L11a534
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11a534's Link Presentations]
Planar diagram presentation | X6172 X2536 X18,11,19,12 X10,3,11,4 X4,9,1,10 X16,7,17,8 X8,15,5,16 X20,14,21,13 X22,19,15,20 X12,22,13,21 X14,17,9,18 |
Gauss code | {1, -2, 4, -5}, {2, -1, 6, -7}, {5, -4, 3, -10, 8, -11}, {7, -6, 11, -3, 9, -8, 10, -9} |
A Braid Representative | ||||||||
A Morse Link Presentation |
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...) | (db) |
Jones polynomial | (db) |
Signature | -3 (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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