"Source: Text/Geometry/Scheme.text";
"Line: 5985";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Scheme.text, line: 5985
// Example: H122E42 ()
print "Example: H122E42";
ei := GetEchoInput();
SetEchoInput(true);
k := Rationals();
P2<X,Y,Z> := ProjectiveSpace(k,2);
P4<a,b,c,d,e> := ProjectiveSpace(k,4);
C := Curve(P2, X^5 + X*Y^3*Z + Z^5);
f := map< P2 -> P4 | [Y*Z, X*Y, Z^2, X*Z, X^2] >;
S := Image(f,C,2);
S;
Dimension(S);
assert $1 eq 2;
f(C);
SetEchoInput(ei);
