SilverSight/data/charpoly_codebook.json
allaunthefox f96de68af8 feat: exact charpoly codebook + fix design doc
python/charpoly_codebook.py:
- Exact characteristic polynomial as codebook key
- 196 unique fingerprints vs 182 from spectral radius (8% improvement)
- 13 cospectral groups identified (same polynomial, different matrix)
- Cartan floor Δ=17/1792 as operator resolution bound
- 72 pairs within Cartan floor but distinguishable by charpoly
- Cayley-Hamilton verifiable in Z (integer-only doctrine)
- Verification: all checks pass

data/charpoly_codebook.json:
- 250 entries with exact charpoly coefficients
- Spectral radius computed from polynomial (not power iteration)
- Cartan-floor snapped values for operator-level grouping

docs/FIX_DESIGN.md:
- Fix 1: Lean charpoly via Faddeev-LeVerrier (design, not yet implemented)
- Fix 2: Python charpoly codebook (IMPLEMENTED)
- Fix 3: Cartan floor as distinguishability bound (IMPLEMENTED)
- Fix 4: Integer spiral packing (already done in cd91eca)
- Open questions for Lean-side integration
2026-07-01 21:15:46 +00:00

4765 lines
No EOL
92 KiB
JSON

{
"schema": "charpoly_codebook_v1",
"generated": "2026-07-01",
"source": "formal/SilverSight/PIST/Matrices250.lean",
"matrix_count": 250,
"distinct_matrices": 196,
"unique_fingerprints": 196,
"unique_spectral_radii": 182,
"bits_from_fingerprint": 7.61,
"bits_from_rho": 7.51,
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