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2015-03-13 00:38:52 +0200 asked a question Least-modulus description of congruences

Suppose I'm given a bunch of residues mod $n$. Is there an efficient/elegant way to get sage to calculate the least modulus $m$ and set of residues mod $m$ which describes the same set? For example if I give it "0,2,4,6 mod 8" it should simply return "0 mod 2".