L11a456: Difference between revisions

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Revision as of 13:16, 30 August 2005

L11a455.gif

L11a455

L11a457.gif

L11a457

L11a456.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a456 at Knotilus!


Link Presentations

[edit Notes on L11a456's Link Presentations]

Planar diagram presentation X6172 X14,4,15,3 X20,11,21,12 X18,8,19,7 X16,10,17,9 X8,18,9,17 X22,19,13,20 X10,14,11,13 X12,21,5,22 X2536 X4,16,1,15
Gauss code {1, -10, 2, -11}, {10, -1, 4, -6, 5, -8, 3, -9}, {8, -2, 11, -5, 6, -4, 7, -3, 9, -7}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a456 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature 0 (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 \
-5-4-3-2-10123456χ
13           11
11          2 -2
9         51 4
7        73  -4
5       104   6
3      87    -1
1     1110     1
-1    811      3
-3   58       -3
-5  28        6
-7 15         -4
-9 2          2
-111           -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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L11a455

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L11a457