details/L10a139_0_1_932dbdb7.json

Multivariable Alexander polynomial

ΔL
3*A1^(1/2)*A2^(1/2)*A3^(1/2) - 2*A1^(1/2)*A2^(1/2)*A3^(-1/2) - 4*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 4*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + A1^(1/2)*A2^(-3/2)*A3^(1/2) - 2*A1^(1/2)*A2^(-3/2)*A3^(-1/2) + 2*A1^(-1/2)*A2^(3/2)*A3^(1/2) - A1^(-1/2)*A2^(3/2)*A3^(-1/2) - 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^(1/2) - 3*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, -3, 1) yes
(-1, 3, -1) yes
(-1, -1, -1) no
(-1, 3, 1) no
(-1, -1, 1) no
(1, 1, -1) no
(1, 1, 1) no
(1, -3, -1) no
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HFL polytope

Poincaré polynomial
3*m^(-2)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-2)*A2^(-2)*A3^(-1) + 5*m^(-1)*A1^(-1)*A2^(-1) + 7*m^(-1)*A1^(-1)*A3^(-1) + 3*m^(-1)*A2^(-2) + 9*m^(-1)*A2^(-1)*A3^(-1) + 2*m^(-1)*A1*A2^(-2)*A3^(-1) + 2*A1^(-1)*A2^(-1)*A3 + 13*A1^(-1) + 5*A1^(-1)*A2*A3^(-1) + A2^(-2)*A3 + 16*A2^(-1) + 13*A3^(-1) + 3*A1*A2^(-2) + 6*A1*A2^(-1)*A3^(-1) + 6*m*A1^(-1)*A3 + 11*m*A1^(-1)*A2 + m*A1^(-1)*A2^2*A3^(-1) + 7*m*A2^(-1)*A3 + 26*m + 7*m*A2*A3^(-1) + m*A1*A2^(-2)*A3 + 11*m*A1*A2^(-1) + 6*m*A1*A3^(-1) + 6*m^2*A1^(-1)*A2*A3 + 3*m^2*A1^(-1)*A2^2 + 13*m^2*A3 + 16*m^2*A2 + m^2*A2^2*A3^(-1) + 5*m^2*A1*A2^(-1)*A3 + 13*m^2*A1 + 2*m^2*A1*A2*A3^(-1) + 2*m^3*A1^(-1)*A2^2*A3 + 9*m^3*A2*A3 + 3*m^3*A2^2 + 7*m^3*A1*A3 + 5*m^3*A1*A2 + 2*m^4*A2^2*A3 + 3*m^4*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-23
(-1, -1, 1)02
(-1, 2, -1)11
(-1, 2, 1)32
(0, -2, -1)-22
(0, -2, 1)01
(0, 2, -1)21
(0, 2, 1)42
(1, -2, -1)-12
(1, -2, 1)11
(1, 1, -1)22
(1, 1, 1)43
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Record

FL/HFL Links

orderOption(int) 2062
namestring L10a139{0;1}
statusstring success
slugstring L10a139_0_1_932dbdb7
result_filestring details/L10a139_0_1_932dbdb7.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 256
wall_secondsOption(float) 0.002895
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 39
vertex_countOption(int) 12
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a139_0_1_932dbdb7"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a139_0_1_932dbdb7