details/L9n24_0_1_f91cee2f.json

Multivariable Alexander polynomial

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

Poincaré polynomial
m^(-3)*A2^(-3/2)*A3^(-3/2) + 2*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 2*m^(-2)*A2^(-3/2)*A3^(-1/2) + 2*m^(-2)*A2^(-1/2)*A3^(-3/2) + m^(-2)*A1*A2^(-3/2)*A3^(-3/2) + 3*m^(-1)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 3*m^(-1)*A1^(-1)*A2^(1/2)*A3^(-1/2) + m^(-1)*A2^(-3/2)*A3^(1/2) + 7*m^(-1)*A2^(-1/2)*A3^(-1/2) + m^(-1)*A2^(1/2)*A3^(-3/2) + 2*m^(-1)*A1*A2^(-3/2)*A3^(-1/2) + 2*m^(-1)*A1*A2^(-1/2)*A3^(-3/2) + A1^(-1)*A2^(-1/2)*A3^(3/2) + 5*A1^(-1)*A2^(1/2)*A3^(1/2) + A1^(-1)*A2^(3/2)*A3^(-1/2) + 6*A2^(-1/2)*A3^(1/2) + 6*A2^(1/2)*A3^(-1/2) + A1*A2^(-3/2)*A3^(1/2) + 5*A1*A2^(-1/2)*A3^(-1/2) + A1*A2^(1/2)*A3^(-3/2) + 2*m*A1^(-1)*A2^(1/2)*A3^(3/2) + 2*m*A1^(-1)*A2^(3/2)*A3^(1/2) + m*A2^(-1/2)*A3^(3/2) + 7*m*A2^(1/2)*A3^(1/2) + m*A2^(3/2)*A3^(-1/2) + 3*m*A1*A2^(-1/2)*A3^(1/2) + 3*m*A1*A2^(1/2)*A3^(-1/2) + m^2*A1^(-1)*A2^(3/2)*A3^(3/2) + 2*m^2*A2^(1/2)*A3^(3/2) + 2*m^2*A2^(3/2)*A3^(1/2) + 2*m^2*A1*A2^(1/2)*A3^(1/2) + m^3*A2^(3/2)*A3^(3/2)
VertexMaslovRank
(-1, -1/2, -1/2)-22
(-1, -1/2, 3/2)01
(-1, 3/2, -1/2)01
(-1, 3/2, 3/2)21
(0, -3/2, -3/2)-31
(0, -3/2, 1/2)-11
(0, -1/2, 3/2)11
(0, 1/2, -3/2)-11
(0, 3/2, -1/2)11
(0, 3/2, 3/2)31
(1, -3/2, -3/2)-21
(1, -3/2, 1/2)01
(1, 1/2, -3/2)01
(1, 1/2, 1/2)22
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Record

FL/HFL Links

orderOption(int) 1950
namestring L9n24{0;1}
statusstring success
slugstring L9n24_0_1_f91cee2f
result_filestring details/L9n24_0_1_f91cee2f.json
complexity_scoreOption(int) 243
strandsOption(int) null
crossingsOption(int) 9
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 80
wall_secondsOption(float) 0.001676
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 32
vertex_countOption(int) 14
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L9n24_0_1_f91cee2f"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L9n24_0_1_f91cee2f