SAGE Reference Manual
Previous:
Front Matter
Up:
SAGE Reference Manual
Next:
1. Introduction
Contents
1. Introduction
1.1 Conventions
2. Sets, Functions and Other Algebraic Structures
3. Basic Rings
3.1 The Integers
3.1.1 rings.integer_ring - The Integer Ring
3.1.2 rings.integer - Elements of the Integer Ring
3.2 Rational Numbers
3.2.1 rings.rational_field - The Rational Field
3.2.2 rings.rational - Rational Numbers
3.3 Integers Modulo N
3.3.1 integer_mod_ring - The Rings of Integers Modulo N
3.3.2 integer_mod - Integers Modulo N
3.4 number_field - Number Fields
3.5 padic_field - p-adic Fields
3.6 real_field - The Real Field
3.7 complex_field - The Complex Field
3.8 polynomial_ring - Univariate Polynomial Rings
3.9 multi_polynomial_ring - Multivariate Polynomial Rings
3.10 power_series_ring - Power Series Rings
3.11 laurent_series_ring - Laurent Series Rings
4. Linear Algebra
4.1 Vector Spaces
4.1.1 Sparse and Dense Vector Spaces
4.2 Matrices
4.2.1 Sparse and Dense Matrices
5. Dirichlet Characters
5.1 Creation
5.2 Arithmetic
5.3 Invariants
6. Modular Symbols
6.1 Creation of Modular Symbols Spaces
6.1.1 Examples
6.2 Manin Symbols
6.3 Computing Hecke Operators
6.4 Heilbronn Matrices
7. Modular Forms
7.1 Creation of Modular Forms Spaces
7.2 Arithmetic
7.3 Computing Hecke Operators
8. Modular Abelian Varieties
8.1 Creation of Modular Abelian Varieties
8.2 Arithmetic
9. Mestre Method of Graphs
9.1 Creation
9.2 Computing Hecke Operators
10. Elliptic Curves
10.1 Creation
10.2 Arithmetic
A. History and License
A.1 License
A.1.1 The GNU General Public License
Module Index
Index
SAGE Reference Manual
Previous:
Front Matter
Up:
SAGE Reference Manual
Next:
1. Introduction
Release 0.3, documentation updated on April 21, 2005.
See
About this document...
for information on suggesting changes.