details/L10a126_0_0_6baa4e16.json

Multivariable Alexander polynomial

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

Poincaré polynomial
2*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + 5*m^(-2)*A1^(-1)*A2^(-1) + 5*m^(-2)*A1^(-1)*A3^(-1) + 5*m^(-2)*A2^(-1)*A3^(-1) + 3*m^(-1)*A1^(-1)*A2^(-1)*A3 + 11*m^(-1)*A1^(-1) + 3*m^(-1)*A1^(-1)*A2*A3^(-1) + 11*m^(-1)*A2^(-1) + 11*m^(-1)*A3^(-1) + 3*m^(-1)*A1*A2^(-1)*A3^(-1) + 6*A1^(-1)*A3 + 6*A1^(-1)*A2 + 6*A2^(-1)*A3 + 22 + 6*A2*A3^(-1) + 6*A1*A2^(-1) + 6*A1*A3^(-1) + 3*m*A1^(-1)*A2*A3 + 11*m*A3 + 11*m*A2 + 3*m*A1*A2^(-1)*A3 + 11*m*A1 + 3*m*A1*A2*A3^(-1) + 5*m^2*A2*A3 + 5*m^2*A1*A3 + 5*m^2*A1*A2 + 2*m^3*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-32
(-1, -1, 1)-13
(-1, 1, -1)-13
(-1, 1, 1)13
(1, -1, -1)-13
(1, -1, 1)13
(1, 1, -1)13
(1, 1, 1)32
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Record

FL/HFL Links

orderOption(int) 2009
namestring L10a126{0;0}
statusstring success
slugstring L10a126_0_0_6baa4e16
result_filestring details/L10a126_0_0_6baa4e16.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 176
wall_secondsOption(float) 0.002151
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 27
vertex_countOption(int) 8
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L10a126_0_0_6baa4e16"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a126_0_0_6baa4e16