"Source: Text/Ring/RngOrd.text";
"Line: 8698";
"Date: Fri Sep 26 14:51:59 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/RngOrd.text, line: 8698
// Example: H39E38 ()
print "Example: H39E38";
ei := GetEchoInput();
SetEchoInput(true);
     Ax<x> := PolynomialRing(Integers());
     f := x^5 + 343*x^4 + 49*x^3 + 343*x^2 + 7*x + 6;
     L := NumberField(f);
     p := 7;
     Montes(L,p);
Ideal(L`PrimeIdeals[p,1]);
OMRepresentation(L, [7, 1 + L.1 + L.1^2 + L.1^3 + L.1^4]);
Ideal($1);                                                
SetEchoInput(ei);
