details/L10a165_1_0_0_b4f1e718.json
Multivariable Alexander polynomial
| ΔL |
2*A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) - 2*A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(-1/2) - 3*A1^(1/2)*A2^(1/2)*A3^(-1/2)*A4^(1/2) + 2*A1^(1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) + 2*A1^(1/2)*A2^(-1/2)*A3^(1/2)*A4^(-1/2) + 2*A1^(1/2)*A2^(-1/2)*A3^(-1/2)*A4^(1/2) - 2*A1^(1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2) - 2*A1^(-1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) + 2*A1^(-1/2)*A2^(1/2)*A3^(1/2)*A4^(-1/2) + 2*A1^(-1/2)*A2^(1/2)*A3^(-1/2)*A4^(1/2) - A1^(-1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) - 3*A1^(-1/2)*A2^(-1/2)*A3^(1/2)*A4^(-1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(1/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2) |
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) |
no |
(1, -1) |
no |
(1, 1) |
no |
(-1, 1) |
no |
HFL polytope
| Poincaré polynomial |
|---|
2*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1)*A4^(-1) + 4*m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 5*m^(-5)*A1^(-1)*A2^(-1)*A4^(-1) + 3*m^(-5)*A1^(-1)*A3^(-1)*A4^(-1) + 4*m^(-5)*A2^(-1)*A3^(-1)*A4^(-1) + 2*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1)*A4 + 9*m^(-4)*A1^(-1)*A2^(-1) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3*A4^(-1) + 7*m^(-4)*A1^(-1)*A3^(-1) + 8*m^(-4)*A1^(-1)*A4^(-1) + m^(-4)*A1^(-1)*A2*A3^(-1)*A4^(-1) + 8*m^(-4)*A2^(-1)*A3^(-1) + 9*m^(-4)*A2^(-1)*A4^(-1) + 7*m^(-4)*A3^(-1)*A4^(-1) + 2*m^(-4)*A1*A2^(-1)*A3^(-1)*A4^(-1) + 4*m^(-3)*A1^(-1)*A2^(-1)*A4 + 5*m^(-3)*A1^(-1)*A2^(-1)*A3 + 4*m^(-3)*A1^(-1)*A3^(-1)*A4 + 16*m^(-3)*A1^(-1) + 5*m^(-3)*A1^(-1)*A3*A4^(-1) + 3*m^(-3)*A1^(-1)*A2*A3^(-1) + 3*m^(-3)*A1^(-1)*A2*A4^(-1) + 4*m^(-3)*A2^(-1)*A3^(-1)*A4 + 16*m^(-3)*A2^(-1) + 5*m^(-3)*A2^(-1)*A3*A4^(-1) + 16*m^(-3)*A3^(-1) + 16*m^(-3)*A4^(-1) + 3*m^(-3)*A2*A3^(-1)*A4^(-1) + 4*m^(-3)*A1*A2^(-1)*A3^(-1) + 4*m^(-3)*A1*A2^(-1)*A4^(-1) + 4*m^(-3)*A1*A3^(-1)*A4^(-1) + 2*m^(-2)*A1^(-1)*A2^(-1)*A3*A4 + 8*m^(-2)*A1^(-1)*A4 + 9*m^(-2)*A1^(-1)*A3 + 2*m^(-2)*A1^(-1)*A2*A3^(-1)*A4 + 7*m^(-2)*A1^(-1)*A2 + 2*m^(-2)*A1^(-1)*A2*A3*A4^(-1) + 7*m^(-2)*A2^(-1)*A4 + 8*m^(-2)*A2^(-1)*A3 + 9*m^(-2)*A3^(-1)*A4 + 32*m^(-2) + 9*m^(-2)*A3*A4^(-1) + 8*m^(-2)*A2*A3^(-1) + 7*m^(-2)*A2*A4^(-1) + 2*m^(-2)*A1*A2^(-1)*A3^(-1)*A4 + 7*m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1*A2^(-1)*A3*A4^(-1) + 9*m^(-2)*A1*A3^(-1) + 8*m^(-2)*A1*A4^(-1) + 2*m^(-2)*A1*A2*A3^(-1)*A4^(-1) + 4*m^(-1)*A1^(-1)*A3*A4 + 4*m^(-1)*A1^(-1)*A2*A4 + 4*m^(-1)*A1^(-1)*A2*A3 + 3*m^(-1)*A2^(-1)*A3*A4 + 16*m^(-1)*A4 + 16*m^(-1)*A3 + 5*m^(-1)*A2*A3^(-1)*A4 + 16*m^(-1)*A2 + 4*m^(-1)*A2*A3*A4^(-1) + 3*m^(-1)*A1*A2^(-1)*A4 + 3*m^(-1)*A1*A2^(-1)*A3 + 5*m^(-1)*A1*A3^(-1)*A4 + 16*m^(-1)*A1 + 4*m^(-1)*A1*A3*A4^(-1) + 5*m^(-1)*A1*A2*A3^(-1) + 4*m^(-1)*A1*A2*A4^(-1) + 2*A1^(-1)*A2*A3*A4 + 7*A3*A4 + 9*A2*A4 + 8*A2*A3 + A1*A2^(-1)*A3*A4 + 8*A1*A4 + 7*A1*A3 + 3*A1*A2*A3^(-1)*A4 + 9*A1*A2 + 2*A1*A2*A3*A4^(-1) + 4*m*A2*A3*A4 + 3*m*A1*A3*A4 + 5*m*A1*A2*A4 + 4*m*A1*A2*A3 + 2*m^2*A1*A2*A3*A4 |
| Vertex | Maslov | Rank |
|---|
(-1, -1, -1, -1) | -6 | 2 |
(-1, -1, -1, 1) | -4 | 2 |
(-1, -1, 1, -1) | -4 | 3 |
(-1, -1, 1, 1) | -2 | 2 |
(-1, 1, -1, -1) | -4 | 1 |
(-1, 1, -1, 1) | -2 | 2 |
(-1, 1, 1, -1) | -2 | 2 |
(-1, 1, 1, 1) | 0 | 2 |
(1, -1, -1, -1) | -4 | 2 |
(1, -1, -1, 1) | -2 | 2 |
(1, -1, 1, -1) | -2 | 2 |
(1, -1, 1, 1) | 0 | 1 |
(1, 1, -1, -1) | -2 | 2 |
(1, 1, -1, 1) | 0 | 3 |
(1, 1, 1, -1) | 0 | 2 |
(1, 1, 1, 1) | 2 | 2 |
Record
FL/HFL Links
orderOption(int) |
3617 |
|---|
namestring |
L10a165{1;0;0} |
|---|
statusstring |
success |
|---|
slugstring |
L10a165_1_0_0_b4f1e718 |
|---|
result_filestring |
details/L10a165_1_0_0_b4f1e718.json |
|---|
complexity_scoreOption(int) |
400 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
10 |
|---|
component_countOption(int) |
4 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
512 |
|---|
wall_secondsOption(float) |
0.00476 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
4 |
|---|
support_sizeOption(int) |
81 |
|---|
vertex_countOption(int) |
16 |
|---|
fibered_vertex_countOption(int) |
0 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
16 |
|---|
alexander_vertex_countOption(int) |
16 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a165_1_0_0_b4f1e718"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a165_1_0_0_b4f1e718 |
|---|