L6a2

From Knot Atlas
Jump to navigationJump to search

L6a1.gif

L6a1

L6a3.gif

L6a3

L6a2.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L6a2 at Knotilus!

L6a2 is in the Rolfsen table of links.

Mongolian ornament (4 crossings are unnecessary)

Link Presentations

[edit Notes on L6a2's Link Presentations]

Planar diagram presentation X8192 X12,5,7,6 X10,3,11,4 X4,11,5,12 X2738 X6,9,1,10
Gauss code {1, -5, 3, -4, 2, -6}, {5, -1, 6, -3, 4, -2}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L6a2 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 \
-6-5-4-3-2-10χ
-2      11
-4     110
-6    1  1
-8   11  0
-10  11   0
-12  1    1
-1411     0
-161      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.

L6a1.gif

L6a1

L6a3.gif

L6a3