details/L11n126_0_a9fb336d.json

Multivariable Alexander polynomial

ΔL
-2*A1 + 3*A1*A2^(-1) - A1*A2^(-2) + A2^(2) - 4*A2 + 7 - 4*A2^(-1) + A2^(-2) - A1^(-1)*A2^(2) + 3*A1^(-1)*A2 - 2*A1^(-1)

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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(0, -4) yes
(2, -4) yes
(2, 0) no
(0, 4) yes
(-2, 4) yes
(-2, 0) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-1/2)*A2^(-5/2) + 2*m^(-3)*A1^(-3/2)*A2^(-1/2) + 5*m^(-3)*A1^(-1/2)*A2^(-3/2) + 2*m^(-3)*A1^(1/2)*A2^(-5/2) + 5*m^(-2)*A1^(-3/2)*A2^(1/2) + 13*m^(-2)*A1^(-1/2)*A2^(-1/2) + 9*m^(-2)*A1^(1/2)*A2^(-3/2) + m^(-2)*A1^(3/2)*A2^(-5/2) + 4*m^(-1)*A1^(-3/2)*A2^(3/2) + 16*m^(-1)*A1^(-1/2)*A2^(1/2) + 16*m^(-1)*A1^(1/2)*A2^(-1/2) + 4*m^(-1)*A1^(3/2)*A2^(-3/2) + A1^(-3/2)*A2^(5/2) + 9*A1^(-1/2)*A2^(3/2) + 13*A1^(1/2)*A2^(1/2) + 5*A1^(3/2)*A2^(-1/2) + 2*m*A1^(-1/2)*A2^(5/2) + 5*m*A1^(1/2)*A2^(3/2) + 2*m*A1^(3/2)*A2^(1/2) + m^2*A1^(1/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -1/2)-32
(-1/2, -5/2)-41
(3/2, -5/2)-21
(3/2, 1/2)12
(1/2, 5/2)21
(-3/2, 5/2)01
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1433
namestring L11n126{0}
statusstring success
slugstring L11n126_0_a9fb336d
result_filestring details/L11n126_0_a9fb336d.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 116
wall_secondsOption(float) 0.002257
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 20
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 11
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n126_0_a9fb336d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n126_0_a9fb336d