details/L11a487_0_0_8c1419f0.json
Multivariable Alexander polynomial
| ΔL |
-A1^(1/2)*A2^(5/2)*A3^(1/2) + A1^(1/2)*A2^(5/2)*A3^(-1/2) + 4*A1^(1/2)*A2^(3/2)*A3^(1/2) - 4*A1^(1/2)*A2^(3/2)*A3^(-1/2) - 7*A1^(1/2)*A2^(1/2)*A3^(1/2) + 7*A1^(1/2)*A2^(1/2)*A3^(-1/2) + 7*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 7*A1^(1/2)*A2^(-1/2)*A3^(-1/2) - 4*A1^(1/2)*A2^(-3/2)*A3^(1/2) + 4*A1^(1/2)*A2^(-3/2)*A3^(-1/2) + A1^(1/2)*A2^(-5/2)*A3^(1/2) - A1^(1/2)*A2^(-5/2)*A3^(-1/2) + A1^(-1/2)*A2^(5/2)*A3^(1/2) - A1^(-1/2)*A2^(5/2)*A3^(-1/2) - 4*A1^(-1/2)*A2^(3/2)*A3^(1/2) + 4*A1^(-1/2)*A2^(3/2)*A3^(-1/2) + 7*A1^(-1/2)*A2^(1/2)*A3^(1/2) - 7*A1^(-1/2)*A2^(1/2)*A3^(-1/2) - 7*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 7*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) + 4*A1^(-1/2)*A2^(-3/2)*A3^(1/2) - 4*A1^(-1/2)*A2^(-3/2)*A3^(-1/2) - A1^(-1/2)*A2^(-5/2)*A3^(1/2) + A1^(-1/2)*A2^(-5/2)*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 |
|---|
(1, 5, 1) |
yes |
(-1, 5, 1) |
yes |
(1, -5, 1) |
yes |
(-1, -5, 1) |
yes |
(1, -5, -1) |
yes |
(-1, 5, -1) |
yes |
(-1, -5, -1) |
yes |
(1, 5, -1) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
m^(-5)*A1^(-1)*A2^(-3)*A3^(-1) + 2*m^(-4)*A1^(-1)*A2^(-3) + 5*m^(-4)*A1^(-1)*A2^(-2)*A3^(-1) + 2*m^(-4)*A2^(-3)*A3^(-1) + m^(-3)*A1^(-1)*A2^(-3)*A3 + 10*m^(-3)*A1^(-1)*A2^(-2) + 11*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-3)*A2^(-3) + 10*m^(-3)*A2^(-2)*A3^(-1) + m^(-3)*A1*A2^(-3)*A3^(-1) + 5*m^(-2)*A1^(-1)*A2^(-2)*A3 + 22*m^(-2)*A1^(-1)*A2^(-1) + 14*m^(-2)*A1^(-1)*A3^(-1) + 2*m^(-2)*A2^(-3)*A3 + 20*m^(-2)*A2^(-2) + 22*m^(-2)*A2^(-1)*A3^(-1) + 2*m^(-2)*A1*A2^(-3) + 5*m^(-2)*A1*A2^(-2)*A3^(-1) + 11*m^(-1)*A1^(-1)*A2^(-1)*A3 + 28*m^(-1)*A1^(-1) + 11*m^(-1)*A1^(-1)*A2*A3^(-1) + 10*m^(-1)*A2^(-2)*A3 + 44*m^(-1)*A2^(-1) + 28*m^(-1)*A3^(-1) + m^(-1)*A1*A2^(-3)*A3 + 10*m^(-1)*A1*A2^(-2) + 11*m^(-1)*A1*A2^(-1)*A3^(-1) + 14*A1^(-1)*A3 + 22*A1^(-1)*A2 + 5*A1^(-1)*A2^2*A3^(-1) + 22*A2^(-1)*A3 + 56 + 22*A2*A3^(-1) + 5*A1*A2^(-2)*A3 + 22*A1*A2^(-1) + 14*A1*A3^(-1) + 11*m*A1^(-1)*A2*A3 + 10*m*A1^(-1)*A2^2 + m*A1^(-1)*A2^3*A3^(-1) + 28*m*A3 + 44*m*A2 + 10*m*A2^2*A3^(-1) + 11*m*A1*A2^(-1)*A3 + 28*m*A1 + 11*m*A1*A2*A3^(-1) + 5*m^2*A1^(-1)*A2^2*A3 + 2*m^2*A1^(-1)*A2^3 + 22*m^2*A2*A3 + 20*m^2*A2^2 + 2*m^2*A2^3*A3^(-1) + 14*m^2*A1*A3 + 22*m^2*A1*A2 + 5*m^2*A1*A2^2*A3^(-1) + m^3*A1^(-1)*A2^3*A3 + 10*m^3*A2^2*A3 + 4*m^3*A2^3 + 11*m^3*A1*A2*A3 + 10*m^3*A1*A2^2 + m^3*A1*A2^3*A3^(-1) + 2*m^4*A2^3*A3 + 5*m^4*A1*A2^2*A3 + 2*m^4*A1*A2^3 + m^5*A1*A2^3*A3 |
| Vertex | Maslov | Rank |
|---|
(-1, -3, -1) | -5 | 1 |
(-1, -3, 1) | -3 | 1 |
(-1, 3, -1) | 1 | 1 |
(-1, 3, 1) | 3 | 1 |
(1, -3, -1) | -3 | 1 |
(1, -3, 1) | -1 | 1 |
(1, 3, -1) | 3 | 1 |
(1, 3, 1) | 5 | 1 |
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Record
FL/HFL Links
orderOption(int) |
2705 |
|---|
namestring |
L11a487{0;0} |
|---|
statusstring |
success |
|---|
slugstring |
L11a487_0_0_8c1419f0 |
|---|
result_filestring |
details/L11a487_0_0_8c1419f0.json |
|---|
complexity_scoreOption(int) |
363 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
11 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
768 |
|---|
wall_secondsOption(float) |
0.008932 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
63 |
|---|
vertex_countOption(int) |
8 |
|---|
fibered_vertex_countOption(int) |
8 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
24 |
|---|
alexander_vertex_countOption(int) |
8 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L11a487_0_0_8c1419f0"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11a487_0_0_8c1419f0 |
|---|