details/L11n233_0_9a6312fc.json

Multivariable Alexander polynomial

ΔL
-A1^(3/2)*A2^(5/2) + A1^(1/2)*A2^(3/2) - 3*A1^(1/2)*A2^(1/2) + 2*A1^(1/2)*A2^(-1/2) - A1^(1/2)*A2^(-3/2) - A1^(-1/2)*A2^(3/2) + 2*A1^(-1/2)*A2^(1/2) - 3*A1^(-1/2)*A2^(-1/2) + A1^(-1/2)*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, -5) yes
(1, -3) yes
(3, 5) yes
(-1, 3) yes
Dual Thurston polygon05-505h1h2

HFL polytope

Poincaré polynomial
m^(-1)*A1^(-2)*A2^(-3) + A1^(-2)*A2^(-2) + A1^(-1)*A2^(-3) + A1^(-1)*A2^(-2) + m*A1^(-1)*A2^(-2) + 4*m*A1^(-1)*A2^(-1) + 2*m*A2^(-2) + 5*m^2*A1^(-1) + 7*m^2*A2^(-1) + m^2*A1*A2^(-2) + 3*m^3*A1^(-1)*A2 + 10*m^3 + 3*m^3*A1*A2^(-1) + m^4*A1^(-1)*A2^2 + 7*m^4*A2 + 5*m^4*A1 + 2*m^5*A2^2 + 4*m^5*A1*A2 + m^6*A1*A2^2 + m^7*A1*A2^2 + m^8*A1*A2^3 + m^8*A1^2*A2^2 + m^9*A1^2*A2^3
VertexMaslovRank
(-2, -3)-11
(-1, -3)01
(1, -2)21
(2, 2)81
(2, 3)91
(1, 3)81
(-1, 2)41
(-2, -2)01
HFL polytope-20205A1A2

Record

FL/HFL Links

orderOption(int) 1671
namestring L11n233{0}
statusstring success
slugstring L11n233_0_9a6312fc
result_filestring details/L11n233_0_9a6312fc.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 64
wall_secondsOption(float) 0.002226
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 21
vertex_countOption(int) 8
fibered_vertex_countOption(int) 4
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": "L11n233_0_9a6312fc"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n233_0_9a6312fc