details/L11n271_1_1_71303e58.json

Multivariable Alexander polynomial

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

Poincaré polynomial
2*m^(-5)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-5)*A1^(-1)*A3^(-2) + 4*m^(-4)*A1^(-1)*A2^(-1) + 9*m^(-4)*A1^(-1)*A3^(-1) + 2*m^(-4)*A1^(-1)*A2*A3^(-2) + 6*m^(-4)*A2^(-1)*A3^(-1) + 2*m^(-4)*A3^(-2) + 2*m^(-3)*A1^(-1)*A2^(-1)*A3 + 13*m^(-3)*A1^(-1) + 7*m^(-3)*A1^(-1)*A2*A3^(-1) + 13*m^(-3)*A2^(-1) + 15*m^(-3)*A3^(-1) + 2*m^(-3)*A2*A3^(-2) + 4*m^(-3)*A1*A2^(-1)*A3^(-1) + 6*m^(-2)*A1^(-1)*A3 + 9*m^(-2)*A1^(-1)*A2 + 9*m^(-2)*A2^(-1)*A3 + 26*m^(-2) + 9*m^(-2)*A2*A3^(-1) + 9*m^(-2)*A1*A2^(-1) + 6*m^(-2)*A1*A3^(-1) + 4*m^(-1)*A1^(-1)*A2*A3 + 2*m^(-1)*A2^(-1)*A3^2 + 15*m^(-1)*A3 + 13*m^(-1)*A2 + 7*m^(-1)*A1*A2^(-1)*A3 + 13*m^(-1)*A1 + 2*m^(-1)*A1*A2*A3^(-1) + 2*A3^2 + 6*A2*A3 + 2*A1*A2^(-1)*A3^2 + 9*A1*A3 + 4*A1*A2 + 2*m*A1*A3^2 + 2*m*A1*A2*A3
VertexMaslovRank
(-1, -1, -1)-52
(-1, -1, 1)-32
(-1, 0, -2)-52
(-1, 1, -2)-42
(-1, 1, 1)-14
(0, -1, 2)-12
(0, 0, -2)-42
(0, 0, 2)02
(0, 1, -2)-32
(1, -1, -1)-34
(1, -1, 2)02
(1, 0, 2)12
(1, 1, -1)-12
(1, 1, 1)12
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Record

FL/HFL Links

orderOption(int) 2948
namestring L11n271{1;1}
statusstring success
slugstring L11n271_1_1_71303e58
result_filestring details/L11n271_1_1_71303e58.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 240
wall_secondsOption(float) 0.004104
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 35
vertex_countOption(int) 14
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L11n271_1_1_71303e58"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n271_1_1_71303e58