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Link Presentations
[edit Notes on L9n28's Link Presentations]
Planar diagram presentation
|
X6172 X12,7,13,8 X4,13,1,14 X18,10,15,9 X8493 X5,17,6,16 X17,5,18,14 X10,16,11,15 X2,12,3,11
|
Gauss code
|
{1, -9, 5, -3}, {8, 6, -7, -4}, {-6, -1, 2, -5, 4, -8, 9, -2, 3, 7}
|
Polynomial invariants
Multivariable Alexander Polynomial (in , , , ...)
|
(db)
|
Jones polynomial
|
(db)
|
Signature
|
2 (db)
|
HOMFLY-PT polynomial
|
(db)
|
Kauffman polynomial
|
(db)
|
The coefficients of the monomials are shown, along with their alternating sums (fixed , alternation over ).
|
|
|
-3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | χ |
11 | | | | | | | | 3 | 3 |
9 | | | | | | | 3 | 2 | -1 |
7 | | | | | | 3 | 1 | | 2 |
5 | | | | | 2 | 3 | | | 1 |
3 | | | | 4 | 3 | | | | 1 |
1 | | | 2 | 4 | | | | | 2 |
-1 | | 1 | 2 | | | | | | -1 |
-3 | | 2 | | | | | | | 2 |
-5 | 1 | | | | | | | | -1 |
|