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How to Compute Pic(Z[ζp,1/p])

Consider the extension Q(ζp)/Q, where ζp is a primitive pth root of unity (and p is a prime number). Form the ring of integers Z[ζp]. Now, invert the prime p, to obtain the ring R=Z[ζp,1/p]. I want to compute Pic(R).

Is this possible to do using sagemath? If so, how? How do I construct the ring R using sagemath?