L11a17
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11a17's Link Presentations]
Planar diagram presentation | X6172 X18,7,19,8 X4,19,1,20 X14,6,15,5 X8493 X16,10,17,9 X10,16,11,15 X20,12,21,11 X22,14,5,13 X12,22,13,21 X2,18,3,17 |
Gauss code | {1, -11, 5, -3}, {4, -1, 2, -5, 6, -7, 8, -10, 9, -4, 7, -6, 11, -2, 3, -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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