details/L10a124_1_1_ee8ffb27.json

Multivariable Alexander polynomial

ΔL
2*A1^(1/2)*A2^(1/2)*A3^(3/2) - 4*A1^(1/2)*A2^(1/2)*A3^(1/2) + 4*A1^(1/2)*A2^(1/2)*A3^(-1/2) - A1^(1/2)*A2^(1/2)*A3^(-3/2) - 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) + A1^(1/2)*A2^(-1/2)*A3^(-3/2) - 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) + A1^(-1/2)*A2^(1/2)*A3^(-3/2) + A1^(-1/2)*A2^(-1/2)*A3^(3/2) - 4*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 4*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(-3/2)

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

Poincaré polynomial
2*m^(-6)*A1^(-1)*A2^(-1)*A3^(-2) + 6*m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 3*m^(-5)*A1^(-1)*A3^(-2) + 3*m^(-5)*A2^(-1)*A3^(-2) + 8*m^(-4)*A1^(-1)*A2^(-1) + 10*m^(-4)*A1^(-1)*A3^(-1) + m^(-4)*A1^(-1)*A2*A3^(-2) + 10*m^(-4)*A2^(-1)*A3^(-1) + 5*m^(-4)*A3^(-2) + m^(-4)*A1*A2^(-1)*A3^(-2) + 5*m^(-3)*A1^(-1)*A2^(-1)*A3 + 14*m^(-3)*A1^(-1) + 4*m^(-3)*A1^(-1)*A2*A3^(-1) + 14*m^(-3)*A2^(-1) + 19*m^(-3)*A3^(-1) + 2*m^(-3)*A2*A3^(-2) + 4*m^(-3)*A1*A2^(-1)*A3^(-1) + 2*m^(-3)*A1*A3^(-2) + m^(-2)*A1^(-1)*A2^(-1)*A3^2 + 9*m^(-2)*A1^(-1)*A3 + 6*m^(-2)*A1^(-1)*A2 + 9*m^(-2)*A2^(-1)*A3 + 28*m^(-2) + 9*m^(-2)*A2*A3^(-1) + 6*m^(-2)*A1*A2^(-1) + 9*m^(-2)*A1*A3^(-1) + m^(-2)*A1*A2*A3^(-2) + 2*m^(-1)*A1^(-1)*A3^2 + 4*m^(-1)*A1^(-1)*A2*A3 + 2*m^(-1)*A2^(-1)*A3^2 + 19*m^(-1)*A3 + 14*m^(-1)*A2 + 4*m^(-1)*A1*A2^(-1)*A3 + 14*m^(-1)*A1 + 5*m^(-1)*A1*A2*A3^(-1) + A1^(-1)*A2*A3^2 + 5*A3^2 + 10*A2*A3 + A1*A2^(-1)*A3^2 + 10*A1*A3 + 8*A1*A2 + 3*m*A2*A3^2 + 3*m*A1*A3^2 + 6*m*A1*A2*A3 + 2*m^2*A1*A2*A3^2
VertexMaslovRank
(-1, -1, -2)-62
(-1, -1, 2)-21
(-1, 1, -2)-41
(-1, 1, 2)01
(1, -1, -2)-41
(1, -1, 2)01
(1, 1, -2)-21
(1, 1, 2)22
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Record

FL/HFL Links

orderOption(int) 2004
namestring L10a124{1;1}
statusstring success
slugstring L10a124_1_1_ee8ffb27
result_filestring details/L10a124_1_1_ee8ffb27.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 304
wall_secondsOption(float) 0.004035
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 45
vertex_countOption(int) 8
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a124_1_1_ee8ffb27"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a124_1_1_ee8ffb27