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 p is a prime and p mod 4 = 1. Make a conjecture about the case where n = p^k where p is a prime and p mod 4 = 3.