details/L11n360_0_1_865026e0.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2 - 2*A1^(1/2) + A1^(1/2)*A2^(-1) - A1^(-1/2)*A2 + 2*A1^(-1/2) - A1^(-1/2)*A2^(-1)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Projection of Alexander-0.500.5-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, 2, 2) no
(1, 0, -2) no
(1, 2, 0) yes
(1, -2, -2) no
(-1, 2, 0) yes
(1, -2, 0) yes
(-1, -2, 0) yes
(-1, 0, 2) no
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
m^(-5)*A2^(-3/2)*A3^(-3/2) + m^(-4)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + m^(-4)*A2^(-3/2)*A3^(-3/2) + m^(-4)*A2^(-3/2)*A3^(-1/2) + 2*m^(-4)*A2^(-1/2)*A3^(-3/2) + m^(-4)*A1*A2^(-3/2)*A3^(-3/2) + m^(-3)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 3*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + m^(-3)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 3*m^(-3)*A2^(-3/2)*A3^(-1/2) + 2*m^(-3)*A2^(-1/2)*A3^(-3/2) + 3*m^(-3)*A2^(-1/2)*A3^(-1/2) + m^(-3)*A2^(1/2)*A3^(-3/2) + m^(-3)*A1*A2^(-3/2)*A3^(-3/2) + m^(-3)*A1*A2^(-3/2)*A3^(-1/2) + 2*m^(-3)*A1*A2^(-1/2)*A3^(-3/2) + 4*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(1/2) + m^(-2)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 3*m^(-2)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 2*m^(-2)*A1^(-1)*A2^(1/2)*A3^(1/2) + 2*m^(-2)*A2^(-3/2)*A3^(1/2) + 9*m^(-2)*A2^(-1/2)*A3^(-1/2) + 2*m^(-2)*A2^(-1/2)*A3^(1/2) + m^(-2)*A2^(1/2)*A3^(-3/2) + 2*m^(-2)*A2^(1/2)*A3^(-1/2) + 2*m^(-2)*A1*A2^(-3/2)*A3^(-1/2) + 2*m^(-2)*A1*A2^(-1/2)*A3^(-3/2) + 2*m^(-2)*A1*A2^(-1/2)*A3^(-1/2) + m^(-2)*A1*A2^(1/2)*A3^(-3/2) + m^(-1)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 5*m^(-1)*A1^(-1)*A2^(1/2)*A3^(1/2) + 2*m^(-1)*A1^(-1)*A2^(1/2)*A3^(3/2) + m^(-1)*A1^(-1)*A2^(3/2)*A3^(-1/2) + m^(-1)*A1^(-1)*A2^(3/2)*A3^(1/2) + 8*m^(-1)*A2^(-1/2)*A3^(1/2) + m^(-1)*A2^(-1/2)*A3^(3/2) + 8*m^(-1)*A2^(1/2)*A3^(-1/2) + 3*m^(-1)*A2^(1/2)*A3^(1/2) + m^(-1)*A1*A2^(-3/2)*A3^(1/2) + 5*m^(-1)*A1*A2^(-1/2)*A3^(-1/2) + m^(-1)*A1*A2^(1/2)*A3^(-3/2) + m^(-1)*A1*A2^(1/2)*A3^(-1/2) + 2*A1^(-1)*A2^(1/2)*A3^(3/2) + 2*A1^(-1)*A2^(3/2)*A3^(1/2) + A1^(-1)*A2^(3/2)*A3^(3/2) + A2^(-1/2)*A3^(3/2) + 9*A2^(1/2)*A3^(1/2) + 2*A2^(1/2)*A3^(3/2) + 2*A2^(3/2)*A3^(-1/2) + A2^(3/2)*A3^(1/2) + 3*A1*A2^(-1/2)*A3^(1/2) + 4*A1*A2^(1/2)*A3^(-1/2) + m*A1^(-1)*A2^(3/2)*A3^(3/2) + 2*m*A2^(1/2)*A3^(3/2) + 3*m*A2^(3/2)*A3^(1/2) + m*A2^(3/2)*A3^(3/2) + 3*m*A1*A2^(1/2)*A3^(1/2) + m*A1*A2^(3/2)*A3^(-1/2) + m^2*A2^(3/2)*A3^(3/2) + m^2*A1*A2^(3/2)*A3^(1/2)
VertexMaslovRank
(-1, -3/2, -1/2)-41
(-1, -3/2, 1/2)-31
(-1, -1/2, 3/2)-2, -12
(-1, 3/2, -1/2)-11
(-1, 3/2, 3/2)0, 12
(0, -3/2, -3/2)-5, -42
(0, -1/2, 3/2)-1, 02
(0, 1/2, -3/2)-3, -22
(0, 3/2, 3/2)1, 22
(1, -3/2, -3/2)-4, -32
(1, -3/2, 1/2)-11
(1, 1/2, -3/2)-2, -12
(1, 3/2, -1/2)11
(1, 3/2, 1/2)21
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 3302
namestring L11n360{0;1}
statusstring success
slugstring L11n360_0_1_865026e0
result_filestring details/L11n360_0_1_865026e0.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 136
wall_secondsOption(float) 0.0027
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 36
vertex_countOption(int) 14
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 6
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n360_0_1_865026e0"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n360_0_1_865026e0