# Independent review of C1032–C1057

**PASS: 36/36 checks, including the sealed resolution of the C1034 wording at C1070.** The 35 mathematical and source reconstruction checks passed without any arithmetic, rank, regenerator or phase-policy correction.

The review read all26 journal records, the relevant execution scripts, the new `covenant_model.py`, emitted model files, and the bound File60/61/62 source packet. It independently compared the model with the prior exact-affine preparation and its source-only reproduction. All source hashes and emitted artifact bindings inspected remain valid. `review_c1032_c1057.py` reproduces the review without invoking a numbered-step writer; `INDEPENDENT_C1032_C1057.json` stores the results.

## Scope qualification resolved at C1070

C1034's calculation adds215 to Q **and** T, translating every coordinate. Its terminal therefore moves1406→1621. This is a valid formal change of coordinate frame and verifies translation covariance. Its finding should not call this the admitted MT Minimum→full-state operation: that source comparison shifts the applicable ancestral field while retaining the historical terminal.

The explicit clarification is sealed in `model/checkpoint_1070.json`, whose hash and byte count match the C1070 journal binding. It calls C1034 **formal covariance only** and states that the admitted Minimum-to-full-state change retains the terminal. The original C1034 record is preserved. The arithmetic and rank 11 result remain correct, and no unresolved correction remains.

## Domain findings

| Steps | Independent result |
|---|---|
|C1032–1034| The19 source-local inputs match the frozen source packet exactly. All12 regular nodes reproduce. Generated161/161/299/276 are absent as input fields. The twelve-coordinate incidence matrix has rank12, determinant+1 in the root's row order, and an exact integer inverse. The preparation's determinant−1 reflects a different row ordering; both are unimodular. Relative rank11 is correct. |
|C1035–1039| The two147 equations, separate equal137 premise, twin-arm terminal condition and Joseph294 condition agree with the source. The full13-coefficient identity A9=−A2+A3+A4+A5 holds. Joseph's condition raises rank4→5 under the declared variable model. |
|C1040–1043| The generated radii are u=299 for Levi and w=276 for Joseph. The two transformed points equal1566, and pointE−pointJ=−25/299(13w−12u). The cycle adds rank5→6. The complete nine-row matrix equals the independent affine matrix, has rank8, and the first eight rows form a basis. |
|C1042|25A8−2A7=21L_A−25L_J holds coefficient by coefficient. With175/147 fixed the right side is zero, making the radius conditions equivalent. This qualification is essential: the rank8 analysis otherwise treats those lifespans as variable source parameters. |
|C1044–1047| The normalized ranks8→9→10→11 are correct. Both displayed null vectors annihilate the complete normalized matrix and change the reported local nodes as stated. The source qI=1 and xJ=60 close the rank to13. A generated common-point variable contributes one definition and one agreement condition, not two independent source equalities. |
|C1048–1050| The42 rows exactly implement b_i+jp−kh and have rank9 with33 independent linear output dependencies. The selected observation basis has determinant−1. Removing the entire Aaron phase, all shifts, or a complete genealogical row gives rank8 in the unconstrained model. The phase relation h=2p and repeated137 relation are independent; imposing both leaves dimension7. |
|C1051–1054| All seven cumulative bases and all42 phase/clutch coordinates reproduce from source-local inputs. The derived d14/h7 are not separately fitted. The maximum-envelope subtraction cancels Exodus and gives d=C_Kohath−regular Levi death. The adjacent Levi join is a19-parameter identity through the shared lifespan. The Jacob/Isaac residual equals−A1 in all19 coefficients. |
|C1055–1056| The seven translated offsets from regular Levi death are639,464,284,137,0,−133,−270. Recomputing source-derived d cancels the original Moses anchor from all seven translated coordinates. Keeping that Nisan-derived d preserves the exact3.5 phase. Recomputing a separate full clutch to the same regular landing cancels the phase in the fully translated rail, as the diagnostic states. |
|C1057| The55-output coupled model has rank19 over its19 declared source-local parameters. The19-input packet includes no free clutch parameter. Covenant2081 remains author-designated; offering2051/Isaac age15 remains proposed; whole-year1936 remains distinct from1936.5 exact. |

## Interpretation controls

These ranks describe an explicit variable parameterization. They do not count historically independent observations, determine probability, or prove a globally shortest model. The source-local qI/qX offsets inherit the author's Covenant placement and are not asserted to be independent biblical age statements.

The exact h=2p relation is a constraint on an otherwise variable array. It should not be confused with separately fixing p=3.5 and h=7 numerically, which would impose two fixed-value conditions. The whole-year phase3 yields h−2p=1 and requires its own display policy.

The cancellation experiment at C1056 concerns the full-clutch seven-node rail. A separately recomputed half-clutch would behave differently; no such source operation is being adopted. The source correctly uses one Nisan-derived clutch across all phases.

The two forced joins remain mathematically informative because they reveal how the source construction works. Their dependent status limits an inference of multiple independent confirmations. The next Jacob→Isaac join contributes the already isolated147 condition, explaining how the Covenant and cumulative families connect through shared source information.