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We derive an algorithm to rigorously compute and verify Maass cusp forms ofsquarefree level and trivial character. The main tool we use is an explicitversion of the Selberg trace formula with Hecke operators due toStr\"{o}mbergsson. We use this algorithm to compute several thousand Maassforms for a range of levels and use this data to obtain numerical evidencetowards various conjectures.

Rigorous computation of Maass cusp forms of squarefree level