52 lines
1.4 KiB
Julia
52 lines
1.4 KiB
Julia
@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 = MatrixAlgebra(zz, N)
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S = PropertyT.generating_set(G)
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, with_SCS(20000, accel=20); upper_bound=0.1)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@test PropertyT.interpret_results(sett, λ) == 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 = MatrixAlgebra(zz, N)
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S = PropertyT.generating_set(G)
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rm("SL($N,Z)", recursive=true, force=true)
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sett = PropertyT.Settings("SL($N,Z)", G, S, with_SCS(1000, accel=20); upper_bound=0.1)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ > 0.099
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@test PropertyT.interpret_results(sett, λ) == true
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@test PropertyT.check_property_T(sett) == true #second run should be fast
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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 = PropertyT.generating_set(G)
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rm("SAut(F$N)", recursive=true, force=true)
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sett = PropertyT.Settings("SAut(F$N)", G, S, with_SCS(10000);
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upper_bound=0.15)
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@info sett
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λ = PropertyT.spectral_gap(sett)
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@test λ < 0.0
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@test PropertyT.interpret_results(sett, λ) == false
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end
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end
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