C157 — The 868 alignment occupies seven pairs of two source fields
23 September 2026 · Step 2 of 50, continuing C155.
Exactly seven pairs in the two retained eight-member fields have the 868 separation. This is an analytic diagonal intersection, not an expansion of the historical graph.
| Cumulative OFF D | Native Creation b | e | h |
|---|---|---|---|
| 5283 | 4415 | -2 | 1 |
| 5284 | 4416 | -1 | 2 |
| 5285 | 4417 | 0 | 3 |
| 5286 | 4418 | 1 | 4 |
| 5287 | 4419 | 2 | 5 |
| 5288 | 4420 | 3 | 6 |
| 5289 | 4421 | 4 | 7 |
The relation h=e+3 selects e=−2,…,4 and h=1,…,7. The upper cumulative member 5290 would require Creation 4422, beyond the fixed native field. The closing Creation member 4414 would require cumulative 5282, beyond its field.
These exclusions precede the Noah, Conquest and 529-square requirements. The seven count therefore measures the source extent of one selected gap, not seven complete Mirror constructions. The gap relation can be tested directly from source coordinates and remains conditional on which two members are paired.
Evidence and scope
K=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.
Regular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.
Sources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. 22 assertions passed; see RESULTS.json and CERTIFICATE.json. Assertions, selected field combinations and inherited identities are not independent historical witness counts.