L10n46

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L10n45.gif

L10n45

L10n47.gif

L10n47

L10n46.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L10n46 at Knotilus!


Link Presentations

[edit Notes on L10n46's Link Presentations]

Planar diagram presentation X8192 X9,19,10,18 X6718 X13,20,14,7 X12,5,13,6 X3,10,4,11 X4,15,5,16 X16,12,17,11 X19,14,20,15 X17,2,18,3
Gauss code {1, 10, -6, -7, 5, -3}, {3, -1, -2, 6, 8, -5, -4, 9, 7, -8, -10, 2, -9, 4}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L10n46 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 \
-6-5-4-3-2-10χ
-2      22
-4     110
-6    21 1
-8   21  -1
-10  12   -1
-12 12    1
-1411     0
-162      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).

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L10n45.gif

L10n45

L10n47.gif

L10n47