details/L11n74_0_a1cfecbe.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(3/2) + A1^(1/2)*A2^(1/2) - A1^(1/2)*A2^(-1/2) + A1^(1/2)*A2^(-3/2) - A1^(1/2)*A2^(-7/2) - A1^(-1/2)*A2^(7/2) + A1^(-1/2)*A2^(3/2) - A1^(-1/2)*A2^(1/2) + A1^(-1/2)*A2^(-1/2) - A1^(-1/2)*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-0.500.505A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -3) yes
(1, -7) yes
(1, 3) yes
(-1, 7) yes
Dual Thurston polygon-101-50510h1h2

HFL polytope

Poincaré polynomial
m^(-7)*A2^(-4) + m^(-6)*A2^(-3) + m^(-6)*A1*A2^(-4) + m^(-5)*A1^(-1)*A2^(-2) + m^(-5)*A1*A2^(-3) + 2*m^(-4)*A1^(-1)*A2^(-1) + 2*m^(-4)*A2^(-2) + 2*m^(-3)*A1^(-1) + 4*m^(-3)*A2^(-1) + m^(-3)*A1*A2^(-2) + 2*m^(-2)*A1^(-1)*A2 + 4*m^(-2) + 2*m^(-2)*A1*A2^(-1) + m^(-1)*A1^(-1)*A2^2 + m^(-1)*A1^(-1)*A2^3 + 4*m^(-1)*A2 + 2*m^(-1)*A1 + A1^(-1)*A2^4 + 2*A2^2 + A2^3 + 2*A1*A2 + m*A2^4 + m*A1*A2^2
VertexMaslovRank
(-1, -2)-51
(0, -4)-71
(1, -4)-61
(1, 2)11
(0, 4)11
(-1, 4)01
HFL polytope-101-505A1A2

Record

FL/HFL Links

orderOption(int) 1827
namestring L11n74{0}
statusstring success
slugstring L11n74_0_a1cfecbe
result_filestring details/L11n74_0_a1cfecbe.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 40
wall_secondsOption(float) 0.00197
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 23
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n74_0_a1cfecbe"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n74_0_a1cfecbe