L11n229

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L11n228.gif

L11n228

L11n230.gif

L11n230

L11n229.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11n229 at Knotilus!


Link Presentations

[edit Notes on L11n229's Link Presentations]

Planar diagram presentation X10,1,11,2 X2,11,3,12 X12,3,13,4 X20,5,21,6 X7,14,8,15 X13,16,14,17 X15,8,16,1 X22,17,9,18 X18,21,19,22 X6,9,7,10 X4,19,5,20
Gauss code {1, -2, 3, -11, 4, -10, -5, 7}, {10, -1, 2, -3, -6, 5, -7, 6, 8, -9, 11, -4, 9, -8}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11n229 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -7 (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 \
-8-7-6-5-4-3-2-10χ
-6        11
-8       110
-10      2  2
-12     11  0
-14    32   1
-16   11    0
-18  23     -1
-20 11      0
-2212       -1
-242        2
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).

Back to the top.

L11n228.gif

L11n228

L11n230.gif

L11n230