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better parsing

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kalmarek 2020-05-13 15:18:46 +02:00
parent ea407d2e98
commit 9698901921
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1 changed files with 40 additions and 29 deletions
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69
PSL.jl
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@ -3,54 +3,65 @@ using DelimitedFiles
include("src/nemo_utils.jl")
function parse_evalZ(arg, expr_str)
ex = Meta.parse(expr_str)
return @eval begin
let Z=$arg
$ex
end
end
end
function parse_evalzz(arg, expr_str)
function parse_eval(arg, expr_str, var)
ex = Meta.parse(expr_str)
svar = :($var)
return @eval begin
let zz=$arg
$ex
end
let $svar = $arg
$ex
end
end
end
function load_discrete_repr(i, q=109; CC=AcbField(512))
ζ = root_of_unity(CC, (q-1)÷2)
degree = q-1
ζ = root_of_unity(CC, (q - 1) ÷ 2)
degree = q - 1
ra = readdlm("data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_a.txt", ',', String)
a = matrix(CC, [CC(parse_evalZ(ζ, s)) for s in ra[1:degree, 1:degree]])
ra = readdlm(
"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_a.txt",
',',
String,
)
a = matrix(CC, [CC(parse_eval(ζ, s, :Z)) for s in ra[1:degree, 1:degree]])
rb = readdlm("data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_b.txt", ',', String)
b = matrix(CC, [CC(parse_evalZ(ζ, s)) for s in rb[1:degree, 1:degree]])
rb = readdlm(
"data/Discrete reps PSL(2, $q)/discrete_rep_$(i)_b.txt",
',',
String,
)
b = matrix(CC, [CC(parse_eval(ζ, s, :Z)) for s in rb[1:degree, 1:degree]])
return a,b
return a, b
end
function load_principal_repr(i, q=109; CC=AcbField(512))
ζ = root_of_unity(CC, (q-1)÷2)
degree = q+1
ζ = root_of_unity(CC, (q - 1) ÷ 2)
degree = q + 1
ra = readdlm("data/Principal reps PSL(2, $q)/principal_rep_$(i)_a.txt", ',', String)
a = matrix(CC, [CC(parse_evalzz(ζ, s)) for s in ra[1:degree, 1:degree]])
ra = readdlm(
"data/Principal reps PSL(2, $q)/principal_rep_$(i)_a.txt",
',',
String,
)
a = matrix(CC, [CC(parse_eval(ζ, s, :zz)) for s in ra[1:degree, 1:degree]])
rb = readdlm("data/Principal reps PSL(2, $q)/principal_rep_$(i)_b.txt", ',', String)
b = matrix(CC, [CC(parse_evalzz(ζ, s)) for s in rb[1:degree, 1:degree]])
rb = readdlm(
"data/Principal reps PSL(2, $q)/principal_rep_$(i)_b.txt",
',',
String,
)
b = matrix(CC, [CC(parse_eval(ζ, s, :zz)) for s in rb[1:degree, 1:degree]])
return a,b
return a, b
end
function safe_eigvals(m::acb_mat)
CC = base_ring(m)
X = matrix(CC, rand(CC, size(m)))
return eigvals(X*m*inv(X))
CC = base_ring(m)
X = matrix(CC, rand(CC, size(m)))
return eigvals(X * m * inv(X))
end
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