details/L11a407_1_1_aa9e03d8.json
Multivariable Alexander polynomial
| ΔL |
4*A1^(1/2)*A2*A3 - 4*A1^(1/2)*A2 + A1^(1/2)*A2*A3^(-1) - 4*A1^(1/2)*A3 + 7*A1^(1/2) - 3*A1^(1/2)*A3^(-1) + A1^(1/2)*A2^(-1)*A3 - 3*A1^(1/2)*A2^(-1) + 2*A1^(1/2)*A2^(-1)*A3^(-1) - 2*A1^(-1/2)*A2*A3 + 3*A1^(-1/2)*A2 - A1^(-1/2)*A2*A3^(-1) + 3*A1^(-1/2)*A3 - 7*A1^(-1/2) + 4*A1^(-1/2)*A3^(-1) - A1^(-1/2)*A2^(-1)*A3 + 4*A1^(-1/2)*A2^(-1) - 4*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) |
no |
(1, -2, 2) |
yes |
(-1, 2, -2) |
yes |
(-1, -2, 2) |
yes |
(-1, -2, -2) |
no |
(1, -2, -2) |
no |
(1, 2, 2) |
no |
(1, 2, -2) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
4*m^(-8)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 8*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 8*m^(-7)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 6*m^(-7)*A2^(-3/2)*A3^(-3/2) + 5*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 19*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 5*m^(-6)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 13*m^(-6)*A2^(-3/2)*A3^(-1/2) + 13*m^(-6)*A2^(-1/2)*A3^(-3/2) + 2*m^(-6)*A1*A2^(-3/2)*A3^(-3/2) + m^(-5)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 15*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 15*m^(-5)*A1^(-1)*A2^(1/2)*A3^(-1/2) + m^(-5)*A1^(-1)*A2^(3/2)*A3^(-3/2) + 9*m^(-5)*A2^(-3/2)*A3^(1/2) + 34*m^(-5)*A2^(-1/2)*A3^(-1/2) + 9*m^(-5)*A2^(1/2)*A3^(-3/2) + 5*m^(-5)*A1*A2^(-3/2)*A3^(-1/2) + 5*m^(-5)*A1*A2^(-1/2)*A3^(-3/2) + 4*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 15*m^(-4)*A1^(-1)*A2^(1/2)*A3^(1/2) + 4*m^(-4)*A1^(-1)*A2^(3/2)*A3^(-1/2) + 2*m^(-4)*A2^(-3/2)*A3^(3/2) + 30*m^(-4)*A2^(-1/2)*A3^(1/2) + 30*m^(-4)*A2^(1/2)*A3^(-1/2) + 2*m^(-4)*A2^(3/2)*A3^(-3/2) + 4*m^(-4)*A1*A2^(-3/2)*A3^(1/2) + 15*m^(-4)*A1*A2^(-1/2)*A3^(-1/2) + 4*m^(-4)*A1*A2^(1/2)*A3^(-3/2) + 5*m^(-3)*A1^(-1)*A2^(1/2)*A3^(3/2) + 5*m^(-3)*A1^(-1)*A2^(3/2)*A3^(1/2) + 9*m^(-3)*A2^(-1/2)*A3^(3/2) + 34*m^(-3)*A2^(1/2)*A3^(1/2) + 9*m^(-3)*A2^(3/2)*A3^(-1/2) + m^(-3)*A1*A2^(-3/2)*A3^(3/2) + 15*m^(-3)*A1*A2^(-1/2)*A3^(1/2) + 15*m^(-3)*A1*A2^(1/2)*A3^(-1/2) + m^(-3)*A1*A2^(3/2)*A3^(-3/2) + 2*m^(-2)*A1^(-1)*A2^(3/2)*A3^(3/2) + 13*m^(-2)*A2^(1/2)*A3^(3/2) + 13*m^(-2)*A2^(3/2)*A3^(1/2) + 5*m^(-2)*A1*A2^(-1/2)*A3^(3/2) + 19*m^(-2)*A1*A2^(1/2)*A3^(1/2) + 5*m^(-2)*A1*A2^(3/2)*A3^(-1/2) + 6*m^(-1)*A2^(3/2)*A3^(3/2) + 8*m^(-1)*A1*A2^(1/2)*A3^(3/2) + 8*m^(-1)*A1*A2^(3/2)*A3^(1/2) + 4*A1*A2^(3/2)*A3^(3/2) |
| Vertex | Maslov | Rank |
|---|
(-1, -3/2, -3/2) | -8 | 4 |
(-1, -3/2, 3/2) | -5 | 1 |
(-1, 3/2, -3/2) | -5 | 1 |
(-1, 3/2, 3/2) | -2 | 2 |
(1, -3/2, -3/2) | -6 | 2 |
(1, -3/2, 3/2) | -3 | 1 |
(1, 3/2, -3/2) | -3 | 1 |
(1, 3/2, 3/2) | 0 | 4 |
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Record
FL/HFL Links
orderOption(int) |
2388 |
|---|
namestring |
L11a407{1;1} |
|---|
statusstring |
success |
|---|
slugstring |
L11a407_1_1_aa9e03d8 |
|---|
result_filestring |
details/L11a407_1_1_aa9e03d8.json |
|---|
complexity_scoreOption(int) |
363 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
11 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
464 |
|---|
wall_secondsOption(float) |
0.004796 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
48 |
|---|
vertex_countOption(int) |
8 |
|---|
fibered_vertex_countOption(int) |
4 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
18 |
|---|
alexander_vertex_countOption(int) |
8 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L11a407_1_1_aa9e03d8"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11a407_1_1_aa9e03d8 |
|---|