"Source: Text/Commut/PMod.text";
"Line: 1850";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/PMod.text, line: 1850
// Example: H119E5 ()
print "Example: H119E5";
ei := GetEchoInput();
SetEchoInput(true);
R<x,y,z> := PolynomialRing(RationalField(), 3, "grevlex");
F := RModule(R, 3);
M := quo<F | [x + 1, y, z], [z, y, 0]>;
M;
Degree(M);
assert $1 eq 3;
Rank(M);
assert $1 eq 3;
ML := Localization(M);
ML;
Rank(ML);
assert $1 eq 2;
MinimalBasis(ML);
SetEchoInput(ei);
