Find the set of values zzz satisfying zn=zˉz^n = \bar{z}zn=zˉ for n=2n=2n=2.
z∈{0,1,ei2π/3,ei4π/3}z \in \{0, 1, e^{i2\pi/3}, e^{i4\pi/3}\}z∈{0,1,ei2π/3,ei4π/3}
z∈{0,1,−1}z \in \{0, 1, -1\}z∈{0,1,−1}
z∈{0,1,i,−i}z \in \{0, 1, i, -i\}z∈{0,1,i,−i}
z∈{1,eiπ/3,ei2π/3}z \in \{1, e^{i\pi/3}, e^{i2\pi/3}\}z∈{1,eiπ/3,ei2π/3}