details/L10a108_0_e9308581.json

Multivariable Alexander polynomial

ΔL
-2*A1^(3/2)*A2^(1/2) + 2*A1^(3/2)*A2^(-1/2) - A1^(3/2)*A2^(-3/2) - 2*A1^(1/2)*A2^(3/2) + 6*A1^(1/2)*A2^(1/2) - 6*A1^(1/2)*A2^(-1/2) + 2*A1^(1/2)*A2^(-3/2) + 2*A1^(-1/2)*A2^(3/2) - 6*A1^(-1/2)*A2^(1/2) + 6*A1^(-1/2)*A2^(-1/2) - 2*A1^(-1/2)*A2^(-3/2) - A1^(-3/2)*A2^(3/2) + 2*A1^(-3/2)*A2^(1/2) - 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
(-3, -1) no
(-1, -3) no
(3, -3) yes
(3, 1) no
(1, 3) no
(-3, 3) yes
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
2*m^(-1)*A1^(-2)*A2^(-1) + 2*m^(-1)*A1^(-1)*A2^(-2) + 4*A1^(-2) + 10*A1^(-1)*A2^(-1) + 4*A2^(-2) + 3*m*A1^(-2)*A2 + 16*m*A1^(-1) + 16*m*A2^(-1) + 3*m*A1*A2^(-2) + m^2*A1^(-2)*A2^2 + 11*m^2*A1^(-1)*A2 + 24*m^2 + 11*m^2*A1*A2^(-1) + m^2*A1^2*A2^(-2) + 3*m^3*A1^(-1)*A2^2 + 16*m^3*A2 + 16*m^3*A1 + 3*m^3*A1^2*A2^(-1) + 4*m^4*A2^2 + 10*m^4*A1*A2 + 4*m^4*A1^2 + 2*m^5*A1*A2^2 + 2*m^5*A1^2*A2
VertexMaslovRank
(-2, -1)-12
(-1, -2)-12
(2, -2)21
(2, 1)52
(1, 2)52
(-2, 2)21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 255
namestring L10a108{0}
statusstring success
slugstring L10a108_0_e9308581
result_filestring details/L10a108_0_e9308581.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 168
wall_secondsOption(float) 0.003754
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 23
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a108_0_e9308581"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a108_0_e9308581