{"id": "c450", "title": "Primitive E Arrows at the Eight Existing Pivots", "filename": "490d_C450_Eight_Pivot_E_Arrow_Census_20260925.md", "role": "Research action", "step": 450, "sha256": "b227f3d6f0f0dd00766b9f23102fe40b17cd75b890c57517b03897040de674cb", "bytes": 3045, "origins": ["C01–C479/packets/C450/490d_C450_Eight_Pivot_E_Arrow_Census_20260925.md"], "download": "/sources/b227f3d6f0f0dd00766b9f23102fe40b17cd75b890c57517b03897040de674cb.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Inverse", "Calendar Keys", "Mirror / 529"], "excerpt": "490d C450 — Primitive E Arrows at the Eight Existing Pivots\n\n25 September 2026 UTC. Step 6 of 25, C445–C469.\n\nThe eight existing pivots yield37 sourced E arrows in2,984 trials: eight pivot self-arrows and29 distinct nonzero arrows. Another2,854 outputs are fractional and93 are integer coordinates absent from the frozen", "content": "# 490d C450 — Primitive E Arrows at the Eight Existing Pivots\n\n25 September 2026 UTC. Step 6 of 25, C445–C469.\n\nThe eight existing pivots yield37 sourced E arrows in2,984 trials: eight pivot self-arrows and29 distinct nonzero arrows. Another2,854 outputs are fractional and93 are integer coordinates absent from the frozen register.\n\nE_h(x)=(25x−2h)/23 uses the source ratio in File_46 L3, lines117–133. Its pivots are exactly c−432 and c+432 for c=3188,3190,3248,3250. Each pivot is separately present in the register; no generated pivot is admitted.\n\n| Pivot | Sourced arrows | Nonzero | Fractional failures | Integer absent |\n|---:|---:|---:|---:|---:|\n| 2756 | 7 | 6 | 356 | 10 |\n| 2758 | 5 | 4 | 361 | 7 |\n| 2816 | 3 | 2 | 356 | 14 |\n| 2818 | 4 | 3 | 356 | 13 |\n| 3620 | 8 | 7 | 355 | 10 |\n| 3622 | 3 | 2 | 352 | 18 |\n| 3680 | 4 | 3 | 360 | 9 |\n| 3682 | 3 | 2 | 358 | 12 |\n\nThe census recovers2148→2020 at3620, then2020→1956 at2756, as well as3206→3170 and3170→3206. It also exposes additional primitive arrows, including2610→2522,2735→2733→2731 and3105→3055→3081. These have sourced endpoints but still require context interpretation.\n\nFractional outputs are kept as exact numerator/23 records. The absence category applies only to the373-coordinate menu. The next operation is a directed closure: E arrows are not silently reversed. Reflection edges retain both admitted directions.\n\n## Verification and scope\n\n45 calculation checks and 19 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.\n\nAn integer/sourced arrow is an arithmetic comparison. This menu does not authorize applying E to every calendar date or identifying different source contexts.\n\nMirror/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.\n\n## Best next bounded step\n\n**C451, proposed and unexecuted:** Compute directed reachability for the combined fixed-reflection and eight-pivot E menu, retaining exact shortest operator witnesses and testing every reachable distinct pair for nonzero529 multiples.\n\nPrimitive admission is now fixed. A directed finite graph can settle every mixed-word529 comparison without an arbitrary search-depth cutoff or adding inverse E operations.\n", "evidenceLinks": [{"id": "d-24203a4c3b282f9b", "title": "File 02"}, {"id": "d-18e8c54ff1663fb1", "title": "File 46"}]}