details/L10a123_0_0_4707ce8d.json

Multivariable Alexander polynomial

ΔL
-2*A1^(1/2)*A2^(1/2)*A3^(1/2) + 4*A1^(1/2)*A2^(1/2)*A3^(-1/2) - A1^(1/2)*A2^(1/2)*A3^(-3/2) - A1^(1/2)*A2^(-1/2)*A3^(3/2) + 5*A1^(1/2)*A2^(-1/2)*A3^(1/2) - 5*A1^(1/2)*A2^(-1/2)*A3^(-1/2) + A1^(1/2)*A2^(-1/2)*A3^(-3/2) - A1^(-1/2)*A2^(1/2)*A3^(3/2) + 5*A1^(-1/2)*A2^(1/2)*A3^(1/2) - 5*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + A1^(-1/2)*A2^(1/2)*A3^(-3/2) + A1^(-1/2)*A2^(-1/2)*A3^(3/2) - 4*A1^(-1/2)*A2^(-1/2)*A3^(1/2) + 2*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, 1, -3) yes
(-1, -1, -1) no
(-1, 1, -3) yes
(-1, 1, 3) yes
(1, -1, -3) yes
(1, -1, 3) yes
(-1, -1, 3) yes
(1, 1, 1) no
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HFL polytope

Poincaré polynomial
2*m^(-3)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-3)*A1^(-1)*A3^(-2) + m^(-3)*A2^(-1)*A3^(-2) + 6*m^(-2)*A1^(-1)*A2^(-1) + 8*m^(-2)*A1^(-1)*A3^(-1) + m^(-2)*A1^(-1)*A2*A3^(-2) + 8*m^(-2)*A2^(-1)*A3^(-1) + 3*m^(-2)*A3^(-2) + m^(-2)*A1*A2^(-1)*A3^(-2) + 5*m^(-1)*A1^(-1)*A2^(-1)*A3 + 16*m^(-1)*A1^(-1) + 6*m^(-1)*A1^(-1)*A2*A3^(-1) + 16*m^(-1)*A2^(-1) + 19*m^(-1)*A3^(-1) + 2*m^(-1)*A2*A3^(-2) + 6*m^(-1)*A1*A2^(-1)*A3^(-1) + 2*m^(-1)*A1*A3^(-2) + A1^(-1)*A2^(-1)*A3^2 + 11*A1^(-1)*A3 + 10*A1^(-1)*A2 + 11*A2^(-1)*A3 + 32 + 11*A2*A3^(-1) + 10*A1*A2^(-1) + 11*A1*A3^(-1) + A1*A2*A3^(-2) + 2*m*A1^(-1)*A3^2 + 6*m*A1^(-1)*A2*A3 + 2*m*A2^(-1)*A3^2 + 19*m*A3 + 16*m*A2 + 6*m*A1*A2^(-1)*A3 + 16*m*A1 + 5*m*A1*A2*A3^(-1) + m^2*A1^(-1)*A2*A3^2 + 3*m^2*A3^2 + 8*m^2*A2*A3 + m^2*A1*A2^(-1)*A3^2 + 8*m^2*A1*A3 + 6*m^2*A1*A2 + m^3*A2*A3^2 + m^3*A1*A3^2 + 2*m^3*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-32
(-1, -1, 2)01
(-1, 0, -2)-31
(-1, 1, -2)-21
(-1, 1, 2)21
(0, -1, -2)-31
(0, 1, 2)31
(1, -1, -2)-21
(1, -1, 2)21
(1, 0, 2)31
(1, 1, -2)01
(1, 1, 1)32
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Record

FL/HFL Links

orderOption(int) 1997
namestring L10a123{0;0}
statusstring success
slugstring L10a123_0_0_4707ce8d
result_filestring details/L10a123_0_0_4707ce8d.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 304
wall_secondsOption(float) 0.004163
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 43
vertex_countOption(int) 12
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a123_0_0_4707ce8d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a123_0_0_4707ce8d