L11a359

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L11a358.gif

L11a358

L11a360.gif

L11a360

L11a359.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11a359's Link Presentations]

Planar diagram presentation X12,1,13,2 X14,3,15,4 X20,10,21,9 X16,6,17,5 X22,15,11,16 X8,18,9,17 X18,8,19,7 X6,20,7,19 X4,22,5,21 X2,11,3,12 X10,13,1,14
Gauss code {1, -10, 2, -9, 4, -8, 7, -6, 3, -11}, {10, -1, 11, -2, 5, -4, 6, -7, 8, -3, 9, -5}
A Braid Representative
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A Morse Link Presentation L11a359 ML.gif

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 ).   
\ r
  \  
j \
-5-4-3-2-10123456χ
14           11
12          2 -2
10         41 3
8        62  -4
6       84   4
4      87    -1
2     87     1
0    69      3
-2   47       -3
-4  26        4
-6 14         -3
-8 2          2
-101           -1
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).

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L11a358

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L11a360