details/L11a345_1_1121036c.json

Multivariable Alexander polynomial

ΔL
-2*A1^(3/2)*A2^(3/2) + 6*A1^(3/2)*A2^(1/2) - 4*A1^(3/2)*A2^(-1/2) + A1^(3/2)*A2^(-3/2) + 2*A1^(1/2)*A2^(3/2) - 6*A1^(1/2)*A2^(1/2) + 6*A1^(1/2)*A2^(-1/2) - 2*A1^(1/2)*A2^(-3/2) - 2*A1^(-1/2)*A2^(3/2) + 6*A1^(-1/2)*A2^(1/2) - 6*A1^(-1/2)*A2^(-1/2) + 2*A1^(-1/2)*A2^(-3/2) + A1^(-3/2)*A2^(3/2) - 4*A1^(-3/2)*A2^(1/2) + 6*A1^(-3/2)*A2^(-1/2) - 2*A1^(-3/2)*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-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -3) no
(3, -3) yes
(3, 3) no
(-3, 3) yes
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
2*m^(-7)*A1^(-2)*A2^(-2) + 8*m^(-6)*A1^(-2)*A2^(-1) + 4*m^(-6)*A1^(-1)*A2^(-2) + 10*m^(-5)*A1^(-2) + 16*m^(-5)*A1^(-1)*A2^(-1) + 4*m^(-5)*A2^(-2) + 5*m^(-4)*A1^(-2)*A2 + 22*m^(-4)*A1^(-1) + 16*m^(-4)*A2^(-1) + 3*m^(-4)*A1*A2^(-2) + m^(-3)*A1^(-2)*A2^2 + 13*m^(-3)*A1^(-1)*A2 + 24*m^(-3) + 13*m^(-3)*A1*A2^(-1) + m^(-3)*A1^2*A2^(-2) + 3*m^(-2)*A1^(-1)*A2^2 + 16*m^(-2)*A2 + 22*m^(-2)*A1 + 5*m^(-2)*A1^2*A2^(-1) + 4*m^(-1)*A2^2 + 16*m^(-1)*A1*A2 + 10*m^(-1)*A1^2 + 4*A1*A2^2 + 8*A1^2*A2 + 2*m*A1^2*A2^2
VertexMaslovRank
(-2, -2)-72
(2, -2)-31
(2, 2)12
(-2, 2)-31
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1152
namestring L11a345{1}
statusstring success
slugstring L11a345_1_1121036c
result_filestring details/L11a345_1_1121036c.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 232
wall_secondsOption(float) 0.004105
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 25
vertex_countOption(int) 4
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a345_1_1121036c"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a345_1_1121036c