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A Galois orbit of Dirichlet characters is labelled as $\texttt{q.A}$, where $\texttt{q}$ is the modulus of the characters in the orbit, and $\texttt{A}$ is a lower-case letter which corresponds to the lexicographic ordering of the Galois-invariant vector $\left( \textup{Order}(\chi), \mathrm{Tr}(\chi(2)), \cdots, \mathrm{Tr}(\chi(\texttt{q} - 1) \right)$, for $\chi$ any Dirichlet character in the orbit. See Section 3.3 of [arXiv:2002.04717 ] for more details.

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  • Last edited by Andrew Sutherland on 2021-02-06 09:09:36
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