Completeness of Siegel modular form data (awaiting review)

The Siegel modular form database currently contains information for all newforms $ f \in S_{k,j}^{\text{new}}(\Gamma_F(N)) $ of level $ N \ge 1 $, weight $(k,j) \ge (3,0)$ and trivial character, for which any of the following hold:

• $\Gamma_F = K$ is the paramodular family, $ (k,j) = (3,0) $, $N < 1000$ and $N$ admits a prime divisor $p \parallel N$.