details/L10n84_0_0_c58f0c46.json
Multivariable Alexander polynomial
| ΔL |
A1^(1/2)*A2*A3 - A1^(1/2)*A2^(-1)*A3 + A1^(1/2)*A2^(-1) - A1^(1/2)*A2^(-2) + A1^(-1/2)*A2^(2) - A1^(-1/2)*A2 + A1^(-1/2)*A2*A3^(-1) - A1^(-1/2)*A2^(-1)*A3^(-1) |
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, -2, 2) |
yes |
(-1, 2, -2) |
yes |
(-1, -2, -2) |
yes |
(-1, 4, 0) |
yes |
(1, 2, 2) |
yes |
(1, -4, 0) |
yes |
(-1, 2, 0) |
yes |
(1, -2, 0) |
yes |
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HFL polytope
| Poincaré polynomial |
m^(-2)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + m^(-2)*A2^(-5/2)*A3^(-1/2) + m^(-1)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + m^(-1)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + m^(-1)*A1^(-1)*A2^(1/2)*A3^(-3/2) + m^(-1)*A2^(-5/2)*A3^(1/2) + m^(-1)*A2^(-3/2)*A3^(-3/2) + 2*m^(-1)*A2^(-3/2)*A3^(-1/2) + m^(-1)*A1*A2^(-5/2)*A3^(-1/2) + A1^(-1)*A2^(-1/2)*A3^(-1/2) + 2*A1^(-1)*A2^(1/2)*A3^(-1/2) + A1^(-1)*A2^(3/2)*A3^(-3/2) + A2^(-3/2)*A3^(-1/2) + 3*A2^(-3/2)*A3^(1/2) + A2^(-1/2)*A3^(-3/2) + 2*A2^(-1/2)*A3^(-1/2) + A2^(1/2)*A3^(-3/2) + A1*A2^(-5/2)*A3^(1/2) + 2*A1*A2^(-3/2)*A3^(-1/2) + m*A1^(-1)*A2^(1/2)*A3^(1/2) + 3*m*A1^(-1)*A2^(3/2)*A3^(-1/2) + m*A2^(-3/2)*A3^(3/2) + 2*m*A2^(-1/2)*A3^(-1/2) + 3*m*A2^(-1/2)*A3^(1/2) + 3*m*A2^(1/2)*A3^(-1/2) + m*A2^(3/2)*A3^(-3/2) + 3*m*A1*A2^(-3/2)*A3^(1/2) + m*A1*A2^(-1/2)*A3^(-1/2) + 2*m^2*A1^(-1)*A2^(3/2)*A3^(1/2) + m^2*A1^(-1)*A2^(5/2)*A3^(-1/2) + m^2*A2^(-1/2)*A3^(1/2) + m^2*A2^(-1/2)*A3^(3/2) + m^2*A2^(1/2)*A3^(-1/2) + 2*m^2*A2^(1/2)*A3^(1/2) + 3*m^2*A2^(3/2)*A3^(-1/2) + m^2*A1*A2^(-3/2)*A3^(3/2) + 2*m^2*A1*A2^(-1/2)*A3^(1/2) + m^3*A1^(-1)*A2^(5/2)*A3^(1/2) + 2*m^3*A2^(1/2)*A3^(1/2) + 2*m^3*A2^(3/2)*A3^(1/2) + m^3*A2^(5/2)*A3^(-1/2) + m^3*A1*A2^(-1/2)*A3^(3/2) + m^4*A2^(1/2)*A3^(3/2) + m^4*A2^(3/2)*A3^(1/2) + m^4*A2^(5/2)*A3^(1/2) + m^4*A1*A2^(1/2)*A3^(1/2) + m^5*A2^(3/2)*A3^(3/2) + m^5*A1*A2^(1/2)*A3^(3/2) + m^5*A1*A2^(3/2)*A3^(1/2) + m^6*A1*A2^(3/2)*A3^(3/2) |
| Vertex | Maslov | Rank |
(-1, -3/2, -3/2) | -2 | 1 |
(-1, -3/2, -1/2) | -1 | 1 |
(-1, 1/2, 1/2) | 1 | 1 |
(-1, 3/2, -3/2) | 0 | 1 |
(-1, 5/2, -1/2) | 2 | 1 |
(-1, 5/2, 1/2) | 3 | 1 |
(0, -5/2, -1/2) | -2 | 1 |
(0, -5/2, 1/2) | -1 | 1 |
(0, -3/2, -3/2) | -1 | 1 |
(0, -3/2, 3/2) | 1 | 1 |
(0, 3/2, -3/2) | 1 | 1 |
(0, 3/2, 3/2) | 5 | 1 |
(0, 5/2, -1/2) | 3 | 1 |
(0, 5/2, 1/2) | 4 | 1 |
(1, -5/2, -1/2) | -1 | 1 |
(1, -5/2, 1/2) | 0 | 1 |
(1, -3/2, 3/2) | 2 | 1 |
(1, -1/2, -1/2) | 1 | 1 |
(1, 3/2, 1/2) | 5 | 1 |
(1, 3/2, 3/2) | 6 | 1 |
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Record
FL/HFL Links
orderOption(int) |
2241 |
namestring |
L10n84{0;0} |
statusstring |
success |
slugstring |
L10n84_0_0_c58f0c46 |
result_filestring |
details/L10n84_0_0_c58f0c46.json |
complexity_scoreOption(int) |
300 |
strandsOption(int) |
null |
crossingsOption(int) |
10 |
component_countOption(int) |
3 |
girthOption(int) |
6 |
total_rankOption(int) |
72 |
wall_secondsOption(float) |
0.002005 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
3 |
support_sizeOption(int) |
44 |
vertex_countOption(int) |
20 |
fibered_vertex_countOption(int) |
8 |
polytope_statusstring |
computed |
alexander_support_sizeOption(int) |
8 |
alexander_vertex_countOption(int) |
8 |
alexander_relationstring |
not_computed |
fk_countint |
4 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10n84_0_0_c58f0c46"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10n84_0_0_c58f0c46 |