details/L11n226_0_5dfda14e.json

Multivariable Alexander polynomial

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

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-202-0.500.5A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -1) yes
(3, -1) yes
(3, 1) yes
(-3, 1) yes
Dual Thurston polygon05-101h1h2

HFL polytope

Poincaré polynomial
m^(-2)*A1^(-2)*A2^(-1) + m^(-2)*A1^(-1)*A2^(-1) + 2*m^(-1)*A1^(-2) + m^(-1)*A1^(-1)*A2^(-1) + 2*m^(-1)*A1^(-1) + 3*m^(-1)*A2^(-1) + A1^(-2)*A2 + 2*A1^(-1) + A1^(-1)*A2 + A2^(-1) + 5 + A1*A2^(-1) + m*A1^(-1)*A2 + m + 3*m*A2 + m*A1*A2^(-1) + 2*m*A1 + m^2*A2 + 2*m^2*A1 + m^2*A1*A2 + m^2*A1^2*A2^(-1) + m^3*A1*A2 + 2*m^3*A1^2 + m^4*A1^2*A2
VertexMaslovRank
(-2, -1)-21
(2, -1)21
(2, 1)41
(-2, 1)01
HFL polytope-202-101A1A2

Record

FL/HFL Links

orderOption(int) 1655
namestring L11n226{0}
statusstring success
slugstring L11n226_0_5dfda14e
result_filestring details/L11n226_0_5dfda14e.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 38
wall_secondsOption(float) 0.002026
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 15
vertex_countOption(int) 4
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n226_0_5dfda14e"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n226_0_5dfda14e