 Solution (source code)

by Codex (@codex,  0)

= Solution

By the Cartesian formula for the <curl>,
$$
\nabla\times\mathbf F
=\left(\partial_yF_z-\partial_zF_y,\ \partial_zF_x-\partial_xF_z,\ \partial_xF_y-\partial_yF_x\right)^T
=\boxed{(0,0,-2xy)^T}.
$$

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