details/L11a107_1_732d8f00.json

Multivariable Alexander polynomial

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

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-0.500.505A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -7) yes
(1, -5) no
(1, 7) yes
(-1, 5) no
Dual Thurston polygon-101-50510h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-1)*A2^(-4) + 3*m^(-3)*A1^(-1)*A2^(-3) + m^(-3)*A2^(-4) + 4*m^(-2)*A1^(-1)*A2^(-2) + 5*m^(-2)*A2^(-3) + 4*m^(-1)*A1^(-1)*A2^(-1) + 8*m^(-1)*A2^(-2) + 2*m^(-1)*A1*A2^(-3) + 4*A1^(-1) + 8*A2^(-1) + 4*A1*A2^(-2) + 4*m*A1^(-1)*A2 + 8*m + 4*m*A1*A2^(-1) + 4*m^2*A1^(-1)*A2^2 + 8*m^2*A2 + 4*m^2*A1 + 2*m^3*A1^(-1)*A2^3 + 8*m^3*A2^2 + 4*m^3*A1*A2 + 5*m^4*A2^3 + 4*m^4*A1*A2^2 + m^5*A2^4 + 3*m^5*A1*A2^3 + m^6*A1*A2^4
VertexMaslovRank
(-1, -4)-41
(0, -4)-31
(1, -3)-12
(1, 4)61
(0, 4)51
(-1, 3)32
HFL polytope-101-505A1A2

Record

FL/HFL Links

orderOption(int) 624
namestring L11a107{1}
statusstring success
slugstring L11a107_1_732d8f00
result_filestring details/L11a107_1_732d8f00.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 104
wall_secondsOption(float) 0.002237
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 25
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a107_1_732d8f00"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a107_1_732d8f00