L11n203

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L11n202.gif

L11n202

L11n204.gif

L11n204

L11n203.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11n203 at Knotilus!


Link Presentations

[edit Notes on L11n203's Link Presentations]

Planar diagram presentation X10,1,11,2 X16,8,17,7 X18,12,19,11 X19,3,20,2 X3,12,4,13 X13,21,14,20 X5,15,6,14 X6,9,7,10 X22,16,9,15 X8,18,1,17 X21,4,22,5
Gauss code {1, 4, -5, 11, -7, -8, 2, -10}, {8, -1, 3, 5, -6, 7, 9, -2, 10, -3, -4, 6, -11, -9}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11n203 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 \
-2-101234567χ
16         1-1
14        1 1
12       31 -2
10      31  2
8     33   0
6    43    1
4   23     1
2  34      -1
0 14       3
-2 1        -1
-41         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).

Back to the top.

L11n202.gif

L11n202

L11n204.gif

L11n204