details/L11a168_0_f5236ae9.json

Multivariable Alexander polynomial

ΔL
A1*A2^(3) - 3*A1*A2^(2) + 4*A1*A2 - 4*A1 + 3*A1*A2^(-1) - A1*A2^(-2) - A2^(3) + 4*A2^(2) - 7*A2 + 7 - 7*A2^(-1) + 4*A2^(-2) - A2^(-3) - A1^(-1)*A2^(2) + 3*A1^(-1)*A2 - 4*A1^(-1) + 4*A1^(-1)*A2^(-1) - 3*A1^(-1)*A2^(-2) + A1^(-1)*A2^(-3)

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-10105A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -6) yes
(0, -6) yes
(2, -4) yes
(2, 6) yes
(0, 6) yes
(-2, 4) yes
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-3/2)*A2^(-7/2) + 4*m^(-3)*A1^(-3/2)*A2^(-5/2) + 2*m^(-3)*A1^(-1/2)*A2^(-7/2) + 7*m^(-2)*A1^(-3/2)*A2^(-3/2) + 9*m^(-2)*A1^(-1/2)*A2^(-5/2) + m^(-2)*A1^(1/2)*A2^(-7/2) + 8*m^(-1)*A1^(-3/2)*A2^(-1/2) + 18*m^(-1)*A1^(-1/2)*A2^(-3/2) + 6*m^(-1)*A1^(1/2)*A2^(-5/2) + 7*A1^(-3/2)*A2^(1/2) + 22*A1^(-1/2)*A2^(-1/2) + 15*A1^(1/2)*A2^(-3/2) + A1^(3/2)*A2^(-5/2) + 4*m*A1^(-3/2)*A2^(3/2) + 21*m*A1^(-1/2)*A2^(1/2) + 21*m*A1^(1/2)*A2^(-1/2) + 4*m*A1^(3/2)*A2^(-3/2) + m^2*A1^(-3/2)*A2^(5/2) + 15*m^2*A1^(-1/2)*A2^(3/2) + 22*m^2*A1^(1/2)*A2^(1/2) + 7*m^2*A1^(3/2)*A2^(-1/2) + 6*m^3*A1^(-1/2)*A2^(5/2) + 18*m^3*A1^(1/2)*A2^(3/2) + 8*m^3*A1^(3/2)*A2^(1/2) + m^4*A1^(-1/2)*A2^(7/2) + 9*m^4*A1^(1/2)*A2^(5/2) + 7*m^4*A1^(3/2)*A2^(3/2) + 2*m^5*A1^(1/2)*A2^(7/2) + 4*m^5*A1^(3/2)*A2^(5/2) + m^6*A1^(3/2)*A2^(7/2)
VertexMaslovRank
(-3/2, -7/2)-41
(1/2, -7/2)-21
(3/2, -5/2)01
(3/2, 7/2)61
(-1/2, 7/2)41
(-3/2, 5/2)21
HFL polytope-20205A1A2

Record

FL/HFL Links

orderOption(int) 757
namestring L11a168{0}
statusstring success
slugstring L11a168_0_f5236ae9
result_filestring details/L11a168_0_f5236ae9.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 252
wall_secondsOption(float) 0.003893
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 30
vertex_countOption(int) 6
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 19
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a168_0_f5236ae9"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a168_0_f5236ae9