L11a120

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L11a119.gif

L11a119

L11a121.gif

L11a121

L11a120.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11a120's Link Presentations]

Planar diagram presentation X6172 X14,3,15,4 X22,15,5,16 X18,7,19,8 X10,21,11,22 X20,11,21,12 X12,19,13,20 X16,9,17,10 X8,17,9,18 X2536 X4,13,1,14
Gauss code {1, -10, 2, -11}, {10, -1, 4, -9, 8, -5, 6, -7, 11, -2, 3, -8, 9, -4, 7, -6, 5, -3}
A Braid Representative
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A Morse Link Presentation L11a120 ML.gif

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 ).   
\ r
  \  
j \
-11-10-9-8-7-6-5-4-3-2-10χ
-2           11
-4          31-2
-6         3  3
-8        63  -3
-10       73   4
-12      67    1
-14     76     1
-16    46      2
-18   47       -3
-20  14        3
-22 14         -3
-24 1          1
-261           -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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L11a119

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L11a121