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What is the bug ?

I am writing this code in sage online worksheet given a tuple say $a=(a_1,a_2,...a_n)$ \phi be an permutation in S_n then \phi(a)= (a_\phi(1),...,a_\phi(n)) I want to count the number of permutation that fixes a The code is as follows

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