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https://github.com/kalmarek/SmallHyperbolic
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better parsing
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parent
ea407d2e98
commit
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61
PSL.jl
61
PSL.jl
@ -3,54 +3,65 @@ using DelimitedFiles
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include("src/nemo_utils.jl")
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function parse_evalZ(arg, expr_str)
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ex = Meta.parse(expr_str)
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return @eval begin
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let Z=$arg
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$ex
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end
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end
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end
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function parse_evalzz(arg, expr_str)
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function parse_eval(arg, expr_str, var)
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ex = Meta.parse(expr_str)
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svar = :($var)
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return @eval begin
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let zz=$arg
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let $svar = $arg
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$ex
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end
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end
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end
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function load_discrete_repr(i, q=109; CC=AcbField(512))
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ζ = root_of_unity(CC, (q-1)÷2)
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degree = q-1
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ζ = root_of_unity(CC, (q - 1) ÷ 2)
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degree = q - 1
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ra = readdlm("data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_a.txt", ',', String)
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a = matrix(CC, [CC(parse_evalZ(ζ, s)) for s in ra[1:degree, 1:degree]])
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ra = readdlm(
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"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_a.txt",
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',',
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String,
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)
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a = matrix(CC, [CC(parse_eval(ζ, s, :Z)) for s in ra[1:degree, 1:degree]])
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rb = readdlm("data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_b.txt", ',', String)
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b = matrix(CC, [CC(parse_evalZ(ζ, s)) for s in rb[1:degree, 1:degree]])
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rb = readdlm(
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"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_b.txt",
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',',
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String,
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)
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b = matrix(CC, [CC(parse_eval(ζ, s, :Z)) for s in rb[1:degree, 1:degree]])
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return a,b
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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(512))
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ζ = root_of_unity(CC, (q-1)÷2)
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degree = q+1
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ζ = root_of_unity(CC, (q - 1) ÷ 2)
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degree = q + 1
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ra = readdlm("data/Principal reps PSL(2, $q)/principal_rep_$(i)_a.txt", ',', String)
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a = matrix(CC, [CC(parse_evalzz(ζ, s)) for s in ra[1:degree, 1:degree]])
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ra = readdlm(
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"data/Principal reps PSL(2, $q)/principal_rep_$(i)_a.txt",
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',',
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String,
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)
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a = matrix(CC, [CC(parse_eval(ζ, s, :zz)) for s in ra[1:degree, 1:degree]])
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rb = readdlm("data/Principal reps PSL(2, $q)/principal_rep_$(i)_b.txt", ',', String)
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b = matrix(CC, [CC(parse_evalzz(ζ, s)) for s in rb[1:degree, 1:degree]])
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rb = readdlm(
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"data/Principal reps PSL(2, $q)/principal_rep_$(i)_b.txt",
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',',
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String,
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)
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b = matrix(CC, [CC(parse_eval(ζ, s, :zz)) for s in rb[1:degree, 1:degree]])
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return a,b
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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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return eigvals(X * m * inv(X))
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end
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for i in 0:27
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