details/L10a126_0_0_6baa4e16.json
Multivariable Alexander polynomial
| ΔL |
-2*A1^(1/2)*A2^(1/2)*A3^(1/2) + 3*A1^(1/2)*A2^(1/2)*A3^(-1/2) + 3*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 3*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + 3*A1^(-1/2)*A2^(1/2)*A3^(1/2) - 3*A1^(-1/2)*A2^(1/2)*A3^(-1/2) - 3*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) |
Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.
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Dual Thurston polytope
| Vertex | Dual to fibered face |
(-1, 1, -1) |
no |
(-1, 1, 1) |
no |
(-1, -1, -1) |
no |
(1, -1, 1) |
no |
(-1, -1, 1) |
no |
(1, -1, -1) |
no |
(1, 1, -1) |
no |
(1, 1, 1) |
no |
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HFL polytope
| Poincaré polynomial |
2*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + 5*m^(-2)*A1^(-1)*A2^(-1) + 5*m^(-2)*A1^(-1)*A3^(-1) + 5*m^(-2)*A2^(-1)*A3^(-1) + 3*m^(-1)*A1^(-1)*A2^(-1)*A3 + 11*m^(-1)*A1^(-1) + 3*m^(-1)*A1^(-1)*A2*A3^(-1) + 11*m^(-1)*A2^(-1) + 11*m^(-1)*A3^(-1) + 3*m^(-1)*A1*A2^(-1)*A3^(-1) + 6*A1^(-1)*A3 + 6*A1^(-1)*A2 + 6*A2^(-1)*A3 + 22 + 6*A2*A3^(-1) + 6*A1*A2^(-1) + 6*A1*A3^(-1) + 3*m*A1^(-1)*A2*A3 + 11*m*A3 + 11*m*A2 + 3*m*A1*A2^(-1)*A3 + 11*m*A1 + 3*m*A1*A2*A3^(-1) + 5*m^2*A2*A3 + 5*m^2*A1*A3 + 5*m^2*A1*A2 + 2*m^3*A1*A2*A3 |
| Vertex | Maslov | Rank |
(-1, -1, -1) | -3 | 2 |
(-1, -1, 1) | -1 | 3 |
(-1, 1, -1) | -1 | 3 |
(-1, 1, 1) | 1 | 3 |
(1, -1, -1) | -1 | 3 |
(1, -1, 1) | 1 | 3 |
(1, 1, -1) | 1 | 3 |
(1, 1, 1) | 3 | 2 |
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Record
FL/HFL Links
orderOption(int) |
2009 |
namestring |
L10a126{0;0} |
statusstring |
success |
slugstring |
L10a126_0_0_6baa4e16 |
result_filestring |
details/L10a126_0_0_6baa4e16.json |
complexity_scoreOption(int) |
300 |
strandsOption(int) |
null |
crossingsOption(int) |
10 |
component_countOption(int) |
3 |
girthOption(int) |
6 |
total_rankOption(int) |
176 |
wall_secondsOption(float) |
0.002151 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
3 |
support_sizeOption(int) |
27 |
vertex_countOption(int) |
8 |
fibered_vertex_countOption(int) |
0 |
polytope_statusstring |
computed |
alexander_support_sizeOption(int) |
8 |
alexander_vertex_countOption(int) |
8 |
alexander_relationstring |
not_computed |
fk_countint |
0 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a126_0_0_6baa4e16"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a126_0_0_6baa4e16 |