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There is no method action for elements of the symmetric group. You should write a(tuple) instead of a.action(tuple). And by the way, your function does not return anything, and I think c should be initialized to 0. Maybe:

def Aut(tuple):
    c = 0
    for a in SymmetricGroup(len(tuple)):
        if a(tuple) == tuple:
            c = c+1
    return c