"Source: Text/Commut/RngMPolLoc.text";
"Line: 633";
"Date: Tue Jun  7 22:27:15 2016";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Commut/RngMPolLoc.text, line: 633
// Example: H114E2 ()
print "Example: H114E2";
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);
