If z2=zˉz^2 = \bar{z}z2=zˉ, which of the following complex numbers is a solution?
1+i1+i1+i
ei2π/3e^{i2\pi/3}ei2π/3
eiπ/2e^{i\pi/2}eiπ/2
eiπ/4e^{i\pi/4}eiπ/4