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, then enter "yes" or "no" in the blank corresponding to each option.
