details/L10a52_1_f1b34c7c.json

Multivariable Alexander polynomial

ΔL
A1*A2^(2) - 3*A1*A2 + 4*A1 - 3*A1*A2^(-1) + A1*A2^(-2) - 2*A2^(2) + 6*A2 - 7 + 6*A2^(-1) - 2*A2^(-2) + A1^(-1)*A2^(2) - 3*A1^(-1)*A2 + 4*A1^(-1) - 3*A1^(-1)*A2^(-1) + A1^(-1)*A2^(-2)

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

Newton Polygon of Alexander-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -4) yes
(2, -4) yes
(2, 4) yes
(-2, 4) yes
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-3/2)*A2^(-5/2) + 4*m^(-5)*A1^(-3/2)*A2^(-3/2) + 3*m^(-5)*A1^(-1/2)*A2^(-5/2) + 7*m^(-4)*A1^(-3/2)*A2^(-1/2) + 12*m^(-4)*A1^(-1/2)*A2^(-3/2) + 3*m^(-4)*A1^(1/2)*A2^(-5/2) + 7*m^(-3)*A1^(-3/2)*A2^(1/2) + 20*m^(-3)*A1^(-1/2)*A2^(-1/2) + 12*m^(-3)*A1^(1/2)*A2^(-3/2) + m^(-3)*A1^(3/2)*A2^(-5/2) + 4*m^(-2)*A1^(-3/2)*A2^(3/2) + 20*m^(-2)*A1^(-1/2)*A2^(1/2) + 20*m^(-2)*A1^(1/2)*A2^(-1/2) + 4*m^(-2)*A1^(3/2)*A2^(-3/2) + m^(-1)*A1^(-3/2)*A2^(5/2) + 12*m^(-1)*A1^(-1/2)*A2^(3/2) + 20*m^(-1)*A1^(1/2)*A2^(1/2) + 7*m^(-1)*A1^(3/2)*A2^(-1/2) + 3*A1^(-1/2)*A2^(5/2) + 12*A1^(1/2)*A2^(3/2) + 7*A1^(3/2)*A2^(1/2) + 3*m*A1^(1/2)*A2^(5/2) + 4*m*A1^(3/2)*A2^(3/2) + m^2*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-61
(3/2, -5/2)-31
(3/2, 5/2)21
(-3/2, 5/2)-11
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 376
namestring L10a52{1}
statusstring success
slugstring L10a52_1_f1b34c7c
result_filestring details/L10a52_1_f1b34c7c.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 188
wall_secondsOption(float) 0.003878
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 24
vertex_countOption(int) 4
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 15
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a52_1_f1b34c7c"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a52_1_f1b34c7c