Lemniscate of Bernoulli

Algebraic Equation: x4+2x2y2+y4-2a2x2+2a2y2 = 0

Degree: 4

Singularities: [0:1:0], [i:1:0], [-i:1:0]

Multiplicity: 2, 2, 2

Branching Number of each Singularity: 2, 2, 2

Genus: 0

Parameterized Equation:  x = (4√2a5t4-√2a)/(4a4t4+12a2t2+1), y = (4√2a4t3-a2t)/(4a4t4+12a2t2+1)

Delta Invariant: 3

Milnor Number: 1

Tjurina Number: 1





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