"Source: Text/Basics/RngMPol.text";
"Line: 1192";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Basics/RngMPol.text, line: 1192
// Example: H25E5 ()
print "Example: H25E5";
ei := GetEchoInput();
SetEchoInput(true);
P<x,y> := PolynomialRing(GF(5), 2);
f := x^2 - y + 3;
g := y^3 - x*y + x;
ry := Resultant(f, g, y);       
ry;
Roots(UnivariatePolynomial(ry));
Evaluate(f, x, 3);
Evaluate(g, x, 3);
GCD($1, $2);
rx := Resultant(f, g, x); 
rx;
Roots(UnivariatePolynomial(rx));
Evaluate(f, y, 2);
Evaluate(g, y, 2);
GCD($1, $2);
SetEchoInput(ei);
