"Source: Text/Commut/AlgAff.text";
"Line: 656";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/AlgAff.text, line: 656
// Example: H118E6 ()
print "Example: H118E6";
ei := GetEchoInput();
SetEchoInput(true);
Q := RationalField();
A<a,b,c> := AffineAlgebra<Q, a,b,c | a^2 - b*c + 1, b^2 - c + 1, c^2 + 2>;
P<x> := PolynomialRing(A);
time Factorization(x^2 + 2);    
time Factorization(x^2 - b*c + 1);
MinimalPolynomial(a);
time Factorization(P ! $1);
SetEchoInput(ei);
