L9a2

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L9a1.gif

L9a1

L9a3.gif

L9a3

L9a2.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L9a2 at Knotilus!

L9a2 is in the Rolfsen table of links.


Link Presentations

[edit Notes on L9a2's Link Presentations]

Planar diagram presentation X6172 X14,7,15,8 X4,15,1,16 X12,6,13,5 X8493 X16,10,17,9 X18,12,5,11 X10,18,11,17 X2,14,3,13
Gauss code {1, -9, 5, -3}, {4, -1, 2, -5, 6, -8, 7, -4, 9, -2, 3, -6, 8, -7}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L9a2 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 \
-3-2-10123456χ
16         11
14        2 -2
12       21 1
10      42  -2
8     32   1
6    34    1
4   33     0
2  25      3
0 11       0
-2 2        2
-41         -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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L9a1.gif

L9a1

L9a3.gif

L9a3