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creating AutSymbols
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@ -81,32 +81,36 @@ function subscriptify(n::Int)
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end
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end
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function id_autsymbol()
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function id_autsymbol()
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return AutSymbol("(id)", 0, :(id()))
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return AutSymbol("(id)", 0, Identity())
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end
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end
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function rmul_autsymbol(i, j; pow::Int=1)
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function rmul_autsymbol(i, j; pow::Int=1)
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str = "ϱ"*subscriptify(i)*subscriptify(j)
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str = "ϱ"*subscriptify(i)*subscriptify(j)
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return AutSymbol(str, pow, :(ϱ($i, $j, $pow)))
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return AutSymbol(str, pow, RTransvect(i, j))
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end
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end
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function lmul_autsymbol(i, j; pow::Int=1)
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function lmul_autsymbol(i, j; pow::Int=1)
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str = "λ"*subscriptify(i)*subscriptify(j)
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str = "λ"*subscriptify(i)*subscriptify(j)
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return AutSymbol(str, pow, :(λ($i, $j, $pow)))
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return AutSymbol(str, pow, LTransvect(i, j))
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end
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end
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function flip_autsymbol(i; pow::Int=1)
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function flip_autsymbol(i; pow::Int=1)
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str = "ɛ"*subscriptify(i)
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pow = (2+pow%2)%2
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pow = (2+pow%2)%2
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return AutSymbol(str, pow, :(ɛ($i, $pow)))
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if pow == 0
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return id_autsymbol()
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else
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str = "ɛ"*subscriptify(i)
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return AutSymbol(str, pow, FlipAut(i))
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end
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end
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end
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function perm_autsymbol(p::perm; pow::Int=1)
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function perm_autsymbol(p::perm; pow::Int=1)
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p = p^pow
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if p == parent(p)()
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if p == parent(p)()
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return id_autsymbol()
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return id_autsymbol()
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else
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else
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p = p^pow
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str = "σ"*join([subscriptify(i) for i in p.d])
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str = "σ"*join([subscriptify(i) for i in p.d])
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return AutSymbol(str, 1, :(σ($(p.d), 1)))
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return AutSymbol(str, 1, PermAut(p))
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end
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end
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end
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end
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