Complex Arithmetic/Examples/(Modulus of (z 1^2 + conj z 2^2))^2 + (Modulus of (conj z 3^2 - z 2^2))^2

Example of Complex Arithmetic
Let $z_1 = 1 - i$, $z_2 = -2 + 4 i$ and $z_3 = \sqrt 3 - 2 i$.

Then:
 * $\cmod { {z_1}^2 + \overline {z_2}^2}^2 + \cmod {\overline {z_3}^2 - {z_2}^2}^2 = 765 + 128 \sqrt 3$