L10a48

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L10a47.gif

L10a47

L10a49.gif

L10a49

L10a48.gif
(Knotscape image)
See the full Thistlethwaite Link Table (up to 11 crossings).

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Link Presentations

[edit Notes on L10a48's Link Presentations]

Planar diagram presentation X6172 X14,3,15,4 X20,8,5,7 X18,10,19,9 X16,12,17,11 X12,16,13,15 X10,18,11,17 X8,20,9,19 X2536 X4,13,1,14
Gauss code {1, -9, 2, -10}, {9, -1, 3, -8, 4, -7, 5, -6, 10, -2, 6, -5, 7, -4, 8, -3}
A Braid Representative
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A Morse Link Presentation L10a48 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 \
-4-3-2-10123456χ
12          11
10         1 -1
8        11 0
6       21  -1
4      21   1
2     22    0
0    22     0
-2   23      1
-4  11       0
-6  2        2
-811         0
-101          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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L10a47.gif

L10a47

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L10a49