L11a547

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L11a546.gif

L11a546

L11a548.gif

L11a548

L11a547.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link L11a547.
A graph, L11a547.
A part of a knot and a part of a graph.

Link Presentations

[edit Notes on L11a547's Link Presentations]

Planar diagram presentation X6172 X12,3,13,4 X20,7,21,8 X10,19,5,20 X22,13,19,14 X18,21,11,22 X14,17,15,18 X16,9,17,10 X8,15,9,16 X2536 X4,11,1,12
Gauss code {1, -10, 2, -11}, {4, -3, 6, -5}, {10, -1, 3, -9, 8, -4}, {11, -2, 5, -7, 9, -8, 7, -6}
A Braid Representative
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A Morse Link Presentation L11a547 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -5 (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 \
-11-10-9-8-7-6-5-4-3-2-10χ
-4           11
-6          41-3
-8         7  7
-10        94  -5
-12       157   8
-14      1211    -1
-16     1513     2
-18    1016      6
-20   711       -4
-22  311        8
-24 16         -5
-26 3          3
-281           -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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L11a546.gif

L11a546

L11a548.gif

L11a548