# Algebraic Numbers and Number Fields#

## Number Fields#

## Elements#

## Morphisms#

## Orders, Ideals and Ideal Classes#

- Orders in number fields
- Ideals of number fields
- Ideals of relative number fields
- Ideals of (Not Necessarily Maximal) Orders in Number Fields
- Class groups of number fields
- Units and \(S\)-unit groups of number fields
- Solver for the \(S\)-unit equation \(x + y = 1\)
- Small primes of degree one
- \(p\)-Selmer groups of number fields