"Source: Text/Ring/RngSer.text";
"Line: 1858";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/RngSer.text, line: 1858
// Example: H51E5 ()
print "Example: H51E5";
ei := GetEchoInput();
SetEchoInput(true);
P<t> := PowerSeriesRing(GF(101), 50);
PP<tt> := PowerSeriesRing(GF(101));
R<x> := PolynomialRing(PP);
U := UnramifiedExtension(P, x^2 + 2);
T := TotallyRamifiedExtension(U, x^2 + tt*x + tt); T;
Precision($1);
assert $1 eq 100;
ChangePrecision($2, 200);
ChangePrecision($1, 1000);
ChangePrecision($1, 20);      
FieldOfFractions(U);
FieldOfFractions(T);
SetEchoInput(ei);
