"Source: Text/Geometry/Crv.text";
"Line: 3933";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Crv.text, line: 3933
// Example: H124E25 ()
print "Example: H124E25";
ei := GetEchoInput();
SetEchoInput(true);
P<x,y,z> := ProjectiveSpace(Rationals(),2);
C := Curve(P,x^4 + 2*x*y^2*z + 5*y*z^3);
F<a,b> := FunctionField(C);
f := a/b;
f;
p := C ! [0,0,1];
Evaluate(f,p);
Valuation(f,p);
assert $1 eq -3;
vp := Valuation(p);
vp(a), vp(b);
UniformizingParameter(p);
SetEchoInput(ei);
