details/L2a1_1_5f9bd65d.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(0, 0) (1, 1) x1^(0)x2^(0) q^(1/2) 
{"0": [-1, 1], "1": [1, -1]}
 
(-q^(1/2))
(0, 0) (1, 1) x1^(0)x2^(0) q^(1/2) 
{"0": [1, 1], "1": [1, 1]}
 
(-q^(1/2))
(0, 0) x1^(0)x2^(0) q^(1/2) 
(-q^(1/2))

Braid

Braid word Components Crossings Strands
[1, 1] 2 2 2

Multivariable Alexander polynomial

ΔL
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-0.100.10.2-0.100.10.2A1A2

Dual Thurston polytope

VertexDual to fibered face
(0, 0) yes
Dual Thurston polygon-0.100.10.2-0.100.10.2h1h2

HFL polytope

Poincaré polynomial
m^(-2)*A1^(-1/2)*A2^(-1/2) + m^(-1)*A1^(-1/2)*A2^(1/2) + m^(-1)*A1^(1/2)*A2^(-1/2) + A1^(1/2)*A2^(1/2)
VertexMaslovRank
(-1/2, -1/2)-21
(1/2, -1/2)-11
(1/2, 1/2)01
(-1/2, 1/2)-11
HFL polytope-0.500.5-0.500.5A1A2

Record

FL/HFL Links

orderOption(int) 2
namestring L2a1{1}
statusstring success
slugstring L2a1_1_5f9bd65d
result_filestring details/L2a1_1_5f9bd65d.json
complexity_scoreOption(int) 8
strandsOption(int) null
crossingsOption(int) 2
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 4
wall_secondsOption(float) 0.002428
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 4
vertex_countOption(int) 4
fibered_vertex_countOption(int) 1
polytope_statusstring computed
alexander_support_sizeOption(int) 1
alexander_vertex_countOption(int) 1
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L2a1_1_5f9bd65d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L2a1_1_5f9bd65d