L10a119

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L10a118.gif

L10a118

L10a120.gif

L10a120

L10a119.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L10a119's Link Presentations]

Planar diagram presentation X12,1,13,2 X20,7,11,8 X14,3,15,4 X6,15,7,16 X16,5,17,6 X4,17,5,18 X18,9,19,10 X2,11,3,12 X10,13,1,14 X8,19,9,20
Gauss code {1, -8, 3, -6, 5, -4, 2, -10, 7, -9}, {8, -1, 9, -3, 4, -5, 6, -7, 10, -2}
A Braid Representative
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A Morse Link Presentation L10a119 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 \
-10-9-8-7-6-5-4-3-2-10χ
-2          11
-4         31-2
-6        3  3
-8       43  -1
-10      53   2
-12     44    0
-14    35     -2
-16   34      1
-18  13       -2
-20  3        3
-2211         0
-241          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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