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Magma

Utilities and extensions of various Magma intrinsics plus intrinsics for efficiently working with Conrey characters and their Galois orbits, integrated with Magma's built-in support for Dirichlet characters, an intrinsics for working more efficiently with subgroups of GL(2,Z/NZ).

You can create the Dirichlet character with Conrey label 13.3 in the Galois orbit with LMFDB label 13.c using either chi:=DirichletCharacter("13.2"); or chi:=DirichletCharacter("13.c"); and you can recover these labels using ConreyLabel(chi); or CharacterOrbitLabel(chi);.

To use this package add AttachSpec("somewhere/magma.spec"); to your Magma startup script.