L11a326
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11a326's Link Presentations]
Planar diagram presentation | X10,1,11,2 X12,4,13,3 X20,5,21,6 X16,9,17,10 X18,12,19,11 X22,15,9,16 X6,21,7,22 X14,8,15,7 X4,14,5,13 X8,18,1,17 X2,19,3,20 |
Gauss code | {1, -11, 2, -9, 3, -7, 8, -10}, {4, -1, 5, -2, 9, -8, 6, -4, 10, -5, 11, -3, 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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