"Source: Text/Ring/FldFunG.text";
"Line: 2451";
"Date: Fri Sep 26 13:15:42 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/FldFunG.text, line: 2451
// Example: H46E20 ()
print "Example: H46E20";
ei := GetEchoInput();
SetEchoInput(true);
Q:=Rationals();
Qt<t>:=PolynomialRing(Q);
Qtx<x>:=PolynomialRing(Qt);
K:=FunctionField(x^4-t^3);
L:=Subfields(K);
#L;
assert #L eq 2;
L:=L[2][1]; L;
assert Degree(L) eq 2;
IsSubfield(L,K);
assert $1;
LL:=FunctionField(x^2-t);
IsIsomorphicOverQt(LL,L); 
assert $1;
SetEchoInput(ei);
