# 490d C435–C444 reading index

25 September 2026 UTC. **All ten steps are complete. C445 is unexecuted.** The user authorized these ten steps; no later step is included.

Read the C444 synthesis and checkpoint first. Use the C444 compact restart kit as the active packet. The continuation archive preserves every full step packet and all30 individual deliverables. Earlier archives remain selective references; current decisions override frozen historical next-step paragraphs.

The main advance is a source-derived local reflection profile about the existing MT Noah3188 record, with radii432 and18. Six source classes account for the complete finite reflection inventory. The E conjugacy and original fixed Mirror connection have explicit source limits; no global axis or calendar operation is added.

| Step | Report | Checkpoint | Evidence |
|---|---|---|---|
| C435 | [490d_C435_Six_Pivot_Pairs_Complete_Input_Census_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C435_Six_Pivot_Pairs_Complete_Input_Census_20260925.md) | [490d_Mirror_Checkpoint_After_C435_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C435_20260925.md) | [490d_C435_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C435_Evidence_20260925.zip) |
| C436 | [490d_C436_Source_Audit_of_the_Shem_Flood_Return_Loop_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C436_Source_Audit_of_the_Shem_Flood_Return_Loop_20260925.md) | [490d_Mirror_Checkpoint_After_C436_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C436_20260925.md) | [490d_C436_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C436_Evidence_20260925.zip) |
| C437 | [490d_C437_Source_Census_of_the_432_and_18_Midpoint_Profile_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C437_Source_Census_of_the_432_and_18_Midpoint_Profile_20260925.md) | [490d_Mirror_Checkpoint_After_C437_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C437_20260925.md) | [490d_C437_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C437_Evidence_20260925.zip) |
| C438 | [490d_C438_Four_Local_Reflection_Source_Domains_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C438_Four_Local_Reflection_Source_Domains_20260925.md) | [490d_Mirror_Checkpoint_After_C438_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C438_20260925.md) | [490d_C438_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C438_Evidence_20260925.zip) |
| C439 | [490d_C439_Noah_Birth_Death_Reflection_Complement_Rule_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C439_Noah_Birth_Death_Reflection_Complement_Rule_20260925.md) | [490d_Mirror_Checkpoint_After_C439_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C439_20260925.md) | [490d_C439_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C439_Evidence_20260925.zip) |
| C440 | [490d_C440_Opposed_500_Transport_of_Reflection_Classes_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C440_Opposed_500_Transport_of_Reflection_Classes_20260925.md) | [490d_Mirror_Checkpoint_After_C440_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C440_20260925.md) | [490d_C440_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C440_Evidence_20260925.zip) |
| C441 | [490d_C441_Complete_Local_Reflection_Source_Grammar_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C441_Complete_Local_Reflection_Source_Grammar_20260925.md) | [490d_Mirror_Checkpoint_After_C441_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C441_20260925.md) | [490d_C441_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C441_Evidence_20260925.zip) |
| C442 | [490d_C442_Reflection_Conjugacy_and_Reversed_E_Source_Bounds_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C442_Reflection_Conjugacy_and_Reversed_E_Source_Bounds_20260925.md) | [490d_Mirror_Checkpoint_After_C442_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C442_20260925.md) | [490d_C442_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C442_Evidence_20260925.zip) |
| C443 | [490d_C443_Fixed_Mirror_Test_of_Local_Reflection_Domains_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C443_Fixed_Mirror_Test_of_Local_Reflection_Domains_20260925.md) | [490d_Mirror_Checkpoint_After_C443_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C443_20260925.md) | [490d_C443_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C443_Evidence_20260925.zip) |
| C444 | [490d_C444_Local_Reflection_Grammar_and_E_Mirror_Boundaries_Synthesis_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C444_Local_Reflection_Grammar_and_E_Mirror_Boundaries_Synthesis_20260925.md) | [490d_Mirror_Checkpoint_After_C444_20260925.md](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_Mirror_Checkpoint_After_C444_20260925.md) | [490d_C444_Evidence_20260925.zip](sandbox:/workspace/scratch/2cd312e78692/deliverables/490d_C444_Evidence_20260925.zip) |


## Result locator

**C435 — Complete Input Census for the Six Source-Derived Pivot Pairs.** All2238 six-map/input trials yield23 sourced first-leg outputs,10 integer final outputs,8 sourced final outputs and two complete coordinate paths: old2148→2020→1956 and additional3206→3170→3206, both withp3620/q2756. The loop has signed gaps414/−414 and changes36/−36, with SP/LXX-OFF Shem-birth endpoints and SP/LXX-OFF Flood-start intermediate. Its16 Cartesian label assignments are not yet16 same-record returns.

**C436 — Source Identity and Direction of the Shem–Flood Return Loop.** The3206→3170→3206 loop has16 Cartesian labels:8 same-record returns and8 SP/LXX alias switches; one all-SP assignment and zero unchanged-context assignments. Source36=100−60−4. Signed gaps414→450 and−414→−450 establish a mixed-direction fixed-point return, not chronological repetition. Both pivot and station pairs share3188, already MT Noah birthG2/C1/T0/F1, with radii432 and18 (ratio24).

**C437 — Finite Source Census of the 432 and 18 Midpoint Profile.** Six derived c=N−518 profiles yield four sourced MT Noah centers3188,3190,3248,3250;3192/3252 require unavailableGear4. Onlyc3188 has all five points c±432,c±18,c. Source offsets are650−215−1−2=432;650−500−130−2=18;650−600−130+60+2=−18;650−950−130−2=−432. The ratio450/414=25/23 follows from432:18=24:1.

**C438 — Complete Regular Source Domains of Four Local Reflections.** All1492 local-reflection trials at3188/3190/3248/3250 yield maximal source domains61/67/19/61,106 coordinate orbits including4 fixed centers,258 unoriented labelled pairs and512 directed label pairings. Original432/18 pairs survive; additional Noah/Shem/Flood role exchanges occur. All four reflections remain partial on the373-coordinate domain; no global Mirror or full group action is inferred.

**C439 — Source Complement Rule for Noah Birth–Death Reflections.** All36864 Noah-birth/death reflection trials reduce exactly to one rule: SP/LXX endpoints, Cainan sum1, sojourn sum1, equal referenceTerah, Gear sum2g and exactly one SP companion. The unique bounded sum equation is6032+344=2×3188 with344=130+215−1. Counts bycenter are8/24/8/24 coordinate pairs and16/48/16/48 labels, totaling64/128. MT endpoints are excluded by maximum sum6200<6376.

**C440 — Opposed 500-Year Transport of Two Reflection Classes.** Opposed500 shifts Noah birth→Shem birth (−500) and Shem death→Flood start/close (+500) biject all16 coordinate pairs of the two reflection classes.40 source-label pairs yield40 tradition-preserving targets within48 target labels; the extra8 are LXX Flood-close aliases, not LXX companions. Four bounded context-sum templates classify the source class. One pair atc3250 reverses coordinate order:3705/2795→3205/3295.

**C441 — Complete Source Grammar of the Four Local Reflection Domains.** Six source classes partition all258 labelled reflection pairs:Noah complement128;Noah/Shem40;Shem/Flood48;Flood boundaries32;Noah/Flood alias4;MT Noah Gears6. Their112 coordinate memberships reduce to106 orbits through six explicit role-alias overlaps. Residual Flood rule usesC1/T1, complementaryF and boundedGear sums; two600-year Noah-companion/Flood-close pairs overlap Noah-death labels via349=130+215+4; MT centerG2 exchangesG1/G3, whileG3 only fixes itself.

**C442 — Source Bounds of Reflection Conjugacy and Reversed E Order.** Reflection conjugacy R_cE_pR_c=E_q holds exactly, while forward/reverse two-E words fixc±18 and differ by−3456/529. All1492 reversed trials yield only3170→3206→3170 atc3188. Reflection of2148→2020→1956 is4228→4356→4420, all outside the fixed source range. Only five primitive reflected pairs survive:four zero-gap pivot arrows and one nonzero loop leg. Reversed integer outputs satisfyx≡c−18 mod529.

**C443 — Fixed Mirror Test of the Local Reflection Domains.** Under inherited exchanges−2639−x/−2635−x, originali3/i5 positive controls retain17K. The four local reflection domains give416 slot trials with37 LXX cumulative source memberships, and212 orbit trials with5 complete images (4fixed). The only nonfixed image is MT Noah3246/3250→LXX-OFF Shem−5885/−5889 under−2639, a4-year pair. All16 images of the3188 core and two-E path stations are absent from the fixed48-record LXX cumulative menu. No new cumulative Gear or Mirror closure follows.

**C444 — Local Reflection Source Grammar and its E/Mirror Boundary.** C435–C444 complete. The source-derived E factorization has one additional mixed-direction loop3206→3170→3206, centered with its pivots on existing MT Noah3188 at radii18/432=1/24. Four sourced centers support partial reflection domains61/67/19/61. Six source classes partition258 labelled pairs/106 coordinate orbits; Noah complements and opposed500 transport supply the main reductions, with explicit SP/Flood aliases. Reflection conjugacy is exact, but only the zero-net loop is sourced in both E orders; the reflected2K path4228/4356/4420 is absent. The fixed Mirror retains one4-year MT Noah/LXX-OFF Shem pair but no image of the core profile in the frozen cumulative menu. All10 steps verified and preserved; C445 unexecuted.


## Verification and source access

All30 individual deliverables were saved successfully. The sealed audit verifies319 payloads,122 certificate bindings,187 frozen source-file entries, ten predecessor links and all ten ZIPs. There are7,383 main calculation checks,237 authentication checks and164 alternate-method checks. These counts are verification work, not historical witnesses or an independent-agent review.

File_18 and File_09 retain their controlling hashes. The frozen528-record regular source register has373 coordinates. The C443 Mirror comparison uses the separately declared48-record LXX cumulative register; its negative claims are limited to that menu. The C265 checkpoint and certificate remain readable in the C444 sources. C434, including the supplemental SKL observation, is preserved intact as a baseline evidence ZIP.

C432’s E excerpt locator correction remains in force: File_46 L3, lines117–133 in the frozen source, supplies25/23. Earlier calculations already used25/23. The corrected LXX8464 and SKL observations remain supplemental.

Regular Gears remain Noah/Shem/Flood only. Source aliases, SP companions, Flood boundaries, LXX native/OFF states and seasonal qualifications remain distinct. Capture now; canonize later. No canonical graph changes or primer reopening occurred.


## Best next bounded step

**C445, proposed and unexecuted:** Census all ordered compositions of the four fixed local reflections over373 existing source inputs, requiring sourced intermediate and output records. Reduce the resulting partial maps to source-qualified translations and retain role/context identity. The finite menu is4×4×373=5968 trials; no new center or coordinate is introduced.

The reflection source grammar and E/Mirror limits are now complete for the tested menu. The strongest remaining question is whether these partial reflections compose into a coherent finite source relation; formal affine composition alone cannot establish that domain.