For all sets A of complex numbers, let P(A) be the product of the elements of A. Let S_{z}= \{1,2,9,99,999, \frac{1}{z}, \frac{1}{z^{2}}\}, let T_{z} be the set of nonempty subsets of S_{z} (including S_{z} ), and let f(z)=1+\sum_{s \in T_{z}} P(s). Suppose f(z)=6125000 for some complex number z. Compute the product of all possible values of z.