"Source: Text/Commut/RngMPolLoc.text";
"Line: 633";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/RngMPolLoc.text, line: 633
// Example: H117E2 ()
print "Example: H117E2";
ei := GetEchoInput();
SetEchoInput(true);
Q := RationalField();
R<x,y,z> := LocalPolynomialRing(Q, 3);
I := Ideal([x^5 - x*y^6 + z^7, x*y + y^3 + z^3, x^2 + y^2 - z^2]);
I;
StandardBasis(I);                              
[Factorization(f): f in $1];
SetEchoInput(ei);
