details/L11a199_0_269b7f3a.json

Multivariable Alexander polynomial

ΔL
2*A1*A2^(2) - 6*A1*A2 + 4*A1 - A1*A2^(-1) - A2^(2) + 5*A2 - 9 + 5*A2^(-1) - A2^(-2) - A1^(-1)*A2 + 4*A1^(-1) - 6*A1^(-1)*A2^(-1) + 2*A1^(-1)*A2^(-2)

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, -4) no
(0, -4) yes
(2, -2) yes
(2, 4) no
(0, 4) yes
(-2, 2) yes
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
2*m^(-2)*A1^(-3/2)*A2^(-5/2) + 8*m^(-1)*A1^(-3/2)*A2^(-3/2) + 3*m^(-1)*A1^(-1/2)*A2^(-5/2) + 10*A1^(-3/2)*A2^(-1/2) + 14*A1^(-1/2)*A2^(-3/2) + A1^(1/2)*A2^(-5/2) + 5*m*A1^(-3/2)*A2^(1/2) + 24*m*A1^(-1/2)*A2^(-1/2) + 7*m*A1^(1/2)*A2^(-3/2) + m^2*A1^(-3/2)*A2^(3/2) + 19*m^2*A1^(-1/2)*A2^(1/2) + 19*m^2*A1^(1/2)*A2^(-1/2) + m^2*A1^(3/2)*A2^(-3/2) + 7*m^3*A1^(-1/2)*A2^(3/2) + 24*m^3*A1^(1/2)*A2^(1/2) + 5*m^3*A1^(3/2)*A2^(-1/2) + m^4*A1^(-1/2)*A2^(5/2) + 14*m^4*A1^(1/2)*A2^(3/2) + 10*m^4*A1^(3/2)*A2^(1/2) + 3*m^5*A1^(1/2)*A2^(5/2) + 8*m^5*A1^(3/2)*A2^(3/2) + 2*m^6*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-22
(1/2, -5/2)01
(3/2, -3/2)21
(3/2, 5/2)62
(-1/2, 5/2)41
(-3/2, 3/2)21
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 825
namestring L11a199{0}
statusstring success
slugstring L11a199_0_269b7f3a
result_filestring details/L11a199_0_269b7f3a.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 188
wall_secondsOption(float) 0.002598
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 22
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
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": "L11a199_0_269b7f3a"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a199_0_269b7f3a