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First, you can get the list of values of P, viewed as strings as follows:

sage: sage: L = [str(i) for i in P]
sage: L
['1', '2', '3', '4']

Then you can join those strings with an empty separator:

sage: ''.join(L)

Putting all together (and replacing the list with an iterator (by removing the brackets)) leads to:

sage: ''.join(str(i) for i in P)