Dataset of Maass forms of squarefree level computed via the Trace Formula

This is data of 33214 Maass forms of squarefree level \(N\) between \(2 \leq N \leq 105\). This data is complementary to the paper arxiv:2201.08760

Each Maass form has its own .txt with the following format:

Laplace eigenvalue, Error bound of Laplace eigenvalue

Level

0 or 1 (0 for even form, 1 for odd form)

Fricke sign

Fourier coefficient a_1(should be = 1), error bound

Fourier coefficient a_2, error bound

.

.

.

If the Fricke sign is 0 then it means the code didn't have enough precision to compute it. In this case, the a_n for \(gcd(n,N) > 1\) have been assigned zero as a placeholder. The Fourier coefficients a_n with \(gcd(n,N) = 1\) will be correct though.