Question 100
Let $z$ be a complex number such that $z^{2020}|z|+\bar{z} i=0$. Determine the set of values of the expression
$$
E=z^{2020}-z^{2019} i+\cdots+(-1)^{k} z^{2020-k} i^{k}+\cdots+z i+1
$$
$$
E=z^{2020}-z^{2019} i+\cdots+(-1)^{k} z^{2020-k} i^{k}+\cdots+z i+1
$$