Algebraic Equation: x3+xy2+3ax2-ay2 = 0
Degree: 3
Singularities: [0:0:1]
Multiplicity: 2
Branching Number: 2
Genus: 0
Parameterized Equation: x=a(t2-3)/(t2+1), y=at(t2-3)/(t2+1)
Delta Invariant: 1
Milnor Number: 1
Tjurina Number: 1
Projective Plane: 1 node
Transformation: Trisectrix of Maclaurin → Folium of Descartes
x = (1/(∛4))X + (1/(∛4))Y
y = (-√3/(∛4))X + (√3/(∛4))Y
z = (-1/(∛4))Z
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