I want to study the idelic Artin map for the, say, 7th cyclotomic field explicitly. In other words I want to see how a particular idele can be constructed which gets sent to the identity element in Galois group,which means, in the idealic language, p=29 splits completely in the cyclotomic extension mapping p=29 to identity Frobenius element. I am not clear how to phrase this in the idelic language.