"Source: Text/Commut/Ideal.text";
"Line: 1011";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/Ideal.text, line: 1011
// Example: H116E6 ()
print "Example: H116E6";
ei := GetEchoInput();
SetEchoInput(true);
P<x, y, z> := PolynomialRing(RationalField(), 3);
I := ideal<P |
    1 - x + x*y^2 - x*z^2,
    1 - y + y*x^2 + y*z^2,
    1 - z - z*x^2 + z*y^2 >;
UnivariateEliminationIdealGenerator(I, 1);
UnivariateEliminationIdealGenerator(I, 2);     
E :=  EliminationIdeal(I, {y, z});
E;
SetEchoInput(ei);
