L11a523
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11a523's Link Presentations]
Planar diagram presentation | X8192 X14,4,15,3 X18,7,19,8 X22,9,13,10 X10,21,11,22 X20,14,21,13 X12,17,7,18 X16,6,17,5 X2,11,3,12 X4,16,5,15 X6,20,1,19 |
Gauss code | {1, -9, 2, -10, 8, -11}, {3, -1, 4, -5, 9, -7}, {6, -2, 10, -8, 7, -3, 11, -6, 5, -4} |
A Braid Representative | |||||
A Morse Link Presentation |
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...) | (db) |
Jones polynomial | (db) |
Signature | 0 (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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