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The Modular Forms Explorer

# The Modular Forms Explorer

### Hecke Eigenvalue Notation

This is a MAGMA-readable 3-tuple. The first entry is a polynomial f(x) of degree n which defines the degree n field Kf   generated by the eigenvalues ap. The second entry is a sequence of sequences of length n each of which defines ap on a basis for Kf. The third entry defines an embedding of that basis for Kf   into the field Q[x]/(f(x)).