details/L10a61_1_d98cac7b.json

Multivariable Alexander polynomial

ΔL
-A1*A2^(2) + 3*A1*A2 - 4*A1 + 2*A1*A2^(-1) + A2^(2) - 6*A2 + 9 - 6*A2^(-1) + A2^(-2) + 2*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
(0, -4) yes
(2, -2) no
(2, 4) yes
(0, 4) yes
(-2, 2) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-3/2)*A2^(-5/2) + 4*m^(-4)*A1^(-3/2)*A2^(-3/2) + 2*m^(-4)*A1^(-1/2)*A2^(-5/2) + 7*m^(-3)*A1^(-3/2)*A2^(-1/2) + 11*m^(-3)*A1^(-1/2)*A2^(-3/2) + m^(-3)*A1^(1/2)*A2^(-5/2) + 6*m^(-2)*A1^(-3/2)*A2^(1/2) + 22*m^(-2)*A1^(-1/2)*A2^(-1/2) + 9*m^(-2)*A1^(1/2)*A2^(-3/2) + 2*m^(-1)*A1^(-3/2)*A2^(3/2) + 21*m^(-1)*A1^(-1/2)*A2^(1/2) + 21*m^(-1)*A1^(1/2)*A2^(-1/2) + 2*m^(-1)*A1^(3/2)*A2^(-3/2) + 9*A1^(-1/2)*A2^(3/2) + 22*A1^(1/2)*A2^(1/2) + 6*A1^(3/2)*A2^(-1/2) + m*A1^(-1/2)*A2^(5/2) + 11*m*A1^(1/2)*A2^(3/2) + 7*m*A1^(3/2)*A2^(1/2) + 2*m^2*A1^(1/2)*A2^(5/2) + 4*m^2*A1^(3/2)*A2^(3/2) + m^3*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-51
(1/2, -5/2)-31
(3/2, -3/2)-12
(3/2, 5/2)31
(-1/2, 5/2)11
(-3/2, 3/2)-12
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 396
namestring L10a61{1}
statusstring success
slugstring L10a61_1_d98cac7b
result_filestring details/L10a61_1_d98cac7b.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 172
wall_secondsOption(float) 0.002279
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 22
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 13
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a61_1_d98cac7b"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a61_1_d98cac7b