G(Z) = (Z+i)/(Z-i) for all complex numbers Z ≠ i, and:

The sequence {Z

_{n}} is defined as:

G(Z

_{n-1}) = Z

_{n}, whenever n is a positive integer, and:

Z

_{0}= 1/137 + i

Find each of A, B, C and D, given that:

Z

_{2014}= A+B*i, and:

Z

_{2015}= C+D*i