details/L11n239_1_7d619e1c.json

Multivariable Alexander polynomial

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

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, -3) yes
(1, -1) no
(3, 1) no
(3, 3) yes
(-1, 1) no
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
m^(-7)*A1^(-2)*A2^(-2) + 3*m^(-6)*A1^(-2)*A2^(-1) + m^(-6)*A1^(-1)*A2^(-2) + 2*m^(-5)*A1^(-2) + 3*m^(-5)*A1^(-1)*A2^(-1) + 2*m^(-4)*A1^(-1)*A2^(-1) + 2*m^(-4)*A1^(-1) + 4*m^(-3)*A1^(-1) + 4*m^(-3)*A2^(-1) + m^(-3) + 2*m^(-2)*A1^(-1)*A2 + 9*m^(-2) + 2*m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1 + 4*m^(-1)*A2 + 4*m^(-1)*A1 + 3*m^(-1)*A1*A2 + 2*m^(-1)*A1^2 + 2*A1*A2 + A1*A2^2 + 3*A1^2*A2 + m*A1^2*A2^2
VertexMaslovRank
(-2, -2)-71
(-1, -2)-61
(1, -1)-22
(2, 0)-12
(2, 2)11
(1, 2)01
(-1, 1)-22
(-2, 0)-52
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1684
namestring L11n239{1}
statusstring success
slugstring L11n239_1_7d619e1c
result_filestring details/L11n239_1_7d619e1c.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 58
wall_secondsOption(float) 0.002065
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 17
vertex_countOption(int) 8
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n239_1_7d619e1c"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n239_1_7d619e1c