details/L10a131_1_1_478e2ebd.json
Multivariable Alexander polynomial
| ΔL |
-2*A1^(1/2)*A2*A3 + 3*A1^(1/2)*A2 - A1^(1/2)*A2*A3^(-1) + A1^(1/2)*A3 - 4*A1^(1/2) + 3*A1^(1/2)*A3^(-1) + A1^(1/2)*A2^(-1) - 2*A1^(1/2)*A2^(-1)*A3^(-1) + 2*A1^(-1/2)*A2*A3 - A1^(-1/2)*A2 - 3*A1^(-1/2)*A3 + 4*A1^(-1/2) - 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) |
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, 0, -2) |
yes |
(-1, -2, -2) |
no |
(1, -2, -2) |
no |
(1, 2, 2) |
no |
(-1, 2, 0) |
yes |
(1, -2, 0) |
yes |
(1, 0, 2) |
yes |
(1, 2, -2) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
2*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 5*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 3*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 4*m^(-6)*A2^(-3/2)*A3^(-3/2) + 4*m^(-5)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 10*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + m^(-5)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 8*m^(-5)*A2^(-3/2)*A3^(-1/2) + 8*m^(-5)*A2^(-1/2)*A3^(-3/2) + 2*m^(-5)*A1*A2^(-3/2)*A3^(-3/2) + m^(-4)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 11*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 6*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 5*m^(-4)*A2^(-3/2)*A3^(1/2) + 20*m^(-4)*A2^(-1/2)*A3^(-1/2) + 5*m^(-4)*A2^(1/2)*A3^(-3/2) + 3*m^(-4)*A1*A2^(-3/2)*A3^(-1/2) + 5*m^(-4)*A1*A2^(-1/2)*A3^(-3/2) + 4*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 10*m^(-3)*A1^(-1)*A2^(1/2)*A3^(1/2) + m^(-3)*A1^(-1)*A2^(3/2)*A3^(-1/2) + m^(-3)*A2^(-3/2)*A3^(3/2) + 17*m^(-3)*A2^(-1/2)*A3^(1/2) + 17*m^(-3)*A2^(1/2)*A3^(-1/2) + m^(-3)*A2^(3/2)*A3^(-3/2) + m^(-3)*A1*A2^(-3/2)*A3^(1/2) + 10*m^(-3)*A1*A2^(-1/2)*A3^(-1/2) + 4*m^(-3)*A1*A2^(1/2)*A3^(-3/2) + 5*m^(-2)*A1^(-1)*A2^(1/2)*A3^(3/2) + 3*m^(-2)*A1^(-1)*A2^(3/2)*A3^(1/2) + 5*m^(-2)*A2^(-1/2)*A3^(3/2) + 20*m^(-2)*A2^(1/2)*A3^(1/2) + 5*m^(-2)*A2^(3/2)*A3^(-1/2) + 6*m^(-2)*A1*A2^(-1/2)*A3^(1/2) + 11*m^(-2)*A1*A2^(1/2)*A3^(-1/2) + m^(-2)*A1*A2^(3/2)*A3^(-3/2) + 2*m^(-1)*A1^(-1)*A2^(3/2)*A3^(3/2) + 8*m^(-1)*A2^(1/2)*A3^(3/2) + 8*m^(-1)*A2^(3/2)*A3^(1/2) + m^(-1)*A1*A2^(-1/2)*A3^(3/2) + 10*m^(-1)*A1*A2^(1/2)*A3^(1/2) + 4*m^(-1)*A1*A2^(3/2)*A3^(-1/2) + 4*A2^(3/2)*A3^(3/2) + 3*A1*A2^(1/2)*A3^(3/2) + 5*A1*A2^(3/2)*A3^(1/2) + 2*m*A1*A2^(3/2)*A3^(3/2) |
| Vertex | Maslov | Rank |
|---|
(-1, -3/2, -3/2) | -7 | 2 |
(-1, -3/2, 3/2) | -4 | 1 |
(-1, 1/2, -3/2) | -5 | 1 |
(-1, 3/2, -1/2) | -3 | 1 |
(-1, 3/2, 3/2) | -1 | 2 |
(0, -3/2, 3/2) | -3 | 1 |
(0, 3/2, -3/2) | -3 | 1 |
(1, -3/2, -3/2) | -5 | 2 |
(1, -3/2, 1/2) | -3 | 1 |
(1, -1/2, 3/2) | -1 | 1 |
(1, 3/2, -3/2) | -2 | 1 |
(1, 3/2, 3/2) | 1 | 2 |
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Record
FL/HFL Links
orderOption(int) |
2032 |
|---|
namestring |
L10a131{1;1} |
|---|
statusstring |
success |
|---|
slugstring |
L10a131_1_1_478e2ebd |
|---|
result_filestring |
details/L10a131_1_1_478e2ebd.json |
|---|
complexity_scoreOption(int) |
300 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
10 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
272 |
|---|
wall_secondsOption(float) |
0.002687 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
46 |
|---|
vertex_countOption(int) |
12 |
|---|
fibered_vertex_countOption(int) |
6 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
16 |
|---|
alexander_vertex_countOption(int) |
10 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a131_1_1_478e2ebd"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a131_1_1_478e2ebd |
|---|