details/L10a125_0_0_a79aff80.json

Multivariable Alexander polynomial

ΔL
-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) + 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) - 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)

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

Interactive 3D view · hover a vertex for coordinates

Dual Thurston polytope

VertexDual to fibered face
(1, 1, -3) no
(1, 1, 3) yes
(-1, 1, -3) no
(-1, 1, 3) no
(1, -1, -3) no
(1, -1, 3) no
(-1, -1, -3) yes
(-1, -1, 3) no
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-1)*A3^(-2) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + 3*m^(-4)*A1^(-1)*A3^(-2) + 3*m^(-4)*A2^(-1)*A3^(-2) + 4*m^(-3)*A1^(-1)*A2^(-1) + 8*m^(-3)*A1^(-1)*A3^(-1) + 2*m^(-3)*A1^(-1)*A2*A3^(-2) + 8*m^(-3)*A2^(-1)*A3^(-1) + 7*m^(-3)*A3^(-2) + 2*m^(-3)*A1*A2^(-1)*A3^(-2) + 4*m^(-2)*A1^(-1)*A2^(-1)*A3 + 10*m^(-2)*A1^(-1) + 5*m^(-2)*A1^(-1)*A2*A3^(-1) + 10*m^(-2)*A2^(-1) + 17*m^(-2)*A3^(-1) + 4*m^(-2)*A2*A3^(-2) + 5*m^(-2)*A1*A2^(-1)*A3^(-1) + 4*m^(-2)*A1*A3^(-2) + 2*m^(-1)*A1^(-1)*A2^(-1)*A3^2 + 9*m^(-1)*A1^(-1)*A3 + 6*m^(-1)*A1^(-1)*A2 + 9*m^(-1)*A2^(-1)*A3 + 20*m^(-1) + 9*m^(-1)*A2*A3^(-1) + 6*m^(-1)*A1*A2^(-1) + 9*m^(-1)*A1*A3^(-1) + 2*m^(-1)*A1*A2*A3^(-2) + 4*A1^(-1)*A3^2 + 5*A1^(-1)*A2*A3 + 4*A2^(-1)*A3^2 + 17*A3 + 10*A2 + 5*A1*A2^(-1)*A3 + 10*A1 + 4*A1*A2*A3^(-1) + 2*m*A1^(-1)*A2*A3^2 + 7*m*A3^2 + 8*m*A2*A3 + 2*m*A1*A2^(-1)*A3^2 + 8*m*A1*A3 + 4*m*A1*A2 + 3*m^2*A2*A3^2 + 3*m^2*A1*A3^2 + 3*m^2*A1*A2*A3 + m^3*A1*A2*A3^2
VertexMaslovRank
(-1, -1, -2)-51
(-1, -1, 2)-12
(-1, 1, -2)-32
(-1, 1, 2)12
(1, -1, -2)-32
(1, -1, 2)12
(1, 1, -2)-12
(1, 1, 2)31
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 2005
namestring L10a125{0;0}
statusstring success
slugstring L10a125_0_0_a79aff80
result_filestring details/L10a125_0_0_a79aff80.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) 0.002973
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 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a125_0_0_a79aff80"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a125_0_0_a79aff80