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Symplectic matrix

In linear algebra, a symplectic maxtrix is a 2n by 2n complex matrix A such that A^tJA = J,
J beeing the 2n by 2n skew-symmetric matrix:

<math>J =

\begin{bmatrix} Z & E_n \\ -E_n & Z \\ \end{bmatrix} </math>

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