Reliability of rigorous Maass forms data (awaiting review)

Maass form data, in the LMFDB and elsewhere, is inherently approximate. The data are decimal approximations to numbers which (in general) are conjectured to be transcendental and not expressible in terms of well-known constants.

In the LMFDB, each rigorous Maass form is proven to be an accurate approximation to a true Maass form. Further, rigorous Maass forms are proven to be consecutive, i.e. there are no "missing" Maass forms with eigenvalues between known rigorous Maass forms.

Ranges of Maass forms

The database contains data for the Maass forms on a group with a range of eigenvalues. For example, the Maass forms on $\Gamma_0(5)$ and trivial character, for $0