details/L10a125_0_1_27a08aae.json
Multivariable Alexander polynomial
| ΔL |
-2*A1^(1/2)*A2^(1/2)*A3^(3/2) + 2*A1^(1/2)*A2^(1/2)*A3^(1/2) - 2*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) - 3*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 3*A1^(1/2)*A2^(-1/2)*A3^(-1/2) - 2*A1^(1/2)*A2^(-1/2)*A3^(-3/2) + 2*A1^(-1/2)*A2^(1/2)*A3^(3/2) - 3*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 3*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) + 2*A1^(-1/2)*A2^(-1/2)*A3^(1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) + 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, 1, 3) |
no |
(-1, 1, -3) |
no |
(-1, 1, 3) |
no |
(1, -1, -3) |
no |
(1, -1, 3) |
no |
(-1, -1, -3) |
no |
(-1, -1, 3) |
yes |
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HFL polytope
| Poincaré polynomial |
|---|
2*m^(-7)*A1^(-1)*A2^(-1)*A3^(-2) + 4*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-6)*A1^(-1)*A3^(-2) + 4*m^(-6)*A2^(-1)*A3^(-2) + 4*m^(-5)*A1^(-1)*A2^(-1) + 9*m^(-5)*A1^(-1)*A3^(-1) + 2*m^(-5)*A1^(-1)*A2*A3^(-2) + 9*m^(-5)*A2^(-1)*A3^(-1) + 7*m^(-5)*A3^(-2) + 2*m^(-5)*A1*A2^(-1)*A3^(-2) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3 + 10*m^(-4)*A1^(-1) + 5*m^(-4)*A1^(-1)*A2*A3^(-1) + 10*m^(-4)*A2^(-1) + 17*m^(-4)*A3^(-1) + 3*m^(-4)*A2*A3^(-2) + 5*m^(-4)*A1*A2^(-1)*A3^(-1) + 3*m^(-4)*A1*A3^(-2) + m^(-3)*A1^(-1)*A2^(-1)*A3^2 + 8*m^(-3)*A1^(-1)*A3 + 6*m^(-3)*A1^(-1)*A2 + 8*m^(-3)*A2^(-1)*A3 + 20*m^(-3) + 8*m^(-3)*A2*A3^(-1) + 6*m^(-3)*A1*A2^(-1) + 8*m^(-3)*A1*A3^(-1) + m^(-3)*A1*A2*A3^(-2) + 3*m^(-2)*A1^(-1)*A3^2 + 5*m^(-2)*A1^(-1)*A2*A3 + 3*m^(-2)*A2^(-1)*A3^2 + 17*m^(-2)*A3 + 10*m^(-2)*A2 + 5*m^(-2)*A1*A2^(-1)*A3 + 10*m^(-2)*A1 + 3*m^(-2)*A1*A2*A3^(-1) + 2*m^(-1)*A1^(-1)*A2*A3^2 + 7*m^(-1)*A3^2 + 9*m^(-1)*A2*A3 + 2*m^(-1)*A1*A2^(-1)*A3^2 + 9*m^(-1)*A1*A3 + 4*m^(-1)*A1*A2 + 4*A2*A3^2 + 4*A1*A3^2 + 4*A1*A2*A3 + 2*m*A1*A2*A3^2 |
| Vertex | Maslov | Rank |
|---|
(-1, -1, -2) | -7 | 2 |
(-1, -1, 2) | -3 | 1 |
(-1, 1, -2) | -5 | 2 |
(-1, 1, 2) | -1 | 2 |
(1, -1, -2) | -5 | 2 |
(1, -1, 2) | -1 | 2 |
(1, 1, -2) | -3 | 1 |
(1, 1, 2) | 1 | 2 |
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Record
FL/HFL Links
orderOption(int) |
2006 |
|---|
namestring |
L10a125{0;1} |
|---|
statusstring |
success |
|---|
slugstring |
L10a125_0_1_27a08aae |
|---|
result_filestring |
details/L10a125_0_1_27a08aae.json |
|---|
complexity_scoreOption(int) |
300 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
10 |
|---|
component_countOption(int) |
3 |
|---|
girthOption(int) |
6 |
|---|
total_rankOption(int) |
272 |
|---|
wall_secondsOption(float) |
0.002918 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
3 |
|---|
support_sizeOption(int) |
45 |
|---|
vertex_countOption(int) |
8 |
|---|
fibered_vertex_countOption(int) |
2 |
|---|
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": "L10a125_0_1_27a08aae"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a125_0_1_27a08aae |
|---|