details/L11a348_1_dd82c685.json

Multivariable Alexander polynomial

ΔL
A1^(3/2)*A2^(3/2) - 4*A1^(3/2)*A2^(1/2) + 5*A1^(3/2)*A2^(-1/2) - 2*A1^(3/2)*A2^(-3/2) - 4*A1^(1/2)*A2^(3/2) + 12*A1^(1/2)*A2^(1/2) - 12*A1^(1/2)*A2^(-1/2) + 5*A1^(1/2)*A2^(-3/2) + 5*A1^(-1/2)*A2^(3/2) - 12*A1^(-1/2)*A2^(1/2) + 12*A1^(-1/2)*A2^(-1/2) - 4*A1^(-1/2)*A2^(-3/2) - 2*A1^(-3/2)*A2^(3/2) + 5*A1^(-3/2)*A2^(1/2) - 4*A1^(-3/2)*A2^(-1/2) + 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) yes
(3, -3) no
(3, 3) yes
(-3, 3) no
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-2)*A2^(-2) + 5*m^(-5)*A1^(-2)*A2^(-1) + 5*m^(-5)*A1^(-1)*A2^(-2) + 9*m^(-4)*A1^(-2) + 21*m^(-4)*A1^(-1)*A2^(-1) + 9*m^(-4)*A2^(-2) + 7*m^(-3)*A1^(-2)*A2 + 33*m^(-3)*A1^(-1) + 33*m^(-3)*A2^(-1) + 7*m^(-3)*A1*A2^(-2) + 2*m^(-2)*A1^(-2)*A2^2 + 24*m^(-2)*A1^(-1)*A2 + 48*m^(-2) + 24*m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1^2*A2^(-2) + 7*m^(-1)*A1^(-1)*A2^2 + 33*m^(-1)*A2 + 33*m^(-1)*A1 + 7*m^(-1)*A1^2*A2^(-1) + 9*A2^2 + 21*A1*A2 + 9*A1^2 + 5*m*A1*A2^2 + 5*m*A1^2*A2 + m^2*A1^2*A2^2
VertexMaslovRank
(-2, -2)-61
(2, -2)-22
(2, 2)21
(-2, 2)-22
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 1158
namestring L11a348{1}
statusstring success
slugstring L11a348_1_dd82c685
result_filestring details/L11a348_1_dd82c685.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 360
wall_secondsOption(float) 0.003775
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": "L11a348_1_dd82c685"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a348_1_dd82c685