details/L10a171_1_1_1_22bbff34.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2*A3*A4^(1/2) + A1^(1/2)*A2*A3*A4^(-1/2) + 2*A1^(1/2)*A2*A4^(1/2) - A1^(1/2)*A2*A4^(-1/2) - A1^(1/2)*A2*A3^(-1)*A4^(1/2) + A1^(1/2)*A3*A4^(1/2) - 2*A1^(1/2)*A3*A4^(-1/2) - 3*A1^(1/2)*A4^(1/2) + 3*A1^(1/2)*A4^(-1/2) + A1^(1/2)*A3^(-1)*A4^(1/2) - A1^(1/2)*A3^(-1)*A4^(-1/2) + A1^(1/2)*A2^(-1)*A3*A4^(-1/2) + A1^(1/2)*A2^(-1)*A4^(1/2) - A1^(1/2)*A2^(-1)*A4^(-1/2) - A1^(-1/2)*A2*A4^(1/2) + A1^(-1/2)*A2*A4^(-1/2) + A1^(-1/2)*A2*A3^(-1)*A4^(1/2) - A1^(-1/2)*A3*A4^(1/2) + A1^(-1/2)*A3*A4^(-1/2) + 3*A1^(-1/2)*A4^(1/2) - 3*A1^(-1/2)*A4^(-1/2) - 2*A1^(-1/2)*A3^(-1)*A4^(1/2) + A1^(-1/2)*A3^(-1)*A4^(-1/2) - A1^(-1/2)*A2^(-1)*A3*A4^(-1/2) - A1^(-1/2)*A2^(-1)*A4^(1/2) + 2*A1^(-1/2)*A2^(-1)*A4^(-1/2) + A1^(-1/2)*A2^(-1)*A3^(-1)*A4^(1/2) - A1^(-1/2)*A2^(-1)*A3^(-1)*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-0.500.5-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -2) no
(1, -2) no
(1, 2) no
(-1, 2) no
Dual Thurston slice-101-202h1h2

HFL polytope

Poincaré polynomial
m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 2*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 3*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 2*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + m^(-6)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + m^(-5)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4 + 5*m^(-5)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 3*m^(-5)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 5*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 7*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + m^(-5)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4^(-1) + 2*m^(-5)*A2^(-3/2)*A3^(-3/2) + 4*m^(-5)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-5)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + 2*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4 + 4*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(1/2) + m^(-4)*A1^(-1)*A2^(-3/2)*A3^(3/2)*A4^(-1) + 3*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4 + 14*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 7*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 4*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 5*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-4)*A2^(-3/2)*A3^(-3/2)*A4 + 7*m^(-4)*A2^(-3/2)*A3^(-1/2) + 5*m^(-4)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 7*m^(-4)*A2^(-1/2)*A3^(-3/2) + 12*m^(-4)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 2*m^(-4)*A2^(1/2)*A3^(-3/2)*A4^(-1) + m^(-4)*A1*A2^(-3/2)*A3^(-1/2)*A4^(-1) + m^(-4)*A1*A2^(-1/2)*A3^(-3/2)*A4^(-1) + m^(-3)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4 + m^(-3)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 7*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4 + 12*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 2*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4^(-1) + 3*m^(-3)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4 + 12*m^(-3)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 5*m^(-3)*A1^(-1)*A2^(1/2)*A3^(1/2)*A4^(-1) + m^(-3)*A1^(-1)*A2^(3/2)*A3^(-3/2) + m^(-3)*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-3)*A2^(-3/2)*A3^(-1/2)*A4 + 7*m^(-3)*A2^(-3/2)*A3^(1/2) + 2*m^(-3)*A2^(-3/2)*A3^(3/2)*A4^(-1) + 4*m^(-3)*A2^(-1/2)*A3^(-3/2)*A4 + 24*m^(-3)*A2^(-1/2)*A3^(-1/2) + 14*m^(-3)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 7*m^(-3)*A2^(1/2)*A3^(-3/2) + 10*m^(-3)*A2^(1/2)*A3^(-1/2)*A4^(-1) + 2*m^(-3)*A1*A2^(-3/2)*A3^(-1/2) + 2*m^(-3)*A1*A2^(-3/2)*A3^(1/2)*A4^(-1) + 2*m^(-3)*A1*A2^(-1/2)*A3^(-3/2) + 5*m^(-3)*A1*A2^(-1/2)*A3^(-1/2)*A4^(-1) + m^(-3)*A1*A2^(1/2)*A3^(-3/2)*A4^(-1) + 5*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4 + 3*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 7*m^(-2)*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4 + 10*m^(-2)*A1^(-1)*A2^(1/2)*A3^(1/2) + m^(-2)*A1^(-1)*A2^(1/2)*A3^(3/2)*A4^(-1) + m^(-2)*A1^(-1)*A2^(3/2)*A3^(-3/2)*A4 + 3*m^(-2)*A1^(-1)*A2^(3/2)*A3^(-1/2) + m^(-2)*A1^(-1)*A2^(3/2)*A3^(1/2)*A4^(-1) + 2*m^(-2)*A2^(-3/2)*A3^(1/2)*A4 + 2*m^(-2)*A2^(-3/2)*A3^(3/2) + 12*m^(-2)*A2^(-1/2)*A3^(-1/2)*A4 + 24*m^(-2)*A2^(-1/2)*A3^(1/2) + 5*m^(-2)*A2^(-1/2)*A3^(3/2)*A4^(-1) + 5*m^(-2)*A2^(1/2)*A3^(-3/2)*A4 + 24*m^(-2)*A2^(1/2)*A3^(-1/2) + 12*m^(-2)*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*m^(-2)*A2^(3/2)*A3^(-3/2) + 2*m^(-2)*A2^(3/2)*A3^(-1/2)*A4^(-1) + m^(-2)*A1*A2^(-3/2)*A3^(-1/2)*A4 + 3*m^(-2)*A1*A2^(-3/2)*A3^(1/2) + m^(-2)*A1*A2^(-3/2)*A3^(3/2)*A4^(-1) + m^(-2)*A1*A2^(-1/2)*A3^(-3/2)*A4 + 10*m^(-2)*A1*A2^(-1/2)*A3^(-1/2) + 7*m^(-2)*A1*A2^(-1/2)*A3^(1/2)*A4^(-1) + 3*m^(-2)*A1*A2^(1/2)*A3^(-3/2) + 5*m^(-2)*A1*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-1)*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4 + 5*m^(-1)*A1^(-1)*A2^(1/2)*A3^(1/2)*A4 + 2*m^(-1)*A1^(-1)*A2^(1/2)*A3^(3/2) + 2*m^(-1)*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4 + 2*m^(-1)*A1^(-1)*A2^(3/2)*A3^(1/2) + 10*m^(-1)*A2^(-1/2)*A3^(1/2)*A4 + 7*m^(-1)*A2^(-1/2)*A3^(3/2) + 14*m^(-1)*A2^(1/2)*A3^(-1/2)*A4 + 24*m^(-1)*A2^(1/2)*A3^(1/2) + 4*m^(-1)*A2^(1/2)*A3^(3/2)*A4^(-1) + 2*m^(-1)*A2^(3/2)*A3^(-3/2)*A4 + 7*m^(-1)*A2^(3/2)*A3^(-1/2) + 3*m^(-1)*A2^(3/2)*A3^(1/2)*A4^(-1) + m^(-1)*A1*A2^(-3/2)*A3^(1/2)*A4 + m^(-1)*A1*A2^(-3/2)*A3^(3/2) + 5*m^(-1)*A1*A2^(-1/2)*A3^(-1/2)*A4 + 12*m^(-1)*A1*A2^(-1/2)*A3^(1/2) + 3*m^(-1)*A1*A2^(-1/2)*A3^(3/2)*A4^(-1) + 2*m^(-1)*A1*A2^(1/2)*A3^(-3/2)*A4 + 12*m^(-1)*A1*A2^(1/2)*A3^(-1/2) + 7*m^(-1)*A1*A2^(1/2)*A3^(1/2)*A4^(-1) + m^(-1)*A1*A2^(3/2)*A3^(-3/2) + m^(-1)*A1*A2^(3/2)*A3^(-1/2)*A4^(-1) + A1^(-1)*A2^(1/2)*A3^(3/2)*A4 + A1^(-1)*A2^(3/2)*A3^(1/2)*A4 + 2*A2^(-1/2)*A3^(3/2)*A4 + 12*A2^(1/2)*A3^(1/2)*A4 + 7*A2^(1/2)*A3^(3/2) + 5*A2^(3/2)*A3^(-1/2)*A4 + 7*A2^(3/2)*A3^(1/2) + A2^(3/2)*A3^(3/2)*A4^(-1) + 5*A1*A2^(-1/2)*A3^(1/2)*A4 + 4*A1*A2^(-1/2)*A3^(3/2) + 7*A1*A2^(1/2)*A3^(-1/2)*A4 + 14*A1*A2^(1/2)*A3^(1/2) + 3*A1*A2^(1/2)*A3^(3/2)*A4^(-1) + A1*A2^(3/2)*A3^(-3/2)*A4 + 4*A1*A2^(3/2)*A3^(-1/2) + 2*A1*A2^(3/2)*A3^(1/2)*A4^(-1) + 3*m*A2^(1/2)*A3^(3/2)*A4 + 4*m*A2^(3/2)*A3^(1/2)*A4 + 2*m*A2^(3/2)*A3^(3/2) + m*A1*A2^(-1/2)*A3^(3/2)*A4 + 7*m*A1*A2^(1/2)*A3^(1/2)*A4 + 5*m*A1*A2^(1/2)*A3^(3/2) + 3*m*A1*A2^(3/2)*A3^(-1/2)*A4 + 5*m*A1*A2^(3/2)*A3^(1/2) + m*A1*A2^(3/2)*A3^(3/2)*A4^(-1) + m^2*A2^(3/2)*A3^(3/2)*A4 + 2*m^2*A1*A2^(1/2)*A3^(3/2)*A4 + 3*m^2*A1*A2^(3/2)*A3^(1/2)*A4 + 2*m^2*A1*A2^(3/2)*A3^(3/2) + m^3*A1*A2^(3/2)*A3^(3/2)*A4
VertexMaslovRank
(-1, -3/2, -3/2, -1)-71
(-1, -3/2, -3/2, 1)-51
(-1, -3/2, 1/2, 1)-31
(-1, -3/2, 3/2, -1)-41
(-1, -3/2, 3/2, 0)-31
(-1, -1/2, 3/2, 1)-11
(-1, 1/2, -3/2, -1)-51
(-1, 1/2, 3/2, -1)-21
(-1, 1/2, 3/2, 1)01
(-1, 3/2, -3/2, 0)-31
(-1, 3/2, -3/2, 1)-21
(-1, 3/2, -1/2, -1)-31
(-1, 3/2, 1/2, -1)-21
(-1, 3/2, 1/2, 1)01
(0, -3/2, -3/2, -1)-61
(0, -3/2, -3/2, 1)-41
(0, 3/2, 3/2, -1)01
(0, 3/2, 3/2, 1)21
(1, -3/2, -1/2, -1)-41
(1, -3/2, -1/2, 1)-21
(1, -3/2, 1/2, 1)-11
(1, -3/2, 3/2, -1)-21
(1, -3/2, 3/2, 0)-11
(1, -1/2, -3/2, -1)-41
(1, -1/2, -3/2, 1)-21
(1, -1/2, 3/2, 1)11
(1, 1/2, -3/2, -1)-31
(1, 3/2, -3/2, 0)-11
(1, 3/2, -3/2, 1)01
(1, 3/2, -1/2, -1)-11
(1, 3/2, 3/2, -1)11
(1, 3/2, 3/2, 1)31
HFL projection-101-202A1A2

Record

FL/HFL Links

orderOption(int) 3668
namestring L10a171{1;1;1}
statusstring success
slugstring L10a171_1_1_1_22bbff34
result_filestring details/L10a171_1_1_1_22bbff34.json
complexity_scoreOption(int) 400
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 640
wall_secondsOption(float) 0.00447
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 132
vertex_countOption(int) 32
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 28
alexander_vertex_countOption(int) 20
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a171_1_1_1_22bbff34"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a171_1_1_1_22bbff34