L11n53
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11n53's Link Presentations]
Planar diagram presentation | X6172 X10,4,11,3 X12,8,13,7 X9,16,10,17 X13,20,14,21 X17,5,18,22 X21,19,22,18 X19,14,20,15 X15,8,16,9 X2536 X4,12,1,11 |
Gauss code | {1, -10, 2, -11}, {10, -1, 3, 9, -4, -2, 11, -3, -5, 8, -9, 4, -6, 7, -8, 5, -7, 6} |
A Braid Representative | ||||||
A Morse Link Presentation |
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...) | (db) |
Jones polynomial | (db) |
Signature | -1 (db) |
HOMFLY-PT polynomial | (db) |
Kauffman polynomial | (db) |
Khovanov Homology
The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ). |
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Integral Khovanov Homology
(db, data source) |
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Computer Talk
Much of the above data can be recomputed by Mathematica using the package KnotTheory`
. See A Sample KnotTheory` Session.
Modifying This Page
Read me first: Modifying Knot Pages
See/edit the Link Page master template (intermediate). See/edit the Link_Splice_Base (expert). Back to the top. |
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