"Source: Text/Ring/FldNum.text";
"Line: 2322";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldNum.text, line: 2322
// Example: H36E13 ()
print "Example: H36E13";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := PolynomialRing(Integers());
K<y> := NumberField(x^4-420*x^2+40000);
z := y/2;
Norm(z), Trace(z);
MinimalPolynomial(z);
RepresentationMatrix(z);
P<t> := PolynomialRing(RationalField());
MinimalPolynomial(z);
SetEchoInput(ei);
