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The label complex embedded holomorphic cusp form $$f$$ is $$N.k.a.x.c.j$$ (sometimes shortened as $$a.j$$ ), where

• $$N$$ is the level,

• $$k$$ is the weight,

• $$N.a$$ is the label of the Galois orbit of the Dirichlet character,

• $$x$$ is the Hecke Galois orbit label,

• $$N.c$$ is the Conrey label for the character corresponding to the embedding, and

• $$j$$ is the index for the embedding within those with the same Dirichlet character, these are ordered by the vector $\iota(a_n)$, where we order the complex numbers first by their real part and then by their imaginary part.

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• Review status: reviewed
• Last edited by Edgar Costa on 2019-03-21 15:51:35
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