The zero set of the quintic $(x^2+y^2)(x^3-3xy^2)-3x^2y+y^3$ is the curve $C_{3,i}$ · Prove2Me

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The zero set of the quintic $(x^2+y^2)(x^3-3xy^2)-3x^2y+y^3$ is the curve $C_{3,i}$ · Prove2Me