details/L10n75_0_1_704dce3f.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^(1/2) - 2*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + A1^(1/2)*A2^(-1/2)*A3^(-3/2) + A1^(1/2)*A2^(-3/2)*A3^(-1/2) - A1^(-1/2)*A2^(3/2)*A3^(1/2) - A1^(-1/2)*A2^(1/2)*A3^(3/2) + 2*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^(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, -1) yes
(-1, -1, -1) yes
(1, -1, 1) yes
(-1, 3, 1) yes
(-1, -1, 1) yes
(-1, 1, 3) yes
(1, -1, -3) yes
(1, 1, -1) yes
(1, 1, 1) yes
(1, -3, -1) yes
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HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-5)*A2^(-2)*A3^(-1) + m^(-5)*A2^(-1)*A3^(-2) + 2*m^(-4)*A1^(-1)*A2^(-1) + 2*m^(-4)*A1^(-1)*A3^(-1) + m^(-4)*A2^(-2) + 5*m^(-4)*A2^(-1)*A3^(-1) + m^(-4)*A3^(-2) + m^(-4)*A1*A2^(-2)*A3^(-1) + m^(-4)*A1*A2^(-1)*A3^(-2) + m^(-3)*A1^(-1)*A2^(-1)*A3 + 5*m^(-3)*A1^(-1) + m^(-3)*A1^(-1)*A2*A3^(-1) + 6*m^(-3)*A2^(-1) + 6*m^(-3)*A3^(-1) + m^(-3)*A1*A2^(-2) + 4*m^(-3)*A1*A2^(-1)*A3^(-1) + m^(-3)*A1*A3^(-2) + 4*m^(-2)*A1^(-1)*A3 + 4*m^(-2)*A1^(-1)*A2 + 2*m^(-2)*A2^(-1)*A3 + 10*m^(-2) + 2*m^(-2)*A2*A3^(-1) + 4*m^(-2)*A1*A2^(-1) + 4*m^(-2)*A1*A3^(-1) + m^(-1)*A1^(-1)*A3^2 + 4*m^(-1)*A1^(-1)*A2*A3 + m^(-1)*A1^(-1)*A2^2 + 6*m^(-1)*A3 + 6*m^(-1)*A2 + m^(-1)*A1*A2^(-1)*A3 + 5*m^(-1)*A1 + m^(-1)*A1*A2*A3^(-1) + A1^(-1)*A2*A3^2 + A1^(-1)*A2^2*A3 + A3^2 + 5*A2*A3 + A2^2 + 2*A1*A3 + 2*A1*A2 + m*A2*A3^2 + m*A2^2*A3 + m*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-51
(-1, -1, 1)-31
(-1, 0, 2)-11
(-1, 1, -1)-31
(-1, 1, 2)01
(-1, 2, 0)-11
(-1, 2, 1)01
(0, -2, -1)-51
(0, -2, 0)-41
(0, -1, -2)-51
(0, 0, -2)-41
(0, 0, 2)01
(0, 1, 2)11
(0, 2, 0)01
(0, 2, 1)11
(1, -2, -1)-41
(1, -2, 0)-31
(1, -1, -2)-41
(1, -1, 1)-11
(1, 0, -2)-31
(1, 1, -1)-11
(1, 1, 1)11
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Record

FL/HFL Links

orderOption(int) 2206
namestring L10n75{0;1}
statusstring success
slugstring L10n75_0_1_704dce3f
result_filestring details/L10n75_0_1_704dce3f.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 112
wall_secondsOption(float) 0.00185
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 43
vertex_countOption(int) 22
fibered_vertex_countOption(int) 10
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 10
alexander_relationstring not_computed
fk_countint 6
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10n75_0_1_704dce3f"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n75_0_1_704dce3f