# Math Help - Find and prove conductor of cyclotomic extension

1. ## Find and prove conductor of cyclotomic extension

As title, and the result is
1, if 2nd root of unity.

(m/2)*(infinite real), if m'th roots of unity and m=2n for some odd n.

m*(infinite real), otherwise.

thank you

2. What do you mean by infinite real?

3. It is real infinite prime: embeddings of extension fields into real number.