490d C461 — Fixed Mirror Images of the Complete 529 Pair Inventory
25 September 2026 UTC. Step 17 of 25, C445–C469.
The120 fixed-Mirror pair trials yield five complete images, all2K intervals: four atA−2639 and one atA−2635. Exactly two have17K cross-spans, reproducing2648/3706↔−6345/−5287 and2650/3708↔−6343/−5285. The other three have8991,8995 and8997 cross-spans.
| Fixed A | Regular pair | Cumulative pair | Equal cross-spans |
|---|---|---|---|
| -2639 | [2647, 3705] | [-6344, -5286] | 8991 |
| -2639 | [2648, 3706] | [-6345, -5287] | 8993 |
| -2639 | [2649, 3707] | [-6346, -5288] | 8995 |
| -2639 | [2650, 3708] | [-6347, -5289] | 8997 |
| -2635 | [2650, 3708] | [-6343, -5285] | 8993 |
For an ordered regular pair x<y and fixed exchangeX_A(x)=A−x, the sorted cumulative image is(A−y,A−x). Its interval equals y−x automatically. The two cross-spans are both x+y−A. Therefore retaining a2K interval does not by itself retain a17K cross-span.
All34 one-K source pairs fail the double-endpoint cumulative-source test under these two exchanges. Only four distinct regular2K pairs appear among the five successful slots. Both original positive controls remain intact.
The cumulative domain is the separately frozen48-record LXX Noah/Shem/Flood menu. Its annual indices are not regular Gears. The next check must compare the actual inherited annual-row assignments: a pair of available coordinates under a fixed exchange need not have the same phase ancestry as its original C287 corner.
Verification and scope
120 calculation checks and 22 source/predecessor authentication checks passed. Main result files replay byte for byte. These are root-agent checks, not an independent-agent review or independent historical witnesses.
The two fixed exchanges are the complete active Mirror menu in this test. This does not claim that only two17K rows existed in earlier work; C287 is checked next without fitting replacement constants.
Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses.
Best next bounded step
C462, proposed and unexecuted: Compare the five fixed-exchange images with the complete archived C287 annual-row assignments, derive the condition for17K cross-spans, and distinguish inherited phase matches from coordinate-only images.
The fixed constants preserve interval width but can pair different annual slots. Reviewing the C287 row identities is necessary before calling any additional sourced image an inherited17K corner.