Remark 4.107 . [02SP]

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Remark 4.107.

If $\dim(\Lambda^{\ast})<k$ , then both sides of (4.106) are zero. If $\dim(\Lambda^{\ast})=k$ , then $M(\Lambda)=M(\Lambda^{\ast})$ and $\operatorname{vol}_{M(\Lambda)}(\Lambda^{\ast})$ agrees with the lattice volume of $\Lambda^{\ast}$ .