details/L11a143_1_15775cf1.json

Multivariable Alexander polynomial

ΔL
A1*A2^(2) - 4*A1*A2 + 7*A1 - 6*A1*A2^(-1) + 2*A1*A2^(-2) - 3*A2^(2) + 11*A2 - 15 + 11*A2^(-1) - 3*A2^(-2) + 2*A1^(-1)*A2^(2) - 6*A1^(-1)*A2 + 7*A1^(-1) - 4*A1^(-1)*A2^(-1) + A1^(-1)*A2^(-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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -4) yes
(2, -4) no
(2, 4) yes
(-2, 4) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-3/2)*A2^(-5/2) + 5*m^(-3)*A1^(-3/2)*A2^(-3/2) + 4*m^(-3)*A1^(-1/2)*A2^(-5/2) + 11*m^(-2)*A1^(-3/2)*A2^(-1/2) + 19*m^(-2)*A1^(-1/2)*A2^(-3/2) + 5*m^(-2)*A1^(1/2)*A2^(-5/2) + 13*m^(-1)*A1^(-3/2)*A2^(1/2) + 37*m^(-1)*A1^(-1/2)*A2^(-1/2) + 22*m^(-1)*A1^(1/2)*A2^(-3/2) + 2*m^(-1)*A1^(3/2)*A2^(-5/2) + 8*A1^(-3/2)*A2^(3/2) + 39*A1^(-1/2)*A2^(1/2) + 39*A1^(1/2)*A2^(-1/2) + 8*A1^(3/2)*A2^(-3/2) + 2*m*A1^(-3/2)*A2^(5/2) + 22*m*A1^(-1/2)*A2^(3/2) + 37*m*A1^(1/2)*A2^(1/2) + 13*m*A1^(3/2)*A2^(-1/2) + 5*m^2*A1^(-1/2)*A2^(5/2) + 19*m^2*A1^(1/2)*A2^(3/2) + 11*m^2*A1^(3/2)*A2^(1/2) + 4*m^3*A1^(1/2)*A2^(5/2) + 5*m^3*A1^(3/2)*A2^(3/2) + m^4*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-41
(3/2, -5/2)-12
(3/2, 5/2)41
(-3/2, 5/2)12
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 704
namestring L11a143{1}
statusstring success
slugstring L11a143_1_15775cf1
result_filestring details/L11a143_1_15775cf1.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 332
wall_secondsOption(float) 0.004202
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 24
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 15
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a143_1_15775cf1"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a143_1_15775cf1