details/L11a397_1_1_12f50bb6.json

Multivariable Alexander polynomial

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

Poincaré polynomial
4*m^(-6)*A1^(-1)*A2^(-1)*A3^(-1) + 7*m^(-5)*A1^(-1)*A2^(-1) + 7*m^(-5)*A1^(-1)*A3^(-1) + 7*m^(-5)*A2^(-1)*A3^(-1) + 3*m^(-4)*A1^(-1)*A2^(-1)*A3 + 13*m^(-4)*A1^(-1) + 3*m^(-4)*A1^(-1)*A2*A3^(-1) + 13*m^(-4)*A2^(-1) + 13*m^(-4)*A3^(-1) + 3*m^(-4)*A1*A2^(-1)*A3^(-1) + 6*m^(-3)*A1^(-1)*A3 + 6*m^(-3)*A1^(-1)*A2 + 6*m^(-3)*A2^(-1)*A3 + 26*m^(-3) + 6*m^(-3)*A2*A3^(-1) + 6*m^(-3)*A1*A2^(-1) + 6*m^(-3)*A1*A3^(-1) + 3*m^(-2)*A1^(-1)*A2*A3 + 13*m^(-2)*A3 + 13*m^(-2)*A2 + 3*m^(-2)*A1*A2^(-1)*A3 + 13*m^(-2)*A1 + 3*m^(-2)*A1*A2*A3^(-1) + 7*m^(-1)*A2*A3 + 7*m^(-1)*A1*A3 + 7*m^(-1)*A1*A2 + 4*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-64
(-1, -1, 1)-43
(-1, 1, -1)-43
(-1, 1, 1)-23
(1, -1, -1)-43
(1, -1, 1)-23
(1, 1, -1)-23
(1, 1, 1)04
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Record

FL/HFL Links

orderOption(int) 2348
namestring L11a397{1;1}
statusstring success
slugstring L11a397_1_1_12f50bb6
result_filestring details/L11a397_1_1_12f50bb6.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 208
wall_secondsOption(float) 0.002371
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 27
vertex_countOption(int) 8
fibered_vertex_countOption(int) 0
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": "L11a397_1_1_12f50bb6"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a397_1_1_12f50bb6