details/L11n235_1_b5c2ffbe.json

Multivariable Alexander polynomial

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

Dual Thurston polytope

VertexDual to fibered face
(-1, -3) yes
(3, -3) yes
(3, -1) no
(1, 3) yes
(-3, 3) yes
(-3, 1) no
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-2) + m^(-5)*A1^(-1)*A2^(-1) + m^(-5)*A2^(-2) + 2*m^(-4)*A1^(-2) + m^(-4)*A2^(-2) + m^(-4)*A2^(-1) + 3*m^(-3)*A1^(-2)*A2 + 3*m^(-3)*A1^(-1) + 2*m^(-3)*A2^(-1) + m^(-3) + 2*m^(-3)*A1*A2^(-2) + m^(-2)*A1^(-2)*A2^2 + 5*m^(-2)*A1^(-1)*A2 + 3*m^(-2) + m^(-2)*A2 + 5*m^(-2)*A1*A2^(-1) + m^(-2)*A1^2*A2^(-2) + 2*m^(-1)*A1^(-1)*A2^2 + 2*m^(-1)*A2 + m^(-1)*A2^2 + 3*m^(-1)*A1 + m^(-1)*A1*A2 + 3*m^(-1)*A1^2*A2^(-1) + A2^2 + A1*A2^2 + 2*A1^2
VertexMaslovRank
(-2, 0)-42
(-1, -2)-61
(2, -2)-21
(2, 0)02
(1, 2)01
(-2, 2)-21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1676
namestring L11n235{1}
statusstring success
slugstring L11n235_1_b5c2ffbe
result_filestring details/L11n235_1_b5c2ffbe.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 50
wall_secondsOption(float) 0.002414
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 21
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n235_1_b5c2ffbe"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n235_1_b5c2ffbe