Cayley’s Sextic

Algebraic Equation: -4a3x3-15a2x4-42a2x2y2-27a2y4-12ax5-24ax3y2-12axy4+4x6+12x4y2+12x2y4+4y6 = 0

Degree: 6

Singularities: [0:0:1], [-a/2:0:1], [i:1:0], [-i:1:0]

Multiplicity: 3, 2, 3, 3

Branching Number of each Singularity: 2, 1, __, __

Genus: 6

Delta Invariant: 4

Milnor Number: 6

Tjurina Number: 7





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