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#!/usr/bin/env python3
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from Cryptotools.Groups.cyclic import Cyclic
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from random import choice
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def operation(a, b, n):
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return (a ** b) % n
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n = 19
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g = list()
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for i in range(1, n):
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g.append(i)
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print(f"n = {n}")
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print(f"G = {g}")
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cyclic = Cyclic(g, n, operation)
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cyclic.generator()
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generators = cyclic.getGenerators()
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print(f"All generators: {generators}")
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e = choice(generators)
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z = list()
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for a in range(1, n):
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res = operation(e, a, n)
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z.append(res)
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z = sorted(z)
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if z == g:
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print(f"Working with the generator {e}")
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