# 490d Mirror checkpoint after C336

24 September2026. **C336 complete; C337 unexecuted.** 7 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

Whole native-ON cumulative pairs retain600 under annual+2. Whole restored-MT pairs retain600/start or601/close under Gear+1. Holding OFF-Flood or old MT Noah creates the1058 and598/599 comparisons, respectively; no source biography is changed.



## Retained context

C333 remains the completed predecessor synthesis. All four C287 SP paths support 2K=1058=950+108 through actual source-qualified SP Noah death. Primary partitions are 460+490+108; companion partitions are 459+491+108 with actual MT Noah. The primary death keeps its inclusive/harmonic qualification. C332 death conditions retain 02 and 22 at i3/i5; adding two17K conditionally selects22. C319's i3…7 control slice does not replace C287's complete i2…5 domain. C314 reversal requires i+j=10 with opposite cumulative ancestry phases; C313/C315 same-ancestry failures remain. C323's optional combined support criteria alone isolate i=j5. Source-explicit local E expansion prescriptions are retained, with no established link to the particular regular SP→MT context translation. Named500/100 and502/98 bindings remain distinct. Repeated source coordinates, phases and verification counts are not independent witnesses. Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 is superseded. The earlier incomplete September17 local ZIP differs from the later verified intact original. C-series, original unprefixed reports and Engine reports 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

29 main checks and 17 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

## Best next bounded step

C337: Factor the existing left and right2K conditions into their source selectors. Derive necessary and sufficient conditions within the already frozen cumulative ON/OFF and regular Cainan/Terah/Gear/rail domains; reconcile the factorization with C287 rather than repeating its census.

C336 shows exactly which held partners create each shortened span. A source-labelled factorization can reveal which choices 2K actually determines and which coupling remains additional.

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