details/L11a19_1_baeab628.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(5/2) - 5*A1^(1/2)*A2^(3/2) + 8*A1^(1/2)*A2^(1/2) - 8*A1^(1/2)*A2^(-1/2) + 5*A1^(1/2)*A2^(-3/2) - A1^(1/2)*A2^(-5/2) - A1^(-1/2)*A2^(5/2) + 5*A1^(-1/2)*A2^(3/2) - 8*A1^(-1/2)*A2^(1/2) + 8*A1^(-1/2)*A2^(-1/2) - 5*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, -5) yes
(1, 5) yes
(-1, 5) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-3) + 6*m^(-5)*A1^(-1)*A2^(-2) + 2*m^(-5)*A2^(-3) + 13*m^(-4)*A1^(-1)*A2^(-1) + 12*m^(-4)*A2^(-2) + m^(-4)*A1*A2^(-3) + 16*m^(-3)*A1^(-1) + 26*m^(-3)*A2^(-1) + 6*m^(-3)*A1*A2^(-2) + 13*m^(-2)*A1^(-1)*A2 + 32*m^(-2) + 13*m^(-2)*A1*A2^(-1) + 6*m^(-1)*A1^(-1)*A2^2 + 26*m^(-1)*A2 + 16*m^(-1)*A1 + A1^(-1)*A2^3 + 12*A2^2 + 13*A1*A2 + 2*m*A2^3 + 6*m*A1*A2^2 + m^2*A1*A2^3
VertexMaslovRank
(-1, -3)-61
(1, -3)-41
(1, 3)21
(-1, 3)01
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 828
namestring L11a19{1}
statusstring success
slugstring L11a19_1_baeab628
result_filestring details/L11a19_1_baeab628.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 224
wall_secondsOption(float) 0.00374
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 21
vertex_countOption(int) 4
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a19_1_baeab628"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a19_1_baeab628