details/L11a484_0_1_e8b7f6dc.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(5/2)*A3^(1/2) + A1^(1/2)*A2^(5/2)*A3^(-1/2) + 3*A1^(1/2)*A2^(3/2)*A3^(1/2) - 3*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) + 4*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 4*A1^(1/2)*A2^(-1/2)*A3^(-1/2) - 3*A1^(1/2)*A2^(-3/2)*A3^(1/2) + 3*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) - 3*A1^(-1/2)*A2^(3/2)*A3^(1/2) + 3*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) - 4*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 4*A1^(-1/2)*A2^(-1/2)*A3^(-1/2) + 3*A1^(-1/2)*A2^(-3/2)*A3^(1/2) - 3*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)

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, 5, 1) yes
(-1, 5, 1) yes
(1, -5, 1) yes
(-1, -5, 1) yes
(1, -5, -1) yes
(-1, 5, -1) yes
(-1, -5, -1) yes
(1, 5, -1) yes
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HFL polytope

Poincaré polynomial
m^(-7)*A1^(-1)*A2^(-3)*A3^(-1) + 2*m^(-6)*A1^(-1)*A2^(-3) + 4*m^(-6)*A1^(-1)*A2^(-2)*A3^(-1) + 2*m^(-6)*A2^(-3)*A3^(-1) + m^(-5)*A1^(-1)*A2^(-3)*A3 + 8*m^(-5)*A1^(-1)*A2^(-2) + 7*m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-5)*A2^(-3) + 8*m^(-5)*A2^(-2)*A3^(-1) + m^(-5)*A1*A2^(-3)*A3^(-1) + 4*m^(-4)*A1^(-1)*A2^(-2)*A3 + 14*m^(-4)*A1^(-1)*A2^(-1) + 8*m^(-4)*A1^(-1)*A3^(-1) + 2*m^(-4)*A2^(-3)*A3 + 16*m^(-4)*A2^(-2) + 14*m^(-4)*A2^(-1)*A3^(-1) + 2*m^(-4)*A1*A2^(-3) + 4*m^(-4)*A1*A2^(-2)*A3^(-1) + 7*m^(-3)*A1^(-1)*A2^(-1)*A3 + 16*m^(-3)*A1^(-1) + 7*m^(-3)*A1^(-1)*A2*A3^(-1) + 8*m^(-3)*A2^(-2)*A3 + 28*m^(-3)*A2^(-1) + 16*m^(-3)*A3^(-1) + m^(-3)*A1*A2^(-3)*A3 + 8*m^(-3)*A1*A2^(-2) + 7*m^(-3)*A1*A2^(-1)*A3^(-1) + 8*m^(-2)*A1^(-1)*A3 + 14*m^(-2)*A1^(-1)*A2 + 4*m^(-2)*A1^(-1)*A2^2*A3^(-1) + 14*m^(-2)*A2^(-1)*A3 + 32*m^(-2) + 14*m^(-2)*A2*A3^(-1) + 4*m^(-2)*A1*A2^(-2)*A3 + 14*m^(-2)*A1*A2^(-1) + 8*m^(-2)*A1*A3^(-1) + 7*m^(-1)*A1^(-1)*A2*A3 + 8*m^(-1)*A1^(-1)*A2^2 + m^(-1)*A1^(-1)*A2^3*A3^(-1) + 16*m^(-1)*A3 + 28*m^(-1)*A2 + 8*m^(-1)*A2^2*A3^(-1) + 7*m^(-1)*A1*A2^(-1)*A3 + 16*m^(-1)*A1 + 7*m^(-1)*A1*A2*A3^(-1) + 4*A1^(-1)*A2^2*A3 + 2*A1^(-1)*A2^3 + 14*A2*A3 + 16*A2^2 + 2*A2^3*A3^(-1) + 8*A1*A3 + 14*A1*A2 + 4*A1*A2^2*A3^(-1) + m*A1^(-1)*A2^3*A3 + 8*m*A2^2*A3 + 4*m*A2^3 + 7*m*A1*A2*A3 + 8*m*A1*A2^2 + m*A1*A2^3*A3^(-1) + 2*m^2*A2^3*A3 + 4*m^2*A1*A2^2*A3 + 2*m^2*A1*A2^3 + m^3*A1*A2^3*A3
VertexMaslovRank
(-1, -3, -1)-71
(-1, -3, 1)-51
(-1, 3, -1)-11
(-1, 3, 1)11
(1, -3, -1)-51
(1, -3, 1)-31
(1, 3, -1)11
(1, 3, 1)31
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Record

FL/HFL Links

orderOption(int) 2694
namestring L11a484{0;1}
statusstring success
slugstring L11a484_0_1_e8b7f6dc
result_filestring details/L11a484_0_1_e8b7f6dc.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 512
wall_secondsOption(float) 0.005844
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 63
vertex_countOption(int) 8
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 24
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a484_0_1_e8b7f6dc"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a484_0_1_e8b7f6dc