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

Please enter \(a\) and \(b\) then click the button.
\(a\):
\(b\):