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Joint distributions of knot invariants for prime knots through 11 crossings

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Zenodo2026-05-06 更新2026-05-26 收录
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A reproducible catalog of joint invariants for prime knots through 11 crossings, computed via spherogram 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, 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). v2 (May 6, 2026): adds T-c-g-knotinfo.json and T-c-g-readme.md, a KnotInfo-canonical table T(n, k) of prime-knot counts by crossing and three-genus through c = 13. This is the data backing OEIS sequence A394661 (25 terms for c = 3..11). The KnotInfo convention (each unoriented prime knot counted once up to mirror image, Perko pair excluded) supersedes the spherogram-based c = 11 row from v1 for OEIS purposes; the v1 spherogram catalog remains for reproducibility.

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Zenodo
创建时间:
2026-05-06
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