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mirror of https://github.com/kalmarek/SmallHyperbolic synced 2024-11-09 04:05:27 +01:00
SmallHyperbolic/data/smallhyperbolicgrp.jl

74 lines
2.5 KiB
Julia

struct TriangleGrp
type::NTuple{3,Int}
generators::Vector{String}
relations::Vector{String}
order1::Int
order2::Int
order3::Int
index::Int
presentation_length::Int
hyperbolic::Union{Missing,Bool}
witnesses_non_hyperbolictity::Union{Missing,Vector{String}}
virtually_torsion_free::Union{Missing,Bool}
Kazdhdan_property_T::Union{Missing,Bool}
abelianization_dimension::Int
L2_quotients::Vector{String}
quotients::Vector{Pair{String,Int}}
alternating_quotients::Vector{Int}
maximal_order_alt_quo::Int
end
_name(G) = "G_$(G.order1)_$(G.order2)_$(G.order3)_$(G.index)"
name(G::TriangleGrp) = _name(G)
grp_name(nt::NamedTuple) = _name(nt)
latex_name(G::TriangleGrp) = "\$G^{$(G.order1),$(G.order2),$(G.order3)}_$(G.index)"
function TriangleGrp(type::NTuple{3,Int}, generators, relations, nt::NamedTuple)
# @assert fieldnames(SmallHyperbolicGrp) == propertynames(nt)
hyperbolic, witness = if hasproperty(nt, :hyperbolic)
h = _tf_missing(nt.hyperbolic)
nh_w = nt.witnesses_for_non_hyperbolicity
w = isempty(strip(nh_w)) ? missing : parse_vec(String, '[' * nh_w * ']')
h, w
elseif 1 // nt.order1 + 1 // nt.order2 + 1 // nt.order3 < 1
true, missing
else
missing, missing
end
TriangleGrp(
type,
convert(Vector{String}, generators),
convert(Vector{String}, relations),
convert(Int, nt.order1),
convert(Int, nt.order2),
convert(Int, nt.order3),
convert(Int, nt.index),
convert(Int, nt.presentation_length),
hyperbolic,
witness,
_tf_missing(nt.virtually_torsion_free),
_tf_missing(nt.Kazhdan),
convert(Int, nt.abelianization_dimension),
parse_vec(String, nt.L2_quotients),
[Pair(p...) for p in parse_vec(Tuple{String,Int}, nt.quotients)],
parse_vec(Int, nt.alternating_quotients),
convert(Int, nt.maximal_order_for_alternating_quotients),
)
end
import DataStructures
import JSON.Serializations: CommonSerialization, StandardSerialization
import JSON.Writer: StructuralContext, show_json
struct TriangleGrpSerialization <: CommonSerialization end
function show_json(io::StructuralContext, ::TriangleGrpSerialization, G::TriangleGrp)
D = DataStructures.OrderedDict{Symbol,Any}(:name => latex_name(G))
for fname in fieldnames(TriangleGrp)
D[fname] = getfield(G, fname)
end
return show_json(io, StandardSerialization(), D)
end