details/L11a418_1_0_902b5d2b.json

Multivariable Alexander polynomial

ΔL
2*A1^(1/2)*A2*A3 - 3*A1^(1/2)*A2 - 2*A1^(1/2)*A3 + 5*A1^(1/2) - 3*A1^(1/2)*A3^(-1) - 2*A1^(1/2)*A2^(-1) + 2*A1^(1/2)*A2^(-1)*A3^(-1) - 2*A1^(-1/2)*A2*A3 + 2*A1^(-1/2)*A2 + 3*A1^(-1/2)*A3 - 5*A1^(-1/2) + 2*A1^(-1/2)*A3^(-1) + 3*A1^(-1/2)*A2^(-1) - 2*A1^(-1/2)*A2^(-1)*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) no
(1, 0, 2) no
(1, 0, -2) no
(-1, 0, -2) no
(1, 2, 0) no
(-1, -2, -2) no
(1, -2, -2) no
(1, 2, 2) no
(-1, 2, 0) no
(1, -2, 0) no
(-1, -2, 0) no
(-1, 0, 2) no
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HFL polytope

Poincaré polynomial
2*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 5*m^(-3)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 4*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 4*m^(-3)*A2^(-3/2)*A3^(-3/2) + 3*m^(-2)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 12*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 2*m^(-2)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 9*m^(-2)*A2^(-3/2)*A3^(-1/2) + 9*m^(-2)*A2^(-1/2)*A3^(-3/2) + 2*m^(-2)*A1*A2^(-3/2)*A3^(-3/2) + 11*m^(-1)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 9*m^(-1)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 5*m^(-1)*A2^(-3/2)*A3^(1/2) + 24*m^(-1)*A2^(-1/2)*A3^(-1/2) + 5*m^(-1)*A2^(1/2)*A3^(-3/2) + 4*m^(-1)*A1*A2^(-3/2)*A3^(-1/2) + 5*m^(-1)*A1*A2^(-1/2)*A3^(-3/2) + 3*A1^(-1)*A2^(-1/2)*A3^(3/2) + 12*A1^(-1)*A2^(1/2)*A3^(1/2) + 2*A1^(-1)*A2^(3/2)*A3^(-1/2) + 20*A2^(-1/2)*A3^(1/2) + 20*A2^(1/2)*A3^(-1/2) + 2*A1*A2^(-3/2)*A3^(1/2) + 12*A1*A2^(-1/2)*A3^(-1/2) + 3*A1*A2^(1/2)*A3^(-3/2) + 5*m*A1^(-1)*A2^(1/2)*A3^(3/2) + 4*m*A1^(-1)*A2^(3/2)*A3^(1/2) + 5*m*A2^(-1/2)*A3^(3/2) + 24*m*A2^(1/2)*A3^(1/2) + 5*m*A2^(3/2)*A3^(-1/2) + 9*m*A1*A2^(-1/2)*A3^(1/2) + 11*m*A1*A2^(1/2)*A3^(-1/2) + 2*m^2*A1^(-1)*A2^(3/2)*A3^(3/2) + 9*m^2*A2^(1/2)*A3^(3/2) + 9*m^2*A2^(3/2)*A3^(1/2) + 2*m^2*A1*A2^(-1/2)*A3^(3/2) + 12*m^2*A1*A2^(1/2)*A3^(1/2) + 3*m^2*A1*A2^(3/2)*A3^(-1/2) + 4*m^3*A2^(3/2)*A3^(3/2) + 4*m^3*A1*A2^(1/2)*A3^(3/2) + 5*m^3*A1*A2^(3/2)*A3^(1/2) + 2*m^4*A1*A2^(3/2)*A3^(3/2)
VertexMaslovRank
(-1, -3/2, -3/2)-42
(-1, -3/2, 1/2)-23
(-1, -1/2, 3/2)03
(-1, 1/2, -3/2)-22
(-1, 3/2, -1/2)02
(-1, 3/2, 3/2)22
(1, -3/2, -3/2)-22
(1, -3/2, 1/2)02
(1, -1/2, 3/2)22
(1, 1/2, -3/2)03
(1, 3/2, -1/2)23
(1, 3/2, 3/2)42
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Record

FL/HFL Links

orderOption(int) 2431
namestring L11a418{1;0}
statusstring success
slugstring L11a418_1_0_902b5d2b
result_filestring details/L11a418_1_0_902b5d2b.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 304
wall_secondsOption(float) 0.002838
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 42
vertex_countOption(int) 12
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a418_1_0_902b5d2b"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a418_1_0_902b5d2b