# 490d Mirror checkpoint after C342

24 September2026. **C342 complete; C343 unexecuted.** 1 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

The ladder derives from650,500,600 and192=130+60+2. Its full source criterion is equivalent to C332’s primary950+108/490 criteria in C319:02 and22 at i3/i5 remain. Thus it does not select cumulative a;two17K remains an additional condition. Scalar/C89 prior art and File46 general licensing are retained.



## 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 Corrected LXX8464 supplement remains awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 is superseded.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

96 main checks and 23 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

C343: Complete C343 as the synthesis and recovery step: consolidate C334–C342, verify all sealed evidence packets and predecessor links, and publish the final reading index, checkpoint, compact restart kit, continuation archive and integrity record. Do not execute C344.

The bounded source, sign, pair, factorization, expansion, modal, death, phase and dependency questions have been answered. Consolidation and recovery are now the best use of the last authorized step.

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