details/L11a464_0_1_d8b25a74.json

Multivariable Alexander polynomial

ΔL
-2*A1^(1/2)*A2^(3/2)*A3^(1/2) + 2*A1^(1/2)*A2^(3/2)*A3^(-1/2) + 6*A1^(1/2)*A2^(1/2)*A3^(1/2) - 6*A1^(1/2)*A2^(1/2)*A3^(-1/2) - 6*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 6*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + 2*A1^(1/2)*A2^(-3/2)*A3^(1/2) - 2*A1^(1/2)*A2^(-3/2)*A3^(-1/2) + 2*A1^(-1/2)*A2^(3/2)*A3^(1/2) - 2*A1^(-1/2)*A2^(3/2)*A3^(-1/2) - 6*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 6*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + 6*A1^(-1/2)*A2^(-1/2)*A3^(1/2) - 6*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(-3/2)*A3^(1/2) + 2*A1^(-1/2)*A2^(-3/2)*A3^(-1/2)

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

HFL polytope

Poincaré polynomial
2*m^(-5)*A1^(-1)*A2^(-2)*A3^(-1) + 4*m^(-4)*A1^(-1)*A2^(-2) + 8*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-4)*A2^(-2)*A3^(-1) + 2*m^(-3)*A1^(-1)*A2^(-2)*A3 + 16*m^(-3)*A1^(-1)*A2^(-1) + 12*m^(-3)*A1^(-1)*A3^(-1) + 8*m^(-3)*A2^(-2) + 16*m^(-3)*A2^(-1)*A3^(-1) + 2*m^(-3)*A1*A2^(-2)*A3^(-1) + 8*m^(-2)*A1^(-1)*A2^(-1)*A3 + 24*m^(-2)*A1^(-1) + 8*m^(-2)*A1^(-1)*A2*A3^(-1) + 4*m^(-2)*A2^(-2)*A3 + 32*m^(-2)*A2^(-1) + 24*m^(-2)*A3^(-1) + 4*m^(-2)*A1*A2^(-2) + 8*m^(-2)*A1*A2^(-1)*A3^(-1) + 12*m^(-1)*A1^(-1)*A3 + 16*m^(-1)*A1^(-1)*A2 + 2*m^(-1)*A1^(-1)*A2^2*A3^(-1) + 16*m^(-1)*A2^(-1)*A3 + 48*m^(-1) + 16*m^(-1)*A2*A3^(-1) + 2*m^(-1)*A1*A2^(-2)*A3 + 16*m^(-1)*A1*A2^(-1) + 12*m^(-1)*A1*A3^(-1) + 8*A1^(-1)*A2*A3 + 4*A1^(-1)*A2^2 + 24*A3 + 32*A2 + 4*A2^2*A3^(-1) + 8*A1*A2^(-1)*A3 + 24*A1 + 8*A1*A2*A3^(-1) + 2*m*A1^(-1)*A2^2*A3 + 16*m*A2*A3 + 8*m*A2^2 + 12*m*A1*A3 + 16*m*A1*A2 + 2*m*A1*A2^2*A3^(-1) + 4*m^2*A2^2*A3 + 8*m^2*A1*A2*A3 + 4*m^2*A1*A2^2 + 2*m^3*A1*A2^2*A3
VertexMaslovRank
(-1, -2, -1)-52
(-1, -2, 1)-32
(-1, 2, -1)-12
(-1, 2, 1)12
(1, -2, -1)-32
(1, -2, 1)-12
(1, 2, -1)12
(1, 2, 1)32
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 2614
namestring L11a464{0;1}
statusstring success
slugstring L11a464_0_1_d8b25a74
result_filestring details/L11a464_0_1_d8b25a74.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 512
wall_secondsOption(float) 0.005645
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 45
vertex_countOption(int) 8
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a464_0_1_d8b25a74"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a464_0_1_d8b25a74