details/L11n437_1_1_91f34b41.json

Multivariable Alexander polynomial

ΔL
-A1*A2^(3/2) + A1*A2^(-1/2) - A1*A2^(-1/2)*A3^(-1) + A2^(3/2) - A2^(3/2)*A3^(-1) - A2^(1/2)*A3 + A2^(-1/2)*A3^(-1) + A2^(-3/2)*A3 - A2^(-3/2) + A1^(-1)*A2^(1/2)*A3 - A1^(-1)*A2^(1/2) + A1^(-1)*A2^(-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, 1, 2) yes
(0, -1, -2) yes
(0, -3, 0) yes
(0, 3, -2) yes
(2, -1, 0) yes
(-2, -3, 0) yes
(0, 3, 0) yes
(0, -3, 2) yes
(-2, 1, 0) yes
(2, -1, -2) yes
(0, 1, 2) yes
(2, 3, 0) yes
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HFL polytope

Poincaré polynomial
m^(-5)*A1^(-3/2)*A2^(-2)*A3^(-1/2) + m^(-4)*A1^(-3/2)*A2^(-2)*A3^(1/2) + m^(-4)*A1^(-3/2)*A2^(-1)*A3^(-1/2) + 2*m^(-4)*A1^(-1/2)*A2^(-2)*A3^(-1/2) + m^(-3)*A1^(-3/2)*A2^(-1)*A3^(1/2) + 3*m^(-3)*A1^(-1/2)*A2^(-2)*A3^(1/2) + m^(-3)*A1^(-1/2)*A2^(-1)*A3^(-3/2) + 2*m^(-3)*A1^(-1/2)*A2^(-1)*A3^(-1/2) + m^(-3)*A1^(1/2)*A2^(-2)*A3^(-1/2) + m^(-2)*A1^(-3/2)*A3^(-1/2) + m^(-2)*A1^(-1/2)*A2^(-2)*A3^(3/2) + m^(-2)*A1^(-1/2)*A2^(-1)*A3^(-1/2) + 3*m^(-2)*A1^(-1/2)*A2^(-1)*A3^(1/2) + m^(-2)*A1^(-1/2)*A3^(-3/2) + m^(-2)*A1^(-1/2)*A3^(-1/2) + m^(-2)*A1^(-1/2)*A2*A3^(-3/2) + 2*m^(-2)*A1^(1/2)*A2^(-2)*A3^(1/2) + 2*m^(-2)*A1^(1/2)*A2^(-1)*A3^(-3/2) + m^(-2)*A1^(1/2)*A2^(-1)*A3^(-1/2) + 2*m^(-1)*A1^(-3/2)*A3^(1/2) + m^(-1)*A1^(-3/2)*A2*A3^(-1/2) + m^(-1)*A1^(-1/2)*A2^(-1)*A3^(3/2) + 3*m^(-1)*A1^(-1/2)*A3^(-1/2) + m^(-1)*A1^(-1/2)*A3^(1/2) + 2*m^(-1)*A1^(-1/2)*A2*A3^(-1/2) + m^(-1)*A1^(-1/2)*A2^2*A3^(-3/2) + m^(-1)*A1^(1/2)*A2^(-2)*A3^(3/2) + 3*m^(-1)*A1^(1/2)*A2^(-1)*A3^(-1/2) + 2*m^(-1)*A1^(1/2)*A2^(-1)*A3^(1/2) + 2*m^(-1)*A1^(1/2)*A3^(-3/2) + m^(-1)*A1^(1/2)*A3^(-1/2) + m^(-1)*A1^(1/2)*A2*A3^(-3/2) + m^(-1)*A1^(3/2)*A2^(-1)*A3^(-3/2) + A1^(-3/2)*A3^(3/2) + 2*A1^(-3/2)*A2*A3^(1/2) + 4*A1^(-1/2)*A3^(1/2) + A1^(-1/2)*A2*A3^(-1/2) + A1^(-1/2)*A2*A3^(1/2) + 2*A1^(-1/2)*A2^2*A3^(-1/2) + A1^(1/2)*A2^(-1)*A3^(1/2) + A1^(1/2)*A2^(-1)*A3^(3/2) + 4*A1^(1/2)*A3^(-1/2) + A1^(1/2)*A3^(1/2) + 3*A1^(1/2)*A2*A3^(-1/2) + A1^(1/2)*A2^2*A3^(-3/2) + 2*A1^(3/2)*A2^(-1)*A3^(-1/2) + A1^(3/2)*A3^(-3/2) + m*A1^(-3/2)*A2*A3^(3/2) + 2*m*A1^(-1/2)*A3^(3/2) + 3*m*A1^(-1/2)*A2*A3^(1/2) + m*A1^(-1/2)*A2^2*A3^(1/2) + 3*m*A1^(1/2)*A3^(1/2) + 2*m*A1^(1/2)*A2*A3^(1/2) + 3*m*A1^(1/2)*A2^2*A3^(-1/2) + m*A1^(3/2)*A2^(-1)*A3^(1/2) + 2*m*A1^(3/2)*A3^(-1/2) + m*A1^(3/2)*A2*A3^(-1/2) + 2*m^2*A1^(-1/2)*A2*A3^(3/2) + m^2*A1^(1/2)*A3^(3/2) + m^2*A1^(1/2)*A2*A3^(1/2) + 2*m^2*A1^(1/2)*A2^2*A3^(1/2) + m^2*A1^(3/2)*A3^(1/2) + m^2*A1^(3/2)*A2*A3^(1/2) + m^2*A1^(3/2)*A2^2*A3^(-1/2) + m^3*A1^(1/2)*A2*A3^(3/2) + m^3*A1^(3/2)*A2^2*A3^(1/2)
VertexMaslovRank
(-3/2, -2, -1/2)-51
(-3/2, -2, 1/2)-41
(-3/2, 0, 3/2)01
(-3/2, 1, -1/2)-11
(-3/2, 1, 3/2)11
(-1/2, -2, 3/2)-21
(-1/2, -1, -3/2)-31
(-1/2, 2, -3/2)-11
(-1/2, 2, 1/2)11
(1/2, -2, -1/2)-31
(1/2, -2, 3/2)-11
(1/2, 1, 3/2)31
(1/2, 2, -3/2)01
(3/2, -1, -3/2)-11
(3/2, -1, 1/2)11
(3/2, 0, -3/2)01
(3/2, 2, -1/2)21
(3/2, 2, 1/2)31
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Record

FL/HFL Links

orderOption(int) 3612
namestring L11n437{1;1}
statusstring success
slugstring L11n437_1_1_91f34b41
result_filestring details/L11n437_1_1_91f34b41.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 104
wall_secondsOption(float) 0.002078
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 56
vertex_countOption(int) 18
fibered_vertex_countOption(int) 12
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n437_1_1_91f34b41"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n437_1_1_91f34b41