L11a34

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L11a33.gif

L11a33

L11a35.gif

L11a35

L11a34.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a34 at Knotilus!


Link Presentations

[edit Notes on L11a34's Link Presentations]

Planar diagram presentation X6172 X10,3,11,4 X18,11,19,12 X16,7,17,8 X8,17,9,18 X22,15,5,16 X12,21,13,22 X20,13,21,14 X14,19,15,20 X2536 X4,9,1,10
Gauss code {1, -10, 2, -11}, {10, -1, 4, -5, 11, -2, 3, -7, 8, -9, 6, -4, 5, -3, 9, -8, 7, -6}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a34 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          31-2
-8         5  5
-10        73  -4
-12       95   4
-14      98    -1
-16     98     1
-18    59      4
-20   59       -4
-22  15        4
-24 15         -4
-26 1          1
-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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L11a33.gif

L11a33

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L11a35