L10a76

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L10a75.gif

L10a75

L10a77.gif

L10a77

L10a76.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L10a76 at Knotilus!


Link Presentations

[edit Notes on L10a76's Link Presentations]

Planar diagram presentation X8192 X14,9,15,10 X6718 X20,15,7,16 X16,6,17,5 X4,20,5,19 X10,4,11,3 X12,17,13,18 X18,11,19,12 X2,14,3,13
Gauss code {1, -10, 7, -6, 5, -3}, {3, -1, 2, -7, 9, -8, 10, -2, 4, -5, 8, -9, 6, -4}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L10a76 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -1 (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 \
-6-5-4-3-2-101234χ
8          11
6         3 -3
4        61 5
2       74  -3
0      105   5
-2     88    0
-4    89     -1
-6   58      3
-8  38       -5
-10 15        4
-12 3         -3
-141          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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L10a75.gif

L10a75

L10a77.gif

L10a77