Microstate table for a d3 electronic configuration.

This was just a test to see if I could put LaTeX formatted tables into this webpage MathJax example $$\begin{array}{|c | c | c | c | c|} \hline \begin{array}{c}\end{array} & \frac{3}{2} & \frac{1}{2} & -\frac{1}{2} & -\frac{3}{2} \\ \hline 5 & \begin{array}{c}\end{array} & ^{2}H\begin{array}{c}^{2}H(2^+,2^-,1^+)\end{array} & \begin{array}{c}(1^-,2^-,2^+)\end{array} & \begin{array}{c}\end{array} \\ \hline 4 & \begin{array}{c}\end{array} & ^{2}G\begin{array}{c}^{2}H(2^+,2^-,0^+)\\^{2}G(2^+,1^+,1^-)\end{array} & \begin{array}{c}(0^-,2^-,2^+)\\(1^-,2^-,1^+)\end{array} & \begin{array}{c}\end{array} \\ \hline 3 & ^{4}F\begin{array}{c}^{4}F(2^+,1^+,0^+)\end{array} & ^{2}F\begin{array}{c}^{2}H(2^+,2^-,-1^+)\\^{2}G(2^+,1^+,0^-)\\^{4}F(2^+,1^-,0^+)\\^{2}F(2^-,1^+,0^+)\end{array} & \begin{array}{c}(1^-,2^-,0^+)\\(0^-,2^-,1^+)\\(0^-,1^-,2^+)\\(-1^-,2^-,2^+)\end{array} & \begin{array}{c}(0^-, 1^-, 2^-)\end{array} \\ \hline 2 & \begin{array}{c}^{4}F(2^+,1^+,-1^+)\end{array} & ^2{D}\begin{array}{c}^{2}H(2^+,2 ^-,-2^+)\\^{2}G(2^+,1^+,-1^+)\\^{4}F(2^+,1^-,-1^+)\\^{2}F(2^-,1^+,-1^+)\\^{2}D(1^+,1^-,0^+)\\^{2}D(2^+,0^+,0^-)\end{array} & ^{2}D\begin{array}{c}(1^-,2^-,-1^+)\\(0^-,2^-,0^+).\\(0^-,1^-,1^+)\\(-1^-, 2^-, 1^+)\\(-1^-, 1^-, 2^+)\\(-2^-, 2^-, 2^+)\end{array} & \begin{array}{c}(-1^-, 1^-, 2^-)\end{array} \\ \hline 1 & ^{4}P\begin{array}{c}(2^+, 1^+, -2 ^+)\\(2^+, 0^+, -1 ^+)\end{array} & ^{2}P\begin{array}{c}(2^+, 1^+, -2 ^-)\\(2^+, 1^-, -2 ^+)\\(2^+, 0^+, -1 ^-)\\(2^+, 0^-, -1 ^+)\\(2^-, 1^+, -2 ^+)\\(2^-, 0^+, -1 ^+)\\(1^+, 1^-, -1 ^+)\\(1^+, 0^+, 0^-)\end{array} & \begin{array}{c}( 2^+, 1^-, -2 ^-)\\(2^+, 0^-, -1 ^-)\\(2^-, 1^+, -2 ^-)\\(2^-, 1^-, -2 ^+)\\(2^-, 0^+, -1 ^-)\\(2^-, 0^-, -1 ^+)\\(1^+, 1^-, -1 ^-)\\(1^-, 0^+, 0^-)\end{array} & \begin{array}{c}(2^-, 1^-, -2 ^-)\\(2^-, 0^-, -1 ^-)\end{array} \\ \hline 0 & \begin{array}{c}(2^+, 0^+, -2 ^+)\\(1^+, 0^+, -1 ^+)\end{array} & \begin{array}{c}( 2^+, 0^+, -2 ^-)\\(2^+, 0^-, -2 ^+)\\(2^+, -1 ^+, -1 ^-)\\(2^-, 0^+, -2 ^+)\\(1^+, 1^-, -2 ^+)\\(1^+, 0^+, -1 ^-)\\(1^+, 0^-, -1 ^+)\\(1^-, 0^+, -1 ^+)\end{array} & \begin{array}{c}( 2^+, 0^-, -2 ^-)\\(2^-, 0^+, -2 ^-)\\(2^-, 0^-, -2 ^+)\\(2^-, -1 ^+, -1 ^-)\\(1^+, 1^-, -2 ^-)\\(1^+, 0^-, -1 ^-)\\(1^-, 0^+, -1 ^-)\\(1^-, 0^-, -1 ^+)\end{array} & \begin{array}{c} (2^-, 0^-, -2 ^-)\\(1^-, 0^-, -1 ^-)\end{array} \\ \hline -1 & \begin{array}{c} (2^+, -1 ^+, -2 ^+)\\(1^+, 0^+, -2 ^+)\end{array} & \begin{array}{c} (2^+, -1 ^+, -2 ^-)\\(2^+, -1 ^-, -2 ^+)\\(2^-, -1 ^+, -2 ^+)\\(1^+, 0^+, -2 ^-)\\(1^+, 0^-, -2 ^+)\\(1^+, -1 ^+, -1 ^-)\\(1^-, 0^+, -2 ^+)\\(0^+, 0^-, -1 ^+)\end{array} & \begin{array}{c}(2^+, -1 ^-, -2 ^-)\\(2^-, -1 ^+, -2 ^-)\\(2^-, -1 ^-, -2 ^+)\\(1^+, 0^-, -2 ^-)\\(1^-, 0^+, -2 ^-)\\(1^-, 0^-, -2 ^+)\\(1^-, -1 ^+, -1 ^-)\\(0^+, 0^-, -1 ^-)\end{array} & \begin{array}{c}(2^-, -1 ^-, -2 ^-)\\(1^-, 0^-, -2 ^-)\end{array} \\ \hline -2 & \begin{array}{c}(1^+, -1 ^+, -2 ^+)\end{array} & \begin{array}{c}(2^+, -2 ^+, -2 ^-)\\(1^+, -1 ^+, -2 ^-)\\(1^+, -1 ^-, -2 ^+)\\(1^-, -1 ^+, -2 ^+)\\(0^+, 0^-, -2 ^+)\\(0^+, -1 ^+, -1 ^-)\end{array} & \begin{array}{c}(2^-, -2 ^+, -2 ^-)\\(1^+, -1 ^-, -2 ^-)\\(1^-, -1 ^+, -2 ^-)\\(1^-, -1 ^-, -2 ^+)\\(0^+, 0^-, -2 ^-)\\(0^-, -1 ^+, -1 ^-)\end{array} & \begin{array}{c}( 1^-, -1 ^-, -2 ^-)\end{array} \\ \hline -3 & \begin{array}{c}(0^+, -1 ^+, -2 ^+)\end{array} & \begin{array}{c}(1^+, -2 ^+, -2 ^-)\\ (0^+, -1 ^+, -2 ^-)\\(0^+, -1 ^-, -2 ^+)\\(0^-, -1 ^+, -2 ^+)\end{array} & \begin{array}{c}(1^-, -2 ^+, -2 ^)\\(0^+, -1 ^-, -2 ^-)\\(0^-, -1 ^+, -2 ^-)\\(0^-, -1 ^-, -2 ^+)\end{array} & \begin{array}{c}(0^-, -1 ^-, -2 ^-)\end{array} \\ \hline -4 & \begin{array}{c}\end{array} & \begin{array}{c}(0^+, -2 ^+, -2 ^-)\\ (-1 ^+, -1 ^-, -2 ^+)\end{array} & \begin{array}{c}(0^+, (-2)^+, (-2)^-)\\ ((-1)^+, (-1)^-, (-2)^+)\end{array} & \begin{array}{c}\end{array} \\ \hline -5 & \begin{array}{c}\end{array} & \begin{array}{c}(-1 ^+, -2 ^+, -2 ^-)\end{array} & \begin{array}{c}( -1 ^-, -2 ^+, -2 ^-) \end{array} & \begin{array}{c}\end{array} \\ \hline \end{array}$$

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