$z=\sqrt{2}\left(-1+i\right)e^{\frac{1}{4}\pi i}\approx -2$
$z=\sqrt{2}\left(1+i\right)e^{\frac{1}{4}\pi i}\approx 2i$
$z=\sqrt{2}\left(-1-i\right)e^{\frac{1}{4}\pi i}\approx -2i$
$z=\sqrt{2}\left(1-i\right)e^{\frac{1}{4}\pi i}\approx 2$