details/L10a12_0_6a1e023e.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(3/2) + 6*A1^(1/2)*A2^(1/2) - 9*A1^(1/2)*A2^(-1/2) + 3*A1^(1/2)*A2^(-3/2) + 3*A1^(-1/2)*A2^(3/2) - 9*A1^(-1/2)*A2^(1/2) + 6*A1^(-1/2)*A2^(-1/2) - A1^(-1/2)*A2^(-3/2)

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, -3) yes
(1, -3) no
(1, 3) yes
(-1, 3) no
Dual Thurston polygon-10105h1h2

HFL polytope

Poincaré polynomial
m^(-3)*A1^(-1)*A2^(-2) + 7*m^(-2)*A1^(-1)*A2^(-1) + 4*m^(-2)*A2^(-2) + 15*m^(-1)*A1^(-1) + 19*m^(-1)*A2^(-1) + 3*m^(-1)*A1*A2^(-2) + 12*A1^(-1)*A2 + 30 + 12*A1*A2^(-1) + 3*m*A1^(-1)*A2^2 + 19*m*A2 + 15*m*A1 + 4*m^2*A2^2 + 7*m^2*A1*A2 + m^3*A1*A2^2
VertexMaslovRank
(-1, -2)-31
(1, -2)-13
(1, 2)31
(-1, 2)13
HFL polytope-101-202A1A2

Record

FL/HFL Links

orderOption(int) 287
namestring L10a12{0}
statusstring success
slugstring L10a12_0_6a1e023e
result_filestring details/L10a12_0_6a1e023e.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 152
wall_secondsOption(float) 0.003802
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 15
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a12_0_6a1e023e"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a12_0_6a1e023e