details/L11a276_0_4412add1.json

Multivariable Alexander polynomial

ΔL
-A1^(3/2)*A2^(5/2) + 2*A1^(3/2)*A2^(3/2) - 2*A1^(3/2)*A2^(1/2) - 2*A1^(1/2)*A2^(3/2) + 3*A1^(1/2)*A2^(1/2) - 2*A1^(1/2)*A2^(-1/2) - 2*A1^(-1/2)*A2^(1/2) + 3*A1^(-1/2)*A2^(-1/2) - 2*A1^(-1/2)*A2^(-3/2) - 2*A1^(-3/2)*A2^(-1/2) + 2*A1^(-3/2)*A2^(-3/2) - A1^(-3/2)*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-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -1) no
(-3, -5) yes
(3, 1) no
(3, 5) yes
Dual Thurston polygon05-505h1h2

HFL polytope

Poincaré polynomial
m^(-3)*A1^(-2)*A2^(-3) + 3*m^(-2)*A1^(-2)*A2^(-2) + m^(-2)*A1^(-1)*A2^(-3) + 4*m^(-1)*A1^(-2)*A2^(-1) + 5*m^(-1)*A1^(-1)*A2^(-2) + 2*A1^(-2) + 9*A1^(-1)*A2^(-1) + 2*A2^(-2) + 7*m*A1^(-1) + 7*m*A2^(-1) + 2*m^2*A1^(-1)*A2 + 10*m^2 + 2*m^2*A1*A2^(-1) + 7*m^3*A2 + 7*m^3*A1 + 2*m^4*A2^2 + 9*m^4*A1*A2 + 2*m^4*A1^2 + 5*m^5*A1*A2^2 + 4*m^5*A1^2*A2 + m^6*A1*A2^3 + 3*m^6*A1^2*A2^2 + m^7*A1^2*A2^3
VertexMaslovRank
(-2, -3)-31
(-1, -3)-21
(2, 0)42
(2, 3)71
(1, 3)61
(-2, 0)02
HFL polytope-20205A1A2

Record

FL/HFL Links

orderOption(int) 997
namestring L11a276{0}
statusstring success
slugstring L11a276_0_4412add1
result_filestring details/L11a276_0_4412add1.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 96
wall_secondsOption(float) 0.002129
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 23
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
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": "L11a276_0_4412add1"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a276_0_4412add1