details/L11n403_0_1_1f8a1fda.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(-3/2)*A3^(1/2) + A1^(1/2)*A2^(-3/2)*A3^(-1/2) + A1^(1/2)*A2^(-5/2)*A3^(1/2) - A1^(1/2)*A2^(-5/2)*A3^(-1/2) + A1^(-1/2)*A2^(5/2)*A3^(1/2) - A1^(-1/2)*A2^(5/2)*A3^(-1/2) - A1^(-1/2)*A2^(3/2)*A3^(1/2) + A1^(-1/2)*A2^(3/2)*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, 5, 1) yes
(1, -5, 1) yes
(1, -5, -1) yes
(-1, 5, -1) yes
(-1, 3, -1) yes
(-1, -1, 1) no
(1, 1, -1) no
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HFL polytope

Poincaré polynomial
m^(-6)*A2^(-3)*A3^(-1) + 2*m^(-5)*A2^(-3) + 2*m^(-5)*A2^(-2)*A3^(-1) + m^(-5)*A1*A2^(-3)*A3^(-1) + m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A2^(-3)*A3 + 4*m^(-4)*A2^(-2) + 2*m^(-4)*A2^(-1)*A3^(-1) + 2*m^(-4)*A1*A2^(-3) + 2*m^(-4)*A1*A2^(-2)*A3^(-1) + m^(-3)*A1^(-1)*A2^(-1) + m^(-3)*A1^(-1)*A2^(-1)*A3 + 2*m^(-3)*A1^(-1) + m^(-3)*A1^(-1)*A2*A3^(-1) + 2*m^(-3)*A2^(-2)*A3 + m^(-3)*A2^(-1)*A3^(-1) + 4*m^(-3)*A2^(-1) + 2*m^(-3)*A3^(-1) + m^(-3)*A1*A2^(-3)*A3 + 4*m^(-3)*A1*A2^(-2) + 2*m^(-3)*A1*A2^(-1)*A3^(-1) + m^(-2)*A1^(-1)*A2^(-1)*A3 + 2*m^(-2)*A1^(-1) + 2*m^(-2)*A1^(-1)*A3 + 3*m^(-2)*A1^(-1)*A2 + 2*m^(-2)*A1^(-1)*A2^2*A3^(-1) + 2*m^(-2)*A2^(-1) + 2*m^(-2)*A2^(-1)*A3 + 2*m^(-2)*A3^(-1) + 5*m^(-2) + 2*m^(-2)*A2*A3^(-1) + 2*m^(-2)*A1*A2^(-2)*A3 + m^(-2)*A1*A2^(-1)*A3^(-1) + 3*m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1*A3^(-1) + 2*m^(-1)*A1^(-1)*A3 + m^(-1)*A1^(-1)*A2 + 2*m^(-1)*A1^(-1)*A2*A3 + 4*m^(-1)*A1^(-1)*A2^2 + m^(-1)*A1^(-1)*A2^3*A3^(-1) + m^(-1)*A2^(-1)*A3 + 5*m^(-1) + 2*m^(-1)*A3 + m^(-1)*A2*A3^(-1) + 4*m^(-1)*A2 + 2*m^(-1)*A2^2*A3^(-1) + m^(-1)*A1*A2^(-1) + m^(-1)*A1*A2^(-1)*A3 + 2*m^(-1)*A1*A3^(-1) + 2*m^(-1)*A1 + m^(-1)*A1*A2*A3^(-1) + A1^(-1)*A2*A3 + 2*A1^(-1)*A2^2*A3 + 2*A1^(-1)*A2^3 + 2*A3 + 2*A2 + 2*A2*A3 + 4*A2^2 + A2^3*A3^(-1) + 2*A1 + A1*A2*A3^(-1) + A1*A2 + m*A1^(-1)*A2^3*A3 + m*A2*A3 + 2*m*A2^2*A3 + 2*m*A2^3 + m*A1*A2 + m^2*A2^3*A3
VertexMaslovRank
(-1, -1, 0)-4, -32
(-1, -1, 1)-3, -22
(-1, 1, -1)-31
(-1, 3, -1)-11
(-1, 3, 1)11
(0, -3, -1)-61
(0, -3, 1)-41
(0, 3, -1)01
(0, 3, 1)21
(1, -3, -1)-51
(1, -3, 1)-31
(1, -1, 1)-11
(1, 1, -1)-1, 02
(1, 1, 0)0, 12
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Record

FL/HFL Links

orderOption(int) 3474
namestring L11n403{0;1}
statusstring success
slugstring L11n403_0_1_1f8a1fda
result_filestring details/L11n403_0_1_1f8a1fda.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 130
wall_secondsOption(float) 0.004047
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 47
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 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n403_0_1_1f8a1fda"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n403_0_1_1f8a1fda