"Source: Text/Geometry/CrvHyp.text";
"Line: 8405";
"Date: Fri Sep 26 09:12:34 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/CrvHyp.text, line: 8405
// Example: H137E52 ()
print "Example: H137E52";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(RationalField());
f := x^6+x^3+13;
C := HyperellipticCurve(f);
time GeometricAutomorphismGroup(C);
f := x^8-1;
C1 := HyperellipticCurve(f);
GeometricAutomorphismGroup(C1);
aut := AutomorphismGroup(C);
aut;
Qbar := AlgebraicClosure();
Cbar := BaseChange(C, Qbar);
time autbar := AutomorphismGroup(Cbar);
autbar;
IdentifyGroup(autbar);
SetEchoInput(ei);
