L11a138

From Knot Atlas
Revision as of 12:29, 30 August 2005 by ScottKnotPageRobot (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigationJump to search

L11a137.gif

L11a137

L11a139.gif

L11a139

L11a138.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a138 at Knotilus!


Link Presentations

[edit Notes on L11a138's Link Presentations]

Planar diagram presentation X6172 X2,11,3,12 X14,3,15,4 X12,5,13,6 X22,13,5,14 X4,21,1,22 X20,16,21,15 X16,8,17,7 X8,20,9,19 X18,10,19,9 X10,18,11,17
Gauss code {1, -2, 3, -6}, {4, -1, 8, -9, 10, -11, 2, -4, 5, -3, 7, -8, 11, -10, 9, -7, 6, -5}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a138 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          3 3
6         51 -4
4        83  5
2       105   -5
0      118    3
-2     1111     0
-4    810      -2
-6   511       6
-8  48        -4
-10 16         5
-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).

Back to the top.

L11a137.gif

L11a137

L11a139.gif

L11a139