"Source: Text/Ring/RngLocA.text";
"Line: 392";
"Date: Fri Sep 26 12:10:11 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/RngLocA.text, line: 392
// Example: H50E6 ()
print "Example: H50E6";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Integers());
L := LocalField(pAdicField(7, 50), x^6 - 49*x^2 + 686);
A, am := AutomorphismGroup(L);
am(Random(A));
$1(L.1);
FixedField(L, A);
InertiaGroup(L);
FixedField(L, InertiaGroup(L));
SetEchoInput(ei);
