L11a525

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L11a524.gif

L11a524

L11a526.gif

L11a526

L11a525.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11a525's Link Presentations]

Planar diagram presentation X8192 X14,3,15,4 X12,15,7,16 X22,19,13,20 X16,9,17,10 X10,22,11,21 X20,12,21,11 X18,5,19,6 X2738 X4,13,5,14 X6,17,1,18
Gauss code {1, -9, 2, -10, 8, -11}, {9, -1, 5, -6, 7, -3}, {10, -2, 3, -5, 11, -8, 4, -7, 6, -4}
A Braid Representative
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A Morse Link Presentation L11a525 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -2 (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 \
-9-8-7-6-5-4-3-2-1012χ
3           11
1          2 -2
-1         51 4
-3        83  -5
-5       94   5
-7      109    -1
-9     108     2
-11    711      4
-13   69       -3
-15  38        5
-17 15         -4
-19 3          3
-211           -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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L11a524.gif

L11a524

L11a526.gif

L11a526