details/L10a87_0_73ebd288.json

Multivariable Alexander polynomial

ΔL
-4*A1*A2 + 4*A1 - A1*A2^(-1) + 4*A2 - 9 + 4*A2^(-1) - A1^(-1)*A2 + 4*A1^(-1) - 4*A1^(-1)*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-101-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -2) no
(2, -2) yes
(2, 2) no
(-2, 2) yes
Dual Thurston polygon-202-202h1h2

HFL polytope

Poincaré polynomial
4*m^(-1)*A1^(-3/2)*A2^(-3/2) + 8*A1^(-3/2)*A2^(-1/2) + 8*A1^(-1/2)*A2^(-3/2) + 5*m*A1^(-3/2)*A2^(1/2) + 21*m*A1^(-1/2)*A2^(-1/2) + 5*m*A1^(1/2)*A2^(-3/2) + m^2*A1^(-3/2)*A2^(3/2) + 18*m^2*A1^(-1/2)*A2^(1/2) + 18*m^2*A1^(1/2)*A2^(-1/2) + m^2*A1^(3/2)*A2^(-3/2) + 5*m^3*A1^(-1/2)*A2^(3/2) + 21*m^3*A1^(1/2)*A2^(1/2) + 5*m^3*A1^(3/2)*A2^(-1/2) + 8*m^4*A1^(1/2)*A2^(3/2) + 8*m^4*A1^(3/2)*A2^(1/2) + 4*m^5*A1^(3/2)*A2^(3/2)
VertexMaslovRank
(-3/2, -3/2)-14
(3/2, -3/2)21
(3/2, 3/2)54
(-3/2, 3/2)21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 451
namestring L10a87{0}
statusstring success
slugstring L10a87_0_73ebd288
result_filestring details/L10a87_0_73ebd288.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 140
wall_secondsOption(float) 0.002964
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 16
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 9
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a87_0_73ebd288"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a87_0_73ebd288