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By a result of Hui-Li Lihttps://arxiv.org/abs/math/0605133, the fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus of $M_{red}$ from the fundamental group of $M$.
By a result of Hui-Lihttps://arxiv.org/abs/math/0605133, the fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus of $M_{red}$ from the fundamental group of $M$.
By a result of Hui Lihttps://arxiv.org/abs/math/0605133, the fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus of $M_{red}$ from the fundamental group of $M$.
By a result of Hui-Li https://arxiv.org/abs/math/0605133. The, the fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus of $M_{red}$ from the fundamental group of $M$.
By a result of Hui-Li https://arxiv.org/abs/math/0605133. The fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus from the fundamental group of $M$.
By a result of Hui-Li https://arxiv.org/abs/math/0605133, the fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus of $M_{red}$ from the fundamental group of $M$.
By a result of Hui-Li https://arxiv.org/abs/math/0605133. The fundamental groups of $M_{red}$ and $M$ are isomorphic, so one can deduce the genus from the fundamental group of $M$.
