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https://github.com/kalmarek/PropertyT.jl.git
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40 lines
1.1 KiB
Julia
40 lines
1.1 KiB
Julia
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@testset "1703.09680 Examples" begin
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@testset "SL(2,Z)" begin
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N = 2
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, solver(20000, accel=20); upper_bound=0.1)
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@test PropertyT.check_property_T(sett) == false
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end
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@testset "SL(3,Z)" begin
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N = 3
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G = MatrixSpace(Nemo.ZZ, N,N)
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, solver(1000, accel=20); upper_bound=0.1)
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@test PropertyT.check_property_T(sett) == true
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end
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@testset "SAut(F₂)" begin
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N = 2
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G = SAut(FreeGroup(N))
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S = Groups.gens(G)
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S = [S; inv.(S)]
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rm("SAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, solver(20000);
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upper_bound=0.15, warmstart=false)
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@test PropertyT.check_property_T(sett) == false
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end
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end
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