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a) $ m_s=\pm1/2$, thus it can't be zero. b)$-\ell\leq m_\ell\leq \ell$ and in this case$ -1\leq m_\ell\leq 1,4$ so it is invalid. c) $0\leq\ell\leq n-1$, in this case $0\leq\ell\leq 2$
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