details/L11a31_1_8c97cf58.json

Multivariable Alexander polynomial

ΔL
3*A1^(1/2)*A2^(5/2) - 5*A1^(1/2)*A2^(3/2) + 5*A1^(1/2)*A2^(1/2) - 5*A1^(1/2)*A2^(-1/2) + 4*A1^(1/2)*A2^(-3/2) - A1^(1/2)*A2^(-5/2) - A1^(-1/2)*A2^(5/2) + 4*A1^(-1/2)*A2^(3/2) - 5*A1^(-1/2)*A2^(1/2) + 5*A1^(-1/2)*A2^(-1/2) - 5*A1^(-1/2)*A2^(-3/2) + 3*A1^(-1/2)*A2^(-5/2)

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-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -5) no
(1, -5) yes
(1, 5) no
(-1, 5) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
3*m^(-8)*A1^(-1)*A2^(-3) + 8*m^(-7)*A1^(-1)*A2^(-2) + 4*m^(-7)*A2^(-3) + 10*m^(-6)*A1^(-1)*A2^(-1) + 13*m^(-6)*A2^(-2) + m^(-6)*A1*A2^(-3) + 10*m^(-5)*A1^(-1) + 19*m^(-5)*A2^(-1) + 5*m^(-5)*A1*A2^(-2) + 9*m^(-4)*A1^(-1)*A2 + 20*m^(-4) + 9*m^(-4)*A1*A2^(-1) + 5*m^(-3)*A1^(-1)*A2^2 + 19*m^(-3)*A2 + 10*m^(-3)*A1 + m^(-2)*A1^(-1)*A2^3 + 13*m^(-2)*A2^2 + 10*m^(-2)*A1*A2 + 4*m^(-1)*A2^3 + 8*m^(-1)*A1*A2^2 + 3*A1*A2^3
VertexMaslovRank
(-1, -3)-83
(1, -3)-61
(1, 3)03
(-1, 3)-21
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 1096
namestring L11a31{1}
statusstring success
slugstring L11a31_1_8c97cf58
result_filestring details/L11a31_1_8c97cf58.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 184
wall_secondsOption(float) 0.003271
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 21
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a31_1_8c97cf58"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a31_1_8c97cf58