L11a108

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L11a107.gif

L11a107

L11a109.gif

L11a109

L11a108.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11a108's Link Presentations]

Planar diagram presentation X6172 X14,3,15,4 X22,15,5,16 X16,7,17,8 X18,9,19,10 X8,17,9,18 X10,21,11,22 X20,11,21,12 X12,19,13,20 X2536 X4,13,1,14
Gauss code {1, -10, 2, -11}, {10, -1, 4, -6, 5, -7, 8, -9, 11, -2, 3, -4, 6, -5, 9, -8, 7, -3}
A Braid Representative
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A Morse Link Presentation L11a108 ML.gif

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 ).   
\ r
  \  
j \
-11-10-9-8-7-6-5-4-3-2-10χ
-4           11
-6          31-2
-8         4  4
-10        63  -3
-12       84   4
-14      77    0
-16     87     1
-18    47      3
-20   48       -4
-22  14        3
-24 14         -3
-26 1          1
-281           -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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L11a107

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