details/L11n19_1_59331b7d.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(-3/2) + 2*A1^(1/2)*A2^(-5/2) + 2*A1^(-1/2)*A2^(5/2) - A1^(-1/2)*A2^(3/2)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Polygon of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(1, -5) no
(1, -3) yes
(-1, 5) no
(-1, 3) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
2*m^(-2)*A2^(-3) + 3*m^(-1)*A2^(-2) + 2*m^(-1)*A2^(-1) + 2*m^(-1)*A1*A2^(-3) + 3*A2^(-1) + 3 + 3*A1*A2^(-2) + m*A1^(-1)*A2 + 3*m + 2*m*A2 + m*A1*A2^(-1) + 3*m^2*A1^(-1)*A2^2 + 3*m^2*A2 + 2*m^3*A1^(-1)*A2^3 + 3*m^3*A2^2 + 2*m^4*A2^3
VertexMaslovRank
(-1, 1)11
(0, -3)-22
(1, -3)-12
(1, -1)11
(0, 3)42
(-1, 3)32
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 1596
namestring L11n19{1}
statusstring success
slugstring L11n19_1_59331b7d
result_filestring details/L11n19_1_59331b7d.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 38
wall_secondsOption(float) 0.002832
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 13
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n19_1_59331b7d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n19_1_59331b7d