L11a285

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L11a284.gif

L11a284

L11a286.gif

L11a286

L11a285.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a285 at Knotilus!


Link Presentations

[edit Notes on L11a285's Link Presentations]

Planar diagram presentation X10,1,11,2 X2,11,3,12 X12,3,13,4 X20,14,21,13 X14,6,15,5 X4,21,5,22 X16,9,17,10 X22,15,9,16 X6,18,7,17 X18,8,19,7 X8,20,1,19
Gauss code {1, -2, 3, -6, 5, -9, 10, -11}, {7, -1, 2, -3, 4, -5, 8, -7, 9, -10, 11, -4, 6, -8}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a285 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 \
-6-5-4-3-2-1012345χ
10           1-1
8          2 2
6         41 -3
4        72  5
2       74   -3
0      107    3
-2     89     1
-4    78      -1
-6   48       4
-8  27        -5
-10 14         3
-12 2          -2
-141           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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L11a284.gif

L11a284

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L11a286