"Source: Text/Ring/RngLoc.text";
"Line: 3345";
"Date: Fri Sep 26 14:29:19 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Ring/RngLoc.text, line: 3345
// Example: H49E22 ()
print "Example: H49E22";
ei := GetEchoInput();
SetEchoInput(true);
Z2 := pAdicRing(2, 25);
R<x> := PolynomialRing(Z2);
f := &* [ x - i : i in [1..8] ];
F2 := ResidueClassField(Z2);
Factorization( PolynomialRing(F2)!f );
h1 := x^4;
h2 := (x+1)^4;
h := HenselLift(f, [h1, h2]);
h[1], h[2], f - h[1]*h[2];
SetEchoInput(ei);
