L10n28

From Knot Atlas
Revision as of 12:56, 31 August 2005 by DrorsRobot (talk | contribs)
Jump to navigationJump to search

L10n27.gif

L10n27

L10n29.gif

L10n29

L10n28.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L10n28 at Knotilus!


Link Presentations

[edit Notes on L10n28's Link Presentations]

Planar diagram presentation X6172 X10,3,11,4 X7,14,8,15 X11,19,12,18 X15,20,16,5 X19,16,20,17 X17,13,18,12 X13,8,14,9 X2536 X4,9,1,10
Gauss code {1, -9, 2, -10}, {9, -1, -3, 8, 10, -2, -4, 7, -8, 3, -5, 6, -7, 4, -6, 5}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L10n28 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature -3 (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 \
-8-7-6-5-4-3-2-1012χ
2          11
0           0
-2        21 1
-4      111  1
-6      11   0
-8    121    0
-10   111     -1
-12   12      1
-14 11        0
-16           0
-181          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.

L10n27.gif

L10n27

L10n29.gif

L10n29