Labels and invariants for Dirichlet characters and their Galois orbits are computed using Magma code that was developed in conjunction with the paper Computing Classical Modular Forms [arXiv:2002.04717] by Alex J. Best, Jonathan Bober, Andrew R. Booker, Edgar Costa, John Cremona, Maarten Derickx, David Lowry-Duda, Min Lee, David Roe, Andrew V. Sutherland, and John Voight.
Computations for individual Conrey characters is performed using the efficient implementation available in Pari/GP.
Additional acknowledgments
Data computed by Alex Best, Jonathan Bober, David Lowry-Duda, and Andrew Sutherland.
The organization of Dirichlet characters into Galois orbits was implemented by Barinder Banwait.