The SAGE Manual
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The SAGE Manual
William A. Stein
was@math.harvard.edu
Date:
August 12, 2005
Front Matter
Contents
1. Introduction
2. Miscellaneous Functionality
2.1 Miscellaneous
2.1.1
sage.misc.misc
- Miscellaneous functions
2.2 Functional Notation
2.2.1
sage.misc.functional
- Functional notation
3. Functions and Algebraic Structures
3.1 Functions
3.1.1
sage.structure.function
- Classes that define maps and homomorphisms
4. Rings
4.1 The Integer Ring
4.1.1
sage.rings.integer_ring
- The Integer Ring
4.1.2
sage.rings.integer
- Integers
4.2 The Rational Field
4.2.1
sage.rings.rational_field
- The field of rational numbers.
4.2.2
sage.rings.rational
-
4.3 The Real and Complex Numbers
4.3.1
sage.rings.real_field
- The field of real numbers.
4.3.2
sage.rings.real_number
- Real number
4.3.3
sage.rings.complex_field
- Complex numbers
4.3.4
sage.rings.complex_number
- A complex number
4.4 Quaternion Algebras
4.4.1
sage.rings.quatalg
- Quaternion algebras
4.4.2
sage.rings.quaternion
- Quaternions
4.5 Univariate Polynomials
4.6 Multivariate Polynomials
4.7 Finite Fields
4.8 The Integers Modulo
4.9 Power Series and Laurent Series
4.10 Number Fields
4.11
-Adic Numbers
5. Linear Algebra
5.1 Vector Spaces
5.1.1
sage.linalg.vector_space
- Vector space
5.2 Vectors
5.2.1
sage.linalg.vector
- Vectors
5.3 Matrix Spaces
5.3.1
sage.linalg.matrix_space
- Space of matrices over a ring.
5.4 Matrices
5.4.1
sage.linalg.matrix
- Matrices
6. Curves
6.1 Elliptic Curves
6.1.1
sage.ellcurve.constructor
- Elliptic curve constructor
6.1.2
sage.ellcurve.ell_generic
- Elliptic curves over a general ring
6.1.3
sage.ellcurve.ell_rational_field
- Elliptic curves over the rational numbers
6.1.4
sage.ellcurve.ell_finite_field
- Elliptic curves over finite fields
7. Modular Forms
7.1 Dirichlet Characters
7.1.1
sage.modular.dirichlet
- Dirichlet characters
7.2 Modular Forms
7.2.1
sage.modular.modform.modform
- Modular Forms
7.3 Modular Symbols
7.3.1
sage.modular.modsym.modsym
- Create modular symbols spaces
7.4 Modular Abelian Varieties
7.5 Module of Supersingular Points
8. Tables
8.1 Elliptic Curves: John Cremona's Tables
8.1.1
sage.tables.cremona
- Cremona's tables of elliptic curves.
8.2 Number Fields: John Jones's Tables
8.2.1
sage.tables.jones
- John Jones's tables of number fields
8.3 Conway Polynomials: Frank Luebeck's Tables
8.3.1
sage.tables.conway
- Frank Luebeck's tables of Conway polynomials over finite fields.
9. C/C++ Libraries
9.1 The MWRANK C++ Library
9.1.1
sage.libs.mwrank
-
9.2 The NTL C++ Library
9.2.1
sage.libs.ntl
-
9.3 The PARI C Library
9.3.1
sage.pari.py_pari
-
10. Interfaces
10.1 The GAP Interface
10.1.1
sage.interfaces.gap
- Interface to GAP
10.2 The Singular Interface
10.2.1
sage.interfaces.singular
- Interface to Singular
A. History and License
A.1 License
A.1.1 The GNU General Public License
Module Index
Index
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The SAGE Manual
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Front Matter
Release 0.5.alpha10, documentation updated on August 12, 2005.
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