L10a116
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L10a116's Link Presentations]
Planar diagram presentation | X12,1,13,2 X20,9,11,10 X14,3,15,4 X8,15,9,16 X16,5,17,6 X18,7,19,8 X6,17,7,18 X4,19,5,20 X2,11,3,12 X10,13,1,14 |
Gauss code | {1, -9, 3, -8, 5, -7, 6, -4, 2, -10}, {9, -1, 10, -3, 4, -5, 7, -6, 8, -2} |
A Braid Representative | |||||||
A Morse Link Presentation |
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...) | (db) |
Jones polynomial | (db) |
Signature | -5 (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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