details/L11a385_1_1_ea2bb66c.json

Multivariable Alexander polynomial

ΔL
4*A1^(1/2)*A2^(1/2)*A3^(3/2) - 7*A1^(1/2)*A2^(1/2)*A3^(1/2) + 6*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) + 4*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 4*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) + 4*A1^(-1/2)*A2^(1/2)*A3^(1/2) - 4*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) - 6*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 7*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - 4*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) no
(-1, 1, -3) no
(-1, 1, 3) no
(1, -1, -3) no
(1, -1, 3) no
(-1, -1, -3) no
(-1, -1, 3) no
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
4*m^(-8)*A1^(-1)*A2^(-1)*A3^(-2) + 11*m^(-7)*A1^(-1)*A2^(-1)*A3^(-1) + 6*m^(-7)*A1^(-1)*A3^(-2) + 6*m^(-7)*A2^(-1)*A3^(-2) + 13*m^(-6)*A1^(-1)*A2^(-1) + 17*m^(-6)*A1^(-1)*A3^(-1) + 2*m^(-6)*A1^(-1)*A2*A3^(-2) + 17*m^(-6)*A2^(-1)*A3^(-1) + 10*m^(-6)*A3^(-2) + 2*m^(-6)*A1*A2^(-1)*A3^(-2) + 8*m^(-5)*A1^(-1)*A2^(-1)*A3 + 21*m^(-5)*A1^(-1) + 6*m^(-5)*A1^(-1)*A2*A3^(-1) + 21*m^(-5)*A2^(-1) + 31*m^(-5)*A3^(-1) + 4*m^(-5)*A2*A3^(-2) + 6*m^(-5)*A1*A2^(-1)*A3^(-1) + 4*m^(-5)*A1*A3^(-2) + 2*m^(-4)*A1^(-1)*A2^(-1)*A3^2 + 14*m^(-4)*A1^(-1)*A3 + 8*m^(-4)*A1^(-1)*A2 + 14*m^(-4)*A2^(-1)*A3 + 42*m^(-4) + 14*m^(-4)*A2*A3^(-1) + 8*m^(-4)*A1*A2^(-1) + 14*m^(-4)*A1*A3^(-1) + 2*m^(-4)*A1*A2*A3^(-2) + 4*m^(-3)*A1^(-1)*A3^2 + 6*m^(-3)*A1^(-1)*A2*A3 + 4*m^(-3)*A2^(-1)*A3^2 + 31*m^(-3)*A3 + 21*m^(-3)*A2 + 6*m^(-3)*A1*A2^(-1)*A3 + 21*m^(-3)*A1 + 8*m^(-3)*A1*A2*A3^(-1) + 2*m^(-2)*A1^(-1)*A2*A3^2 + 10*m^(-2)*A3^2 + 17*m^(-2)*A2*A3 + 2*m^(-2)*A1*A2^(-1)*A3^2 + 17*m^(-2)*A1*A3 + 13*m^(-2)*A1*A2 + 6*m^(-1)*A2*A3^2 + 6*m^(-1)*A1*A3^2 + 11*m^(-1)*A1*A2*A3 + 4*A1*A2*A3^2
VertexMaslovRank
(-1, -1, -2)-84
(-1, -1, 2)-42
(-1, 1, -2)-62
(-1, 1, 2)-22
(1, -1, -2)-62
(1, -1, 2)-22
(1, 1, -2)-42
(1, 1, 2)04
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 2300
namestring L11a385{1;1}
statusstring success
slugstring L11a385_1_1_ea2bb66c
result_filestring details/L11a385_1_1_ea2bb66c.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 496
wall_secondsOption(float) 0.004219
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": "L11a385_1_1_ea2bb66c"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a385_1_1_ea2bb66c