L11a200

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L11a199.gif

L11a199

L11a201.gif

L11a201

L11a200.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a200 at Knotilus!


Link Presentations

[edit Notes on L11a200's Link Presentations]

Planar diagram presentation X8192 X2,9,3,10 X10,3,11,4 X16,5,17,6 X22,18,7,17 X18,12,19,11 X20,14,21,13 X12,20,13,19 X14,22,15,21 X6718 X4,15,5,16
Gauss code {1, -2, 3, -11, 4, -10}, {10, -1, 2, -3, 6, -8, 7, -9, 11, -4, 5, -6, 8, -7, 9, -5}
A Braid Representative
BraidPart1.gifBraidPart1.gifBraidPart1.gifBraidPart0.gifBraidPart0.gifBraidPart1.gifBraidPart0.gifBraidPart0.gifBraidPart0.gifBraidPart0.gifBraidPart1.gif
BraidPart2.gifBraidPart2.gifBraidPart2.gifBraidPart3.gifBraidPart3.gifBraidPart2.gifBraidPart3.gifBraidPart3.gifBraidPart3.gifBraidPart3.gifBraidPart2.gif
BraidPart0.gifBraidPart0.gifBraidPart0.gifBraidPart4.gifBraidPart4.gifBraidPart0.gifBraidPart4.gifBraidPart4.gifBraidPart4.gifBraidPart4.gifBraidPart0.gif
A Morse Link Presentation L11a200 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 \
-6-5-4-3-2-1012345χ
10           1-1
8          1 1
6         31 -2
4        31  2
2       53   -2
0      53    2
-2     56     1
-4    44      0
-6   25       3
-8  24        -2
-10  2         2
-1212          -1
-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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L11a199.gif

L11a199

L11a201.gif

L11a201