**Exercise 3.** This software determines the isomorphism class of the group
of units of
Z_{n}[*i*].
Run the program for *n* = 5, 13, 17, 29, and 37. Make a conjecture.
Run the program for *n* = 3, 7, 11, 19, 23, and 31. Make a
conjecture.
Run the program for *n* = 5, 25, and 125. Make a conjecture.
Run the program for *n* = 13. Make a conjecture.
Run the program for *n* = 3, 9, and 27. Make a conjecture.
Run the program for *n* = 7 and 49. Make a conjecture.
Run the program for *n* = 11 and 121. Make a conjecture.
Make a conjecture about the case where *n = p ^{k}* where