If z=eiπ/3z = e^{i\pi/3}z=eiπ/3, find the value of 1z2\frac{1}{z^2}z21.
eiπ/3e^{i\pi/3}eiπ/3
e−i2π/3e^{-i2\pi/3}e−i2π/3
ei2π/3e^{i2\pi/3}ei2π/3
e−iπ/6e^{-i\pi/6}e−iπ/6