"Source: Text/Geometry/CrvHyp.text";
"Line: 1122";
"Date: Fri Sep 26 09:12:34 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/CrvHyp.text, line: 1122
// Example: H137E9 ()
print "Example: H137E9";
ei := GetEchoInput();
SetEchoInput(true);
P<x> := PolynomialRing(Rationals());
C := HyperellipticCurve(x^5+1); 
PointsAtInfinity(C);
Ambient(C);
pointAtInfinity := C![1,0,0];  // Entering the point by hand.
IsNonsingular(pointAtInfinity);
assert $1;
SetEchoInput(ei);
