details/L11a391_0_1_993c6156.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(1/2)*A3^(5/2) + 2*A1^(1/2)*A2^(1/2)*A3^(3/2) - 2*A1^(1/2)*A2^(1/2)*A3^(1/2) + 2*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^(5/2) - 3*A1^(1/2)*A2^(-1/2)*A3^(3/2) + 3*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 3*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + 3*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) - 3*A1^(-1/2)*A2^(1/2)*A3^(3/2) + 3*A1^(-1/2)*A2^(1/2)*A3^(1/2) - 3*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + 3*A1^(-1/2)*A2^(1/2)*A3^(-3/2) - A1^(-1/2)*A2^(1/2)*A3^(-5/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(3/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 2*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^(-5/2)

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) no
(-1, 1, 5) yes
(-1, 1, -5) yes
(1, -1, 5) yes
(1, -1, -5) yes
(-1, -1, -5) yes
(1, 1, 5) yes
(-1, -1, 3) no
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HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-1)*A3^(-3) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3^(-2) + 2*m^(-4)*A1^(-1)*A3^(-3) + 2*m^(-4)*A2^(-1)*A3^(-3) + 4*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + 7*m^(-3)*A1^(-1)*A3^(-2) + m^(-3)*A1^(-1)*A2*A3^(-3) + 7*m^(-3)*A2^(-1)*A3^(-2) + 3*m^(-3)*A3^(-3) + m^(-3)*A1*A2^(-1)*A3^(-3) + 4*m^(-2)*A1^(-1)*A2^(-1) + 10*m^(-2)*A1^(-1)*A3^(-1) + 4*m^(-2)*A1^(-1)*A2*A3^(-2) + 10*m^(-2)*A2^(-1)*A3^(-1) + 13*m^(-2)*A3^(-2) + m^(-2)*A2*A3^(-3) + 4*m^(-2)*A1*A2^(-1)*A3^(-2) + m^(-2)*A1*A3^(-3) + 4*m^(-1)*A1^(-1)*A2^(-1)*A3 + 10*m^(-1)*A1^(-1) + 6*m^(-1)*A1^(-1)*A2*A3^(-1) + 10*m^(-1)*A2^(-1) + 20*m^(-1)*A3^(-1) + 6*m^(-1)*A2*A3^(-2) + 6*m^(-1)*A1*A2^(-1)*A3^(-1) + 6*m^(-1)*A1*A3^(-2) + 2*A1^(-1)*A2^(-1)*A3^2 + 10*A1^(-1)*A3 + 6*A1^(-1)*A2 + 10*A2^(-1)*A3 + 20 + 10*A2*A3^(-1) + 6*A1*A2^(-1) + 10*A1*A3^(-1) + 2*A1*A2*A3^(-2) + 6*m*A1^(-1)*A3^2 + 6*m*A1^(-1)*A2*A3 + 6*m*A2^(-1)*A3^2 + 20*m*A3 + 10*m*A2 + 6*m*A1*A2^(-1)*A3 + 10*m*A1 + 4*m*A1*A2*A3^(-1) + m^2*A1^(-1)*A3^3 + 4*m^2*A1^(-1)*A2*A3^2 + m^2*A2^(-1)*A3^3 + 13*m^2*A3^2 + 10*m^2*A2*A3 + 4*m^2*A1*A2^(-1)*A3^2 + 10*m^2*A1*A3 + 4*m^2*A1*A2 + m^3*A1^(-1)*A2*A3^3 + 3*m^3*A3^3 + 7*m^3*A2*A3^2 + m^3*A1*A2^(-1)*A3^3 + 7*m^3*A1*A3^2 + 4*m^3*A1*A2*A3 + 2*m^4*A2*A3^3 + 2*m^4*A1*A3^3 + 3*m^4*A1*A2*A3^2 + m^5*A1*A2*A3^3
VertexMaslovRank
(-1, -1, -3)-51
(-1, -1, 2)02
(-1, 0, 3)21
(-1, 1, -3)-31
(-1, 1, 3)31
(0, -1, 3)21
(0, 1, -3)-21
(1, -1, -3)-31
(1, -1, 3)31
(1, 0, -3)-21
(1, 1, -2)02
(1, 1, 3)51
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Record

FL/HFL Links

orderOption(int) 2322
namestring L11a391{0;1}
statusstring success
slugstring L11a391_0_1_993c6156
result_filestring details/L11a391_0_1_993c6156.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 368
wall_secondsOption(float) 0.003756
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 61
vertex_countOption(int) 12
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 22
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a391_0_1_993c6156"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a391_0_1_993c6156