details/L11a504_1_1_f676bfd8.json

Multivariable Alexander polynomial

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

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Dual Thurston polytope

VertexDual to fibered face
(2, -2, 3) yes
(0, 2, -3) yes
(0, 2, 3) yes
(-2, 0, -3) yes
(0, -2, -3) yes
(-2, 0, 3) yes
(0, -2, 3) yes
(-2, 2, -3) yes
(-2, 2, 3) no
(2, 0, -3) yes
(2, 0, 3) yes
(2, -2, -3) no
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HFL polytope

Poincaré polynomial
m^(-4)*A1^(-3/2)*A2^(-1/2)*A3^(-2) + m^(-4)*A1^(-1/2)*A2^(-3/2)*A3^(-2) + 2*m^(-3)*A1^(-3/2)*A2^(-1/2)*A3^(-1) + 2*m^(-3)*A1^(-3/2)*A2^(1/2)*A3^(-2) + 2*m^(-3)*A1^(-1/2)*A2^(-3/2)*A3^(-1) + 4*m^(-3)*A1^(-1/2)*A2^(-1/2)*A3^(-2) + 3*m^(-3)*A1^(1/2)*A2^(-3/2)*A3^(-2) + 2*m^(-2)*A1^(-3/2)*A2^(-1/2) + 5*m^(-2)*A1^(-3/2)*A2^(1/2)*A3^(-1) + m^(-2)*A1^(-3/2)*A2^(3/2)*A3^(-2) + 2*m^(-2)*A1^(-1/2)*A2^(-3/2) + 8*m^(-2)*A1^(-1/2)*A2^(-1/2)*A3^(-1) + 5*m^(-2)*A1^(-1/2)*A2^(1/2)*A3^(-2) + 6*m^(-2)*A1^(1/2)*A2^(-3/2)*A3^(-1) + 6*m^(-2)*A1^(1/2)*A2^(-1/2)*A3^(-2) + 2*m^(-2)*A1^(3/2)*A2^(-3/2)*A3^(-2) + 2*m^(-1)*A1^(-3/2)*A2^(-1/2)*A3 + 6*m^(-1)*A1^(-3/2)*A2^(1/2) + 3*m^(-1)*A1^(-3/2)*A2^(3/2)*A3^(-1) + 2*m^(-1)*A1^(-1/2)*A2^(-3/2)*A3 + 8*m^(-1)*A1^(-1/2)*A2^(-1/2) + 11*m^(-1)*A1^(-1/2)*A2^(1/2)*A3^(-1) + 2*m^(-1)*A1^(-1/2)*A2^(3/2)*A3^(-2) + 6*m^(-1)*A1^(1/2)*A2^(-3/2) + 12*m^(-1)*A1^(1/2)*A2^(-1/2)*A3^(-1) + 4*m^(-1)*A1^(1/2)*A2^(1/2)*A3^(-2) + 4*m^(-1)*A1^(3/2)*A2^(-3/2)*A3^(-1) + 3*m^(-1)*A1^(3/2)*A2^(-1/2)*A3^(-2) + A1^(-3/2)*A2^(-1/2)*A3^2 + 6*A1^(-3/2)*A2^(1/2)*A3 + 4*A1^(-3/2)*A2^(3/2) + A1^(-1/2)*A2^(-3/2)*A3^2 + 8*A1^(-1/2)*A2^(-1/2)*A3 + 12*A1^(-1/2)*A2^(1/2) + 5*A1^(-1/2)*A2^(3/2)*A3^(-1) + 5*A1^(1/2)*A2^(-3/2)*A3 + 12*A1^(1/2)*A2^(-1/2) + 8*A1^(1/2)*A2^(1/2)*A3^(-1) + A1^(1/2)*A2^(3/2)*A3^(-2) + 4*A1^(3/2)*A2^(-3/2) + 6*A1^(3/2)*A2^(-1/2)*A3^(-1) + A1^(3/2)*A2^(1/2)*A3^(-2) + 3*m*A1^(-3/2)*A2^(1/2)*A3^2 + 4*m*A1^(-3/2)*A2^(3/2)*A3 + 4*m*A1^(-1/2)*A2^(-1/2)*A3^2 + 12*m*A1^(-1/2)*A2^(1/2)*A3 + 6*m*A1^(-1/2)*A2^(3/2) + 2*m*A1^(1/2)*A2^(-3/2)*A3^2 + 11*m*A1^(1/2)*A2^(-1/2)*A3 + 8*m*A1^(1/2)*A2^(1/2) + 2*m*A1^(1/2)*A2^(3/2)*A3^(-1) + 3*m*A1^(3/2)*A2^(-3/2)*A3 + 6*m*A1^(3/2)*A2^(-1/2) + 2*m*A1^(3/2)*A2^(1/2)*A3^(-1) + 2*m^2*A1^(-3/2)*A2^(3/2)*A3^2 + 6*m^2*A1^(-1/2)*A2^(1/2)*A3^2 + 6*m^2*A1^(-1/2)*A2^(3/2)*A3 + 5*m^2*A1^(1/2)*A2^(-1/2)*A3^2 + 8*m^2*A1^(1/2)*A2^(1/2)*A3 + 2*m^2*A1^(1/2)*A2^(3/2) + m^2*A1^(3/2)*A2^(-3/2)*A3^2 + 5*m^2*A1^(3/2)*A2^(-1/2)*A3 + 2*m^2*A1^(3/2)*A2^(1/2) + 3*m^3*A1^(-1/2)*A2^(3/2)*A3^2 + 4*m^3*A1^(1/2)*A2^(1/2)*A3^2 + 2*m^3*A1^(1/2)*A2^(3/2)*A3 + 2*m^3*A1^(3/2)*A2^(-1/2)*A3^2 + 2*m^3*A1^(3/2)*A2^(1/2)*A3 + m^4*A1^(1/2)*A2^(3/2)*A3^2 + m^4*A1^(3/2)*A2^(1/2)*A3^2
VertexMaslovRank
(-3/2, -1/2, -2)-41
(-3/2, -1/2, 2)01
(-3/2, 3/2, -2)-21
(-3/2, 3/2, 2)22
(-1/2, -3/2, -2)-41
(-1/2, -3/2, 2)01
(1/2, 3/2, -2)01
(1/2, 3/2, 2)41
(3/2, -3/2, -2)-22
(3/2, -3/2, 2)21
(3/2, 1/2, -2)01
(3/2, 1/2, 2)41
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Record

FL/HFL Links

orderOption(int) 2776
namestring L11a504{1;1}
statusstring success
slugstring L11a504_1_1_f676bfd8
result_filestring details/L11a504_1_1_f676bfd8.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 304
wall_secondsOption(float) 0.002753
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 70
vertex_countOption(int) 12
fibered_vertex_countOption(int) 10
polytope_statusstring computed
alexander_support_sizeOption(int) 28
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a504_1_1_f676bfd8"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a504_1_1_f676bfd8