Browsing Graph of Maass Forms

Maass forms of levels 100 to 1000 with $0 \leq R\leq 1$

The horizontal axis is the spectral parameter $R$ with the Laplace eigenvalue satisying $\lambda=1/4+R^2$. The vertical axis is the level $N$. Each point corresponds to a Maass form of weight 0 and trivial character on $\Gamma_0(N)$ with the color showing whether the symmetry is even or odd. For $N>100$ there are only results for prime level.

Examples of some ranges with complete data:

• $1\leq N\leq10, \, 0\leq R\leq 10$
• $N$ prime and $100\leq N \leq 250, \, 0\leq R\leq 2$
• $N$ prime and $100\leq N \leq 1000, \, 0\leq R\leq 1$

Clicking on a dot takes you to the homepage of the Maass form.