - 25/23*callZ - 25/23*L_Z + 300/299*callL + 300/299*L_L",
            "basis_weights": [
              0,
              0,
              0,
              0,
              0,
              "-25/299",
              0,
              0
            ],
            "zero_identity": false
          }
        }
      }
    },
    {
      "id": "Q13",
      "question": "Which added numeric normalizations fix23-unit size, terminal position or frame, beyond the relational claim system?",
      "prepared_results": {
        "incremental_normalizations": [
          {
            "name": "Ishmael_Levi_birth_arm161",
            "expression": "-qI + qX + xJ + jCall + callL - 161",
            "added_rank": 1,
            "source_value": 0
          },
          {
            "name": "Levi_terminal_arm161",
            "expression": "Q - qX - xJ - jCall - callL - L_L - T - 161",
            "added_rank": 0,
            "source_value": 0
          },
          {
            "name": "Covenant_Levi299",
            "expression": "qX + xJ + jCall + callL + L_L - 299",
            "added_rank": 1,
            "source_value": 0
          },
          {
            "name": "Covenant_Joseph276",
            "expression": "qX + xJ + jCall + callZ + L_Z - 276",
            "added_rank": 0,
            "source_value": 0
          },
          {
            "name": "Jacob_life147",
            "expression": "L_J - 147",
            "added_rank": 0,
            "source_value": 0
          },
          {
            "name": "Abraham_life175",
            "expression": "L_A - 175",
            "added_rank": 0,
            "source_value": 0
          },
          {
            "name": "absolute_Covenant1866",
            "expression": "Q - 1866",
            "added_rank": 1,
            "source_value": 0
          }
        ],
        "remaining_nullspace": [
          [
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              -1
            ],
            [
              1
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ]
          ],
          [
            [
              0
            ],
            [
              0
            ],
            [
              -1
            ],
            [
              -1
            ],
            [
              1
            ],
            [
              0
            ],
            [
              -1
            ],
            [
              0
            ],
            [
              1
            ],
            [
              1
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ]
          ]
        ],
        "further_source_identifiers": [
          {
            "name": "Covenant_Ishmael_offset1",
            "added_rank": 1,
            "source_value": 0
          },
          {
            "name": "Isaac_Jacob_interval60",
            "added_rank": 1,
            "source_value": 0
          }
        ],
        "final_rank": 13
      }
    },
    {
      "id": "Q14",
      "question": "What complete source-parameter sensitivity field follows from the rooted incidence map, and can it distinguish a changed household interval from a changed lifespan?",
      "prepared_results": {
        "primitive_order": [
          "Q",
          "T",
          "qI",
          "qX",
          "xJ",
          "jCall",
          "callL",
          "callZ",
          "L_I",
          "L_L",
          "L_J",
          "L_Z",
          "L_A"
        ],
        "complete_source_sensitivity": {
          "Q": {
            "Q": 1,
            "Ishmael_birth": 1,
            "Ishmael_death": 1,
            "Isaac_birth": 1,
            "Jacob_birth": 1,
            "Jacob_call": 1,
            "Jacob_death": 1,
            "Levi_birth": 1,
            "Levi_death": 1,
            "Joseph_birth": 1,
            "Joseph_death": 1
          },
          "T": {
            "terminal": 1
          },
          "qI": {
            "Ishmael_birth": -1,
            "Ishmael_death": -1
          },
          "qX": {
            "Isaac_birth": -1,
            "Jacob_birth": -1,
            "Jacob_call": -1,
            "Jacob_death": -1,
            "Levi_birth": -1,
            "Levi_death": -1,
            "Joseph_birth": -1,
            "Joseph_death": -1
          },
          "xJ": {
            "Jacob_birth": -1,
            "Jacob_call": -1,
            "Jacob_death": -1,
            "Levi_birth": -1,
            "Levi_death": -1,
            "Joseph_birth": -1,
            "Joseph_death": -1
          },
          "jCall": {
            "Jacob_call": -1,
            "Levi_birth": -1,
            "Levi_death": -1,
            "Joseph_birth": -1,
            "Joseph_death": -1
          },
          "callL": {
            "Levi_birth": -1,
            "Levi_death": -1
          },
          "callZ": {
            "Joseph_birth": -1,
            "Joseph_death": -1
          },
          "L_I": {
            "Ishmael_death": -1
          },
          "L_L": {
            "Levi_death": -1
          },
          "L_J": {
            "Jacob_death": -1
          },
          "L_Z": {
            "Joseph_death": -1
          },
          "L_A": {}
        }
      }
    },
    {
      "id": "Q15",
      "question": "Which source parameters remain unidentified by all relational pattern claims, and can explicit formal null directions demonstrate the limit without proposing new chronology variants?",
      "prepared_results": {
        "primitive_order": [
          "Q",
          "T",
          "qI",
          "qX",
          "xJ",
          "jCall",
          "callL",
          "callZ",
          "L_I",
          "L_L",
          "L_J",
          "L_Z",
          "L_A"
        ],
        "nullity": 5,
        "nullspace": [
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            [
              1
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              1
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            [
              0
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            [
              0
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            [
              0
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            [
              0
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            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
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            [
              0
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            [
              0
            ],
            [
              0
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          ],
          [
            [
              0
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            [
              0
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            [
              0
            ],
            [
              0
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            [
              -1
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            [
              1
            ],
            [
              0
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            [
              0
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            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ]
          ],
          [
            [
              0
            ],
            [
              0
            ],
            [
              -1
            ],
            [
              -1
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            [
              1
            ],
            [
              0
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            [
              -1
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            [
              0
            ],
            [
              1
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            [
              1
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ]
          ],
          [
            [
              -13
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            [
              0
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            [
              -13
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            [
              -13
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            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
            ],
            [
              0
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            [
              0
            ],
            [
              0
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            [
              1
            ],
            [
              0
            ]
          ],
          [
            [
              "54/5"
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            [
              0
            ],
            [
              "224/25"
            ],
            [
              "226/25"
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            [
              0
            ],
            [
              0
            ],
            [
              "21/25"
            ],
            [
              "2/25"
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            [
              0
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            [
              0
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            [
              "21/25"
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            [
              0
            ],
            [
              1
            ]
          ]
        ],
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            [
              0
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              0
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              0
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            [
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            [
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            [
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              0
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            [
              0
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            [
              1
            ],
            [
              0
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            [
              0
            ],
            [
              0
            ]
          ]
        ],
        "status": "Formal sensitivity only; none is an admitted alternative chronology."
      }
    },
    {
      "id": "Q16",
      "question": "When a transformed common-point variable is introduced, which additional equation is a genuine cycle-consistency condition after eliminating that variable?",
      "prepared_results": {
        "point_routes": [
          "Y=Q-(25/23)(Q-Joseph_death)",
          "Y=Q-(300/299)(Q-Levi_death)"
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        "eliminated_difference": {
          "expression": "-25/299*qX - 25/299*xJ - 25/299*jCall - 25/23*callZ - 25/23*L_Z + 300/299*callL + 300/299*L_L",
          "basis_weights": [
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            0,
            0,
            0,
            0,
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            0
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          "zero_identity": false
        },
        "information": "The first route defines Y; the second adds A6 unless A6 has already been supplied."
      }
    },
    {
      "id": "Q17",
      "question": "What minimal parameter count reconstructs the42 exact cumulative phase/clutch coordinates, and what are all independent linear output dependencies?",
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        "parameter_names": [
          "b0",
          "b1",
          "b2",
          "b3",
          "b4",
          "b5",
          "b6",
          "phase",
          "half"
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        "shape": [
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          3
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        "rank": 9,
        "output_count": 42,
        "independent_output_relations": 33,
        "relation_matrix": [
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              0
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            [
              0
            ],
            [
              0
            ],
            [
              1
            ]
          ]
        ]
      }
    },
    {
      "id": "Q18",
      "question": "Does the source relation half-clutch7=2×exactphase3.5 reduce the field dimension, and why must the whole-year phase3 display use a different model?",
      "prepared_results": {
        "relation_half_equals_twice_phase": {
          "expression": "half - 2*phase",
          "rank": 8
        },
        "exact_link_source_values": {
          "phase": "7/2",
          "half": 7,
          "half_minus_two_phase": 0
        },
        "whole_year_link_source_values": {
          "phase": 3,
          "half": 7,
          "half_minus_two_phase": 1
        }
      }
    },
    {
      "id": "Q19",
      "question": "What smallest observation set identifies the cumulative row bases, phase offset and clutch width, and which missing rows or states destroy identifiability?",
      "prepared_results": {
        "observation_labels": [
          [
            0,
            0,
            0
          ],
          [
            1,
            0,
            0
          ],
          [
            2,
            0,
            0
          ],
          [
            3,
            0,
            0
          ],
          [
            4,
            0,
            0
          ],
          [
            5,
            0,
            0
          ],
          [
            6,
            0,
            0
          ],
          [
            0,
            1,
            0
          ],
          [
            0,
            0,
            1
          ]
        ],
        "observation_determinant": -1,
        "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
      }
    },
    {
      "id": "Q20",
      "question": "How much additional compression follows when row bases are derived from the Moses anchor and six lifespans, with the repeated137 retained as a declared source equality?",
      "prepared_results": {
        "row_base_construction": "Moses anchor plus suffixes of [Abraham,Isaac,Jacob,Levi,Kohath,Amram] lifespans",
        "source_repeated_lifespan": {
          "expression": "b3 - b4 - b5 + b6",
          "rank": 8
        },
        "both_source_relations_rank": 7,
        "warning": "Replacing dates by a path is an invertible parameter change; dimension decreases only when an additional source equality is imposed."
      }
    },
    {
      "id": "Q21",
      "question": "Which cumulative/regular clutch landing is forced by deriving clutch from the maximum envelope, and which further landing adds a new source condition?",
      "prepared_results": {
        "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,
        "Kohath_join_residual": 0,
        "calculated_clutch": 14
      }
    },
    {
      "id": "Q22",
      "question": "Can the matched Levi birth/death landing be reduced to one join plus the shared lifespan, rather than counted twice?",
      "prepared_results": {
        "Levi_join_residual": 0,
        "source_reason": "Same Levi lifespan supplies both C_Levi-C_Kohath and regular Levi birth-death."
      }
    },
    {
      "id": "Q23",
      "question": "What exact residual at the translated cumulative Jacob/regular Isaac join remains after the forced Levi landing, and is it the same147-rail condition already isolated?",
      "prepared_results": {
        "Jacob_to_Isaac_residual": "L_J - xJ - jCall - callL",
        "Jacob_join_equals_negative_first_147_condition": 0
      }
    },
    {
      "id": "Q24",
      "question": "Does the repeat137 lifespan create a true extra assumption when regular and cumulative packets are combined, or is it reuse of the same source value?",
      "prepared_results": {
        "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"
        ],
        "translated_Moses_anchor_derivatives": [
          0,
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "fixed_clutch_Aaron_phase_residual": "phase",
        "recomputed_clutch_on_each_phase_residual": 0
      }
    },
    {
      "id": "Q25",
      "question": "What source-only packet and dependency ledger can regenerate the complete chosen Covenant/root field while marking tautologies, shared-source consequences and additional source constraints separately?",
      "prepared_results": {
        "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"
        },
        "source_only_reproduction": {
          "status": "Derived reproduction, not new numbered research",
          "regular_network": {
            "Q": 1866,
            "Ishmael_birth": 1865,
            "Isaac_birth": 1851,
            "terminal": 1406,
            "Ishmael_death": 1728,
            "Jacob_birth": 1791,
            "Jacob_call": 1714,
            "Jacob_death": 1644,
            "Levi_birth": 1704,
            "Levi_death": 1567,
            "Joseph_birth": 1700,
            "Joseph_death": 1590
          },
          "cumulative_order": [
            "Abraham",
            "Isaac",
            "Jacob",
            "Levi",
            "Kohath",
            "Amram",
            "Moses"
          ],
          "original_cumulative": [
            2435,
            2260,
            2080,
            1933,
            1796,
            1663,
            1526
          ],
          "derived_clutch": 14,
          "derived_half_clutch": 7,
          "six_rails": [
            {
              "phase_index": 0,
              "clutch_index": 0,
              "values": {
                "Abraham": 2435,
                "Isaac": 2260,
                "Jacob": 2080,
                "Levi": 1933,
                "Kohath": 1796,
                "Amram": 1663,
                "Moses": 1526
              }
            },
            {
              "phase_index": 0,
              "clutch_index": 1,
              "values": {
                "Abraham": 2428,
                "Isaac": 2253,
                "Jacob": 2073,
                "Levi": 1926,
                "Kohath": 1789,
                "Amram": 1656,
                "Moses": 1519
              }
            },
            {
              "phase_index": 0,
              "clutch_index": 2,
              "values": {
                "Abraham": 2421,
                "Isaac": 2246,
                "Jacob": 2066,
                "Levi": 1919,
                "Kohath": 1782,
                "Amram": 1649,
                "Moses": 1512
              }
            },
            {
              "phase_index": 1,
              "clutch_index": 0,
              "values": {
                "Abraham": "4877/2",
                "Isaac": "4527/2",
                "Jacob": "4167/2",
                "Levi": "3873/2",
                "Kohath": "3599/2",
                "Amram": "3333/2",
                "Moses": "3059/2"
              }
            },
            {
              "phase_index": 1,
              "clutch_index": 1,
              "values": {
                "Abraham": "4863/2",
                "Isaac": "4513/2",
                "Jacob": "4153/2",
                "Levi": "3859/2",
                "Kohath": "3585/2",
                "Amram": "3319/2",
                "Moses": "3045/2"
              }
            },
            {
              "phase_index": 1,
              "clutch_index": 2,
              "values": {
                "Abraham": "4849/2",
                "Isaac": "4499/2",
                "Jacob": "4139/2",
                "Levi": "3845/2",
                "Kohath": "3571/2",
                "Amram": "3305/2",
                "Moses": "3031/2"
              }
            }
          ],
          "derived_old_pattern_values": {
            "Ishmael_Levi_birth_gap": 161,
            "Levi_terminal_gap": 161,
            "Covenant_Levi_span": 299,
            "Covenant_Joseph_span": 276
          }
        },
        "source_hashes": {
          "File60": {
            "path": "/workspace/scratch/1b40da62dcbd/project_sources/36-File_60.Levitical_Covenant_Spine_161_299_Key_of_23_Reconciliation-10-.md",
            "sha256": "12a48221b7fdcdcd4ce1b9e169ced8456f291b85f1b453ff3d33de210c64c165",
            "bytes": 94902
          },
          "File61": {
            "path": "/workspace/scratch/1b40da62dcbd/project_sources/31-File_61.Jacob_Moses_Cumulative_Regular_Root_System-6-.md",
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            "bytes": 169559
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          "File62": {
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            "bytes": 86790
          }
        },
        "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"
        ]
      }
    }
  ]
}

Linked sources and evidence

Edition and provenance

adoption_results.json

SHA-256 ea703a65afd0f09124aea42fb2445afb64ea90d7588bdb784a8ddf46167b3fba

C480–C1634/Research_Cycles/C0932_C1131/prep/covenant_constraints/adoption_results.json