490d C320 — Complete17K rectangle census
24 September 2026. Step 7 of the ten-step authorization C314–C323.
The complete held-field census finds six coordinate rectangles, carrying nine source-labelled same-context pairs. All528 existing regular records were tested at both translated endpoint requirements for each of eight cumulative LXX_OFF Shem/Flood pairs:8448 endpoint-record comparisons.
| i | Regular Flood /Noah, BC | Admitted complete labels | C287 complete | Reversed SP500 target |
|---|---|---|---|---|
| 0 | 3103 /3703 | None | No | Not applicable |
| 1 | 3104 /3704 | None | No | Not applicable |
| 2 | 3105 /3705 | SPG1 companion, Flood close | Yes | Needs absentj8 |
| 3 | 3106 /3706 | SPG1 primary; LXXG1, Flood start | Yes | j7 admitted |
| 4 | 3107 /3707 | SPG2 companion, Flood close | Yes | j6 admitted |
| 5 | 3108 /3708 | SPG2 primary; LXXG2, Flood start | Yes | j5 admitted |
| 6 | 3109 /3709 | SPG3 companion, Flood close | No | j4 admitted |
| 7 | 3110 /3710 | SPG3 primary; LXXG3, Flood start | No | j3 admitted |
Every complete pair is CainanOFF/Terah0/full430, discovered from the full context register rather than assumed by the match. There are six SP pairs and three LXX primary pairs, no MT pairs in this particular source field. All nine labelled pairs preserve600 and17K at both phases, representing12 coordinate phase rectangles. Twelve Flood endpoint labels exist, but the three LXX closes have no matched600-year LXX Noah counterpart; no LXX companion is created.
The six SP pairs agree with C271's recorded ancestry and each has a valid source500-year Noah→Shem partner. The omitted G1 companion is Noah3705→Shem3205→Flood close3105, with Shem death2605. Its source biography and C287i2 configuration are valid. Only the reversed C314 construction fails:3205=3213−j requiresj8, outside the frozen0…7 field. This explains the five-case restriction without declaring a source biography invalid.
LXX aliases retain their own nativeON-to-derivedOFF provenance and distinct tradition labels. Co-location is not a second independent historical witness, a new source event or permission to import SP companions. The census's empty positions and unmatched endpoints remain explicit.
Verification and limits
77 main assertions and 15 frozen-input/predecessor checks passed. A second main replay produced byte-identical DATA and RESULTS. Separate review scope and agreement are recorded in the evidence. All frozen originals and standing controls remain unchanged. These are verification counts, not independent-witness counts.
Finite exhaustive census onlywithinretainedfields. Endpointaliases andlabelcounts are notindependentwitnesses; source and derivedOFFprovenance remain separate.
Mirror/529 remains the focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction x=1 January AD2; no civil year zero. Regular Gears remain Noah/Shem/Flood only. SP minus-one companion is local to SP Noah/Shem. No cumulative/upstream Gear, new endpoint or phase, fitted anchor, global axis, z-law, canonical or graph edit. Capture now; canonize later. Source state, event identity, generated coordinate and phase ancestry remain distinct. Exact arithmetic and source membership do not establish intention or independent historical witnesses.
Decision after this result
C321, proposed and unexecuted: Test the source-state counterpart of the complete600 rectangle: use the existing nativeLXX_ON Shem/Flood pairs and unchanged17K against the same regular register. Compare any admitted endpoints to theOFF family through the explicitly supported460 cumulative and restored-MT source changes.
C318 established matching460 ingredients before the two-year choices. A complete nativeON counterpart test can show whether those changes carry wholeNoah/Flood rectangles, and whether primary/companion boundaries survive, without choosing a new bridge or anchor.