Joint distributions of knot invariants for prime knots through 11 crossings
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A reproducible catalog of joint invariants for all 801 prime knots through 11 crossings, computed via spherogram (HFK accelerator) and numpy. Per-knot invariants: crossing number, three-genus, signature, determinant, tau, fibered, L-space property, alternating, HFK total rank, writhe. Cross-checked against OEIS A002863, A002864, A051763, A172184, A172293, A172441, A172444, A172486, and A318051 (exact match through c=10 in all cases). Cross-checked against KnotInfo for all 35 prime knots with c <= 8 (105/105 exact matches on g, |sigma|, det). Includes findings.md (analysis), catalog.json (machine-readable per-knot data), det_sig_table.json (joint determinant-signature frequency table), c11-anomaly-investigation.md (notes on a chirality convention discrepancy with KnotInfo at c=11), knot_invariants.py (source), and test_knot_invariants.py (52 prior-art validation tests). Submission to OEIS as the genus-by-crossing table T(c, g) is staged at oeis-candidates/T-genus-by-crossing.txt in the source repository.



