L11a479

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L11a478.gif

L11a478

L11a480.gif

L11a480

L11a479.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

Visit L11a479 at Knotilus!


Link Presentations

[edit Notes on L11a479's Link Presentations]

Planar diagram presentation X6172 X10,4,11,3 X18,7,19,8 X22,15,17,16 X20,10,21,9 X8,13,9,14 X14,17,15,18 X16,21,5,22 X12,20,13,19 X2536 X4,12,1,11
Gauss code {1, -10, 2, -11}, {7, -3, 9, -5, 8, -4}, {10, -1, 3, -6, 5, -2, 11, -9, 6, -7, 4, -8}
A Braid Representative {{{braid_table}}}
A Morse Link Presentation L11a479 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 \
-7-6-5-4-3-2-101234χ
9           11
7          3 -3
5         61 5
3        83  -5
1       116   5
-1      1110    -1
-3     109     1
-5    813      5
-7   58       -3
-9  28        6
-11 15         -4
-13 2          2
-151           -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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L11a478.gif

L11a478

L11a480.gif

L11a480