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Testing LaTeX

e^{i \pi} +1=0

\nabla \times E = \biggl ( \frac{\partial E_z}{\partial y} - \frac{\partial E_y} {\partial z} \biggr ) \vec x + \biggl ( \frac{\partial E_x}{\partial z} - \frac{\partial E_z}{\partial x} \biggr ) \vec y + \biggl ( \frac{\partial E_y}{\partial x} - \frac{\partial E_x}{\partial y} \biggr ) \vec z

\begin{pmatrix} a & b & c & d & e \\ x & \hdotsfor{3} & z \end{pmatrix}

\Psi_0 &=& -C_{abcd} Y_0^a m^b Y_1^c m^d e^{-2i\gamma} \\ \Psi_4 &=& -C_{abcd} Y_1^a \bar{m}^b Y_1^c \bar{m}^d e^{2i\gamma}

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