details/L11a163_1_c2759a64.json

Multivariable Alexander polynomial

ΔL
-A1*A2 + 4*A1 - 5*A1*A2^(-1) + 3*A1*A2^(-2) - A2^(2) + 5*A2 - 7 + 5*A2^(-1) - A2^(-2) + 3*A1^(-1)*A2^(2) - 5*A1^(-1)*A2 + 4*A1^(-1) - 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) yes
(0, -4) yes
(2, -4) no
(2, 2) yes
(0, 4) yes
(-2, 4) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-3)*A1^(-3/2)*A2^(-3/2) + m^(-3)*A1^(-1/2)*A2^(-5/2) + 5*m^(-2)*A1^(-3/2)*A2^(-1/2) + 7*m^(-2)*A1^(-1/2)*A2^(-3/2) + 4*m^(-2)*A1^(1/2)*A2^(-5/2) + 9*m^(-1)*A1^(-3/2)*A2^(1/2) + 17*m^(-1)*A1^(-1/2)*A2^(-1/2) + 14*m^(-1)*A1^(1/2)*A2^(-3/2) + 3*m^(-1)*A1^(3/2)*A2^(-5/2) + 8*A1^(-3/2)*A2^(3/2) + 21*A1^(-1/2)*A2^(1/2) + 21*A1^(1/2)*A2^(-1/2) + 8*A1^(3/2)*A2^(-3/2) + 3*m*A1^(-3/2)*A2^(5/2) + 14*m*A1^(-1/2)*A2^(3/2) + 17*m*A1^(1/2)*A2^(1/2) + 9*m*A1^(3/2)*A2^(-1/2) + 4*m^2*A1^(-1/2)*A2^(5/2) + 7*m^2*A1^(1/2)*A2^(3/2) + 5*m^2*A1^(3/2)*A2^(1/2) + m^3*A1^(1/2)*A2^(5/2) + m^3*A1^(3/2)*A2^(3/2)
VertexMaslovRank
(-3/2, -3/2)-31
(-1/2, -5/2)-31
(3/2, -5/2)-13
(3/2, 3/2)31
(1/2, 5/2)31
(-3/2, 5/2)13
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 748
namestring L11a163{1}
statusstring success
slugstring L11a163_1_c2759a64
result_filestring details/L11a163_1_c2759a64.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 180
wall_secondsOption(float) 0.002577
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": "L11a163_1_c2759a64"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a163_1_c2759a64