details/L10n94_0_0_728c4fb8.json

Multivariable Alexander polynomial

ΔL
-A1*A2*A3^(-1/2) + A3^(3/2) - A3^(-3/2) + A1^(-1)*A2^(-1)*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-101-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(2, 2, -1) yes
(-2, -2, 1) yes
(0, 0, -3) yes
(0, 0, 3) yes
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HFL polytope

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

FL/HFL Links

orderOption(int) 2281
namestring L10n94{0;0}
statusstring success
slugstring L10n94_0_0_728c4fb8
result_filestring details/L10n94_0_0_728c4fb8.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 40
wall_secondsOption(float) 0.00189
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 32
vertex_countOption(int) 20
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L10n94_0_0_728c4fb8"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n94_0_0_728c4fb8