details/L11a27_1_5ad7f953.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(5/2) + 6*A1^(1/2)*A2^(3/2) - 11*A1^(1/2)*A2^(1/2) + 9*A1^(1/2)*A2^(-1/2) - 2*A1^(1/2)*A2^(-3/2) - 2*A1^(-1/2)*A2^(3/2) + 9*A1^(-1/2)*A2^(1/2) - 11*A1^(-1/2)*A2^(-1/2) + 6*A1^(-1/2)*A2^(-3/2) - A1^(-1/2)*A2^(-5/2)

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, -5) yes
(1, -3) no
(1, 5) yes
(-1, 3) no
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-3) + 7*m^(-4)*A1^(-1)*A2^(-2) + m^(-4)*A2^(-3) + 17*m^(-3)*A1^(-1)*A2^(-1) + 9*m^(-3)*A2^(-2) + 20*m^(-2)*A1^(-1) + 28*m^(-2)*A2^(-1) + 2*m^(-2)*A1*A2^(-2) + 11*m^(-1)*A1^(-1)*A2 + 40*m^(-1) + 11*m^(-1)*A1*A2^(-1) + 2*A1^(-1)*A2^2 + 28*A2 + 20*A1 + 9*m*A2^2 + 17*m*A1*A2 + m^2*A2^3 + 7*m^2*A1*A2^2 + m^3*A1*A2^3
VertexMaslovRank
(-1, -3)-51
(0, -3)-41
(1, -2)-22
(1, 3)31
(0, 3)21
(-1, 2)02
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 1006
namestring L11a27{1}
statusstring success
slugstring L11a27_1_5ad7f953
result_filestring details/L11a27_1_5ad7f953.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 232
wall_secondsOption(float) 0.003372
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": "L11a27_1_5ad7f953"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a27_1_5ad7f953