L11n91

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L11n90.gif

L11n90

L11n92.gif

L11n92

L11n91.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11n91 at Knotilus!


Link Presentations

[edit Notes on L11n91's Link Presentations]

Planar diagram presentation X6172 X12,4,13,3 X7,16,8,17 X11,20,12,21 X17,22,18,5 X21,18,22,19 X19,10,20,11 X9,14,10,15 X15,8,16,9 X2536 X4,14,1,13
Gauss code {1, -10, 2, -11}, {10, -1, -3, 9, -8, 7, -4, -2, 11, 8, -9, 3, -5, 6, -7, 4, -6, 5}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11n91 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          1 -1
-2         31 2
-4        23  1
-6      131   1
-8      12    1
-10    133     -1
-12   1 1      2
-14   12       -1
-16 11         0
-18            0
-201           -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).

Back to the top.

L11n90.gif

L11n90

L11n92.gif

L11n92