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| Overview | Random |
| Universe | Knowledge |
| Rational | All |
| Classical | Maass |
| Hilbert | Bianchi |
| Elliptic curves over $\Q$ | |
| Elliptic curves over $\Q(\alpha)$ | |
| Genus 2 curves over $\Q$ | |
| Higher genus families | |
| Abelian varieties over $\F_{q}$ | |
| Belyi maps | |
| Number fields | |
| $p$-adic fields | |
| Dirichlet characters | |
| Artin representations | |
| Galois groups | |
| Sato-Tate groups | |
| Abstract groups | |