Three Poisson's ratios \nu_{12}, \nu_{23}, and \nu_{13} in that particular order.
The other Poisson's ratios \nu_{21}, \nu_{32}, and \nu_{31} are calculated by the symmetry property as \nu_{ji} E_i = \nu_{ij} E_j (no sum).
They also must fulfil following two properties: $
|\nu_{ij}| < \sqrt({E_i \over E_j}),
$
and
$
1 - \nu_{12}\nu_{21} - \nu_{23}\nu_{32} - \nu_{13}\nu_{31} - \nu_{12}\nu_{23}\nu{31} - \nu_{32}\nu_{21}\nu{13} > 0.
$