details/L11a451_1_1_013f918b.json

Multivariable Alexander polynomial

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

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Dual Thurston polytope

VertexDual to fibered face
(1, 1, -3) yes
(1, -3, 1) yes
(-1, 3, -1) yes
(1, -3, 3) yes
(1, 3, -1) no
(-1, -3, 3) yes
(-1, 1, -3) no
(1, 3, -3) yes
(-1, 3, -3) yes
(1, -1, 3) no
(-1, -1, 3) yes
(-1, -3, 1) no
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HFL polytope

Poincaré polynomial
2*m^(-6)*A1^(-1)*A2^(-2) + 2*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-6)*A1^(-1)*A3^(-2) + 3*m^(-5)*A1^(-1)*A2^(-2)*A3 + 7*m^(-5)*A1^(-1)*A2^(-1) + 7*m^(-5)*A1^(-1)*A3^(-1) + 3*m^(-5)*A1^(-1)*A2*A3^(-2) + 3*m^(-5)*A2^(-2) + 3*m^(-5)*A2^(-1)*A3^(-1) + 3*m^(-5)*A3^(-2) + m^(-4)*A1^(-1)*A2^(-2)*A3^2 + 7*m^(-4)*A1^(-1)*A2^(-1)*A3 + 9*m^(-4)*A1^(-1) + 7*m^(-4)*A1^(-1)*A2*A3^(-1) + m^(-4)*A1^(-1)*A2^2*A3^(-2) + 5*m^(-4)*A2^(-2)*A3 + 12*m^(-4)*A2^(-1) + 12*m^(-4)*A3^(-1) + 5*m^(-4)*A2*A3^(-2) + m^(-4)*A1*A2^(-2) + m^(-4)*A1*A2^(-1)*A3^(-1) + m^(-4)*A1*A3^(-2) + 2*m^(-3)*A1^(-1)*A2^(-1)*A3^2 + 5*m^(-3)*A1^(-1)*A3 + 5*m^(-3)*A1^(-1)*A2 + 2*m^(-3)*A1^(-1)*A2^2*A3^(-1) + 2*m^(-3)*A2^(-2)*A3^2 + 14*m^(-3)*A2^(-1)*A3 + 18*m^(-3) + 14*m^(-3)*A2*A3^(-1) + 2*m^(-3)*A2^2*A3^(-2) + 2*m^(-3)*A1*A2^(-2)*A3 + 5*m^(-3)*A1*A2^(-1) + 5*m^(-3)*A1*A3^(-1) + 2*m^(-3)*A1*A2*A3^(-2) + m^(-2)*A1^(-1)*A3^2 + m^(-2)*A1^(-1)*A2*A3 + m^(-2)*A1^(-1)*A2^2 + 5*m^(-2)*A2^(-1)*A3^2 + 12*m^(-2)*A3 + 12*m^(-2)*A2 + 5*m^(-2)*A2^2*A3^(-1) + m^(-2)*A1*A2^(-2)*A3^2 + 7*m^(-2)*A1*A2^(-1)*A3 + 9*m^(-2)*A1 + 7*m^(-2)*A1*A2*A3^(-1) + m^(-2)*A1*A2^2*A3^(-2) + 3*m^(-1)*A3^2 + 3*m^(-1)*A2*A3 + 3*m^(-1)*A2^2 + 3*m^(-1)*A1*A2^(-1)*A3^2 + 7*m^(-1)*A1*A3 + 7*m^(-1)*A1*A2 + 3*m^(-1)*A1*A2^2*A3^(-1) + 2*A1*A3^2 + 2*A1*A2*A3 + 2*A1*A2^2
VertexMaslovRank
(-1, -2, 0)-62
(-1, -2, 2)-41
(-1, 0, -2)-62
(-1, 0, 2)-21
(-1, 2, -2)-41
(-1, 2, 0)-21
(1, -2, 0)-41
(1, -2, 2)-21
(1, 0, -2)-41
(1, 0, 2)02
(1, 2, -2)-21
(1, 2, 0)02
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Record

FL/HFL Links

orderOption(int) 2564
namestring L11a451{1;1}
statusstring success
slugstring L11a451_1_1_013f918b
result_filestring details/L11a451_1_1_013f918b.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 272
wall_secondsOption(float) 0.002973
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 57
vertex_countOption(int) 12
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 20
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a451_1_1_013f918b"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a451_1_1_013f918b