details/L11n132_1_4f54707d.json

Multivariable Alexander polynomial

ΔL
A1 - A1*A2^(-1) + A2^(2) - 1 + A2^(-2) - A1^(-1)*A2 + A1^(-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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(0, -4) yes
(2, -2) yes
(2, 0) yes
(0, 4) yes
(-2, 2) yes
(-2, 0) yes
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-2)*A1^(-3/2)*A2^(-1/2) + m^(-2)*A1^(-1/2)*A2^(-5/2) + 2*m^(-1)*A1^(-3/2)*A2^(1/2) + m^(-1)*A1^(-1/2)*A2^(-3/2) + 2*m^(-1)*A1^(-1/2)*A2^(-1/2) + m^(-1)*A1^(1/2)*A2^(-5/2) + m^(-1)*A1^(1/2)*A2^(-3/2) + A1^(-3/2)*A2^(3/2) + 3*A1^(-1/2)*A2^(1/2) + A1^(1/2)*A2^(-3/2) + 3*A1^(1/2)*A2^(-1/2) + A1^(3/2)*A2^(-3/2) + m*A1^(-1/2)*A2^(3/2) + 2*m*A1^(1/2)*A2^(1/2) + 2*m*A1^(3/2)*A2^(-1/2) + m^2*A1^(-1/2)*A2^(3/2) + m^2*A1^(3/2)*A2^(1/2) + m^3*A1^(-1/2)*A2^(5/2) + m^3*A1^(1/2)*A2^(3/2) + m^4*A1^(1/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -1/2)-21
(-1/2, -5/2)-21
(1/2, -5/2)-11
(3/2, -3/2)01
(3/2, 1/2)21
(1/2, 5/2)41
(-1/2, 5/2)31
(-3/2, 3/2)01
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1448
namestring L11n132{1}
statusstring success
slugstring L11n132_1_4f54707d
result_filestring details/L11n132_1_4f54707d.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 28
wall_secondsOption(float) 0.00214
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 18
vertex_countOption(int) 8
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 7
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n132_1_4f54707d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n132_1_4f54707d