The Unrank command returns the r-th magma of order n.

$\mathrm{with}\left(\mathrm{Magma}\right)\:$

$\mathrm{Unrank}\left(2\,3\right)$

$\left[\begin{array}{ccc}1& 1& 1\\ 1& 1& 1\\ 1& 1& 2\end{array}\right]$

$\mathrm{Unrank}\left(12\,3\right)$

$\left[\begin{array}{ccc}1& 1& 1\\ 1& 1& 1\\ 2& 1& 3\end{array}\right]$

The Magma[Unrank] command was introduced in Maple 15.

For more information on Maple 15 changes, see Updates in Maple 15.