details/L10a78_1_78746022.json

Multivariable Alexander polynomial

ΔL
4*A1 - 4*A1*A2^(-1) + A1*A2^(-2) + 4*A2 - 7 + 4*A2^(-1) + A1^(-1)*A2^(2) - 4*A1^(-1)*A2 + 4*A1^(-1)

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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(2, -4) yes
(2, 0) no
(-2, 4) yes
(-2, 0) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
4*m^(-4)*A1^(-3/2)*A2^(-1/2) + 4*m^(-4)*A1^(-1/2)*A2^(-3/2) + m^(-4)*A1^(1/2)*A2^(-5/2) + 8*m^(-3)*A1^(-3/2)*A2^(1/2) + 15*m^(-3)*A1^(-1/2)*A2^(-1/2) + 9*m^(-3)*A1^(1/2)*A2^(-3/2) + m^(-3)*A1^(3/2)*A2^(-5/2) + 5*m^(-2)*A1^(-3/2)*A2^(3/2) + 19*m^(-2)*A1^(-1/2)*A2^(1/2) + 19*m^(-2)*A1^(1/2)*A2^(-1/2) + 5*m^(-2)*A1^(3/2)*A2^(-3/2) + m^(-1)*A1^(-3/2)*A2^(5/2) + 9*m^(-1)*A1^(-1/2)*A2^(3/2) + 15*m^(-1)*A1^(1/2)*A2^(1/2) + 8*m^(-1)*A1^(3/2)*A2^(-1/2) + A1^(-1/2)*A2^(5/2) + 4*A1^(1/2)*A2^(3/2) + 4*A1^(3/2)*A2^(1/2)
VertexMaslovRank
(-3/2, -1/2)-44
(1/2, -5/2)-41
(3/2, -5/2)-31
(3/2, 1/2)04
(-1/2, 5/2)01
(-3/2, 5/2)-11
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 432
namestring L10a78{1}
statusstring success
slugstring L10a78_1_78746022
result_filestring details/L10a78_1_78746022.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 132
wall_secondsOption(float) 0.002441
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 18
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 9
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a78_1_78746022"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a78_1_78746022