details/L11a134_0_f4b1896e.json

Multivariable Alexander polynomial

ΔL
-4*A1^(1/2)*A2^(3/2) + 10*A1^(1/2)*A2^(1/2) - 12*A1^(1/2)*A2^(-1/2) + 6*A1^(1/2)*A2^(-3/2) - A1^(1/2)*A2^(-5/2) - A1^(-1/2)*A2^(5/2) + 6*A1^(-1/2)*A2^(3/2) - 12*A1^(-1/2)*A2^(1/2) + 10*A1^(-1/2)*A2^(-1/2) - 4*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) no
(1, -5) yes
(1, 3) no
(-1, 5) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
4*m^(-3)*A1^(-1)*A2^(-2) + m^(-3)*A2^(-3) + 14*m^(-2)*A1^(-1)*A2^(-1) + 11*m^(-2)*A2^(-2) + m^(-2)*A1*A2^(-3) + 22*m^(-1)*A1^(-1) + 32*m^(-1)*A2^(-1) + 7*m^(-1)*A1*A2^(-2) + 18*A1^(-1)*A2 + 44 + 18*A1*A2^(-1) + 7*m*A1^(-1)*A2^2 + 32*m*A2 + 22*m*A1 + m^2*A1^(-1)*A2^3 + 11*m^2*A2^2 + 14*m^2*A1*A2 + m^3*A2^3 + 4*m^3*A1*A2^2
VertexMaslovRank
(-1, -2)-34
(0, -3)-31
(1, -3)-21
(1, 2)34
(0, 3)31
(-1, 3)21
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 683
namestring L11a134{0}
statusstring success
slugstring L11a134_0_f4b1896e
result_filestring details/L11a134_0_f4b1896e.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 264
wall_secondsOption(float) 0.00363
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 19
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a134_0_f4b1896e"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a134_0_f4b1896e