details/L10a102_0_7ea3e7ab.json

Multivariable Alexander polynomial

ΔL
-2*A1^(3/2)*A2^(3/2) + A1^(3/2)*A2^(1/2) + A1^(1/2)*A2^(3/2) - 4*A1^(1/2)*A2^(1/2) + 2*A1^(1/2)*A2^(-1/2) + 2*A1^(-1/2)*A2^(1/2) - 4*A1^(-1/2)*A2^(-1/2) + A1^(-1/2)*A2^(-3/2) + A1^(-3/2)*A2^(-1/2) - 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) yes
(-3, -3) no
(-1, -3) yes
(3, 1) yes
(3, 3) no
(1, 3) yes
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
2*m^(-1)*A1^(-2)*A2^(-2) + 3*A1^(-2)*A2^(-1) + 3*A1^(-1)*A2^(-2) + m*A1^(-2) + 8*m*A1^(-1)*A2^(-1) + m*A2^(-2) + 7*m^2*A1^(-1) + 7*m^2*A2^(-1) + 2*m^3*A1^(-1)*A2 + 12*m^3 + 2*m^3*A1*A2^(-1) + 7*m^4*A2 + 7*m^4*A1 + m^5*A2^2 + 8*m^5*A1*A2 + m^5*A1^2 + 3*m^6*A1*A2^2 + 3*m^6*A1^2*A2 + 2*m^7*A1^2*A2^2
VertexMaslovRank
(-2, -2)-12
(0, -2)11
(2, 0)51
(2, 2)72
(0, 2)51
(-2, 0)11
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 243
namestring L10a102{0}
statusstring success
slugstring L10a102_0_7ea3e7ab
result_filestring details/L10a102_0_7ea3e7ab.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 80
wall_secondsOption(float) 0.001628
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 19
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": "L10a102_0_7ea3e7ab"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a102_0_7ea3e7ab