**Exercise 6.** This software determines the zero-divisors in
*Z*_{n}
[*i*] = { *a+bi *| *a, b* belong to *Z*_{n} }. Use the software to
formulate and test conjectures about the number of zero-divisors
in *Z*_{n}[*i*]
based on various conditions of *n*. Run the program for *n* =
5, 13, and
17. Make conjecture about the number of
zero-divisors for primes of this form. Run the program for *n* = 3,
7, 11, and 19. Make conjecture about the number
of zero-divisors for primes of this form.