A complete classiﬁcation of the individual types of singular points is given for irreducible real sextic curves. This classiﬁcation is derived by using the computer algebra system Maple. There are 191 types of singular points for real irreducible sextic curves. We clarify that the classiﬁcation is based on computing just enough of the Puiseux expansion to separate the branches. A signiﬁcant portion of the proof consists of a sequence of large symbolic computations that can be done nicely using Maple.
Weinberg, David A. and Willis, Nicholas J., "Singular Points of Real Sextic Curves I" (2010). Faculty Publications - Department of Mathematics and Applied Science. 2.