Sure,
degenerate solutions:
\begin{equation} ((1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)), ((1, 1), (1, 2), (3, 1), (2, 1), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3)), ((1, 1), (1, 2), (3, 2), (2, 1), (2, 2), (3, 1), (2, 3), (1, 3), (3, 3)), ((1, 1), (2, 1), (1, 3), (1, 2), (2, 2), (3, 2), (3, 1), (2, 3), (3, 3)), ((1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (2, 3), (1, 3), (3, 2), (3, 3)), ((1, 1), (2, 3), (1, 3), (3, 2), (2, 2), (1, 2), (3, 1), (2, 1), (3, 3)), ((1, 1), (3, 1), (2, 1), (1, 3), (2, 2), (2, 3), (1, 2), (3, 2), (3, 3)) \end{equation}
non degenerate solutions:
\begin{equation} ((1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3)), ((1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2), (2, 3), (1, 3), (3, 3)), ((1, 1), (2, 1), (3, 1), (1, 2), (2, 3), (3, 3), (1, 3), (2, 2), (3, 2)), ((1, 1), (2, 1), (3, 1), (1, 2), (3, 2), (2, 2), (1, 3), (3, 3), (2, 3)), ((1, 1), (2, 1), (3, 1), (1, 2), (3, 3), (2, 3), (1, 3), (3, 2), (2, 2)), ((1, 1), (2, 1), (3, 1), (1, 3), (2, 2), (3, 2), (1, 2), (2, 3), (3, 3)), ((1, 1), (2, 1), (3, 1), (1, 3), (2, 3), (3, 3), (1, 2), (2, 2), (3, 2)), ((1, 1), (2, 1), (3, 1), (1, 3), (3, 2), (2, 2), (1, 2), (3, 3), (2, 3)), ((1, 1), (2, 1), (3, 1), (1, 3), (3, 3), (2, 3), (1, 2), (3, 2), (2, 2)), ((1, 1), (2, 1), (3, 1), (3, 2), (2, 2), (1, 2), (1, 3), (2, 3), (3, 3)), ((1, 1), (2, 1), (3, 1), (3, 3), (1, 3), (2, 3), (2, 2), (3, 2), (1, 2)), ((1, 1), (2, 1), (3, 2), (1, 2), (2, 2), (3, 1), (1, 3), (2, 3), (3, 3)), ((1, 1), (2, 1), (3, 2), (1, 2), (2, 2), (3, 1), (2, 3), (1, 3), (3, 3)), ((1, 1), (2, 3), (3, 1), (1, 2), (2, 2), (3, 2), (1, 3), (2, 1), (3, 3)), ((1, 1), (2, 3), (3, 1), (3, 2), (2, 2), (1, 2), (1, 3), (2, 1), (3, 3)), ((1, 1), (2, 3), (3, 2), (1, 3), (2, 2), (3, 1), (1, 2), (2, 1), (3, 3)), ((1, 1), (3, 1), (2, 1), (1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3)), ((1, 1), (3, 1), (2, 1), (1, 2), (2, 3), (3, 3), (1, 3), (2, 2), (3, 2)), ((1, 1), (3, 1), (2, 1), (1, 2), (3, 2), (2, 2), (1, 3), (3, 3), (2, 3)), ((1, 1), (3, 1), (2, 1), (1, 2), (3, 3), (2, 3), (1, 3), (3, 2), (2, 2)), ((1, 1), (3, 1), (2, 1), (1, 3), (2, 2), (3, 2), (1, 2), (2, 3), (3, 3)), ((1, 1), (3, 1), (2, 1), (1, 3), (2, 3), (3, 3), (1, 2), (2, 2), (3, 2)), ((1, 1), (3, 1), (2, 1), (1, 3), (3, 2), (2, 2), (1, 2), (3, 3), (2, 3)), ((1, 1), (3, 1), (2, 1), (1, 3), (3, 3), (2, 3), (1, 2), (3, 2), (2, 2)), ((1, 1), (3, 1), (2, 1), (3, 2), (2, 2), (1, 2), (2, 3), (1, 3), (3, 3)), ((1, 1), (3, 3), (2, 2), (1, 2), (3, 1), (2, 3), (1, 3), (3, 2), (2, 1)), ((1, 2), (2, 2), (3, 1), (1, 1), (2, 1), (3, 2), (1, 3), (2, 3), (3, 3)), ((1, 2), (2, 2), (3, 1), (1, 1), (2, 1), (3, 2), (2, 3), (1, 3), (3, 3)), ((1, 2), (2, 2), (3, 2), (1, 1), (2, 1), (3, 1), (1, 3), (2, 3), (3, 3)), ((1, 2), (2, 2), (3, 2), (1, 1), (2, 1), (3, 1), (2, 3), (1, 3), (3, 3)), ((1, 2), (2, 2), (3, 2), (1, 3), (2, 3), (3, 3), (1, 1), (2, 1), (3, 1)), ((1, 3), (2, 1), (3, 3), (1, 2), (2, 2), (3, 2), (1, 1), (2, 3), (3, 1)), ((1, 3), (2, 1), (3, 3), (3, 2), (2, 2), (1, 2), (1, 1), (2, 3), (3, 1)), ((1, 3), (2, 3), (3, 3), (1, 1), (2, 1), (3, 1), (1, 2), (2, 2), (3, 2)), ((1, 3), (2, 3), (3, 3), (1, 2), (2, 2), (3, 2), (1, 1), (2, 1), (3, 1)), ((1, 3), (2, 3), (3, 3), (3, 2), (2, 2), (1, 2), (1, 1), (2, 1), (3, 1)), ((2, 1), (1, 1), (3, 1), (2, 2), (1, 2), (3, 2), (1, 3), (2, 3), (3, 3)), ((2, 1), (1, 1), (3, 1), (2, 2), (1, 2), (3, 2), (2, 3), (1, 3), (3, 3)), ((2, 1), (1, 1), (3, 2), (2, 2), (1, 2), (3, 1), (1, 3), (2, 3), (3, 3)), ((2, 1), (1, 1), (3, 2), (2, 2), (1, 2), (3, 1), (2, 3), (1, 3), (3, 3)), ((2, 1), (3, 1), (1, 1), (2, 2), (3, 2), (1, 2), (2, 3), (3, 3), (1, 3)), ((2, 2), (1, 2), (3, 1), (2, 1), (1, 1), (3, 2), (1, 3), (2, 3), (3, 3)), ((2, 2), (1, 2), (3, 1), (2, 1), (1, 1), (3, 2), (2, 3), (1, 3), (3, 3)), ((2, 2), (1, 2), (3, 2), (1, 3), (3, 3), (2, 3), (3, 1), (2, 1), (1, 1)), ((2, 2), (1, 2), (3, 2), (2, 1), (1, 1), (3, 1), (1, 3), (2, 3), (3, 3)), ((2, 2), (1, 2), (3, 2), (2, 1), (1, 1), (3, 1), (2, 3), (1, 3), (3, 3)), ((2, 2), (3, 1), (1, 3), (2, 1), (3, 3), (1, 2), (2, 3), (3, 2), (1, 1)), ((2, 2), (3, 2), (1, 2), (2, 3), (3, 3), (1, 3), (2, 1), (3, 1), (1, 1)), ((2, 3), (1, 2), (3, 1), (2, 1), (1, 3), (3, 2), (2, 2), (1, 1), (3, 3)), ((2, 3), (3, 3), (1, 3), (1, 2), (2, 2), (3, 2), (3, 1), (1, 1), (2, 1)), ((2, 3), (3, 3), (1, 3), (2, 1), (3, 1), (1, 1), (2, 2), (3, 2), (1, 2)), ((3, 1), (1, 1), (2, 1), (3, 2), (1, 2), (2, 2), (3, 3), (1, 3), (2, 3)), ((3, 1), (2, 1), (1, 1), (1, 2), (2, 2), (3, 2), (3, 3), (2, 3), (1, 3)), ((3, 1), (2, 1), (1, 1), (3, 2), (2, 2), (1, 2), (3, 3), (2, 3), (1, 3)), ((3, 1), (2, 3), (1, 1), (1, 2), (2, 2), (3, 2), (3, 3), (2, 1), (1, 3)), ((3, 1), (2, 3), (1, 1), (3, 2), (2, 2), (1, 2), (3, 3), (2, 1), (1, 3)), ((3, 2), (1, 2), (2, 2), (2, 1), (3, 1), (1, 1), (1, 3), (2, 3), (3, 3)), ((3, 2), (1, 2), (2, 2), (3, 3), (1, 3), (2, 3), (3, 1), (1, 1), (2, 1)), ((3, 2), (2, 1), (1, 3), (3, 3), (2, 2), (1, 1), (3, 1), (2, 3), (1, 2)), ((3, 3), (1, 2), (2, 1), (3, 2), (1, 1), (2, 3), (3, 1), (1, 3), (2, 2)), ((3, 3), (1, 3), (2, 3), (3, 1), (1, 1), (2, 1), (3, 2), (1, 2), (2, 2)), ((3, 3), (2, 1), (1, 3), (1, 2), (2, 2), (3, 2), (3, 1), (2, 3), (1, 1)), ((3, 3), (2, 1), (1, 3), (3, 2), (2, 2), (1, 2), (3, 1), (2, 3), (1, 1)), ((3, 3), (2, 3), (1, 3), (1, 2), (2, 2), (3, 2), (3, 1), (2, 1), (1, 1)), ((3, 3), (2, 3), (1, 3), (2, 1), (1, 1), (3, 1), (1, 2), (3, 2), (2, 2)), ((3, 3), (2, 3), (1, 3), (3, 2), (2, 2), (1, 2), (3, 1), (2, 1), (1, 1)) \end{equation}
Best Regards, Pablo
