details/L10a156_1_1_79aa1dec.json
Multivariable Alexander polynomial
| ΔL |
A1*A2*A3^(1/2) - A1*A2*A3^(-1/2) - 2*A1*A3^(1/2) + 3*A1*A3^(-1/2) - A1*A3^(-3/2) + A1*A2^(-1)*A3^(1/2) - 2*A1*A2^(-1)*A3^(-1/2) + A1*A2^(-1)*A3^(-3/2) + A2*A3^(3/2) - 3*A2*A3^(1/2) + 2*A2*A3^(-1/2) - A3^(3/2) + 6*A3^(1/2) - 6*A3^(-1/2) + A3^(-3/2) - 2*A2^(-1)*A3^(1/2) + 3*A2^(-1)*A3^(-1/2) - A2^(-1)*A3^(-3/2) - A1^(-1)*A2*A3^(3/2) + 2*A1^(-1)*A2*A3^(1/2) - A1^(-1)*A2*A3^(-1/2) + A1^(-1)*A3^(3/2) - 3*A1^(-1)*A3^(1/2) + 2*A1^(-1)*A3^(-1/2) + A1^(-1)*A2^(-1)*A3^(1/2) - A1^(-1)*A2^(-1)*A3^(-1/2) |
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 |
|---|
(-2, 2, -1) |
yes |
(0, 0, -3) |
yes |
(0, 0, 3) |
yes |
(-2, -2, -1) |
yes |
(0, 2, 3) |
yes |
(-2, -2, 1) |
yes |
(-2, 0, 3) |
yes |
(0, -2, -3) |
yes |
(2, 2, -1) |
yes |
(2, 0, -3) |
yes |
(-2, 2, 3) |
yes |
(2, 2, 1) |
yes |
(2, -2, 1) |
yes |
(2, -2, -3) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
m^(-4)*A1^(-3/2)*A2^(-3/2)*A3^(-1) + m^(-4)*A1^(-1/2)*A2^(-3/2)*A3^(-2) + 2*m^(-3)*A1^(-3/2)*A2^(-3/2) + 3*m^(-3)*A1^(-3/2)*A2^(-1/2)*A3^(-1) + 5*m^(-3)*A1^(-1/2)*A2^(-3/2)*A3^(-1) + 2*m^(-3)*A1^(-1/2)*A2^(-1/2)*A3^(-2) + 2*m^(-3)*A1^(1/2)*A2^(-3/2)*A3^(-2) + m^(-2)*A1^(-3/2)*A2^(-3/2)*A3 + 7*m^(-2)*A1^(-3/2)*A2^(-1/2) + 3*m^(-2)*A1^(-3/2)*A2^(1/2)*A3^(-1) + 7*m^(-2)*A1^(-1/2)*A2^(-3/2) + 14*m^(-2)*A1^(-1/2)*A2^(-1/2)*A3^(-1) + m^(-2)*A1^(-1/2)*A2^(1/2)*A3^(-2) + 7*m^(-2)*A1^(1/2)*A2^(-3/2)*A3^(-1) + 4*m^(-2)*A1^(1/2)*A2^(-1/2)*A3^(-2) + m^(-2)*A1^(3/2)*A2^(-3/2)*A3^(-2) + 5*m^(-1)*A1^(-3/2)*A2^(-1/2)*A3 + 8*m^(-1)*A1^(-3/2)*A2^(1/2) + m^(-1)*A1^(-3/2)*A2^(3/2)*A3^(-1) + 3*m^(-1)*A1^(-1/2)*A2^(-3/2)*A3 + 24*m^(-1)*A1^(-1/2)*A2^(-1/2) + 12*m^(-1)*A1^(-1/2)*A2^(1/2)*A3^(-1) + 8*m^(-1)*A1^(1/2)*A2^(-3/2) + 18*m^(-1)*A1^(1/2)*A2^(-1/2)*A3^(-1) + 2*m^(-1)*A1^(1/2)*A2^(1/2)*A3^(-2) + 3*m^(-1)*A1^(3/2)*A2^(-3/2)*A3^(-1) + 2*m^(-1)*A1^(3/2)*A2^(-1/2)*A3^(-2) + A1^(-3/2)*A2^(-1/2)*A3^2 + 7*A1^(-3/2)*A2^(1/2)*A3 + 3*A1^(-3/2)*A2^(3/2) + 14*A1^(-1/2)*A2^(-1/2)*A3 + 25*A1^(-1/2)*A2^(1/2) + 3*A1^(-1/2)*A2^(3/2)*A3^(-1) + 3*A1^(1/2)*A2^(-3/2)*A3 + 25*A1^(1/2)*A2^(-1/2) + 14*A1^(1/2)*A2^(1/2)*A3^(-1) + 3*A1^(3/2)*A2^(-3/2) + 7*A1^(3/2)*A2^(-1/2)*A3^(-1) + A1^(3/2)*A2^(1/2)*A3^(-2) + 2*m*A1^(-3/2)*A2^(1/2)*A3^2 + 3*m*A1^(-3/2)*A2^(3/2)*A3 + 2*m*A1^(-1/2)*A2^(-1/2)*A3^2 + 18*m*A1^(-1/2)*A2^(1/2)*A3 + 8*m*A1^(-1/2)*A2^(3/2) + 12*m*A1^(1/2)*A2^(-1/2)*A3 + 24*m*A1^(1/2)*A2^(1/2) + 3*m*A1^(1/2)*A2^(3/2)*A3^(-1) + m*A1^(3/2)*A2^(-3/2)*A3 + 8*m*A1^(3/2)*A2^(-1/2) + 5*m*A1^(3/2)*A2^(1/2)*A3^(-1) + m^2*A1^(-3/2)*A2^(3/2)*A3^2 + 4*m^2*A1^(-1/2)*A2^(1/2)*A3^2 + 7*m^2*A1^(-1/2)*A2^(3/2)*A3 + m^2*A1^(1/2)*A2^(-1/2)*A3^2 + 14*m^2*A1^(1/2)*A2^(1/2)*A3 + 7*m^2*A1^(1/2)*A2^(3/2) + 3*m^2*A1^(3/2)*A2^(-1/2)*A3 + 7*m^2*A1^(3/2)*A2^(1/2) + m^2*A1^(3/2)*A2^(3/2)*A3^(-1) + 2*m^3*A1^(-1/2)*A2^(3/2)*A3^2 + 2*m^3*A1^(1/2)*A2^(1/2)*A3^2 + 5*m^3*A1^(1/2)*A2^(3/2)*A3 + 3*m^3*A1^(3/2)*A2^(1/2)*A3 + 2*m^3*A1^(3/2)*A2^(3/2) + m^4*A1^(1/2)*A2^(3/2)*A3^2 + m^4*A1^(3/2)*A2^(3/2)*A3 |
| Vertex | Maslov | Rank |
|---|
(-3/2, -3/2, -1) | -4 | 1 |
(-3/2, -3/2, 1) | -2 | 1 |
(-3/2, -1/2, 2) | 0 | 1 |
(-3/2, 3/2, -1) | -1 | 1 |
(-3/2, 3/2, 2) | 2 | 1 |
(-1/2, -3/2, -2) | -4 | 1 |
(-1/2, 1/2, -2) | -2 | 1 |
(1/2, -1/2, 2) | 2 | 1 |
(1/2, 3/2, 2) | 4 | 1 |
(3/2, -3/2, -2) | -2 | 1 |
(3/2, -3/2, 1) | 1 | 1 |
(3/2, 1/2, -2) | 0 | 1 |
(3/2, 3/2, -1) | 2 | 1 |
(3/2, 3/2, 1) | 4 | 1 |
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Record
FL/HFL Links
orderOption(int) |
2132 |
|---|
namestring |
L10a156{1;1} |
|---|
statusstring |
success |
|---|
slugstring |
L10a156_1_1_79aa1dec |
|---|
result_filestring |
details/L10a156_1_1_79aa1dec.json |
|---|
complexity_scoreOption(int) |
300 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
10 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
400 |
|---|
wall_secondsOption(float) |
0.004061 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
66 |
|---|
vertex_countOption(int) |
14 |
|---|
fibered_vertex_countOption(int) |
14 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
26 |
|---|
alexander_vertex_countOption(int) |
14 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
4 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a156_1_1_79aa1dec"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a156_1_1_79aa1dec |
|---|