**Chapter 14**

*Exercise
1*. This software determines the number of elements in the ring *Z*[*i*]*/<a
+ bi>* (where *i*^{2} = -1). Run the program for
several
cases and formulate a conjecture based on your data.

*Exercise
2*. This software determines the characteristic of the ring *Z*[*i*]*/<a
+ bi>* (where *i*^{2} = -1). Run the program for
several
cases and formulate a conjecture based on your data.

*Exercise
3*. This software determines when the ring *Z*[*i*]*/<a
+ bi>* (where *i*^{2} = -1) is isomorphic to the ring
*Z*_{a2 + b2}. Run the program for
several
cases and formulate a conjecture based on your data.

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