$$ (1+\sqrt{3} i)^6-(\sqrt{3}+i)^6= $$

If $z=x+i y$ and $x^2+y^2=1$, then $\frac{1+x+i y}{1+x-i y}=$

If $x^6=(\sqrt{3}-i)^5$, then the product of all of its roots is