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The Galois orbits within each space of newforms $S^{\rm new}_k(N,[\chi])$ are labeled using small roman letters: $a, b, c, \ldots, z, aa, ba, \ldots$, with orbits ordered according to the lexicographical ordering of their integer trace sequences $({\rm tr}_{K/\Q}(a_1),\ {\rm tr}_{K/\Q}(a_2), {\rm tr}_{K\Q}(a_3),\ \ldots)$ obtained by taking traces of Hecke eigenvalues $a_1,a_2,\ldots$ from the coefficient field $K$ down to $\Q$.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2019-03-01 10:33:11
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