details/L10a153_1_0_ca4bdae4.json

Multivariable Alexander polynomial

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

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, -4, 2) yes
(1, 4, -2) yes
(1, -2, 2) no
(-1, 2, -2) no
(1, 0, -2) yes
(-1, 0, -2) no
(-1, 2, 0) yes
(1, -2, 0) yes
(1, 0, 2) no
(-1, 0, 2) yes
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HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-5/2)*A3^(1/2) + 2*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 2*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + m^(-5)*A1^(-1)*A2^(-5/2)*A3^(3/2) + 5*m^(-5)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 7*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 4*m^(-5)*A1^(-1)*A2^(1/2)*A3^(-3/2) + m^(-5)*A2^(-5/2)*A3^(1/2) + 3*m^(-5)*A2^(-3/2)*A3^(-1/2) + 3*m^(-5)*A2^(-1/2)*A3^(-3/2) + 3*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 8*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 8*m^(-4)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 2*m^(-4)*A1^(-1)*A2^(3/2)*A3^(-3/2) + m^(-4)*A2^(-5/2)*A3^(3/2) + 8*m^(-4)*A2^(-3/2)*A3^(1/2) + 12*m^(-4)*A2^(-1/2)*A3^(-1/2) + 7*m^(-4)*A2^(1/2)*A3^(-3/2) + m^(-4)*A1*A2^(-3/2)*A3^(-1/2) + m^(-4)*A1*A2^(-1/2)*A3^(-3/2) + 3*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 5*m^(-3)*A1^(-1)*A2^(1/2)*A3^(1/2) + 3*m^(-3)*A1^(-1)*A2^(3/2)*A3^(-1/2) + 5*m^(-3)*A2^(-3/2)*A3^(3/2) + 16*m^(-3)*A2^(-1/2)*A3^(1/2) + 16*m^(-3)*A2^(1/2)*A3^(-1/2) + 5*m^(-3)*A2^(3/2)*A3^(-3/2) + 3*m^(-3)*A1*A2^(-3/2)*A3^(1/2) + 5*m^(-3)*A1*A2^(-1/2)*A3^(-1/2) + 3*m^(-3)*A1*A2^(1/2)*A3^(-3/2) + m^(-2)*A1^(-1)*A2^(1/2)*A3^(3/2) + m^(-2)*A1^(-1)*A2^(3/2)*A3^(1/2) + 7*m^(-2)*A2^(-1/2)*A3^(3/2) + 12*m^(-2)*A2^(1/2)*A3^(1/2) + 8*m^(-2)*A2^(3/2)*A3^(-1/2) + m^(-2)*A2^(5/2)*A3^(-3/2) + 2*m^(-2)*A1*A2^(-3/2)*A3^(3/2) + 8*m^(-2)*A1*A2^(-1/2)*A3^(1/2) + 8*m^(-2)*A1*A2^(1/2)*A3^(-1/2) + 3*m^(-2)*A1*A2^(3/2)*A3^(-3/2) + 3*m^(-1)*A2^(1/2)*A3^(3/2) + 3*m^(-1)*A2^(3/2)*A3^(1/2) + m^(-1)*A2^(5/2)*A3^(-1/2) + 4*m^(-1)*A1*A2^(-1/2)*A3^(3/2) + 7*m^(-1)*A1*A2^(1/2)*A3^(1/2) + 5*m^(-1)*A1*A2^(3/2)*A3^(-1/2) + m^(-1)*A1*A2^(5/2)*A3^(-3/2) + 2*A1*A2^(1/2)*A3^(3/2) + 2*A1*A2^(3/2)*A3^(1/2) + A1*A2^(5/2)*A3^(-1/2)
VertexMaslovRank
(-1, -5/2, 1/2)-61
(-1, -5/2, 3/2)-51
(-1, -1/2, -3/2)-62
(-1, 1/2, 3/2)-21
(-1, 3/2, -3/2)-42
(-1, 3/2, 1/2)-21
(0, -5/2, 1/2)-51
(0, -5/2, 3/2)-41
(0, 5/2, -3/2)-21
(0, 5/2, -1/2)-11
(1, -3/2, -1/2)-41
(1, -3/2, 3/2)-22
(1, -1/2, -3/2)-41
(1, 1/2, 3/2)02
(1, 5/2, -3/2)-11
(1, 5/2, -1/2)01
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Record

FL/HFL Links

orderOption(int) 2119
namestring L10a153{1;0}
statusstring success
slugstring L10a153_1_0_ca4bdae4
result_filestring details/L10a153_1_0_ca4bdae4.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 224
wall_secondsOption(float) 0.00243
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 50
vertex_countOption(int) 16
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 10
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a153_1_0_ca4bdae4"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a153_1_0_ca4bdae4