details/L10a133_0_0_bd9a72be.json

Multivariable Alexander polynomial

ΔL
-2*A1^(1/2)*A2*A3 + A1^(1/2)*A2 + 2*A1^(1/2)*A3 - 3*A1^(1/2) + A1^(1/2)*A3^(-1) + 2*A1^(1/2)*A2^(-1) - 2*A1^(1/2)*A2^(-1)*A3^(-1) + 2*A1^(-1/2)*A2*A3 - 2*A1^(-1/2)*A2 - A1^(-1/2)*A3 + 3*A1^(-1/2) - 2*A1^(-1/2)*A3^(-1) - A1^(-1/2)*A2^(-1) + 2*A1^(-1/2)*A2^(-1)*A3^(-1)

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, 2, 2) no
(1, 0, 2) no
(1, 0, -2) yes
(-1, 0, -2) no
(1, 2, 0) yes
(-1, -2, -2) no
(1, -2, -2) no
(1, 2, 2) no
(-1, 2, 0) no
(1, -2, 0) no
(-1, -2, 0) yes
(-1, 0, 2) yes
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
2*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 3*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 4*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 4*m^(-6)*A2^(-3/2)*A3^(-3/2) + m^(-5)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 8*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 2*m^(-5)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 7*m^(-5)*A2^(-3/2)*A3^(-1/2) + 7*m^(-5)*A2^(-1/2)*A3^(-3/2) + 2*m^(-5)*A1*A2^(-3/2)*A3^(-3/2) + 5*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 7*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 3*m^(-4)*A2^(-3/2)*A3^(1/2) + 16*m^(-4)*A2^(-1/2)*A3^(-1/2) + 3*m^(-4)*A2^(1/2)*A3^(-3/2) + 4*m^(-4)*A1*A2^(-3/2)*A3^(-1/2) + 3*m^(-4)*A1*A2^(-1/2)*A3^(-3/2) + m^(-3)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 8*m^(-3)*A1^(-1)*A2^(1/2)*A3^(1/2) + 2*m^(-3)*A1^(-1)*A2^(3/2)*A3^(-1/2) + 12*m^(-3)*A2^(-1/2)*A3^(1/2) + 12*m^(-3)*A2^(1/2)*A3^(-1/2) + 2*m^(-3)*A1*A2^(-3/2)*A3^(1/2) + 8*m^(-3)*A1*A2^(-1/2)*A3^(-1/2) + m^(-3)*A1*A2^(1/2)*A3^(-3/2) + 3*m^(-2)*A1^(-1)*A2^(1/2)*A3^(3/2) + 4*m^(-2)*A1^(-1)*A2^(3/2)*A3^(1/2) + 3*m^(-2)*A2^(-1/2)*A3^(3/2) + 16*m^(-2)*A2^(1/2)*A3^(1/2) + 3*m^(-2)*A2^(3/2)*A3^(-1/2) + 7*m^(-2)*A1*A2^(-1/2)*A3^(1/2) + 5*m^(-2)*A1*A2^(1/2)*A3^(-1/2) + 2*m^(-1)*A1^(-1)*A2^(3/2)*A3^(3/2) + 7*m^(-1)*A2^(1/2)*A3^(3/2) + 7*m^(-1)*A2^(3/2)*A3^(1/2) + 2*m^(-1)*A1*A2^(-1/2)*A3^(3/2) + 8*m^(-1)*A1*A2^(1/2)*A3^(1/2) + m^(-1)*A1*A2^(3/2)*A3^(-1/2) + 4*A2^(3/2)*A3^(3/2) + 4*A1*A2^(1/2)*A3^(3/2) + 3*A1*A2^(3/2)*A3^(1/2) + 2*m*A1*A2^(3/2)*A3^(3/2)
VertexMaslovRank
(-1, -3/2, -3/2)-72
(-1, -3/2, 1/2)-51
(-1, -1/2, 3/2)-31
(-1, 1/2, -3/2)-52
(-1, 3/2, -1/2)-32
(-1, 3/2, 3/2)-12
(1, -3/2, -3/2)-52
(1, -3/2, 1/2)-32
(1, -1/2, 3/2)-12
(1, 1/2, -3/2)-31
(1, 3/2, -1/2)-11
(1, 3/2, 3/2)12
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 2037
namestring L10a133{0;0}
statusstring success
slugstring L10a133_0_0_bd9a72be
result_filestring details/L10a133_0_0_bd9a72be.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 208
wall_secondsOption(float) 0.002626
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 42
vertex_countOption(int) 12
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a133_0_0_bd9a72be"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a133_0_0_bd9a72be