details/L10a167_0_0_0_c0e43209.json

Multivariable Alexander polynomial

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

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^(-8)*A1^(-1)*A2^(-1)*A3^(-3/2)*A4^(-3/2) + m^(-7)*A1^(-1)*A2^(-1)*A3^(-3/2)*A4^(-1/2) + 2*m^(-7)*A1^(-1)*A2^(-1)*A3^(-1/2)*A4^(-3/2) + 2*m^(-7)*A1^(-1)*A3^(-3/2)*A4^(-3/2) + 3*m^(-7)*A2^(-1)*A3^(-3/2)*A4^(-3/2) + 3*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1/2)*A4^(-1/2) + m^(-6)*A1^(-1)*A2^(-1)*A3^(1/2)*A4^(-3/2) + 3*m^(-6)*A1^(-1)*A3^(-3/2)*A4^(-1/2) + 4*m^(-6)*A1^(-1)*A3^(-1/2)*A4^(-3/2) + m^(-6)*A1^(-1)*A2*A3^(-3/2)*A4^(-3/2) + 4*m^(-6)*A2^(-1)*A3^(-3/2)*A4^(-1/2) + 5*m^(-6)*A2^(-1)*A3^(-1/2)*A4^(-3/2) + 5*m^(-6)*A3^(-3/2)*A4^(-3/2) + 2*m^(-6)*A1*A2^(-1)*A3^(-3/2)*A4^(-3/2) + m^(-5)*A1^(-1)*A2^(-1)*A3^(-1/2)*A4^(1/2) + 3*m^(-5)*A1^(-1)*A2^(-1)*A3^(1/2)*A4^(-1/2) + m^(-5)*A1^(-1)*A3^(-3/2)*A4^(1/2) + 8*m^(-5)*A1^(-1)*A3^(-1/2)*A4^(-1/2) + 2*m^(-5)*A1^(-1)*A3^(1/2)*A4^(-3/2) + 2*m^(-5)*A1^(-1)*A2*A3^(-3/2)*A4^(-1/2) + 2*m^(-5)*A1^(-1)*A2*A3^(-1/2)*A4^(-3/2) + m^(-5)*A2^(-1)*A3^(-3/2)*A4^(1/2) + 9*m^(-5)*A2^(-1)*A3^(-1/2)*A4^(-1/2) + 2*m^(-5)*A2^(-1)*A3^(1/2)*A4^(-3/2) + 8*m^(-5)*A3^(-3/2)*A4^(-1/2) + 8*m^(-5)*A3^(-1/2)*A4^(-3/2) + 2*m^(-5)*A2*A3^(-3/2)*A4^(-3/2) + 3*m^(-5)*A1*A2^(-1)*A3^(-3/2)*A4^(-1/2) + 3*m^(-5)*A1*A2^(-1)*A3^(-1/2)*A4^(-3/2) + 3*m^(-5)*A1*A3^(-3/2)*A4^(-3/2) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3^(1/2)*A4^(1/2) + m^(-4)*A1^(-1)*A2^(-1)*A3^(3/2)*A4^(-1/2) + 5*m^(-4)*A1^(-1)*A3^(-1/2)*A4^(1/2) + 7*m^(-4)*A1^(-1)*A3^(1/2)*A4^(-1/2) + m^(-4)*A1^(-1)*A2*A3^(-3/2)*A4^(1/2) + 5*m^(-4)*A1^(-1)*A2*A3^(-1/2)*A4^(-1/2) + m^(-4)*A1^(-1)*A2*A3^(1/2)*A4^(-3/2) + 5*m^(-4)*A2^(-1)*A3^(-1/2)*A4^(1/2) + 7*m^(-4)*A2^(-1)*A3^(1/2)*A4^(-1/2) + 3*m^(-4)*A3^(-3/2)*A4^(1/2) + 17*m^(-4)*A3^(-1/2)*A4^(-1/2) + 3*m^(-4)*A3^(1/2)*A4^(-3/2) + 4*m^(-4)*A2*A3^(-3/2)*A4^(-1/2) + 3*m^(-4)*A2*A3^(-1/2)*A4^(-3/2) + m^(-4)*A1*A2^(-1)*A3^(-3/2)*A4^(1/2) + 6*m^(-4)*A1*A2^(-1)*A3^(-1/2)*A4^(-1/2) + m^(-4)*A1*A2^(-1)*A3^(1/2)*A4^(-3/2) + 5*m^(-4)*A1*A3^(-3/2)*A4^(-1/2) + 4*m^(-4)*A1*A3^(-1/2)*A4^(-3/2) + m^(-4)*A1*A2*A3^(-3/2)*A4^(-3/2) + m^(-3)*A1^(-1)*A2^(-1)*A3^(1/2)*A4^(3/2) + 2*m^(-3)*A1^(-1)*A2^(-1)*A3^(3/2)*A4^(1/2) + m^(-3)*A1^(-1)*A3^(-1/2)*A4^(3/2) + 9*m^(-3)*A1^(-1)*A3^(1/2)*A4^(1/2) + 2*m^(-3)*A1^(-1)*A3^(3/2)*A4^(-1/2) + 4*m^(-3)*A1^(-1)*A2*A3^(-1/2)*A4^(1/2) + 4*m^(-3)*A1^(-1)*A2*A3^(1/2)*A4^(-1/2) + m^(-3)*A2^(-1)*A3^(-1/2)*A4^(3/2) + 8*m^(-3)*A2^(-1)*A3^(1/2)*A4^(1/2) + 2*m^(-3)*A2^(-1)*A3^(3/2)*A4^(-1/2) + 12*m^(-3)*A3^(-1/2)*A4^(1/2) + 12*m^(-3)*A3^(1/2)*A4^(-1/2) + 2*m^(-3)*A2*A3^(-3/2)*A4^(1/2) + 8*m^(-3)*A2*A3^(-1/2)*A4^(-1/2) + m^(-3)*A2*A3^(1/2)*A4^(-3/2) + 4*m^(-3)*A1*A2^(-1)*A3^(-1/2)*A4^(1/2) + 4*m^(-3)*A1*A2^(-1)*A3^(1/2)*A4^(-1/2) + 2*m^(-3)*A1*A3^(-3/2)*A4^(1/2) + 9*m^(-3)*A1*A3^(-1/2)*A4^(-1/2) + m^(-3)*A1*A3^(1/2)*A4^(-3/2) + 2*m^(-3)*A1*A2*A3^(-3/2)*A4^(-1/2) + m^(-3)*A1*A2*A3^(-1/2)*A4^(-3/2) + m^(-2)*A1^(-1)*A2^(-1)*A3^(3/2)*A4^(3/2) + 4*m^(-2)*A1^(-1)*A3^(1/2)*A4^(3/2) + 5*m^(-2)*A1^(-1)*A3^(3/2)*A4^(1/2) + m^(-2)*A1^(-1)*A2*A3^(-1/2)*A4^(3/2) + 6*m^(-2)*A1^(-1)*A2*A3^(1/2)*A4^(1/2) + m^(-2)*A1^(-1)*A2*A3^(3/2)*A4^(-1/2) + 3*m^(-2)*A2^(-1)*A3^(1/2)*A4^(3/2) + 4*m^(-2)*A2^(-1)*A3^(3/2)*A4^(1/2) + 3*m^(-2)*A3^(-1/2)*A4^(3/2) + 17*m^(-2)*A3^(1/2)*A4^(1/2) + 3*m^(-2)*A3^(3/2)*A4^(-1/2) + 7*m^(-2)*A2*A3^(-1/2)*A4^(1/2) + 5*m^(-2)*A2*A3^(1/2)*A4^(-1/2) + m^(-2)*A1*A2^(-1)*A3^(-1/2)*A4^(3/2) + 5*m^(-2)*A1*A2^(-1)*A3^(1/2)*A4^(1/2) + m^(-2)*A1*A2^(-1)*A3^(3/2)*A4^(-1/2) + 7*m^(-2)*A1*A3^(-1/2)*A4^(1/2) + 5*m^(-2)*A1*A3^(1/2)*A4^(-1/2) + m^(-2)*A1*A2*A3^(-3/2)*A4^(1/2) + 3*m^(-2)*A1*A2*A3^(-1/2)*A4^(-1/2) + 3*m^(-1)*A1^(-1)*A3^(3/2)*A4^(3/2) + 3*m^(-1)*A1^(-1)*A2*A3^(1/2)*A4^(3/2) + 3*m^(-1)*A1^(-1)*A2*A3^(3/2)*A4^(1/2) + 2*m^(-1)*A2^(-1)*A3^(3/2)*A4^(3/2) + 8*m^(-1)*A3^(1/2)*A4^(3/2) + 8*m^(-1)*A3^(3/2)*A4^(1/2) + 2*m^(-1)*A2*A3^(-1/2)*A4^(3/2) + 9*m^(-1)*A2*A3^(1/2)*A4^(1/2) + m^(-1)*A2*A3^(3/2)*A4^(-1/2) + 2*m^(-1)*A1*A2^(-1)*A3^(1/2)*A4^(3/2) + 2*m^(-1)*A1*A2^(-1)*A3^(3/2)*A4^(1/2) + 2*m^(-1)*A1*A3^(-1/2)*A4^(3/2) + 8*m^(-1)*A1*A3^(1/2)*A4^(1/2) + m^(-1)*A1*A3^(3/2)*A4^(-1/2) + 3*m^(-1)*A1*A2*A3^(-1/2)*A4^(1/2) + m^(-1)*A1*A2*A3^(1/2)*A4^(-1/2) + 2*A1^(-1)*A2*A3^(3/2)*A4^(3/2) + 5*A3^(3/2)*A4^(3/2) + 5*A2*A3^(1/2)*A4^(3/2) + 4*A2*A3^(3/2)*A4^(1/2) + A1*A2^(-1)*A3^(3/2)*A4^(3/2) + 4*A1*A3^(1/2)*A4^(3/2) + 3*A1*A3^(3/2)*A4^(1/2) + A1*A2*A3^(-1/2)*A4^(3/2) + 3*A1*A2*A3^(1/2)*A4^(1/2) + 3*m*A2*A3^(3/2)*A4^(3/2) + 2*m*A1*A3^(3/2)*A4^(3/2) + 2*m*A1*A2*A3^(1/2)*A4^(3/2) + m*A1*A2*A3^(3/2)*A4^(1/2) + m^2*A1*A2*A3^(3/2)*A4^(3/2)
VertexMaslovRank
(-1, -1, -3/2, -3/2)-81
(-1, -1, -3/2, -1/2)-71
(-1, -1, 1/2, -3/2)-61
(-1, -1, 1/2, 3/2)-31
(-1, -1, 3/2, -1/2)-41
(-1, -1, 3/2, 3/2)-21
(-1, 0, -3/2, 1/2)-51
(-1, 0, -1/2, 3/2)-31
(-1, 1, -3/2, -3/2)-61
(-1, 1, -3/2, 1/2)-41
(-1, 1, -1/2, 3/2)-21
(-1, 1, 1/2, -3/2)-41
(-1, 1, 3/2, -1/2)-21
(-1, 1, 3/2, 3/2)02
(0, -1, -3/2, 1/2)-51
(0, -1, -1/2, 3/2)-31
(0, 1, 1/2, -3/2)-31
(0, 1, 3/2, -1/2)-11
(1, -1, -3/2, -3/2)-62
(1, -1, -3/2, 1/2)-41
(1, -1, -1/2, 3/2)-21
(1, -1, 1/2, -3/2)-41
(1, -1, 3/2, -1/2)-21
(1, -1, 3/2, 3/2)01
(1, 0, 1/2, -3/2)-31
(1, 0, 3/2, -1/2)-11
(1, 1, -3/2, -3/2)-41
(1, 1, -3/2, 1/2)-21
(1, 1, -1/2, -3/2)-31
(1, 1, -1/2, 3/2)01
(1, 1, 3/2, 1/2)11
(1, 1, 3/2, 3/2)21
HFL projection-101-101A1A2

Record

FL/HFL Links

orderOption(int) 3629
namestring L10a167{0;0;0}
statusstring success
slugstring L10a167_0_0_0_c0e43209
result_filestring details/L10a167_0_0_0_c0e43209.json
complexity_scoreOption(int) 400
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 448
wall_secondsOption(float) 0.004177
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 122
vertex_countOption(int) 32
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 24
alexander_vertex_countOption(int) 20
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a167_0_0_0_c0e43209"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a167_0_0_0_c0e43209