details/L11a356_1_f305c798.json

Multivariable Alexander polynomial

ΔL
A1^(2) - A1^(2)*A2^(-1) + 2*A1*A2 - 4*A1 + 3*A1*A2^(-1) - A1*A2^(-2) + A2^(2) - 4*A2 + 7 - 4*A2^(-1) + A2^(-2) - A1^(-1)*A2^(2) + 3*A1^(-1)*A2 - 4*A1^(-1) + 2*A1^(-1)*A2^(-1) - A1^(-2)*A2 + A1^(-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
(0, -4) yes
(2, -4) yes
(4, -2) yes
(4, 0) yes
(0, 4) yes
(-2, 4) yes
(-4, 2) yes
(-4, 0) yes
Dual Thurston polygon-505-505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-5/2)*A2^(-1/2) + 2*m^(-4)*A1^(-3/2)*A2^(-3/2) + m^(-4)*A1^(-1/2)*A2^(-5/2) + 2*m^(-3)*A1^(-5/2)*A2^(1/2) + 7*m^(-3)*A1^(-3/2)*A2^(-1/2) + 7*m^(-3)*A1^(-1/2)*A2^(-3/2) + 2*m^(-3)*A1^(1/2)*A2^(-5/2) + m^(-2)*A1^(-5/2)*A2^(3/2) + 9*m^(-2)*A1^(-3/2)*A2^(1/2) + 17*m^(-2)*A1^(-1/2)*A2^(-1/2) + 9*m^(-2)*A1^(1/2)*A2^(-3/2) + m^(-2)*A1^(3/2)*A2^(-5/2) + 5*m^(-1)*A1^(-3/2)*A2^(3/2) + 18*m^(-1)*A1^(-1/2)*A2^(1/2) + 18*m^(-1)*A1^(1/2)*A2^(-1/2) + 5*m^(-1)*A1^(3/2)*A2^(-3/2) + A1^(-3/2)*A2^(5/2) + 9*A1^(-1/2)*A2^(3/2) + 17*A1^(1/2)*A2^(1/2) + 9*A1^(3/2)*A2^(-1/2) + A1^(5/2)*A2^(-3/2) + 2*m*A1^(-1/2)*A2^(5/2) + 7*m*A1^(1/2)*A2^(3/2) + 7*m*A1^(3/2)*A2^(1/2) + 2*m*A1^(5/2)*A2^(-1/2) + m^2*A1^(1/2)*A2^(5/2) + 2*m^2*A1^(3/2)*A2^(3/2) + m^2*A1^(5/2)*A2^(1/2)
VertexMaslovRank
(-5/2, -1/2)-41
(-1/2, -5/2)-41
(3/2, -5/2)-21
(5/2, -3/2)01
(5/2, 1/2)21
(1/2, 5/2)21
(-3/2, 5/2)01
(-5/2, 3/2)-21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1176
namestring L11a356{1}
statusstring success
slugstring L11a356_1_f305c798
result_filestring details/L11a356_1_f305c798.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 164
wall_secondsOption(float) 0.003323
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 28
vertex_countOption(int) 8
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 17
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a356_1_f305c798"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a356_1_f305c798