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The projective linear group $\pgl(\comp,4)$ acts on cubic surfaces,considered as points of $\mathbb{P}_{\mathbb{C}}^{19}$. We compute the degreeof the $15$-dimensional projective variety given by the Zariski closure of theorbit of a general cubic surface. The result, 96120, is obtained using methodsfrom numerical algebraic geometry.

96120: The degree of the linear orbit of a cubic surface