details/L6a3_1_43b1b896.json
FL expansions
| Newt(ΔL) vertex |
Exposing functional |
Leading x-power |
Leading q-power |
Inversion datum |
Inversion cycle |
FL |
(-1, 1) |
(1, 1/2) |
x1^(1)x2^(-1) |
q^(-41/2) |
{"0": [1, 1, 1, 1, 1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}
|
|
(-q^(1/2))*x1*x2^(-1) + (q^(-1/2))*x1^(2)*x2^(-2) + (-q^(-9/2))*x1^(4)*x2^(-4) + (q^(-15/2))*x1^(5)*x2^(-5) + (-q^(-31/2))*x1^(7)*x2^(-7) + (q^(-41/2))*x1^(8)*x2^(-8)
|
(1, -1) |
|
x1^(-1)x2^(1) |
q^(-41/2) |
|
|
(-q^(1/2))*x1^(-1)*x2 + (q^(-1/2))*x1^(-2)*x2^(2) + (-q^(-9/2))*x1^(-4)*x2^(4) + (q^(-15/2))*x1^(-5)*x2^(5) + (-q^(-31/2))*x1^(-7)*x2^(7) + (q^(-41/2))*x1^(-8)*x2^(8)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[1, 2, 3, -2, 3, 2, 1, -2] |
2 |
8 |
4 |
Multivariable Alexander polynomial
| ΔL |
A1*A2^(-1) + 1 + A1^(-1)*A2 |
Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.
Dual Thurston polytope
| Vertex | Dual to fibered face |
|---|
(-2, 2) |
yes |
(2, -2) |
yes |
HFL polytope
| Poincaré polynomial |
|---|
m^(-2)*A1^(-3/2)*A2^(1/2) + m^(-2)*A1^(-1/2)*A2^(-1/2) + m^(-2)*A1^(1/2)*A2^(-3/2) + m^(-1)*A1^(-3/2)*A2^(3/2) + 2*m^(-1)*A1^(-1/2)*A2^(1/2) + 2*m^(-1)*A1^(1/2)*A2^(-1/2) + m^(-1)*A1^(3/2)*A2^(-3/2) + A1^(-1/2)*A2^(3/2) + A1^(1/2)*A2^(1/2) + A1^(3/2)*A2^(-1/2) |
| Vertex | Maslov | Rank |
|---|
(-3/2, 1/2) | -2 | 1 |
(1/2, -3/2) | -2 | 1 |
(3/2, -3/2) | -1 | 1 |
(3/2, -1/2) | 0 | 1 |
(-1/2, 3/2) | 0 | 1 |
(-3/2, 3/2) | -1 | 1 |
Record
FL/HFL Links
orderOption(int) |
12 |
|---|
namestring |
L6a3{1} |
|---|
statusstring |
success |
|---|
slugstring |
L6a3_1_43b1b896 |
|---|
result_filestring |
details/L6a3_1_43b1b896.json |
|---|
complexity_scoreOption(int) |
72 |
|---|
strandsOption(int) |
null |
|---|
crossingsOption(int) |
6 |
|---|
component_countOption(int) |
2 |
|---|
girthOption(int) |
4 |
|---|
total_rankOption(int) |
12 |
|---|
wall_secondsOption(float) |
0.001239 |
|---|
backend_secondsOption(float) |
0.0 |
|---|
errorstring |
|
|---|
dimensionOption(int) |
2 |
|---|
support_sizeOption(int) |
10 |
|---|
vertex_countOption(int) |
6 |
|---|
fibered_vertex_countOption(int) |
2 |
|---|
polytope_statusstring |
computed |
|---|
alexander_support_sizeOption(int) |
3 |
|---|
alexander_vertex_countOption(int) |
2 |
|---|
alexander_relationstring |
not_computed |
|---|
fk_countint |
2 |
|---|
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L6a3_1_43b1b896"
} |
|---|
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L6a3_1_43b1b896 |
|---|