L11n203
From Knot Atlas
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(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11n203's Link Presentations]
Planar diagram presentation | X10,1,11,2 X16,8,17,7 X18,12,19,11 X19,3,20,2 X3,12,4,13 X13,21,14,20 X5,15,6,14 X6,9,7,10 X22,16,9,15 X8,18,1,17 X21,4,22,5 |
Gauss code | {1, 4, -5, 11, -7, -8, 2, -10}, {8, -1, 3, 5, -6, 7, 9, -2, 10, -3, -4, 6, -11, -9} |
A Braid Representative | {{{braid_table}}} |
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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