L7n2

From Knot Atlas
Jump to navigationJump to search

L7n1.gif

L7n1

L8a1.gif

L8a1

L7n2.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L7n2 at Knotilus!

L7n2 is in the Rolfsen table of links.


Link Presentations

[edit Notes on L7n2's Link Presentations]

Planar diagram presentation X6172 X12,7,13,8 X13,1,14,4 X5,10,6,11 X3849 X9,14,10,5 X2,12,3,11
Gauss code {1, -7, -5, 3}, {-4, -1, 2, 5, -6, 4, 7, -2, -3, 6}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L7n2 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 \
-5-4-3-2-10χ
0     22
-2    121
-4   1  1
-6   1  1
-8 11   0
-10      0
-121     -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.

L7n1.gif

L7n1

L8a1.gif

L8a1