Algebraic Number Fields

• Base class for all number fields
• Number Fields
• Relative Number Fields
• Number Field Elements
• Optimized Quadratic Number Field Elements
• Orders in Number Fields
• Number Field Ideals
• Relative Number Field Ideals
• Morphisms between number fields
• Embeddings into ambient fields
• Structure maps for number fields
• Class Groups of Number Fields
• Galois Groups of Number Fields
• Unit and S-unit groups of Number Fields
• Small primes of degree one
• Splitting fields of polynomials over number fields
• Elements of bounded height in number fields
• Helper classes for structural embeddings and isomorphisms of number fields
• Enumeration of Primitive Totally Real Fields
  • Algorithm
  • Examples
  • References
  • Authors
• Enumeration of Totally Real Fields: Relative Extensions
• Enumeration of Totally Real Fields
• Enumeration of Totally Real Fields: PHC interface
• Field of Algebraic Numbers
• Universal cyclotomic field

Indices and Tables

• Index
• Module Index
• Search Page