details/L11n366_1_1_a5d0d168.json

Multivariable Alexander polynomial

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

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, 2, 2) yes
(-1, -4, -2) yes
(-1, -2, -2) yes
(1, -4, -2) yes
(1, -2, -2) yes
(1, 2, 2) yes
(1, 4, 2) yes
(-1, 4, 2) yes
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HFL polytope

Poincaré polynomial
m^(-9)*A1^(-1)*A2^(-5/2)*A3^(-3/2) + m^(-8)*A1^(-1)*A2^(-5/2)*A3^(-1/2) + 2*m^(-8)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 2*m^(-8)*A2^(-5/2)*A3^(-3/2) + 2*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + m^(-7)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 2*m^(-7)*A2^(-5/2)*A3^(-1/2) + 4*m^(-7)*A2^(-3/2)*A3^(-3/2) + m^(-7)*A1*A2^(-5/2)*A3^(-3/2) + m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 4*m^(-6)*A2^(-3/2)*A3^(-1/2) + 2*m^(-6)*A2^(-1/2)*A3^(-3/2) + m^(-6)*A1*A2^(-5/2)*A3^(-1/2) + 2*m^(-6)*A1*A2^(-3/2)*A3^(-3/2) + 3*m^(-5)*A2^(-1/2)*A3^(-1/2) + 2*m^(-5)*A1*A2^(-3/2)*A3^(-1/2) + m^(-5)*A1*A2^(-1/2)*A3^(-3/2) + m^(-4)*A1^(-1)*A2^(1/2)*A3^(1/2) + m^(-4)*A2^(-1/2)*A3^(-1/2) + m^(-4)*A2^(-1/2)*A3^(1/2) + m^(-4)*A2^(1/2)*A3^(-1/2) + m^(-4)*A1*A2^(-1/2)*A3^(-1/2) + m^(-3)*A1^(-1)*A2^(1/2)*A3^(3/2) + 2*m^(-3)*A1^(-1)*A2^(3/2)*A3^(1/2) + m^(-3)*A2^(-1/2)*A3^(1/2) + m^(-3)*A2^(1/2)*A3^(-1/2) + 3*m^(-3)*A2^(1/2)*A3^(1/2) + 2*m^(-2)*A1^(-1)*A2^(3/2)*A3^(3/2) + m^(-2)*A1^(-1)*A2^(5/2)*A3^(1/2) + m^(-2)*A2^(1/2)*A3^(1/2) + 2*m^(-2)*A2^(1/2)*A3^(3/2) + 4*m^(-2)*A2^(3/2)*A3^(1/2) + m^(-2)*A1*A2^(1/2)*A3^(1/2) + m^(-1)*A1^(-1)*A2^(5/2)*A3^(3/2) + 4*m^(-1)*A2^(3/2)*A3^(3/2) + 2*m^(-1)*A2^(5/2)*A3^(1/2) + m^(-1)*A1*A2^(1/2)*A3^(3/2) + 2*m^(-1)*A1*A2^(3/2)*A3^(1/2) + 2*A2^(5/2)*A3^(3/2) + 2*A1*A2^(3/2)*A3^(3/2) + A1*A2^(5/2)*A3^(1/2) + m*A1*A2^(5/2)*A3^(3/2)
VertexMaslovRank
(-1, -5/2, -3/2)-91
(-1, -5/2, -1/2)-81
(-1, -1/2, -3/2)-71
(-1, 1/2, 3/2)-31
(-1, 5/2, 1/2)-21
(-1, 5/2, 3/2)-11
(1, -5/2, -3/2)-71
(1, -5/2, -1/2)-61
(1, -1/2, -3/2)-51
(1, 1/2, 3/2)-11
(1, 5/2, 1/2)01
(1, 5/2, 3/2)11
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Record

FL/HFL Links

orderOption(int) 3328
namestring L11n366{1;1}
statusstring success
slugstring L11n366_1_1_a5d0d168
result_filestring details/L11n366_1_1_a5d0d168.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 72
wall_secondsOption(float) 0.002852
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 38
vertex_countOption(int) 12
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n366_1_1_a5d0d168"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n366_1_1_a5d0d168