"Source: Text/Geometry/Scheme.text";
"Line: 6621";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Scheme.text, line: 6621
// Example: H122E51 ()
print "Example: H122E51";
ei := GetEchoInput();
SetEchoInput(true);
P<x,y,z> := ProjectiveSpace(GF(5),2);      
phi := Automorphism(P,[x+y,y,z]);
M := Matrix(phi);
M;
Automorphism(P,M) eq phi;
assert $1;
G,m := AutomorphismGroup(P);     
G;
m;
phi eq m(Transpose(M));
assert $1;
Transpose(phi @@ m);
Aut(P);
Aut(P) eq Codomain(m);
assert $1;
SetEchoInput(ei);
