details/L11n267_0_0_fdeec5cf.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(1/2)*A3^(1/2) - A1^(1/2)*A2^(1/2)*A3^(-1/2) + A1^(1/2)*A2^(1/2)*A3^(-5/2) + A1^(1/2)*A2^(-1/2)*A3^(5/2) - A1^(1/2)*A2^(-1/2)*A3^(3/2) + A1^(1/2)*A2^(-1/2)*A3^(-3/2) - A1^(1/2)*A2^(-1/2)*A3^(-5/2) + A1^(-1/2)*A2^(1/2)*A3^(5/2) - A1^(-1/2)*A2^(1/2)*A3^(3/2) + A1^(-1/2)*A2^(1/2)*A3^(-3/2) - A1^(-1/2)*A2^(1/2)*A3^(-5/2) - A1^(-1/2)*A2^(-1/2)*A3^(5/2) + A1^(-1/2)*A2^(-1/2)*A3^(1/2) - A1^(-1/2)*A2^(-1/2)*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, 5) yes
(-1, 1, 5) yes
(-1, 1, -5) yes
(1, -1, 5) yes
(-1, -1, -1) yes
(1, -1, -5) yes
(1, 1, -5) yes
(1, 1, 1) yes
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HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A3^(-3) + m^(-6)*A2^(-1)*A3^(-3) + 2*m^(-5)*A1^(-1)*A3^(-2) + m^(-5)*A1^(-1)*A2*A3^(-3) + 2*m^(-5)*A2^(-1)*A3^(-2) + 3*m^(-5)*A3^(-3) + m^(-5)*A1*A2^(-1)*A3^(-3) + m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-4)*A1^(-1)*A3^(-1) + 2*m^(-4)*A1^(-1)*A2*A3^(-2) + m^(-4)*A2^(-1)*A3^(-1) + 5*m^(-4)*A3^(-2) + 2*m^(-4)*A2*A3^(-3) + 2*m^(-4)*A1*A2^(-1)*A3^(-2) + 2*m^(-4)*A1*A3^(-3) + 2*m^(-3)*A1^(-1)*A2^(-1) + m^(-3)*A1^(-1)*A3^(-1) + m^(-3)*A1^(-1)*A2*A3^(-1) + m^(-3)*A2^(-1)*A3^(-1) + 2*m^(-3)*A3^(-1) + 3*m^(-3)*A2*A3^(-2) + m^(-3)*A1*A2^(-1)*A3^(-1) + 3*m^(-3)*A1*A3^(-2) + m^(-3)*A1*A2*A3^(-3) + m^(-2)*A1^(-1)*A2^(-1)*A3 + m^(-2)*A1^(-1)*A2^(-1)*A3^2 + 2*m^(-2)*A1^(-1) + m^(-2)*A1^(-1)*A3 + 2*m^(-2)*A2^(-1) + m^(-2)*A2^(-1)*A3 + 2*m^(-2)*A3^(-1) + m^(-2) + m^(-2)*A2*A3^(-1) + m^(-2)*A1*A3^(-1) + m^(-2)*A1*A2*A3^(-2) + m^(-1)*A1^(-1)*A2^(-1)*A3^3 + m^(-1)*A1^(-1)*A3 + 3*m^(-1)*A1^(-1)*A3^2 + m^(-1)*A1^(-1)*A2*A3 + m^(-1)*A2^(-1)*A3 + 3*m^(-1)*A2^(-1)*A3^2 + 5*m^(-1) + 2*m^(-1)*A3 + m^(-1)*A2*A3^(-1) + m^(-1)*A1*A2^(-1)*A3 + m^(-1)*A1*A3^(-1) + 2*A1^(-1)*A3^3 + 2*A1^(-1)*A2*A3^2 + 2*A2^(-1)*A3^3 + 2*A3 + 5*A3^2 + 2*A2 + A2*A3 + 2*A1*A2^(-1)*A3^2 + 2*A1 + A1*A3 + A1*A2*A3^(-1) + m*A1^(-1)*A2*A3^3 + 3*m*A3^3 + m*A2*A3 + 2*m*A2*A3^2 + m*A1*A2^(-1)*A3^3 + m*A1*A3 + 2*m*A1*A3^2 + 2*m*A1*A2 + m^2*A2*A3^3 + m^2*A1*A3^3 + m^2*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-41
(-1, -1, 3)-11
(-1, 0, -3)-61
(-1, 1, -3)-51
(-1, 1, 3)11
(0, -1, -3)-61
(0, 1, 3)21
(1, -1, -3)-51
(1, -1, 3)11
(1, 0, 3)21
(1, 1, -3)-31
(1, 1, 1)21
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Record

FL/HFL Links

orderOption(int) 2929
namestring L11n267{0;0}
statusstring success
slugstring L11n267_0_0_fdeec5cf
result_filestring details/L11n267_0_0_fdeec5cf.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 114
wall_secondsOption(float) 0.002609
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) 14
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n267_0_0_fdeec5cf"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n267_0_0_fdeec5cf