details/L11n393_1_0_1c55537d.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(5/2)*A3^(1/2) - 2*A1^(1/2)*A2^(3/2)*A3^(1/2) + A1^(1/2)*A2^(1/2)*A3^(1/2) + A1^(1/2)*A2^(-1/2)*A3^(-1/2) - 2*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) + 2*A1^(-1/2)*A2^(3/2)*A3^(1/2) - A1^(-1/2)*A2^(1/2)*A3^(1/2) - A1^(-1/2)*A2^(-1/2)*A3^(-1/2) + 2*A1^(-1/2)*A2^(-3/2)*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, -1, -1) yes
(-1, -1, 1) no
(1, 1, -1) no
(1, 1, 1) yes
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HFL polytope

Poincaré polynomial
m^(-8)*A1^(-1)*A2^(-3)*A3^(-1) + m^(-7)*A1^(-1)*A2^(-3) + 3*m^(-7)*A1^(-1)*A2^(-2)*A3^(-1) + 2*m^(-7)*A2^(-3)*A3^(-1) + 3*m^(-6)*A1^(-1)*A2^(-2) + 3*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-6)*A2^(-3) + 6*m^(-6)*A2^(-2)*A3^(-1) + m^(-6)*A1*A2^(-3)*A3^(-1) + 4*m^(-5)*A1^(-1)*A2^(-1) + m^(-5)*A1^(-1)*A3^(-1) + 6*m^(-5)*A2^(-2) + 7*m^(-5)*A2^(-1)*A3^(-1) + m^(-5)*A1*A2^(-3) + 3*m^(-5)*A1*A2^(-2)*A3^(-1) + m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A1^(-1)*A2^(-1)*A3 + 4*m^(-4)*A1^(-1) + m^(-4)*A2^(-1)*A3^(-1) + 8*m^(-4)*A2^(-1) + 4*m^(-4)*A3^(-1) + 3*m^(-4)*A1*A2^(-2) + 4*m^(-4)*A1*A2^(-1)*A3^(-1) + m^(-3)*A1^(-1)*A2^(-1)*A3 + 2*m^(-3)*A1^(-1) + 3*m^(-3)*A1^(-1)*A3 + 4*m^(-3)*A1^(-1)*A2 + 2*m^(-3)*A2^(-1) + m^(-3)*A2^(-1)*A3 + 2*m^(-3)*A3^(-1) + 9*m^(-3) + m^(-3)*A2*A3^(-1) + m^(-3)*A1*A2^(-1)*A3^(-1) + 4*m^(-3)*A1*A2^(-1) + 3*m^(-3)*A1*A3^(-1) + 2*m^(-2)*A1^(-1)*A3 + m^(-2)*A1^(-1)*A2 + 4*m^(-2)*A1^(-1)*A2*A3 + 3*m^(-2)*A1^(-1)*A2^2 + m^(-2)*A2^(-1)*A3 + 5*m^(-2) + 4*m^(-2)*A3 + m^(-2)*A2*A3^(-1) + 8*m^(-2)*A2 + m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1*A3^(-1) + 4*m^(-2)*A1 + m^(-2)*A1*A2*A3^(-1) + m^(-1)*A1^(-1)*A2*A3 + 3*m^(-1)*A1^(-1)*A2^2*A3 + m^(-1)*A1^(-1)*A2^3 + 2*m^(-1)*A3 + 2*m^(-1)*A2 + 7*m^(-1)*A2*A3 + 6*m^(-1)*A2^2 + 2*m^(-1)*A1 + m^(-1)*A1*A3 + m^(-1)*A1*A2*A3^(-1) + 4*m^(-1)*A1*A2 + A1^(-1)*A2^3*A3 + A2*A3 + 6*A2^2*A3 + 2*A2^3 + A1*A2 + 3*A1*A2*A3 + 3*A1*A2^2 + 2*m*A2^3*A3 + 3*m*A1*A2^2*A3 + m*A1*A2^3 + m^2*A1*A2^3*A3
VertexMaslovRank
(-1, -3, -1)-81
(-1, -3, 0)-71
(-1, -1, 1)-4, -32
(-1, 0, -1)-51
(-1, 3, 0)-11
(-1, 3, 1)01
(0, -1, 1)-3, -22
(0, 1, -1)-3, -22
(1, -3, -1)-61
(1, -3, 0)-51
(1, 0, 1)-11
(1, 1, -1)-2, -12
(1, 3, 0)11
(1, 3, 1)21
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Record

FL/HFL Links

orderOption(int) 3435
namestring L11n393{1;0}
statusstring success
slugstring L11n393_1_0_1c55537d
result_filestring details/L11n393_1_0_1c55537d.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 194
wall_secondsOption(float) 0.005245
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 49
vertex_countOption(int) 14
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n393_1_0_1c55537d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n393_1_0_1c55537d