what is minimal polynomial of e^(2i\5) over Q ??
C cvcv49 New member Joined Apr 29, 2010 Messages 10 Jun 10, 2010 #1 what is minimal polynomial of e^(2i\5) over Q ??
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,216 Jun 10, 2010 #2 I know a wee bit about Field algebra. Eisenstein Criterion and all that. Do you perhaps mean e2πi5\displaystyle e^{\frac{2{\pi}i}{5}}e52πi?. This is in C, though, not Q. Try thinking about letting x=e2πi5\displaystyle x=e^{\frac{2{\pi}i}{5}}x=e52πi What value of n makes xn=1\displaystyle x^{n}=1xn=1
I know a wee bit about Field algebra. Eisenstein Criterion and all that. Do you perhaps mean e2πi5\displaystyle e^{\frac{2{\pi}i}{5}}e52πi?. This is in C, though, not Q. Try thinking about letting x=e2πi5\displaystyle x=e^{\frac{2{\pi}i}{5}}x=e52πi What value of n makes xn=1\displaystyle x^{n}=1xn=1
