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fix interpret_results
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@ -78,8 +78,6 @@ function saveλandP(name, λ, P, ws)
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end
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end
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exists(fname::String) = isfile(fname) || islink(fname)
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exists(fname::String) = isfile(fname) || islink(fname)
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Kazhdan(λ::Number,N::Integer) = sqrt(2*λ/N)
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filename(prefix, s::Symbol) = filename(prefix, Val{s})
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filename(prefix, s::Symbol) = filename(prefix, Val{s})
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@eval begin
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@eval begin
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@ -153,20 +151,18 @@ for T in [:Naive, :Symmetrize]
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end
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end
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end
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end
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function interpret_results(name::String, Δ::GroupRingElem, radius::Integer, length_S::Integer, λ::AbstractFloat, P)
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Kazhdan(λ::Number, N::Integer) = sqrt(2*λ/N)
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@time Q = real(sqrtm(Symmetric(P)))
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function interpret_results(sett::Settings, sgap::Number)
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sgap = distance_to_cone(Δ, λ, Q, wlen=2*radius)
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if sgap > 0
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if sgap > 0
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Kazhdan_κ = Kazhdan(sgap, length_S)
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Kazhdan_κ = Kazhdan(sgap, length(sett.S))
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if Kazhdan_κ > 0
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if Kazhdan_κ > 0
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info("κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!")
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info("κ($(sett.name), S) ≥ $Kazhdan_κ: Group HAS property (T)!")
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return true
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return true
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end
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end
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end
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end
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info("λ($name, S) ≥ $sgap < 0: Tells us nothing about property (T)")
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info("λ($(sett.name), S) ≥ $sgap < 0: Tells us nothing about property (T)")
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return false
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return false
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end
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end
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