mirror of
https://github.com/kalmarek/SmallHyperbolic
synced 2024-07-27 21:10:31 +02:00
90 lines
2.1 KiB
Julia
90 lines
2.1 KiB
Julia
using Nemo
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using DelimitedFiles
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include("src/nemo_utils.jl")
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const PRECISION = 256
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function parse_eval(expr_str, value, var_name)
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ex = Meta.parse(expr_str)
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svar = :($var_name)
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return @eval begin
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let $svar = $value
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$ex
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end
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end
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end
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function read_eval(fname, var_name, value)
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a = readdlm(fname, ',', String)
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a .= replace.(a, '/'=>"//")
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return parse_eval.(a, value, var_name)
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end
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function load_discrete_repr(i, q = 109; CC = AcbField(PRECISION))
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ζ = root_of_unity(CC, (q + 1) ÷ 2)
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degree = q - 1
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ra = read_eval(
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"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_a.txt",
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:Z, ζ)
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a = matrix(CC, [CC(s) for s in ra[1:degree, 1:degree]])
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rb = read_eval(
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"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_b.txt",
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:Z, ζ)
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b = matrix(CC, [CC(s) for s in rb[1:degree, 1:degree]])
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return a, b
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end
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function load_principal_repr(i, q = 109; CC = AcbField(PRECISION))
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ζ = root_of_unity(CC, (q - 1) ÷ 2)
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degree = q + 1
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ra = read_eval(
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"data/Principal reps PSL(2, $q)/principal_rep_$(i)_a.txt",
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:zz, ζ)
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a = matrix(CC, [CC(z) for z in ra[1:degree, 1:degree]])
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rb = read_eval(
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"data/Principal reps PSL(2, $q)/principal_rep_$(i)_b.txt",
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:zz, ζ)
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return a, b
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end
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function safe_eigvals(m::acb_mat)
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CC = base_ring(m)
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X = matrix(CC, rand(CC, size(m)))
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return eigvals(X * m * inv(X))
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end
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for i in 0:27
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try
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a,b = load_principal_repr(i)
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adjacency = sum([[a^i for i in 1:4]; [b^i for i in 1:4]])
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@time evc = safe_eigvals(adjacency)
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ev = sort(real.(first.(evc)), lt=<, rev=true)
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@info "Principal Series Representation $i" ev[1:2]
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catch ex
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@error "Principal Series Representation $i failed"
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ex isa InterruptException && throw(ex)
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end
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end
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for i in 1:27
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try
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a,b = load_discrete_repr(i)
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adjacency = sum([[a^i for i in 1:4]; [b^i for i in 1:4]])
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@time evc = eigvals(adjacency)
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ev = sort(real.(first.(evc)), lt=<, rev=true)
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@info "Discrete Series Representation $i" ev[1:2]
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catch ex
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@error "Discrete Series Representation $i : failed"
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ex isa InterruptException && rethrow(ex)
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end
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end
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