# 490d Mirror checkpoint after C418 24 September 2026. **C418 complete; C419 unexecuted.** 5 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 unique person2K profile gains a fifth station at SPclose3299/MTstart2241, yielding a shared500+100+350+150 partition. Like-named Flood boundaries differ1059 at selectedGears. All18 same-boundary comparisons across availableeventGears fail1058 by parity; three mixed-boundary hits exist but onlycloseG3/startG1 retainsbothselectedGears. Translation maps SPstart3300 to MTG2close2242, so it does not map a whole same-Gear Flood year. ## Earlier results in this batch **C414**: The complete373-coordinate census contains26 pairs exactly2K apart and46 original labelled endpoint pairings. Six pairs retain both endpoints after one−500 application; none survives two consecutive applications. The originali3/i5 cross-spans become8493 with cumulative corners fixed. **C415**: The six paired2K coordinate translations lift to10 continuous role-defined record comparisons. Nine of19 raw coordinate pairings fail label continuity; the separate C411 bridge adds none. The extra birth and mixed-Flood-boundary cases share upperSP-companionG3 C1/T1/F1 versus lowerMTG1 C0/T0/F0 contexts, motivating a whole-person-profile check. **C416**: One coherent SP-companionG3 C1/T1/F1 versus MTG1 C0/T0/F0 profile has four same-role2K pairs:3899/2841 Noahbirth,3399/2341 Shembirth,2949/1891 Noahdeath,2799/1741 Shemdeath. Translation−1058 preserves all six pairwise intervals, including Noah950 and Shem600. Its single source offset is650+130+60+215+4−1=1058; Flood boundaries and uniqueness remain separate. **C417**: All96 complete person contexts and4560 unordered pairs were tested without context preselection. Exactly one labelled same-role2K profile survives: SPcompG3 C1/T1/F1 versus MTG1 C0/T0/F0. There are24 zero-offset aliases and416 offset values. Replacing the chosen upper SPcomp by SPprimary or LXXnative gives1059. The four station matches share one context offset; finite uniqueness is not statistical independence. ## Retained context C404–C413 complete. The existing Noah-to-Shem E charts retain only the two sourced J arrows; required Shem E pivots3016/3018 and P pivots2853/2855 are absent. The fixed source500 correspondence succeeds: all12 labelled/six coordinate Noah E/J loops translate to Shem births/deaths, including both complete E/P/J graphs. The complete target graph has MT Shem2531,2533,2535, E pivots2556/2558, J death pivots1933/1935 and P death pivots2393/2395. Every path is conjugated byT(t)=t−500 with unchanged slope and circuit multipliers1750/(3K),7500/(13K). A direct2048-case Shem-family census recovers exactly those loops. The valid502/98 binding maps only originalG2–G3 to targetG1–G2; the other six labelled cases would require unavailableGear0. The older translated squared-E endpoints were already established inC361/C363; the new return paths cannot replace their missing2056/2058 intermediate. Three slope-compatible EE paths fail all six whole-map comparisons and48 phase comparisons; the closest discrepancy is−4/529. The existing Mirror corner exchanges admit none of104 reflected loop-record slots or208 inherited components. Translating the original regular2K side−500 preserves1058 but changes both17K cross-spans to8493. The full fixed−500 source-domain census has169 coordinate arrows,392 labelled pairings and141 maximal coordinate chains. A single extra coordinate bridge3395→2895 produces3895→3395→2895→2395→1895. Its formula100+405−4−1=500 forces all three variant differences, SP companionG1 and FloodG3. It has two continuous record lifts, choosing SP or LXX CainanOFF for the Flood/death pair; the sequence is not one biography. All528 regular records reconstruct from twelve current source excerpts. The new graphs and bridge remain derived comparisons; no new source endpoint, protocol prescription, canonical edit or global529/Mirror action is established. C394–C403 complete. The two primitive source E23→25 Noah comparisons have exact J return arrows at existing Flood pivots, but not P returns. A4096-trial coherent-family census, without529 or prior-PJ preselection, finds12 labelled E/J loops at six coordinate configurations. Two MT configurations also admit P returns and coincide with the lower-full430 common P/J repairs. Their shared G2 Noah source joins the two graphs into three vertices3031,3033,3035 and six operator arrows. Every admitted path fromu tov has affine formF(t)=v+E^e P^p J^j(t−u), with(v−u)/2=p+j−e. The402 paths through six arrows yield78 classes with endpoints retained as part of the classification; an algebraic proof gives the normal form for every finite admitted path. At each source vertex, complete P–E and J–E circuits commute with independent multipliers1750/(3K) and7500/(13K), K529. Individual E/P/J operators do not commute. The original17K branch obtained by+215 translation lacks required E pivots3271/3273. All ten common P/J source edges were checked: exactly the two lower regular edges admit an E return; no cumulative edge does. Across2238 circuit-generator/input trials in373 regular coordinates, only the fixed source point survives each circuit. Reduced denominators prove this for every nonempty positive circuit, excluding a global529-preserving chronology action. Source-table and variant reconstruction confirms all52 labelled record slots across12 loops. Endpoints, variants and scalar ratios are sourced; the new affine path grammar is a derived comparison, not an established prescription in the reviewed source passages. Whole950 biographies and a single physical seasonal action are not preserved. No new source endpoint, pivot, Gear scope or canonical graph edit was introduced. C393 is an earlier synthesis. The sourced E/J square connects MT Noah two-year repair to SP primary/LXX Cainan-OFF Shem births; E_(N+2) after J_A equals J_(A-40) after E_N with the transported pivot at next-Gear Shem death. Four coordinate squares have eight labelled contexts and form two two-edge strips. The required P pivots are absent; the two original17K reflections lack three cumulative image points each. Primary500/100 passes; companion/502 modes remain valid but fail the vertical E comparison. A4096-case coherent-family census without529 prefilter recovers the same cases. Source500/600 gives460+598=1058=2K; target1100 differs by42. The1492-evaluation held-Noah E census has29 nontrivial edges and25 maximal paths; only the four old double-E ladders have two edges. Two extra source E23→25 edges are3683→3681 about3706 and3685→3683 about3708, with explicit−215+130+60 context displacement. No global529-preserving E/P/J action is established. C383 is an earlier synthesis. The complete frozen Flood-pivot common-P/J census has six cumulative signed-minus-two and four regular signed-plus-two source quadruples. Two regular lower-full430 contexts are minus215 translations; only original full430 i3/i5 joins retain17K. P/J moving-pivot squares commute exactly when pivot separationD=230h. Finite paths have at most three cumulative or two regular edges. In translated frames the maps share the existing source input as center; operator counts determine the word map, and distinct counts retain distinct slopes. Paired iteration raises cross-spans by4, so it does not preserve17K. Fixed-pivot order defect is±20/897. J300/299 is File02 gap conversion, not calendar Residue Protocol. C373 is an earlier synthesis. At source Flood pivots 460 apart, P=70/69 on 138→140 and J=300/299 on 598→600 reach the same existing two-year repair. All four complete cumulative rows and regular primary i3/i5 pass; companion regular rows fail. Twenty C319 controls leave 22:i3/i5 conditionally. Equal integer gains have family69m→70m,299m→300m,pivot230m, source-qualified side529m; actual460 fixesm2. The pairing is not a reviewed source prescription or a global map. Same-offset comparisons pass; fixed-pivot phase transport fails. Native cumulative Noah950 translates by existing19K to reflectedSP950 with birth/death roles exchanged. The full source bridge matrix has primary69/138 and companion70/140 remainders; the companion459 includes an explicit annual-index difference. The cumulative joined500/1100 comparison has no source support in its frozen menu. C373 retains all earlier qualifications. C363 is an earlier synthesis. Joined460/598→500/600 reaches sourced SP Shem birth/death and changes one original17K span by42;550/529 is diagnostic only. The source Shem600+50+600 rectangle gives1250; Shem-held squaredE maps1058→1250 but has no admitted2056/2058 intermediate. Both new constructions leave02/22:i3/i5, with cumulativea unselected. Phase ancestry and source membership remain explicit. C353 adds the primary458+600=1058 paired source realization with original2K/17K outer endpoints unchanged, the598→650 SP/MT Shem image under E, and bounded partial relations.600 output alone leaves nine primary controls; both598 inputs select22 conditionally. Whole-affine gap conversion is not biography or seasonal-component transport. C343 is the earlier source-ladder synthesis. The primary Noah-held source ladder1058→1150→1250 under E=25/23 has refinement460+490+108+92+100. Companion actual MT Shem gives1149 and the valid502/98 mode gives1152; both retain double-E outer endpoints. C341 distinguishes component-preserving comparisons from one physical-time affine dilation or a biography-preserving map. C334 shared Shem±2 origin is explicit, but exact cumulative/regular endpoint coupling is unestablished in reviewed passages. C342 full regular ladder leaves C319 controls02 and22 at i3/i5; separate17K selects22. C287 full SP domaini2…5 remains; C319 is onlyi3…7. C314 reversal requiresi+j=10 with opposite cumulative ancestry phase; C323 conditionali=j5 uses its extra support requirements. SP primary death retains inclusive/harmonic qualification; matched lifespan950 remains. Source500/100 and502/98 bindings are valid alternatives. Scalar/C89 prior art remains distinct from the Noah-held endpoint realization. Corrected LXX8464 supplement is awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. Earlier incompleteSeptember17 ZIP differs from the later verified intact original. Original unprefixed reports, Engine reports and C-series remain distinct. No independent witness or source-prescribed selector is inferred from repeated coordinates. 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 23 main checks and 15 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 C419: Test the five established2K station pairs against the existing17K cumulative Shem/Flood joins and the already admitted Mirror corner exchanges, using only the frozen cumulative source register and no fitted new axis. The source profile is now exact and boundary-qualified. The Mirror focus requires testing whether it actually rejoins the existing17K construction before pursuing further harmonic relations. Continue within the authorized batch, reassessing after the next completed result.