L11a529

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L11a528.gif

L11a528

L11a530.gif

L11a530

L11a529.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L11a529's Link Presentations]

Planar diagram presentation X8192 X14,3,15,4 X12,13,7,14 X16,7,17,8 X22,17,13,18 X18,5,19,6 X20,9,21,10 X10,19,11,20 X4,11,5,12 X2,15,3,16 X6,21,1,22
Gauss code {1, -10, 2, -9, 6, -11}, {4, -1, 7, -8, 9, -3}, {3, -2, 10, -4, 5, -6, 8, -7, 11, -5}
A Braid Representative
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A Morse Link Presentation L11a529 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -4 (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
-3           11
-5          41-3
-7         6  6
-9        104  -6
-11       136   7
-13      1210    -2
-15     1413     1
-17    1014      4
-19   712       -5
-21  411        7
-23 16         -5
-25 4          4
-271           -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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L11a528.gif

L11a528

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L11a530