Consider the graph of the equation \(z^2 + (\overline{z})^2 = 2.\)For each complex number in the following list, 1, 0, 1+i, \(2 - i\sqrt{3}\), 2-i, -1, i.
Figure out whether each one is on the graph.
The complex numbers that work are 1, 1 + i, -1, and i.
