# 490d C424–C433 reading index and restart guide

**All ten steps are complete. C434 is unexecuted.** 24 September 2026.

Read the C433 synthesis and checkpoint first. Use the C433 compact restart kit as the active packet. The continuation archive contains all ten sealed packets and all30 individual deliverables. Older archives remain selective references; current decisions override their old next-step instructions.

## Main advances

The complete regular2K inventory reduces to four source-context offsets:458,708,1057 and1059. Separate role and local companion terms make each1058. One coordinate alias at2240 accounts for the sole overlap between templates. The full fixed17K census adds no Mirror branch: all four rectangles remain the old C287 i2–i5.

The strongest positive result is a new source-qualified factorization: **2148→2020→1956**, using E pivots **3620 then2756**. Its whole map equals squared-E about3206. The gaps expand64×23→64×25 and32×23→32×25, giving **128+64=192**. The fixed-pivot2056 intermediate is still absent; the new path uses2020.

| Function | Coordinate | Source qualification |
|---|---:|---|
| Input |2148|MT Shem death G2/C1/T1/F1|
| First pivot |3620|SP companion Noah birth G1/C1/T0/F0|
| Intermediate |2020|MT Shem death G3/C0/T1/F1|
| Second pivot |2756|SP primary or LXX-OFF Noah death G1/C0/T0/F1|
| Output |1956|MT Shem death G1/C0/T0/F1|

The actual pivots cross contexts; their own Noah biographies retain950. The+2 counterpart lacks2022, and fixed quarter components fail. The result is a sourced affine factorization, not an established prescription for one combined chronology.

## Read first

- [490d_C433_Four_Source_Templates_and_the_128_Plus_64_Factorization_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C433_Four_Source_Templates_and_the_128_Plus_64_Factorization_20260924.md)
- [490d_Mirror_Checkpoint_After_C433_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C433_20260924.md)

## Ten-step report and evidence locator

| Step | Report | Checkpoint | Evidence |
|---|---|---|---|
|C424|[490d_C424_Sixteen_Flood_Start_Noah_Death_2K_Pairs_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C424_Sixteen_Flood_Start_Noah_Death_2K_Pairs_20260924.md)|[490d_Mirror_Checkpoint_After_C424_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C424_20260924.md)|[490d_C424_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C424_Evidence_20260924.zip)|
|C425|[490d_C425_Source_Equation_for_the_708_Plus_350_Class_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C425_Source_Equation_for_the_708_Plus_350_Class_20260924.md)|[490d_Mirror_Checkpoint_After_C425_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C425_20260924.md)|[490d_C425_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C425_Evidence_20260924.zip)|
|C426|[490d_C426_Four_Context_Templates_of_the_Complete_2K_Census_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C426_Four_Context_Templates_of_the_Complete_2K_Census_20260924.md)|[490d_Mirror_Checkpoint_After_C426_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C426_20260924.md)|[490d_C426_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C426_Evidence_20260924.zip)|
|C427|[490d_C427_MT_Coordinate_Coincidence_Behind_the_Template_Overlap_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C427_MT_Coordinate_Coincidence_Behind_the_Template_Overlap_20260924.md)|[490d_Mirror_Checkpoint_After_C427_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C427_20260924.md)|[490d_C427_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C427_Evidence_20260924.zip)|
|C428|[490d_C428_Complete_Fixed_17K_Joins_of_the_2K_Census_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C428_Complete_Fixed_17K_Joins_of_the_2K_Census_20260924.md)|[490d_Mirror_Checkpoint_After_C428_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C428_20260924.md)|[490d_C428_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C428_Evidence_20260924.zip)|
|C429|[490d_C429_Complete_Harmonic_Endpoints_of_All_Source_2K_Pairs_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C429_Complete_Harmonic_Endpoints_of_All_Source_2K_Pairs_20260924.md)|[490d_Mirror_Checkpoint_After_C429_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C429_20260924.md)|[490d_C429_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C429_Evidence_20260924.zip)|
|C430|[490d_C430_Source_Rules_and_Gear_Boundary_of_Flood_Held_E_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C430_Source_Rules_and_Gear_Boundary_of_Flood_Held_E_20260924.md)|[490d_Mirror_Checkpoint_After_C430_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C430_20260924.md)|[490d_C430_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C430_Evidence_20260924.zip)|
|C431|[490d_C431_All_Sourced_Realizations_of_Thirteen_Squared_E_Maps_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C431_All_Sourced_Realizations_of_Thirteen_Squared_E_Maps_20260924.md)|[490d_Mirror_Checkpoint_After_C431_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C431_20260924.md)|[490d_C431_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C431_Evidence_20260924.zip)|
|C432|[490d_C432_Source_Audit_of_the_128_Plus_64_Factorization_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C432_Source_Audit_of_the_128_Plus_64_Factorization_20260924.md)|[490d_Mirror_Checkpoint_After_C432_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C432_20260924.md)|[490d_C432_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C432_Evidence_20260924.zip)|
|C433|[490d_C433_Four_Source_Templates_and_the_128_Plus_64_Factorization_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C433_Four_Source_Templates_and_the_128_Plus_64_Factorization_20260924.md)|[490d_Mirror_Checkpoint_After_C433_20260924.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C433_20260924.md)|[490d_C433_Evidence_20260924.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C433_Evidence_20260924.zip)|

## Scientific checkpoint

C424–C433 complete. The46 labelled regular2K pairs at26 coordinate pairs reduce to four context offsets:458,708,1057,1059, with separate role and local companion terms. The Flood-start/Noah-death class is1058=350+650+60−2 and has16 labels/eight coordinates; it adds no second2K station within its fixed contexts. The sole coordinate-template overlap3298/2240 comes from distinct MT Noah-death and Flood-close contexts;349=130+215+4 also produces2300, whose required2K upper3358 is absent. All156 fixed17K join trials recover only existing C287 i2–i5, all in the458 template; companion rectangles do not remove narrower primary operator qualifications. The104 fixed-upper E/E²/P/J tests have13 sourced E and13 sourced E² outputs, no P/J outputs and four complete fixed-pivot Noah ladders. Nine Flood-held E coordinate arrows have20 labelled realizations: two two-Gear input families meet at2240, while the three-Gear strip uses Noah death2238, Noah death/Flood close2240, and Flood close2242, with Shem-death outputs2146/2148/2150. No Gear4 is admitted. The all-pivot squared-E search gives39 sourced pivot-pair solutions and five sourced coordinate paths. One is new:2148→2020→1956, using pivots3620 then2756, exactly the held3206 squared-E map. Its64×23→64×25 and32×23→32×25 legs give128+64=192. Pivot3620 is SP companion Noah birth G1/C1/T0/F0;2756 is SP-primary or LXX-OFF Noah death G1/C0/T0/F1. The stations are different MT Shem-death states G2→G3→G1. Their own Noah biographies remain950; pivot separation864 crosses contexts. The fixed3206 intermediate2056 remains absent. The+2 target still lacks2022; eight other endpoint-only squared-E maps remain unrepaired. Nine current source cards reconstruct18 relevant records; fixed quarter components do not follow the two fixed pivots, although jointly shifted comparisons remain exact. No combined source prescription, new phase, global529/Mirror action or canonical edit is established.

## Restart and standing scope

Latest completed C433. C434 is proposed and unexecuted, outside this completed authorization. Use the C433 compact restart kit as the active packet; read synthesis/checkpoint then the C424–C433 locator. Preserve C423 and older checkpoints as selective references, with their historical next-step paragraphs superseded. The important new positive result is the sourced varying-pivot factorization2148→2020→1956 about3620 then2756, equal to E² about3206. It replaces neither the missing fixed-pivot2056 nor the absent+2 intermediate2022. Its two source-labelled versions differ only in the second pivot SP-primary/LXX-OFF label. The pivots cross contexts and are not one864-year Noah biography. The four source-context templates and the sole2240 alias explain the complete2K census; all fixed17K joins remain old C287 i2–i5. The Flood-held E strip uses two overlapping two-Gear input families, not a Gear4 Noah or one unchanged three-Gear input role. The larger C431 pivot menu is distinct from earlier restricted return-graph searches; their negative results retain their stated scopes. Keep source points, roles, rails, variants, Gear bindings, generated coordinates and quarter ancestry distinct. Regular Gears Noah/Shem/Flood only; SP person companions local; Flood close independent; SP primary Noah death inclusive/harmonic; both500/100 and502/98 valid; LXX native CainanON and theoretical OFF distinct. K529, E25/23, P70/69; J300/299 is File02 gap conversion, not Residue Protocol or a global calendar operator. Global paired Mirror January AD1, local junction January AD2, no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical graph edit. Corrected LXX8464 supplement stays awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. C-series reports, original unprefixed reports and Engine reports remain distinct. The earlier incomplete September17 local ZIP differs from the subsequently verified intact original. Repeated coordinates, labels and verification implementations are not independent historical witnesses. Proposed C434 tests whether the existing Noah950, Noah–Shem500 and sojourn/Cainan/SP-companion context shift explain the new factorization through one source formula, then checks its finite Gear/Terah family without fitting pivots. That derivation and family census have not been executed in this batch.

## Best next bounded step — unexecuted

Test whether one source formula built from Noah950, the Noah–Shem500 relation, and the existing sojourn/Cainan/SP-companion context shift explains the new128+64 factorization. Then census its finite Gear/Terah family while requiring every pivot and intermediate to remain sourced, without fitting another anchor.

The authorization ends at C433. C434 requires a new instruction.

## Verification and portable access

All30 individual deliverables were published incrementally. All ten sealed ZIPs passed CRC, payload hashes/sizes, certificate bindings and predecessor-chain checks. Isolated replay reproduced20/20 main DATA/RESULTS outputs and the C433 secondary-method output. 13404 calculation checks, 192 source/predecessor authentication checks and 719 separate root-method checks passed. Verification counts are not independent historical witnesses; no new independent-agent review is claimed.

The compact kit contains complete C426, C428, C429, C430, C431, C432 and C433 packets. C433 freezes certificates, DATA/RESULTS and next-step decisions for all nine predecessors, including the omitted full C424/C425/C427 packets. Their full packets are in the continuation archive. Both recovery packages contain the intact C423 packet under `reference/C423`, with its earlier context and frozen dependencies. Its historical next-step instructions are superseded. The C265 checkpoint/certificate and controlling File_18/File_09/File_02/File_46/File_11 are included among C433 sources.

Portable main replay in the compact kit: `python3 C433/evidence/check.py --out replay`. Compare DATA.json and RESULTS.json with C433/evidence/. Additional implementation: `python3 C433/evidence/ROOT_SECOND_METHOD.py --sources C433/sources --out secondary_replay`. Compare ROOT_SECOND_METHOD_RESULTS.json with its archived evidence copy. In the continuation archive prefix the packet paths with `steps/`. Python3 standard library only.

The continuation archive has extracted packets under `steps/`, all30 individual deliverables under `published/`, and generation/audit provenance. PACKAGE_MANIFEST.json records every payload size and hash. The separate completion/integrity JSON records the recovery ZIP hashes and the successful individual-publication receipts.

Actual File_18/File_09 bytes match their retained controlling hashes. File_02/File_46/File_11 and the cumulative register match the C423 frozen manifest. The C265 checkpoint remains readable with its retained certificate hash. Standing source and canonical controls are unchanged. Original unprefixed reports, Engine reports and the C-series remain distinct; current work did not reread every historical report.