details/L11n351_1_1_1aba1b96.json
Multivariable Alexander polynomial
| ΔL |
-A1^(1/2)*A2^(1/2)*A3^(3/2) + 3*A1^(1/2)*A2^(1/2)*A3^(1/2) - 4*A1^(1/2)*A2^(1/2)*A3^(-1/2) + A1^(1/2)*A2^(1/2)*A3^(-3/2) + 2*A1^(1/2)*A2^(-1/2)*A3^(3/2) - 4*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 3*A1^(1/2)*A2^(-1/2)*A3^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(-3/2) - A1^(1/2)*A2^(-3/2)*A3^(3/2) + A1^(1/2)*A2^(-3/2)*A3^(1/2) - A1^(-1/2)*A2^(3/2)*A3^(-1/2) + A1^(-1/2)*A2^(3/2)*A3^(-3/2) + A1^(-1/2)*A2^(1/2)*A3^(3/2) - 3*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 4*A1^(-1/2)*A2^(1/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(1/2)*A3^(-3/2) - A1^(-1/2)*A2^(-1/2)*A3^(3/2) + 4*A1^(-1/2)*A2^(-1/2)*A3^(1/2) - 3*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-3/2) |
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, 1, -3) |
yes |
(1, -3, 1) |
yes |
(-1, 3, -1) |
yes |
(1, 1, 3) |
yes |
(1, -3, 3) |
yes |
(-1, 1, 3) |
yes |
(1, -1, -3) |
yes |
(-1, 3, -3) |
yes |
(-1, -1, -3) |
yes |
(-1, -1, 3) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
m^(-5)*A1^(-1)*A2^(-1)*A3^(-2) + 4*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + 3*m^(-4)*A1^(-1)*A3^(-2) + 2*m^(-4)*A2^(-1)*A3^(-2) + 7*m^(-3)*A1^(-1)*A2^(-1) + 10*m^(-3)*A1^(-1)*A3^(-1) + 3*m^(-3)*A1^(-1)*A2*A3^(-2) + m^(-3)*A2^(-2) + 8*m^(-3)*A2^(-1)*A3^(-1) + 5*m^(-3)*A3^(-2) + m^(-3)*A1*A2^(-1)*A3^(-2) + 5*m^(-2)*A1^(-1)*A2^(-1)*A3 + 14*m^(-2)*A1^(-1) + 8*m^(-2)*A1^(-1)*A2*A3^(-1) + m^(-2)*A1^(-1)*A2^2*A3^(-2) + 2*m^(-2)*A2^(-2)*A3 + 15*m^(-2)*A2^(-1) + 19*m^(-2)*A3^(-1) + 4*m^(-2)*A2*A3^(-2) + m^(-2)*A1*A2^(-2) + 4*m^(-2)*A1*A2^(-1)*A3^(-1) + 2*m^(-2)*A1*A3^(-2) + m^(-1)*A1^(-1)*A2^(-1)*A3^2 + 9*m^(-1)*A1^(-1)*A3 + 8*m^(-1)*A1^(-1)*A2 + 2*m^(-1)*A1^(-1)*A2^2*A3^(-1) + m^(-1)*A2^(-2)*A3^2 + 13*m^(-1)*A2^(-1)*A3 + 28*m^(-1) + 13*m^(-1)*A2*A3^(-1) + m^(-1)*A2^2*A3^(-2) + 2*m^(-1)*A1*A2^(-2)*A3 + 8*m^(-1)*A1*A2^(-1) + 9*m^(-1)*A1*A3^(-1) + m^(-1)*A1*A2*A3^(-2) + 2*A1^(-1)*A3^2 + 4*A1^(-1)*A2*A3 + A1^(-1)*A2^2 + 4*A2^(-1)*A3^2 + 19*A3 + 15*A2 + 2*A2^2*A3^(-1) + A1*A2^(-2)*A3^2 + 8*A1*A2^(-1)*A3 + 14*A1 + 5*A1*A2*A3^(-1) + m*A1^(-1)*A2*A3^2 + 5*m*A3^2 + 8*m*A2*A3 + m*A2^2 + 3*m*A1*A2^(-1)*A3^2 + 10*m*A1*A3 + 7*m*A1*A2 + 2*m^2*A2*A3^2 + 3*m^2*A1*A3^2 + 4*m^2*A1*A2*A3 + m^3*A1*A2*A3^2 |
| Vertex | Maslov | Rank |
|---|
(-1, -1, -2) | -5 | 1 |
(-1, -1, 2) | -1 | 1 |
(-1, 1, 2) | 1 | 1 |
(-1, 2, -2) | -2 | 1 |
(-1, 2, 0) | 0 | 1 |
(0, -2, 0) | -3 | 1 |
(0, -2, 2) | -1 | 1 |
(0, 2, -2) | -1 | 1 |
(0, 2, 0) | 1 | 1 |
(1, -2, 0) | -2 | 1 |
(1, -2, 2) | 0 | 1 |
(1, -1, -2) | -3 | 1 |
(1, 1, -2) | -1 | 1 |
(1, 1, 2) | 3 | 1 |
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Record
FL/HFL Links
orderOption(int) |
3268 |
|---|
namestring |
L11n351{1;1} |
|---|
statusstring |
success |
|---|
slugstring |
L11n351_1_1_1aba1b96 |
|---|
result_filestring |
details/L11n351_1_1_1aba1b96.json |
|---|
complexity_scoreOption(int) |
363 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
11 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
336 |
|---|
wall_secondsOption(float) |
0.004069 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
57 |
|---|
vertex_countOption(int) |
14 |
|---|
fibered_vertex_countOption(int) |
10 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
20 |
|---|
alexander_vertex_countOption(int) |
10 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
0 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L11n351_1_1_1aba1b96"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L11n351_1_1_1aba1b96 |
|---|