$Use Stokes Theorem to compuet a surface integral$

Let $F=y i- x j +zx^3y^2 k$. Evaluate
\[\iint_S (\nabla \times F) \cdot n dA,\]
where $S$ is the surface defined by $x^2+y^2+z^2=1,$ $z \leq 0$.

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