details/L11n411_1_0_ccff364b.json

Multivariable Alexander polynomial

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

Newton Projection of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -5, -1) yes
(1, -3, 1) no
(-1, 3, -1) no
(1, 5, 1) yes
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HFL polytope

Poincaré polynomial
m^(-8)*A1^(-1)*A2^(-3)*A3^(-1) + m^(-7)*A1^(-1)*A2^(-3) + 3*m^(-7)*A1^(-1)*A2^(-2)*A3^(-1) + m^(-7)*A2^(-3)*A3^(-1) + 3*m^(-6)*A1^(-1)*A2^(-2) + 4*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-6)*A2^(-3) + 3*m^(-6)*A2^(-2)*A3^(-1) + m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 4*m^(-5)*A1^(-1)*A2^(-1) + 2*m^(-5)*A1^(-1)*A3^(-1) + 3*m^(-5)*A2^(-2) + 4*m^(-5)*A2^(-1)*A3^(-1) + m^(-4)*A1^(-1)*A2^(-1) + 3*m^(-4)*A1^(-1)*A3^(-1) + 2*m^(-4)*A1^(-1) + 2*m^(-4)*A2^(-2) + m^(-4)*A2^(-1)*A3^(-1) + 5*m^(-4)*A2^(-1) + 2*m^(-4)*A3^(-1) + 3*m^(-3)*A1^(-1) + 4*m^(-3)*A1^(-1)*A2*A3^(-1) + 2*m^(-3)*A2^(-2)*A3 + 6*m^(-3)*A2^(-1) + 3*m^(-3)*A3^(-1) + 5*m^(-3) + 2*m^(-3)*A1*A2^(-2) + 4*m^(-2)*A1^(-1)*A2 + 2*m^(-2)*A1^(-1)*A2^2*A3^(-1) + 4*m^(-2)*A2^(-1)*A3 + 7*m^(-2) + 2*m^(-2)*A3 + 4*m^(-2)*A2*A3^(-1) + 5*m^(-2)*A2 + 2*m^(-2)*A1*A2^(-2)*A3 + 4*m^(-2)*A1*A2^(-1) + 2*m^(-2)*A1 + 2*m^(-1)*A1^(-1)*A2^2 + 3*m^(-1)*A3 + 6*m^(-1)*A2 + 4*m^(-1)*A2*A3 + 2*m^(-1)*A2^2*A3^(-1) + 3*m^(-1)*A2^2 + 4*m^(-1)*A1*A2^(-1)*A3 + 3*m^(-1)*A1 + 2*m^(-1)*A1*A3 + 4*m^(-1)*A1*A2 + A2*A3 + 2*A2^2 + 3*A2^2*A3 + A2^3 + 3*A1*A3 + A1*A2 + 4*A1*A2*A3 + 3*A1*A2^2 + m*A2^3*A3 + m*A1*A2*A3 + 3*m*A1*A2^2*A3 + m*A1*A2^3 + m^2*A1*A2^3*A3
VertexMaslovRank
(-1, -3, -1)-81
(-1, -3, 0)-71
(-1, 2, -1)-22
(-1, 2, 0)-12
(0, -3, -1)-71
(0, -3, 0)-61
(0, -2, 1)-32
(0, 2, -1)-12
(0, 3, 0)01
(0, 3, 1)11
(1, -2, 0)-32
(1, -2, 1)-22
(1, 3, 0)11
(1, 3, 1)21
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Record

FL/HFL Links

orderOption(int) 3507
namestring L11n411{1;0}
statusstring success
slugstring L11n411_1_0_ccff364b
result_filestring details/L11n411_1_0_ccff364b.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 166
wall_secondsOption(float) 0.005631
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 43
vertex_countOption(int) 14
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n411_1_0_ccff364b"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n411_1_0_ccff364b