details/L10n93_0_0_3ad4f2d8.json

Multivariable Alexander polynomial

ΔL
A1*A2*A3^(3/2) + A3^(1/2) - A3^(-1/2) - A1^(-1)*A2^(-1)*A3^(-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 Projection of Alexander-101-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(0, 0, -1) yes
(2, 2, 3) yes
(0, 0, 1) yes
(-2, -2, -3) yes
Interactive 3D view · hover a vertex for coordinates

HFL polytope

Poincaré polynomial
m^(-2)*A1^(-3/2)*A2^(-3/2)*A3^(-2) + m^(-1)*A1^(-3/2)*A2^(-3/2)*A3^(-1) + m^(-1)*A1^(-3/2)*A2^(-1/2)*A3^(-2) + m^(-1)*A1^(-1/2)*A2^(-3/2)*A3^(-2) + A1^(-3/2)*A2^(-1/2)*A3^(-1) + A1^(-1/2)*A2^(-3/2)*A3^(-1) + A1^(-1/2)*A2^(-1/2)*A3^(-2) + A1^(-1/2)*A2^(-1/2)*A3^(-1) + m*A1^(-1/2)*A2^(-1/2)*A3^(-1) + 2*m*A1^(-1/2)*A2^(-1/2) + m*A1^(-1/2)*A2^(1/2)*A3^(-1) + m*A1^(1/2)*A2^(-1/2)*A3^(-1) + m^2*A1^(-1/2)*A2^(-1/2)*A3 + 2*m^2*A1^(-1/2)*A2^(1/2) + 2*m^2*A1^(1/2)*A2^(-1/2) + m^2*A1^(1/2)*A2^(1/2)*A3^(-1) + m^3*A1^(-1/2)*A2^(1/2)*A3 + m^3*A1^(1/2)*A2^(-1/2)*A3 + 2*m^3*A1^(1/2)*A2^(1/2) + m^4*A1^(1/2)*A2^(1/2)*A3 + m^5*A1^(1/2)*A2^(1/2)*A3 + m^6*A1^(1/2)*A2^(1/2)*A3^2 + m^6*A1^(1/2)*A2^(3/2)*A3 + m^6*A1^(3/2)*A2^(1/2)*A3 + m^7*A1^(1/2)*A2^(3/2)*A3^2 + m^7*A1^(3/2)*A2^(1/2)*A3^2 + m^7*A1^(3/2)*A2^(3/2)*A3 + m^8*A1^(3/2)*A2^(3/2)*A3^2
VertexMaslovRank
(-3/2, -3/2, -2)-21
(-3/2, -3/2, -1)-11
(-3/2, -1/2, -2)-11
(-3/2, -1/2, -1)01
(-1/2, -3/2, -2)-11
(-1/2, -3/2, -1)01
(-1/2, -1/2, -2)01
(-1/2, -1/2, 1)21
(-1/2, 1/2, -1)11
(-1/2, 1/2, 1)31
(1/2, -1/2, -1)11
(1/2, -1/2, 1)31
(1/2, 1/2, -1)21
(1/2, 1/2, 2)61
(1/2, 3/2, 1)61
(1/2, 3/2, 2)71
(3/2, 1/2, 1)61
(3/2, 1/2, 2)71
(3/2, 3/2, 1)71
(3/2, 3/2, 2)81
Interactive 3D view · hover a vertex for coordinates

Record

FL/HFL Links

orderOption(int) 2277
namestring L10n93{0;0}
statusstring success
slugstring L10n93_0_0_3ad4f2d8
result_filestring details/L10n93_0_0_3ad4f2d8.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 32
wall_secondsOption(float) 0.001697
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 26
vertex_countOption(int) 20
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10n93_0_0_3ad4f2d8"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n93_0_0_3ad4f2d8