L11a151

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L11a150.gif

L11a150

L11a152.gif

L11a152

L11a151.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a151 at Knotilus!


Link Presentations

[edit Notes on L11a151's Link Presentations]

Planar diagram presentation X8192 X10,3,11,4 X14,6,15,5 X16,11,17,12 X20,13,21,14 X22,17,7,18 X18,21,19,22 X12,19,13,20 X4,16,5,15 X2738 X6,9,1,10
Gauss code {1, -10, 2, -9, 3, -11}, {10, -1, 11, -2, 4, -8, 5, -3, 9, -4, 6, -7, 8, -5, 7, -6}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a151 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 \
-9-8-7-6-5-4-3-2-1012χ
2           11
0          2 -2
-2         51 4
-4        73  -4
-6       94   5
-8      98    -1
-10     98     1
-12    69      3
-14   59       -4
-16  26        4
-18 15         -4
-20 2          2
-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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L11a150.gif

L11a150

L11a152.gif

L11a152