Lemma 6.8 . [017S]

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Lemma 6.8.

With notation as above, we have, for all $\alpha$ , $\beta$ :

\operatorname{Res}_{Y^{\prime\prime}_{\alpha\beta}}({\mathcal{L}}^{\prime\prime\#})=\gcd(m,b_{\sigma})^{-2}\rho^{*}\operatorname{Res}_{Y}({\mathcal{L}}^{\#}).