details/L11a303_0_2f6fe362.json

Multivariable Alexander polynomial

ΔL
-A1^(3/2)*A2^(5/2) + 2*A1^(3/2)*A2^(3/2) - 2*A1^(3/2)*A2^(1/2) + A1^(3/2)*A2^(-1/2) + A1^(1/2)*A2^(5/2) - 5*A1^(1/2)*A2^(3/2) + 8*A1^(1/2)*A2^(1/2) - 7*A1^(1/2)*A2^(-1/2) + 2*A1^(1/2)*A2^(-3/2) + 2*A1^(-1/2)*A2^(3/2) - 7*A1^(-1/2)*A2^(1/2) + 8*A1^(-1/2)*A2^(-1/2) - 5*A1^(-1/2)*A2^(-3/2) + A1^(-1/2)*A2^(-5/2) + A1^(-3/2)*A2^(1/2) - 2*A1^(-3/2)*A2^(-1/2) + 2*A1^(-3/2)*A2^(-3/2) - A1^(-3/2)*A2^(-5/2)

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-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -5) yes
(-1, -5) yes
(3, -1) yes
(3, 5) yes
(1, 5) yes
(-3, 1) yes
Dual Thurston polygon05-505h1h2

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-2)*A2^(-3) + 3*m^(-4)*A1^(-2)*A2^(-2) + 2*m^(-4)*A1^(-1)*A2^(-3) + 4*m^(-3)*A1^(-2)*A2^(-1) + 9*m^(-3)*A1^(-1)*A2^(-2) + m^(-3)*A2^(-3) + 3*m^(-2)*A1^(-2) + 17*m^(-2)*A1^(-1)*A2^(-1) + 8*m^(-2)*A2^(-2) + m^(-1)*A1^(-2)*A2 + 18*m^(-1)*A1^(-1) + 22*m^(-1)*A2^(-1) + 2*m^(-1)*A1*A2^(-2) + 10*A1^(-1)*A2 + 30 + 10*A1*A2^(-1) + 2*m*A1^(-1)*A2^2 + 22*m*A2 + 18*m*A1 + m*A1^2*A2^(-1) + 8*m^2*A2^2 + 17*m^2*A1*A2 + 3*m^2*A1^2 + m^3*A2^3 + 9*m^3*A1*A2^2 + 4*m^3*A1^2*A2 + 2*m^4*A1*A2^3 + 3*m^4*A1^2*A2^2 + m^5*A1^2*A2^3
VertexMaslovRank
(-2, -3)-51
(0, -3)-31
(2, -1)11
(2, 3)51
(0, 3)31
(-2, 1)-11
HFL polytope-20205A1A2

Record

FL/HFL Links

orderOption(int) 1059
namestring L11a303{0}
statusstring success
slugstring L11a303_0_2f6fe362
result_filestring details/L11a303_0_2f6fe362.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 232
wall_secondsOption(float) 0.003341
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 29
vertex_countOption(int) 6
fibered_vertex_countOption(int) 6
polytope_statusstring computed
alexander_support_sizeOption(int) 18
alexander_vertex_countOption(int) 6
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a303_0_2f6fe362"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a303_0_2f6fe362