Enumeration yields 22 real / 12 complex types of multiplicity-6 singularities, 174 / 92 of multiplicity 5, and at least 182 / 92 of multiplicity 4 on irreducible septic curves.
Walker, Algebraic Curves, Princeton University Pr ess, New Jer- sey
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Singular Points of High Multiplicity for Septic Curves
Enumeration yields 22 real / 12 complex types of multiplicity-6 singularities, 174 / 92 of multiplicity 5, and at least 182 / 92 of multiplicity 4 on irreducible septic curves.