C250 — The closing member and full-week residual remain excluded

23 September 2026 · Step 45 of 60, continuing C205.

At native Creation 4414 and interior Conquest 1405, the double-expanded endpoint is 2461 and lacks source support. Pairing the same Creation closing member with Conquest 1406 instead gives 5820=11K+1; after two expansions its excess is 625/529, not an integer correction.

C09’s separately conditional compressed origin 4413 would give a 6875 output at 2462, also absent from the held event register. The current six-row result needs neither that compression nor an extended Creation week. All three boundary cases remain explicitly separate.

Evidence and scope

K=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.

Regular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.

7 step-specific checks and 19 frozen-input checks passed. Exact inputs, results and predecessor hashes are in the accompanying JSON records; calculation code is in the evidence archive. Source dependencies are identified in the body and frozen in sources/.