Algebraic Numbers and Number Fields# Algebraic Number Fields# Number Fields Base class for all number fields Relative Number Fields Number Field Elements Optimized Quadratic Number Field Elements Splitting fields of polynomials over number fields Galois Groups of Number Fields Elements of bounded height in number fields Morphisms# Morphisms between number fields Sets of homomorphisms between number fields Embeddings into ambient fields Structure maps for number fields Helper classes for structural embeddings and isomorphisms of number fields Orders, Ideals, Ideal Classes# Orders in Number Fields Number Field Ideals Relative Number Field Ideals Class Groups of Number Fields Unit and S-unit groups of Number Fields Solve S-unit equation x + y = 1 Small primes of degree one \(p\)-Selmer groups of number fields See also sage.rings.finite_rings.residue_field Totally Real Fields# Enumeration of Primitive Totally Real Fields Enumeration of Totally Real Fields: Relative Extensions Enumeration of Totally Real Fields Enumeration of Totally Real Fields: PHC interface Algebraic Numbers# Field of Algebraic Numbers Universal cyclotomic field See also sage.rings.algebraic_closure_finite_field Indices and Tables# Index Module Index Search Page