details/L10a11_0_44b8bd50.json

Multivariable Alexander polynomial

ΔL
2*A1^(1/2)*A2^(3/2) - 7*A1^(1/2)*A2^(1/2) + 7*A1^(1/2)*A2^(-1/2) - 4*A1^(1/2)*A2^(-3/2) + A1^(1/2)*A2^(-5/2) + A1^(-1/2)*A2^(5/2) - 4*A1^(-1/2)*A2^(3/2) + 7*A1^(-1/2)*A2^(1/2) - 7*A1^(-1/2)*A2^(-1/2) + 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-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -3) no
(1, -5) yes
(1, 3) no
(-1, 5) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
2*m^(-2)*A1^(-1)*A2^(-2) + m^(-2)*A2^(-3) + 9*m^(-1)*A1^(-1)*A2^(-1) + 7*m^(-1)*A2^(-2) + m^(-1)*A1*A2^(-3) + 14*A1^(-1) + 20*A2^(-1) + 5*A1*A2^(-2) + 11*m*A1^(-1)*A2 + 28*m + 11*m*A1*A2^(-1) + 5*m^2*A1^(-1)*A2^2 + 20*m^2*A2 + 14*m^2*A1 + m^3*A1^(-1)*A2^3 + 7*m^3*A2^2 + 9*m^3*A1*A2 + m^4*A2^3 + 2*m^4*A1*A2^2
VertexMaslovRank
(-1, -2)-22
(0, -3)-21
(1, -3)-11
(1, 2)42
(0, 3)41
(-1, 3)31
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 281
namestring L10a11{0}
statusstring success
slugstring L10a11_0_44b8bd50
result_filestring details/L10a11_0_44b8bd50.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) 0.002677
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 19
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a11_0_44b8bd50"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a11_0_44b8bd50