"Source: Text/Geometry/Crv.text";
"Line: 1774";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Crv.text, line: 1774
// Example: H124E6 ()
print "Example: H124E6";
ei := GetEchoInput();
SetEchoInput(true);
A<x,y> := AffineSpace(Rationals(),2);
C := Curve(A,x^2-y^3);
p := Origin(A);
IsCusp(C,p);
assert $1;
IsDoublePoint(C,p);
assert $1;
IsReduced(TangentCone(C,p));
assert not $1;
D := Curve(A,x^2 - y^3 - y^2);
IsAnalyticallyIrreducible(D,p);
assert not $1;
IsNode(D,p);
assert $1;
SetEchoInput(ei);
