details/L11a482_0_0_50b7f85f.json
Multivariable Alexander polynomial
| ΔL |
2*A1^(1/2)*A2^(3/2)*A3^(1/2) - 2*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) - 2*A1^(1/2)*A2^(-3/2)*A3^(1/2) + 2*A1^(1/2)*A2^(-3/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(3/2)*A3^(1/2) + 2*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) + 2*A1^(-1/2)*A2^(-3/2)*A3^(1/2) - 2*A1^(-1/2)*A2^(-3/2)*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, -3, 1) |
no |
(-1, 3, -1) |
no |
(1, 3, 1) |
no |
(-1, 3, 1) |
no |
(1, 3, -1) |
no |
(-1, -3, 1) |
no |
(1, -3, -1) |
no |
(-1, -3, -1) |
no |
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HFL polytope
| Poincaré polynomial |
|---|
2*m^(-4)*A1^(-1)*A2^(-2)*A3^(-1) + 4*m^(-3)*A1^(-1)*A2^(-2) + 9*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-3)*A2^(-2)*A3^(-1) + 2*m^(-2)*A1^(-1)*A2^(-2)*A3 + 18*m^(-2)*A1^(-1)*A2^(-1) + 14*m^(-2)*A1^(-1)*A3^(-1) + 8*m^(-2)*A2^(-2) + 18*m^(-2)*A2^(-1)*A3^(-1) + 2*m^(-2)*A1*A2^(-2)*A3^(-1) + 9*m^(-1)*A1^(-1)*A2^(-1)*A3 + 28*m^(-1)*A1^(-1) + 9*m^(-1)*A1^(-1)*A2*A3^(-1) + 4*m^(-1)*A2^(-2)*A3 + 36*m^(-1)*A2^(-1) + 28*m^(-1)*A3^(-1) + 4*m^(-1)*A1*A2^(-2) + 9*m^(-1)*A1*A2^(-1)*A3^(-1) + 14*A1^(-1)*A3 + 18*A1^(-1)*A2 + 2*A1^(-1)*A2^2*A3^(-1) + 18*A2^(-1)*A3 + 56 + 18*A2*A3^(-1) + 2*A1*A2^(-2)*A3 + 18*A1*A2^(-1) + 14*A1*A3^(-1) + 9*m*A1^(-1)*A2*A3 + 4*m*A1^(-1)*A2^2 + 28*m*A3 + 36*m*A2 + 4*m*A2^2*A3^(-1) + 9*m*A1*A2^(-1)*A3 + 28*m*A1 + 9*m*A1*A2*A3^(-1) + 2*m^2*A1^(-1)*A2^2*A3 + 18*m^2*A2*A3 + 8*m^2*A2^2 + 14*m^2*A1*A3 + 18*m^2*A1*A2 + 2*m^2*A1*A2^2*A3^(-1) + 4*m^3*A2^2*A3 + 9*m^3*A1*A2*A3 + 4*m^3*A1*A2^2 + 2*m^4*A1*A2^2*A3 |
| Vertex | Maslov | Rank |
|---|
(-1, -2, -1) | -4 | 2 |
(-1, -2, 1) | -2 | 2 |
(-1, 2, -1) | 0 | 2 |
(-1, 2, 1) | 2 | 2 |
(1, -2, -1) | -2 | 2 |
(1, -2, 1) | 0 | 2 |
(1, 2, -1) | 2 | 2 |
(1, 2, 1) | 4 | 2 |
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Record
FL/HFL Links
orderOption(int) |
2685 |
|---|
namestring |
L11a482{0;0} |
|---|
statusstring |
success |
|---|
slugstring |
L11a482_0_0_50b7f85f |
|---|
result_filestring |
details/L11a482_0_0_50b7f85f.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) |
0.004947 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
45 |
|---|
vertex_countOption(int) |
8 |
|---|
fibered_vertex_countOption(int) |
0 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
16 |
|---|
alexander_vertex_countOption(int) |
8 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L11a482_0_0_50b7f85f"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11a482_0_0_50b7f85f |
|---|