details/L11a357_1_184de3ab.json

Multivariable Alexander polynomial

ΔL
A1^(2)*A2 - A1^(2) + A1*A2^(2) - 3*A1*A2 + 5*A1 - 2*A1*A2^(-1) - A2^(2) + 5*A2 - 7 + 5*A2^(-1) - A2^(-2) - 2*A1^(-1)*A2 + 5*A1^(-1) - 3*A1^(-1)*A2^(-1) + A1^(-1)*A2^(-2) - A1^(-2) + A1^(-2)*A2^(-1)

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-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-4, -2) yes
(-2, -4) yes
(0, -4) yes
(4, 0) yes
(4, 2) yes
(2, 4) yes
(0, 4) yes
(-4, 0) yes
Dual Thurston polygon-505-505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-5/2)*A2^(-3/2) + m^(-6)*A1^(-3/2)*A2^(-5/2) + 2*m^(-5)*A1^(-5/2)*A2^(-1/2) + 5*m^(-5)*A1^(-3/2)*A2^(-3/2) + 2*m^(-5)*A1^(-1/2)*A2^(-5/2) + m^(-4)*A1^(-5/2)*A2^(1/2) + 10*m^(-4)*A1^(-3/2)*A2^(-1/2) + 10*m^(-4)*A1^(-1/2)*A2^(-3/2) + m^(-4)*A1^(1/2)*A2^(-5/2) + 8*m^(-3)*A1^(-3/2)*A2^(1/2) + 20*m^(-3)*A1^(-1/2)*A2^(-1/2) + 8*m^(-3)*A1^(1/2)*A2^(-3/2) + 2*m^(-2)*A1^(-3/2)*A2^(3/2) + 19*m^(-2)*A1^(-1/2)*A2^(1/2) + 19*m^(-2)*A1^(1/2)*A2^(-1/2) + 2*m^(-2)*A1^(3/2)*A2^(-3/2) + 8*m^(-1)*A1^(-1/2)*A2^(3/2) + 20*m^(-1)*A1^(1/2)*A2^(1/2) + 8*m^(-1)*A1^(3/2)*A2^(-1/2) + A1^(-1/2)*A2^(5/2) + 10*A1^(1/2)*A2^(3/2) + 10*A1^(3/2)*A2^(1/2) + A1^(5/2)*A2^(-1/2) + 2*m*A1^(1/2)*A2^(5/2) + 5*m*A1^(3/2)*A2^(3/2) + 2*m*A1^(5/2)*A2^(1/2) + m^2*A1^(3/2)*A2^(5/2) + m^2*A1^(5/2)*A2^(3/2)
VertexMaslovRank
(-5/2, -3/2)-61
(-3/2, -5/2)-61
(1/2, -5/2)-41
(5/2, -1/2)01
(5/2, 3/2)21
(3/2, 5/2)21
(-1/2, 5/2)01
(-5/2, 1/2)-41
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1178
namestring L11a357{1}
statusstring success
slugstring L11a357_1_184de3ab
result_filestring details/L11a357_1_184de3ab.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 180
wall_secondsOption(float) 0.003694
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 28
vertex_countOption(int) 8
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 17
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a357_1_184de3ab"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a357_1_184de3ab