Algebraic Numbers and Number Fields
===================================

Algebraic Number Fields
-----------------------

.. toctree::
   :maxdepth: 1

   sage/rings/number_field/number_field
   sage/rings/number_field/number_field_base
   sage/rings/number_field/number_field_rel
   sage/rings/number_field/number_field_element
   sage/rings/number_field/number_field_element_quadratic

   sage/rings/number_field/splitting_field
   sage/rings/number_field/galois_group
   sage/rings/number_field/bdd_height

Morphisms
---------

.. toctree::
   :maxdepth: 1

   sage/rings/number_field/morphism
   sage/rings/number_field/homset
   sage/rings/number_field/number_field_morphisms
   sage/rings/number_field/maps
   sage/rings/number_field/structure

Orders, Ideals, Ideal Classes
-----------------------------

.. toctree::
   :maxdepth: 1

   sage/rings/number_field/order
   sage/rings/number_field/number_field_ideal
   sage/rings/number_field/number_field_ideal_rel
   sage/rings/number_field/class_group
   sage/rings/number_field/unit_group
   sage/rings/number_field/S_unit_solver
   sage/rings/number_field/small_primes_of_degree_one
   sage/rings/number_field/selmer_group

.. SEEALSO::

    :mod:`sage.rings.finite_rings.residue_field`

Totally Real Fields
-------------------

.. toctree::
   :maxdepth: 1

   sage/rings/number_field/totallyreal
   sage/rings/number_field/totallyreal_rel
   sage/rings/number_field/totallyreal_data
   sage/rings/number_field/totallyreal_phc

Algebraic Numbers
-----------------

.. toctree::
   :maxdepth: 1

   sage/rings/qqbar
   sage/rings/universal_cyclotomic_field

.. SEEALSO::

    :mod:`sage.rings.algebraic_closure_finite_field`

.. include:: ../footer.txt
