L11n193

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L11n192.gif

L11n192

L11n194.gif

L11n194

L11n193.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11n193's Link Presentations]

Planar diagram presentation X8192 X9,21,10,20 X4758 X16,5,17,6 X6,15,1,16 X22,17,7,18 X18,13,19,14 X14,21,15,22 X2,11,3,12 X12,3,13,4 X19,11,20,10
Gauss code {1, -9, 10, -3, 4, -5}, {3, -1, -2, 11, 9, -10, 7, -8, 5, -4, 6, -7, -11, 2, 8, -6}
A Braid Representative
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A Morse Link Presentation L11n193 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 \
-9-8-7-6-5-4-3-2-10χ
-2         22
-4        41-3
-6       51 4
-8      64  -2
-10     75   2
-12    56    1
-14   57     -2
-16  36      3
-18 14       -3
-20 3        3
-221         -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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L11n192.gif

L11n192

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L11n194