details/L11a181_1_77f2f038.json

Multivariable Alexander polynomial

ΔL
3*A1*A2 - 8*A1 + 7*A1*A2^(-1) - 2*A1*A2^(-2) + 2*A2^(2) - 9*A2 + 15 - 9*A2^(-1) + 2*A2^(-2) - 2*A1^(-1)*A2^(2) + 7*A1^(-1)*A2 - 8*A1^(-1) + 3*A1^(-1)*A2^(-1)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Polygon of Alexander-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -2) no
(0, -4) no
(2, -4) no
(2, 2) no
(0, 4) no
(-2, 4) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
3*m^(-4)*A1^(-3/2)*A2^(-3/2) + 2*m^(-4)*A1^(-1/2)*A2^(-5/2) + 11*m^(-3)*A1^(-3/2)*A2^(-1/2) + 14*m^(-3)*A1^(-1/2)*A2^(-3/2) + 4*m^(-3)*A1^(1/2)*A2^(-5/2) + 15*m^(-2)*A1^(-3/2)*A2^(1/2) + 35*m^(-2)*A1^(-1/2)*A2^(-1/2) + 20*m^(-2)*A1^(1/2)*A2^(-3/2) + 2*m^(-2)*A1^(3/2)*A2^(-5/2) + 9*m^(-1)*A1^(-3/2)*A2^(3/2) + 39*m^(-1)*A1^(-1/2)*A2^(1/2) + 39*m^(-1)*A1^(1/2)*A2^(-1/2) + 9*m^(-1)*A1^(3/2)*A2^(-3/2) + 2*A1^(-3/2)*A2^(5/2) + 20*A1^(-1/2)*A2^(3/2) + 35*A1^(1/2)*A2^(1/2) + 15*A1^(3/2)*A2^(-1/2) + 4*m*A1^(-1/2)*A2^(5/2) + 14*m*A1^(1/2)*A2^(3/2) + 11*m*A1^(3/2)*A2^(1/2) + 2*m^2*A1^(1/2)*A2^(5/2) + 3*m^2*A1^(3/2)*A2^(3/2)
VertexMaslovRank
(-3/2, -3/2)-43
(-1/2, -5/2)-42
(3/2, -5/2)-22
(3/2, 3/2)23
(1/2, 5/2)22
(-3/2, 5/2)02
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 788
namestring L11a181{1}
statusstring success
slugstring L11a181_1_77f2f038
result_filestring details/L11a181_1_77f2f038.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 308
wall_secondsOption(float) 0.004122
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 22
vertex_countOption(int) 6
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 13
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a181_1_77f2f038"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a181_1_77f2f038