details/L11a492_0_1_b8e5ba3f.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(5/2)*A3^(1/2) - A1^(1/2)*A2^(5/2)*A3^(-1/2) - 3*A1^(1/2)*A2^(3/2)*A3^(1/2) + 3*A1^(1/2)*A2^(3/2)*A3^(-1/2) + 5*A1^(1/2)*A2^(1/2)*A3^(1/2) - 5*A1^(1/2)*A2^(1/2)*A3^(-1/2) - 5*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 5*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + 3*A1^(1/2)*A2^(-3/2)*A3^(1/2) - 3*A1^(1/2)*A2^(-3/2)*A3^(-1/2) - A1^(1/2)*A2^(-5/2)*A3^(1/2) + A1^(1/2)*A2^(-5/2)*A3^(-1/2) - A1^(-1/2)*A2^(5/2)*A3^(1/2) + A1^(-1/2)*A2^(5/2)*A3^(-1/2) + 3*A1^(-1/2)*A2^(3/2)*A3^(1/2) - 3*A1^(-1/2)*A2^(3/2)*A3^(-1/2) - 5*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 5*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + 5*A1^(-1/2)*A2^(-1/2)*A3^(1/2) - 5*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - 3*A1^(-1/2)*A2^(-3/2)*A3^(1/2) + 3*A1^(-1/2)*A2^(-3/2)*A3^(-1/2) + A1^(-1/2)*A2^(-5/2)*A3^(1/2) - A1^(-1/2)*A2^(-5/2)*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.

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Dual Thurston polytope

VertexDual to fibered face
(1, 5, 1) yes
(-1, 5, 1) yes
(1, -5, 1) yes
(-1, -5, 1) yes
(1, -5, -1) yes
(-1, 5, -1) yes
(-1, -5, -1) yes
(1, 5, -1) yes
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HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-3)*A3^(-1) + 2*m^(-5)*A1^(-1)*A2^(-3) + 4*m^(-5)*A1^(-1)*A2^(-2)*A3^(-1) + 2*m^(-5)*A2^(-3)*A3^(-1) + m^(-4)*A1^(-1)*A2^(-3)*A3 + 8*m^(-4)*A1^(-1)*A2^(-2) + 8*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-4)*A2^(-3) + 8*m^(-4)*A2^(-2)*A3^(-1) + m^(-4)*A1*A2^(-3)*A3^(-1) + 4*m^(-3)*A1^(-1)*A2^(-2)*A3 + 16*m^(-3)*A1^(-1)*A2^(-1) + 10*m^(-3)*A1^(-1)*A3^(-1) + 2*m^(-3)*A2^(-3)*A3 + 16*m^(-3)*A2^(-2) + 16*m^(-3)*A2^(-1)*A3^(-1) + 2*m^(-3)*A1*A2^(-3) + 4*m^(-3)*A1*A2^(-2)*A3^(-1) + 8*m^(-2)*A1^(-1)*A2^(-1)*A3 + 20*m^(-2)*A1^(-1) + 8*m^(-2)*A1^(-1)*A2*A3^(-1) + 8*m^(-2)*A2^(-2)*A3 + 32*m^(-2)*A2^(-1) + 20*m^(-2)*A3^(-1) + m^(-2)*A1*A2^(-3)*A3 + 8*m^(-2)*A1*A2^(-2) + 8*m^(-2)*A1*A2^(-1)*A3^(-1) + 10*m^(-1)*A1^(-1)*A3 + 16*m^(-1)*A1^(-1)*A2 + 4*m^(-1)*A1^(-1)*A2^2*A3^(-1) + 16*m^(-1)*A2^(-1)*A3 + 40*m^(-1) + 16*m^(-1)*A2*A3^(-1) + 4*m^(-1)*A1*A2^(-2)*A3 + 16*m^(-1)*A1*A2^(-1) + 10*m^(-1)*A1*A3^(-1) + 8*A1^(-1)*A2*A3 + 8*A1^(-1)*A2^2 + A1^(-1)*A2^3*A3^(-1) + 20*A3 + 32*A2 + 8*A2^2*A3^(-1) + 8*A1*A2^(-1)*A3 + 20*A1 + 8*A1*A2*A3^(-1) + 4*m*A1^(-1)*A2^2*A3 + 2*m*A1^(-1)*A2^3 + 16*m*A2*A3 + 16*m*A2^2 + 2*m*A2^3*A3^(-1) + 10*m*A1*A3 + 16*m*A1*A2 + 4*m*A1*A2^2*A3^(-1) + m^2*A1^(-1)*A2^3*A3 + 8*m^2*A2^2*A3 + 4*m^2*A2^3 + 8*m^2*A1*A2*A3 + 8*m^2*A1*A2^2 + m^2*A1*A2^3*A3^(-1) + 2*m^3*A2^3*A3 + 4*m^3*A1*A2^2*A3 + 2*m^3*A1*A2^3 + m^4*A1*A2^3*A3
VertexMaslovRank
(-1, -3, -1)-61
(-1, -3, 1)-41
(-1, 3, -1)01
(-1, 3, 1)21
(1, -3, -1)-41
(1, -3, 1)-21
(1, 3, -1)21
(1, 3, 1)41
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Record

FL/HFL Links

orderOption(int) 2726
namestring L11a492{0;1}
statusstring success
slugstring L11a492_0_1_b8e5ba3f
result_filestring details/L11a492_0_1_b8e5ba3f.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 576
wall_secondsOption(float) 0.007059
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 63
vertex_countOption(int) 8
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 24
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a492_0_1_b8e5ba3f"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a492_0_1_b8e5ba3f