details/L11a530_0_0_337c2f5f.json
Multivariable Alexander polynomial
| ΔL |
-A1*A2^(1/2)*A3 + 3*A1*A2^(1/2) - 2*A1*A2^(1/2)*A3^(-1) + 2*A1*A2^(-1/2)*A3 - 5*A1*A2^(-1/2) + 3*A1*A2^(-1/2)*A3^(-1) - A1*A2^(-3/2)*A3 + 2*A1*A2^(-3/2) + A2^(3/2) - A2^(3/2)*A3^(-1) + 3*A2^(1/2)*A3 - 8*A2^(1/2) + 4*A2^(1/2)*A3^(-1) - 4*A2^(-1/2)*A3 + 8*A2^(-1/2) - 3*A2^(-1/2)*A3^(-1) + A2^(-3/2)*A3 - A2^(-3/2) - 2*A1^(-1)*A2^(3/2) + A1^(-1)*A2^(3/2)*A3^(-1) - 3*A1^(-1)*A2^(1/2)*A3 + 5*A1^(-1)*A2^(1/2) - 2*A1^(-1)*A2^(1/2)*A3^(-1) + 2*A1^(-1)*A2^(-1/2)*A3 - 3*A1^(-1)*A2^(-1/2) + A1^(-1)*A2^(-1/2)*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 |
|---|
(-2, 1, 2) |
no |
(0, 3, -2) |
yes |
(0, -3, 0) |
yes |
(-2, -1, 2) |
no |
(-2, 3, -2) |
yes |
(-2, -1, -2) |
yes |
(2, -3, 2) |
yes |
(0, 3, 0) |
yes |
(0, -3, 2) |
yes |
(2, -3, 0) |
no |
(2, 1, 2) |
yes |
(2, -1, -2) |
no |
(-2, 3, 0) |
no |
(2, 1, -2) |
no |
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HFL polytope
| Poincaré polynomial |
|---|
m^(-5)*A1^(-3/2)*A2^(-1)*A3^(-3/2) + 4*m^(-4)*A1^(-3/2)*A2^(-1)*A3^(-1/2) + 3*m^(-4)*A1^(-3/2)*A3^(-3/2) + m^(-4)*A1^(-1/2)*A2^(-2)*A3^(-1/2) + 4*m^(-4)*A1^(-1/2)*A2^(-1)*A3^(-3/2) + 5*m^(-3)*A1^(-3/2)*A2^(-1)*A3^(1/2) + 11*m^(-3)*A1^(-3/2)*A3^(-1/2) + 3*m^(-3)*A1^(-3/2)*A2*A3^(-3/2) + 2*m^(-3)*A1^(-1/2)*A2^(-2)*A3^(1/2) + 16*m^(-3)*A1^(-1/2)*A2^(-1)*A3^(-1/2) + 10*m^(-3)*A1^(-1/2)*A3^(-3/2) + 3*m^(-3)*A1^(1/2)*A2^(-2)*A3^(-1/2) + 6*m^(-3)*A1^(1/2)*A2^(-1)*A3^(-3/2) + 2*m^(-2)*A1^(-3/2)*A2^(-1)*A3^(3/2) + 13*m^(-2)*A1^(-3/2)*A3^(1/2) + 10*m^(-2)*A1^(-3/2)*A2*A3^(-1/2) + m^(-2)*A1^(-3/2)*A2^2*A3^(-3/2) + m^(-2)*A1^(-1/2)*A2^(-2)*A3^(3/2) + 19*m^(-2)*A1^(-1/2)*A2^(-1)*A3^(1/2) + 34*m^(-2)*A1^(-1/2)*A3^(-1/2) + 8*m^(-2)*A1^(-1/2)*A2*A3^(-3/2) + 5*m^(-2)*A1^(1/2)*A2^(-2)*A3^(1/2) + 22*m^(-2)*A1^(1/2)*A2^(-1)*A3^(-1/2) + 12*m^(-2)*A1^(1/2)*A3^(-3/2) + 2*m^(-2)*A1^(3/2)*A2^(-2)*A3^(-1/2) + 3*m^(-2)*A1^(3/2)*A2^(-1)*A3^(-3/2) + 5*m^(-1)*A1^(-3/2)*A3^(3/2) + 10*m^(-1)*A1^(-3/2)*A2*A3^(1/2) + 3*m^(-1)*A1^(-3/2)*A2^2*A3^(-1/2) + 7*m^(-1)*A1^(-1/2)*A2^(-1)*A3^(3/2) + 36*m^(-1)*A1^(-1/2)*A3^(1/2) + 24*m^(-1)*A1^(-1/2)*A2*A3^(-1/2) + 2*m^(-1)*A1^(-1/2)*A2^2*A3^(-3/2) + 2*m^(-1)*A1^(1/2)*A2^(-2)*A3^(3/2) + 24*m^(-1)*A1^(1/2)*A2^(-1)*A3^(1/2) + 36*m^(-1)*A1^(1/2)*A3^(-1/2) + 7*m^(-1)*A1^(1/2)*A2*A3^(-3/2) + 3*m^(-1)*A1^(3/2)*A2^(-2)*A3^(1/2) + 10*m^(-1)*A1^(3/2)*A2^(-1)*A3^(-1/2) + 5*m^(-1)*A1^(3/2)*A3^(-3/2) + 3*A1^(-3/2)*A2*A3^(3/2) + 2*A1^(-3/2)*A2^2*A3^(1/2) + 12*A1^(-1/2)*A3^(3/2) + 22*A1^(-1/2)*A2*A3^(1/2) + 5*A1^(-1/2)*A2^2*A3^(-1/2) + 8*A1^(1/2)*A2^(-1)*A3^(3/2) + 34*A1^(1/2)*A3^(1/2) + 19*A1^(1/2)*A2*A3^(-1/2) + A1^(1/2)*A2^2*A3^(-3/2) + A1^(3/2)*A2^(-2)*A3^(3/2) + 10*A1^(3/2)*A2^(-1)*A3^(1/2) + 13*A1^(3/2)*A3^(-1/2) + 2*A1^(3/2)*A2*A3^(-3/2) + 6*m*A1^(-1/2)*A2*A3^(3/2) + 3*m*A1^(-1/2)*A2^2*A3^(1/2) + 10*m*A1^(1/2)*A3^(3/2) + 16*m*A1^(1/2)*A2*A3^(1/2) + 2*m*A1^(1/2)*A2^2*A3^(-1/2) + 3*m*A1^(3/2)*A2^(-1)*A3^(3/2) + 11*m*A1^(3/2)*A3^(1/2) + 5*m*A1^(3/2)*A2*A3^(-1/2) + 4*m^2*A1^(1/2)*A2*A3^(3/2) + m^2*A1^(1/2)*A2^2*A3^(1/2) + 3*m^2*A1^(3/2)*A3^(3/2) + 4*m^2*A1^(3/2)*A2*A3^(1/2) + m^3*A1^(3/2)*A2*A3^(3/2) |
| Vertex | Maslov | Rank |
|---|
(-3/2, -1, -3/2) | -5 | 1 |
(-3/2, -1, 3/2) | -2 | 2 |
(-3/2, 1, 3/2) | 0 | 3 |
(-3/2, 2, -3/2) | -2 | 1 |
(-3/2, 2, 1/2) | 0 | 2 |
(-1/2, -2, -1/2) | -4 | 1 |
(-1/2, -2, 3/2) | -2 | 1 |
(1/2, 2, -3/2) | 0 | 1 |
(1/2, 2, 1/2) | 2 | 1 |
(3/2, -2, -1/2) | -2 | 2 |
(3/2, -2, 3/2) | 0 | 1 |
(3/2, -1, -3/2) | -2 | 3 |
(3/2, 1, -3/2) | 0 | 2 |
(3/2, 1, 3/2) | 3 | 1 |
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Record
FL/HFL Links
orderOption(int) |
2877 |
|---|
namestring |
L11a530{0;0} |
|---|
statusstring |
success |
|---|
slugstring |
L11a530_0_0_337c2f5f |
|---|
result_filestring |
details/L11a530_0_0_337c2f5f.json |
|---|
complexity_scoreOption(int) |
363 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
11 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
576 |
|---|
wall_secondsOption(float) |
0.00492 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
66 |
|---|
vertex_countOption(int) |
14 |
|---|
fibered_vertex_countOption(int) |
8 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
26 |
|---|
alexander_vertex_countOption(int) |
14 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L11a530_0_0_337c2f5f"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11a530_0_0_337c2f5f |
|---|