Decompose the following tensor product of su(5) irreducible representations. Check that the dimensions multiply/add up and match

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Decompose the following tensor product of su(5) irreducible representations. Check that the dimensions multiply/add up and match correctly.

$$\begin{equation*}
(0,0,1,0) \otimes(1,0,0,0)=? \tag{6.429}
\end{equation*}$$

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