details/L9n27_1_1_e4e0cfb9.json
Multivariable Alexander polynomial
Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.
Dual Thurston polytope
| Vertex | Dual to fibered face |
(1, -1, 1) |
no |
(-1, -1, -1) |
no |
(-1, 1, -1) |
no |
(1, 1, 1) |
no |
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HFL polytope
| Poincaré polynomial |
m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-3)*A1^(-1)*A2^(-1) + 2*m^(-3)*A1^(-1)*A3^(-1) + m^(-3)*A2^(-1)*A3^(-1) + m^(-2)*A1^(-1)*A2^(-1) + 2*m^(-2)*A1^(-1)*A3^(-1) + 2*m^(-2)*A1^(-1) + m^(-2)*A1^(-1)*A2*A3^(-1) + m^(-2)*A2^(-1)*A3^(-1) + 2*m^(-2)*A2^(-1) + 2*m^(-2)*A3^(-1) + 2*m^(-1)*A1^(-1) + m^(-1)*A1^(-1)*A2*A3^(-1) + m^(-1)*A1^(-1)*A2 + 2*m^(-1)*A2^(-1) + m^(-1)*A2^(-1)*A3 + 2*m^(-1)*A3^(-1) + 5*m^(-1) + m^(-1)*A2*A3^(-1) + m^(-1)*A1*A2^(-1) + A1^(-1)*A2 + A2^(-1)*A3 + 5 + 2*A3 + A2*A3^(-1) + 2*A2 + A1*A2^(-1) + A1*A2^(-1)*A3 + 2*A1 + 2*m*A3 + 2*m*A2 + m*A2*A3 + m*A1*A2^(-1)*A3 + 2*m*A1 + 2*m*A1*A3 + m*A1*A2 + m^2*A2*A3 + 2*m^2*A1*A3 + m^2*A1*A2 + m^2*A1*A2*A3 + m^3*A1*A2*A3 |
| Vertex | Maslov | Rank |
(-1, -1, -1) | -4, -3 | 2 |
(-1, -1, 0) | -3, -2 | 2 |
(-1, 1, -1) | -2, -1 | 2 |
(-1, 1, 0) | -1, 0 | 2 |
(0, -1, -1) | -3, -2 | 2 |
(0, -1, 1) | -1, 0 | 2 |
(0, 1, -1) | -1, 0 | 2 |
(0, 1, 1) | 1, 2 | 2 |
(1, -1, 0) | -1, 0 | 2 |
(1, -1, 1) | 0, 1 | 2 |
(1, 1, 0) | 1, 2 | 2 |
(1, 1, 1) | 2, 3 | 2 |
Interactive 3D view · hover a vertex for coordinates
Record
FL/HFL Links
orderOption(int) |
1964 |
namestring |
L9n27{1;1} |
statusstring |
success |
slugstring |
L9n27_1_1_e4e0cfb9 |
result_filestring |
details/L9n27_1_1_e4e0cfb9.json |
complexity_scoreOption(int) |
243 |
strandsOption(int) |
null |
crossingsOption(int) |
9 |
component_countOption(int) |
3 |
girthOption(int) |
6 |
total_rankOption(int) |
66 |
wall_secondsOption(float) |
0.00227 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
3 |
support_sizeOption(int) |
21 |
vertex_countOption(int) |
12 |
fibered_vertex_countOption(int) |
0 |
polytope_statusstring |
computed |
alexander_support_sizeOption(int) |
0 |
alexander_vertex_countOption(int) |
0 |
alexander_relationstring |
not_computed |
fk_countint |
0 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L9n27_1_1_e4e0cfb9"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L9n27_1_1_e4e0cfb9 |