details/L11a171_0_7ae366f6.json

Multivariable Alexander polynomial

ΔL
-2*A1*A2^(2) + 7*A1*A2 - 9*A1 + 5*A1*A2^(-1) - A1*A2^(-2) + 3*A2^(2) - 12*A2 + 17 - 12*A2^(-1) + 3*A2^(-2) - A1^(-1)*A2^(2) + 5*A1^(-1)*A2 - 9*A1^(-1) + 7*A1^(-1)*A2^(-1) - 2*A1^(-1)*A2^(-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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -4) no
(2, -4) yes
(2, 4) no
(-2, 4) yes
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
2*m^(-3)*A1^(-3/2)*A2^(-5/2) + 9*m^(-2)*A1^(-3/2)*A2^(-3/2) + 5*m^(-2)*A1^(-1/2)*A2^(-5/2) + 16*m^(-1)*A1^(-3/2)*A2^(-1/2) + 24*m^(-1)*A1^(-1/2)*A2^(-3/2) + 4*m^(-1)*A1^(1/2)*A2^(-5/2) + 14*A1^(-3/2)*A2^(1/2) + 45*A1^(-1/2)*A2^(-1/2) + 21*A1^(1/2)*A2^(-3/2) + A1^(3/2)*A2^(-5/2) + 6*m*A1^(-3/2)*A2^(3/2) + 43*m*A1^(-1/2)*A2^(1/2) + 43*m*A1^(1/2)*A2^(-1/2) + 6*m*A1^(3/2)*A2^(-3/2) + m^2*A1^(-3/2)*A2^(5/2) + 21*m^2*A1^(-1/2)*A2^(3/2) + 45*m^2*A1^(1/2)*A2^(1/2) + 14*m^2*A1^(3/2)*A2^(-1/2) + 4*m^3*A1^(-1/2)*A2^(5/2) + 24*m^3*A1^(1/2)*A2^(3/2) + 16*m^3*A1^(3/2)*A2^(1/2) + 5*m^4*A1^(1/2)*A2^(5/2) + 9*m^4*A1^(3/2)*A2^(3/2) + 2*m^5*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-32
(3/2, -5/2)01
(3/2, 5/2)52
(-3/2, 5/2)21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 765
namestring L11a171{0}
statusstring success
slugstring L11a171_0_7ae366f6
result_filestring details/L11a171_0_7ae366f6.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 380
wall_secondsOption(float) 0.004703
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 24
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 15
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a171_0_7ae366f6"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a171_0_7ae366f6