details/L10a134_0_1_aa57929d.json
Multivariable Alexander polynomial
| ΔL |
A1^(1/2)*A2*A3 - 2*A1^(1/2)*A2 + A1^(1/2)*A2*A3^(-1) - 2*A1^(1/2)*A3 + 5*A1^(1/2) - 3*A1^(1/2)*A3^(-1) + A1^(1/2)*A2^(-1)*A3 - 3*A1^(1/2)*A2^(-1) + 3*A1^(1/2)*A2^(-1)*A3^(-1) - 3*A1^(-1/2)*A2*A3 + 3*A1^(-1/2)*A2 - A1^(-1/2)*A2*A3^(-1) + 3*A1^(-1/2)*A3 - 5*A1^(-1/2) + 2*A1^(-1/2)*A3^(-1) - A1^(-1/2)*A2^(-1)*A3 + 2*A1^(-1/2)*A2^(-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.
Interactive 3D view · hover a vertex for coordinates
Dual Thurston polytope
| Vertex | Dual to fibered face |
|---|
(-1, 2, 2) |
no |
(1, -2, 2) |
yes |
(-1, 2, -2) |
yes |
(-1, -2, 2) |
yes |
(-1, -2, -2) |
yes |
(1, -2, -2) |
no |
(1, 2, 2) |
yes |
(1, 2, -2) |
yes |
Interactive 3D view · hover a vertex for coordinates
HFL polytope
| Poincaré polynomial |
|---|
m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 3*m^(-5)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 3*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 4*m^(-5)*A2^(-3/2)*A3^(-3/2) + 3*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 10*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 3*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 9*m^(-4)*A2^(-3/2)*A3^(-1/2) + 9*m^(-4)*A2^(-1/2)*A3^(-3/2) + 3*m^(-4)*A1*A2^(-3/2)*A3^(-3/2) + m^(-3)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 11*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 11*m^(-3)*A1^(-1)*A2^(1/2)*A3^(-1/2) + m^(-3)*A1^(-1)*A2^(3/2)*A3^(-3/2) + 7*m^(-3)*A2^(-3/2)*A3^(1/2) + 24*m^(-3)*A2^(-1/2)*A3^(-1/2) + 7*m^(-3)*A2^(1/2)*A3^(-3/2) + 6*m^(-3)*A1*A2^(-3/2)*A3^(-1/2) + 6*m^(-3)*A1*A2^(-1/2)*A3^(-3/2) + 4*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 14*m^(-2)*A1^(-1)*A2^(1/2)*A3^(1/2) + 4*m^(-2)*A1^(-1)*A2^(3/2)*A3^(-1/2) + 2*m^(-2)*A2^(-3/2)*A3^(3/2) + 22*m^(-2)*A2^(-1/2)*A3^(1/2) + 22*m^(-2)*A2^(1/2)*A3^(-1/2) + 2*m^(-2)*A2^(3/2)*A3^(-3/2) + 4*m^(-2)*A1*A2^(-3/2)*A3^(1/2) + 14*m^(-2)*A1*A2^(-1/2)*A3^(-1/2) + 4*m^(-2)*A1*A2^(1/2)*A3^(-3/2) + 6*m^(-1)*A1^(-1)*A2^(1/2)*A3^(3/2) + 6*m^(-1)*A1^(-1)*A2^(3/2)*A3^(1/2) + 7*m^(-1)*A2^(-1/2)*A3^(3/2) + 24*m^(-1)*A2^(1/2)*A3^(1/2) + 7*m^(-1)*A2^(3/2)*A3^(-1/2) + m^(-1)*A1*A2^(-3/2)*A3^(3/2) + 11*m^(-1)*A1*A2^(-1/2)*A3^(1/2) + 11*m^(-1)*A1*A2^(1/2)*A3^(-1/2) + m^(-1)*A1*A2^(3/2)*A3^(-3/2) + 3*A1^(-1)*A2^(3/2)*A3^(3/2) + 9*A2^(1/2)*A3^(3/2) + 9*A2^(3/2)*A3^(1/2) + 3*A1*A2^(-1/2)*A3^(3/2) + 10*A1*A2^(1/2)*A3^(1/2) + 3*A1*A2^(3/2)*A3^(-1/2) + 4*m*A2^(3/2)*A3^(3/2) + 3*m*A1*A2^(1/2)*A3^(3/2) + 3*m*A1*A2^(3/2)*A3^(1/2) + m^2*A1*A2^(3/2)*A3^(3/2) |
| Vertex | Maslov | Rank |
|---|
(-1, -3/2, -3/2) | -6 | 1 |
(-1, -3/2, 3/2) | -3 | 1 |
(-1, 3/2, -3/2) | -3 | 1 |
(-1, 3/2, 3/2) | 0 | 3 |
(1, -3/2, -3/2) | -4 | 3 |
(1, -3/2, 3/2) | -1 | 1 |
(1, 3/2, -3/2) | -1 | 1 |
(1, 3/2, 3/2) | 2 | 1 |
Interactive 3D view · hover a vertex for coordinates
Record
FL/HFL Links
orderOption(int) |
2042 |
|---|
namestring |
L10a134{0;1} |
|---|
statusstring |
success |
|---|
slugstring |
L10a134_0_1_aa57929d |
|---|
result_filestring |
details/L10a134_0_1_aa57929d.json |
|---|
complexity_scoreOption(int) |
300 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
10 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
336 |
|---|
wall_secondsOption(float) |
0.003079 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
48 |
|---|
vertex_countOption(int) |
8 |
|---|
fibered_vertex_countOption(int) |
6 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
18 |
|---|
alexander_vertex_countOption(int) |
8 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
1 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a134_0_1_aa57929d"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a134_0_1_aa57929d |
|---|