details/L8n6_1_0_ad01cd16.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(3/2)*A3^(1/2) - A1^(1/2)*A2^(-1/2)*A3^(1/2) + A1^(-1/2)*A2^(1/2)*A3^(-1/2) - A1^(-1/2)*A2^(-3/2)*A3^(-1/2)

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-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(1, -1, 1) yes
(1, 3, 1) yes
(-1, 1, -1) yes
(-1, -3, -1) yes
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HFL polytope

Poincaré polynomial
m^(-8)*A1^(-1)*A2^(-2)*A3^(-1) + m^(-7)*A1^(-1)*A2^(-2) + m^(-7)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-7)*A2^(-2)*A3^(-1) + m^(-6)*A1^(-1)*A2^(-1) + m^(-6)*A2^(-2) + m^(-6)*A2^(-1)*A3^(-1) + m^(-5)*A1^(-1)*A3^(-1) + m^(-5)*A2^(-1) + m^(-4)*A1^(-1) + m^(-4)*A1^(-1)*A2*A3^(-1) + m^(-4)*A2^(-1) + m^(-4)*A3^(-1) + m^(-4) + m^(-3)*A1^(-1)*A2 + m^(-3)*A2^(-1)*A3 + 3*m^(-3) + m^(-3)*A2*A3^(-1) + m^(-3)*A2 + m^(-3)*A1*A2^(-1) + m^(-2)*A3 + m^(-2)*A2 + m^(-2)*A2*A3 + m^(-2)*A2^2 + m^(-2)*A1*A2^(-1)*A3 + m^(-2)*A1 + m^(-2)*A1*A2 + m^(-1)*A2^2*A3 + m^(-1)*A1*A3 + m^(-1)*A1*A2*A3 + m^(-1)*A1*A2^2 + A1*A2^2*A3
VertexMaslovRank
(-1, -2, -1)-81
(-1, -2, 0)-71
(-1, 1, -1)-41
(-1, 1, 0)-31
(0, -2, -1)-71
(0, -2, 0)-61
(0, -1, 1)-31
(0, 1, -1)-31
(0, 2, 0)-21
(0, 2, 1)-11
(1, -1, 0)-31
(1, -1, 1)-21
(1, 2, 0)-11
(1, 2, 1)01
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Record

FL/HFL Links

orderOption(int) 237
namestring L8n6{1;0}
statusstring success
slugstring L8n6_1_0_ad01cd16
result_filestring details/L8n6_1_0_ad01cd16.json
complexity_scoreOption(int) 192
strandsOption(int) null
crossingsOption(int) 8
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 34
wall_secondsOption(float) 0.002837
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 29
vertex_countOption(int) 14
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L8n6_1_0_ad01cd16"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L8n6_1_0_ad01cd16