# 490d Mirror checkpoint after C327

24 September2026. **C327 complete; C328 unexecuted.** 6 steps remain in the current authorization. Read this checkpoint and report first; frozen predecessor records retain earlier findings. Current decisions override stale archive instructions. Do not repeat completed research.

## Current result

All 75 source-role pairs yield18 positive residuals:40,140,490,640 from full spans500,600,950,1100. The source-qualified Noah950=460+490 is a consequence of the admitted context translation; no new E path is established.

The complete census finds **18 positive residual intervals**, comprising six event-role pairs repeated across three Gears. The remaining 57 ordered pairs are negative; none is zero. Every endpoint was already admitted in C322.

Let A be an SP endpoint, B its MT same-role counterpart, and C another SP endpoint in the same Gear. A−B=460, so B−C=(A−C)−460. The positive partitions are:

| SP source interval A→C | Full duration | Residual MT B→SP C | Gear instances |
|---|---:|---:|---:|
| Noah birth→Shem birth | 500 | 40 | 3 |
| Noah birth→Flood start | 600 | 140 | 3 |
| Noah birth→Noah death | 950 | 490 | 3 |
| Noah birth→Shem death | 1100 | 640 | 3 |
| Shem birth→Shem death | 600 | 140 | 3 |
| Flood start→Shem death | 500 | 40 | 3 |

The qualified G1 Noah-lifespan partition is SP Noah birth 3706 → MT Noah birth 3246 → SP Noah death 2756 BC: **950=460+490**. The G1 Shem-lifespan partition is3206→2746→2606: **600=460+140**. Noah birth through Shem death is3706→3246→2606: **1100=460+640**. That 1100 is a cross-person interval, not a lifespan. Noah's SP primary death retains File_18's inclusive/harmonic qualification; the lower ordinary companion is not substituted.

All 75 ordered endpoint-role pairs and 600 independent quarter-phase triples are retained in the evidence. There are 150 exact partitions overall, of which 36 have positive residuals. Exact preservation requires equal physical offsets at the three vertices. The nearest negative residual is−10 (Shem birth→Noah death); the held quarter phases cannot change its sign. An excluded pattern is not an excluded source record.

The two 500 relations and the two 600 relations keep their distinct event meanings. In particular, Flood→Shem death is not a second Noah-begetting statement. The source contexts remain SP OFF/Terah0/full430 primary and MT restoredON/Terah60/full430, with same-Gear Noah-bound/Flood-bound500/100.

The prior-art lookup located C162's regular650−190=460 mechanism and C322's full source chains. It did not locate an explicit earlier report of these three named residual partitions within the inspected indexes and selected passages. Older cumulative460+30=490 and Noah→Flood600=110+490 constructions use different endpoints or operators. This is a bounded locator result, not a claim of repository-wide novelty. The current partitions follow from inherited source durations and translation; they do not add independent historical witnesses or prescribe an E expansion.


## Retained context

C323 remains the completed predecessor synthesis. Retain the six-coordinate OFF600 rectangle family and three nativeON/restored-MT primary counterparts; the full same-Gear Noah-bound SP→MT biography translates by460, with source textual502 a distinct binding. C314 reversal requires i+j=10 and opposite cumulative phases. C313/C315 same-ancestry500/600 failures remain. C287 full domain is i2…5. The paired+2 choices produce its all-K form, but the00 control also retains two17K paths. The optional combined support criteria alone isolate i=j5. No source-prescribed selector has been established. Corrected LXX8464 supplement remains awareness only (1564→1700;2484→2700;920→1000); AD3746/2300 is superseded. Earlier reports, original unprefixed reports and Engine series remain distinct.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

## Verification

678 main checks and 16 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. Independent review and its scope are recorded in the evidence. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

## Best next bounded step

C328: Test the same residual construction across the four already admitted MT Cainan/Terah contexts, holding SP OFF/Terah0 and full430 fixed. Which residuals depend on selecting restoredON/Terah60?

The positive490 relation is exact in the held context. Its source and interpretive force depend on whether that context is uniquely required or one admitted choice, so the next test varies only the existing two binary context switches.

Continue within the authorized batch, reassessing after the next completed result.