details/L11n272_0_1_3698edaf.json
Multivariable Alexander polynomial
| ΔL |
2*A1^(1/2)*A2^(1/2)*A3^(3/2) - A1^(1/2)*A2^(1/2)*A3^(1/2) - 2*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 2*A1^(1/2)*A2^(-1/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 2*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(-3/2) |
Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.
Interactive 3D view · hover a vertex for coordinates
Dual Thurston polytope
| Vertex | Dual to fibered face |
|---|
(-1, 1, -1) |
no |
(-1, 1, 1) |
no |
(1, 1, 3) |
no |
(-1, -1, -1) |
yes |
(1, -1, 1) |
no |
(1, -1, -1) |
no |
(-1, -1, -3) |
no |
(1, 1, 1) |
yes |
Interactive 3D view · hover a vertex for coordinates
HFL polytope
| Poincaré polynomial |
|---|
2*m^(-2)*A1^(-1)*A2^(-1)*A3^(-2) + 3*m^(-1)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-1)*A1^(-1)*A3^(-2) + 2*m^(-1)*A1^(-1)*A3^(-1) + 2*m^(-1)*A2^(-1)*A3^(-2) + 2*m^(-1)*A2^(-1)*A3^(-1) + A1^(-1)*A2^(-1) + 3*A1^(-1)*A3^(-1) + 4*A1^(-1) + 2*A1^(-1)*A2*A3^(-1) + 3*A2^(-1)*A3^(-1) + 4*A2^(-1) + 2*A3^(-2) + 4*A3^(-1) + 2*A1*A2^(-1)*A3^(-1) + m*A1^(-1) + 2*m*A1^(-1)*A3 + 4*m*A1^(-1)*A2 + m*A2^(-1) + 2*m*A2^(-1)*A3 + 3*m*A3^(-1) + 9*m + 2*m*A2*A3^(-1) + 4*m*A1*A2^(-1) + 2*m*A1*A3^(-1) + 2*m^2*A1^(-1)*A2*A3 + 3*m^2 + 4*m^2*A3 + 4*m^2*A2 + 2*m^2*A1*A2^(-1)*A3 + 4*m^2*A1 + 3*m^3*A3 + m^3*A2 + 2*m^3*A2*A3 + m^3*A1 + 2*m^3*A1*A3 + 2*m^4*A3^2 + 3*m^4*A2*A3 + 3*m^4*A1*A3 + m^4*A1*A2 + 2*m^5*A2*A3^2 + 2*m^5*A1*A3^2 + 3*m^5*A1*A2*A3 + 2*m^6*A1*A2*A3^2 |
| Vertex | Maslov | Rank |
|---|
(-1, -1, -2) | -2 | 2 |
(-1, -1, 0) | 0 | 1 |
(-1, 0, -2) | -1 | 2 |
(-1, 0, 1) | 1 | 2 |
(-1, 1, -1) | 0 | 2 |
(-1, 1, 1) | 2 | 2 |
(0, -1, -2) | -1 | 2 |
(0, -1, 1) | 1 | 2 |
(0, 0, -2) | 0 | 2 |
(0, 0, 2) | 4 | 2 |
(0, 1, -1) | 1 | 2 |
(0, 1, 2) | 5 | 2 |
(1, -1, -1) | 0 | 2 |
(1, -1, 1) | 2 | 2 |
(1, 0, -1) | 1 | 2 |
(1, 0, 2) | 5 | 2 |
(1, 1, 0) | 4 | 1 |
(1, 1, 2) | 6 | 2 |
Interactive 3D view · hover a vertex for coordinates
Record
FL/HFL Links
orderOption(int) |
2950 |
|---|
namestring |
L11n272{0;1} |
|---|
statusstring |
success |
|---|
slugstring |
L11n272_0_1_3698edaf |
|---|
result_filestring |
details/L11n272_0_1_3698edaf.json |
|---|
complexity_scoreOption(int) |
363 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
11 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
114 |
|---|
wall_secondsOption(float) |
0.00344 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
33 |
|---|
vertex_countOption(int) |
18 |
|---|
fibered_vertex_countOption(int) |
2 |
|---|
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": "L11n272_0_1_3698edaf"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11n272_0_1_3698edaf |
|---|