1. Find where and determine all its subfields. Make sure you justify your answer. For example, if you state that two subfields and are different, you need to prove that this is indeed the case.
2. Do the same for
[Updated, April 2: I guess the hint I gave for problem 2 makes no sense, sorry about that. Rather, you may want to begin by looking at how factors. Then, to compute it may be helpful to look at a triangle with angles and ]