details/L10n103_1_0_0_b881290e.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) - A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(-1/2) - A1^(1/2)*A2^(1/2)*A3^(-1/2)*A4^(1/2) + A1^(1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) + A1^(1/2)*A2^(-1/2)*A3^(1/2)*A4^(-1/2) + A1^(1/2)*A2^(-1/2)*A3^(-1/2)*A4^(1/2) - A1^(1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2) - A1^(-1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) + A1^(-1/2)*A2^(1/2)*A3^(1/2)*A4^(-1/2) + A1^(-1/2)*A2^(1/2)*A3^(-1/2)*A4^(1/2) - A1^(-1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) + A1^(-1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) - A1^(-1/2)*A2^(-1/2)*A3^(1/2)*A4^(-1/2) - A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2)

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

Newton Projection of Alexander-0.500.5-0.500.5A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -1) no
(1, -1) no
(1, 1) no
(-1, 1) no
Dual Thurston slice-101-101h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-1)*A3^(-1)*A4^(-1) + 2*m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-5)*A1^(-1)*A2^(-1)*A4^(-1) + 2*m^(-5)*A1^(-1)*A3^(-1)*A4^(-1) + 2*m^(-5)*A2^(-1)*A3^(-1)*A4^(-1) + m^(-4)*A1^(-1)*A2^(-1)*A3^(-1)*A4 + 4*m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A1^(-1)*A2^(-1)*A3*A4^(-1) + 4*m^(-4)*A1^(-1)*A3^(-1) + 4*m^(-4)*A1^(-1)*A4^(-1) + m^(-4)*A1^(-1)*A2*A3^(-1)*A4^(-1) + 4*m^(-4)*A2^(-1)*A3^(-1) + 4*m^(-4)*A2^(-1)*A4^(-1) + 4*m^(-4)*A3^(-1)*A4^(-1) + m^(-4)*A1*A2^(-1)*A3^(-1)*A4^(-1) + 2*m^(-3)*A1^(-1)*A2^(-1)*A4 + 2*m^(-3)*A1^(-1)*A2^(-1)*A3 + 2*m^(-3)*A1^(-1)*A3^(-1)*A4 + 8*m^(-3)*A1^(-1) + 2*m^(-3)*A1^(-1)*A3*A4^(-1) + 2*m^(-3)*A1^(-1)*A2*A3^(-1) + 2*m^(-3)*A1^(-1)*A2*A4^(-1) + 2*m^(-3)*A2^(-1)*A3^(-1)*A4 + 8*m^(-3)*A2^(-1) + 2*m^(-3)*A2^(-1)*A3*A4^(-1) + 8*m^(-3)*A3^(-1) + 8*m^(-3)*A4^(-1) + m^(-3) + 2*m^(-3)*A2*A3^(-1)*A4^(-1) + 2*m^(-3)*A1*A2^(-1)*A3^(-1) + 2*m^(-3)*A1*A2^(-1)*A4^(-1) + 2*m^(-3)*A1*A3^(-1)*A4^(-1) + m^(-2)*A1^(-1)*A2^(-1)*A3*A4 + 4*m^(-2)*A1^(-1)*A4 + 4*m^(-2)*A1^(-1)*A3 + m^(-2)*A1^(-1)*A2*A3^(-1)*A4 + 4*m^(-2)*A1^(-1)*A2 + m^(-2)*A1^(-1)*A2*A3*A4^(-1) + 4*m^(-2)*A2^(-1)*A4 + 4*m^(-2)*A2^(-1)*A3 + 4*m^(-2)*A3^(-1)*A4 + 17*m^(-2) + 4*m^(-2)*A3*A4^(-1) + 4*m^(-2)*A2*A3^(-1) + 4*m^(-2)*A2*A4^(-1) + m^(-2)*A1*A2^(-1)*A3^(-1)*A4 + 4*m^(-2)*A1*A2^(-1) + m^(-2)*A1*A2^(-1)*A3*A4^(-1) + 4*m^(-2)*A1*A3^(-1) + 4*m^(-2)*A1*A4^(-1) + m^(-2)*A1*A2*A3^(-1)*A4^(-1) + 2*m^(-1)*A1^(-1)*A3*A4 + 2*m^(-1)*A1^(-1)*A2*A4 + 2*m^(-1)*A1^(-1)*A2*A3 + 2*m^(-1)*A2^(-1)*A3*A4 + 8*m^(-1)*A4 + 8*m^(-1)*A3 + 2*m^(-1)*A2*A3^(-1)*A4 + 8*m^(-1)*A2 + 2*m^(-1)*A2*A3*A4^(-1) + 2*m^(-1)*A1*A2^(-1)*A4 + 2*m^(-1)*A1*A2^(-1)*A3 + 2*m^(-1)*A1*A3^(-1)*A4 + 8*m^(-1)*A1 + 2*m^(-1)*A1*A3*A4^(-1) + 2*m^(-1)*A1*A2*A3^(-1) + 2*m^(-1)*A1*A2*A4^(-1) + A1^(-1)*A2*A3*A4 + 4*A3*A4 + 4*A2*A4 + 4*A2*A3 + A1*A2^(-1)*A3*A4 + 4*A1*A4 + 4*A1*A3 + A1*A2*A3^(-1)*A4 + 4*A1*A2 + A1*A2*A3*A4^(-1) + 2*m*A2*A3*A4 + 2*m*A1*A3*A4 + 2*m*A1*A2*A4 + 2*m*A1*A2*A3 + m^2*A1*A2*A3*A4
VertexMaslovRank
(-1, -1, -1, -1)-61
(-1, -1, -1, 1)-41
(-1, -1, 1, -1)-41
(-1, -1, 1, 1)-21
(-1, 1, -1, -1)-41
(-1, 1, -1, 1)-21
(-1, 1, 1, -1)-21
(-1, 1, 1, 1)01
(1, -1, -1, -1)-41
(1, -1, -1, 1)-21
(1, -1, 1, -1)-21
(1, -1, 1, 1)01
(1, 1, -1, -1)-21
(1, 1, -1, 1)01
(1, 1, 1, -1)01
(1, 1, 1, 1)21
HFL projection-101-101A1A2

Record

FL/HFL Links

orderOption(int) 3713
namestring L10n103{1;0;0}
statusstring success
slugstring L10n103_1_0_0_b881290e
result_filestring details/L10n103_1_0_0_b881290e.json
complexity_scoreOption(int) 400
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 258
wall_secondsOption(float) 0.003182
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 81
vertex_countOption(int) 16
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 16
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10n103_1_0_0_b881290e"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n103_1_0_0_b881290e