The label of a newform $f\in S_k^{\rm new}(N,\chi)$ has the format $$N.k.a.x$$, where
For each embedding of the coefficient field of $f$ into the complex numbers, the corresponding modular form over $\C$ has a label of the form $$N.k.a.x.n.i$$, where
• $$n$$ determines the Conrey label $$N.n$$ of the Dirichlet character $$\chi$$;
• $$i$$ is an integer ranging from 1 to the relative dimension of the newform that distinguishes embeddings with the same character $\chi$.