L11a300
From Knot Atlas
Jump to navigationJump to search
|
|
(Knotscape image) |
See the full Thistlethwaite Link Table (up to 11 crossings). |
Link Presentations
[edit Notes on L11a300's Link Presentations]
Planar diagram presentation | X10,1,11,2 X12,4,13,3 X22,12,9,11 X2,9,3,10 X20,15,21,16 X8,14,1,13 X4,20,5,19 X18,8,19,7 X16,6,17,5 X6,18,7,17 X14,21,15,22 |
Gauss code | {1, -4, 2, -7, 9, -10, 8, -6}, {4, -1, 3, -2, 6, -11, 5, -9, 10, -8, 7, -5, 11, -3} |
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 ). |
|
Integral Khovanov Homology
(db, data source) |
|
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. |
|