L7a7

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L7a6.gif

L7a6

L7n1.gif

L7n1

L7a7.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L7a7 at Knotilus!

L7a7 is in the Rolfsen table of links.


Link Presentations

[edit Notes on L7a7's Link Presentations]

Planar diagram presentation X6172 X10,3,11,4 X14,12,9,11 X8,14,5,13 X12,8,13,7 X2536 X4,9,1,10
Gauss code {1, -6, 2, -7}, {6, -1, 5, -4}, {7, -2, 3, -5, 4, -3}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L7a7 ML.gif

Polynomial invariants

Multivariable Alexander Polynomial (in , , , ...) (db)
Jones polynomial (db)
Signature 0 (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 \
-4-3-2-10123χ
7       1-1
5      2 2
3     11 0
1    32  1
-1   34   1
-3  1     1
-5  3     3
-711      0
-91       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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L7a6.gif

L7a6

L7n1.gif

L7n1