The solutions of the equation z^{4}+4 z^{3} i-6 z^{2}-4 z i-i=0 are the vertices of a convex polygon in the complex plane. What is the area of the polygon?
Answer Choices
A. 2^{\dfrac{5}{8}}
B. 2^{\dfrac{3}{4}}
C. 2
D. 2^{\dfrac{5}{4}}
E. 2^{\dfrac{3}{2}}