details/L8a10_0_b55f4f8e.json

Multivariable Alexander polynomial

ΔL
-2*A1 + A1*A2^(-1) - 2*A2 + 3 - 2*A2^(-1) + 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-101-101A1A2

Dual Thurston polytope

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

HFL polytope

Poincaré polynomial
2*m^(-1)*A1^(-3/2)*A2^(-1/2) + 2*m^(-1)*A1^(-1/2)*A2^(-3/2) + 3*A1^(-3/2)*A2^(1/2) + 7*A1^(-1/2)*A2^(-1/2) + 3*A1^(1/2)*A2^(-3/2) + m*A1^(-3/2)*A2^(3/2) + 8*m*A1^(-1/2)*A2^(1/2) + 8*m*A1^(1/2)*A2^(-1/2) + m*A1^(3/2)*A2^(-3/2) + 3*m^2*A1^(-1/2)*A2^(3/2) + 7*m^2*A1^(1/2)*A2^(1/2) + 3*m^2*A1^(3/2)*A2^(-1/2) + 2*m^3*A1^(1/2)*A2^(3/2) + 2*m^3*A1^(3/2)*A2^(1/2)
VertexMaslovRank
(-3/2, -1/2)-12
(-1/2, -3/2)-12
(3/2, -3/2)11
(3/2, 1/2)32
(1/2, 3/2)32
(-3/2, 3/2)11
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 41
namestring L8a10{0}
statusstring success
slugstring L8a10_0_b55f4f8e
result_filestring details/L8a10_0_b55f4f8e.json
complexity_scoreOption(int) 128
strandsOption(int) null
crossingsOption(int) 8
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 52
wall_secondsOption(float) 0.001378
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 14
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 7
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L8a10_0_b55f4f8e"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L8a10_0_b55f4f8e