## Code and Data

### Trace formula Maass form code

This code is complementary to the paper arxiv:2201.08760: TFmaass_code.tar.gz

The Maass form data can be found here: sqrfree_maassdata.tar.gz(1.5GB)

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,level)>1 have been assigned zero as a placeholder. The Fourier coefficients a_n with gcd(n,level) = 1 will be correct though