Python-FLINT

Python extension module wrapping FLINT (Fast Library for Number Theory) and Arb (arbitrary-precision ball arithmetic). Features:

• Integers, rationals, integers mod n
• Real and complex numbers with rigorous error tracking
• Polynomials and matrices over all the above types
• Lots of mathematical functions

Author: Fredrik Johansson <fredrik.johansson@gmail.com>

Repository: https://github.com/fredrik-johansson/python-flint/

Introduction

• Setup
  • Additional paths
• General concepts
  • Importing
  • Global context
  • Types and methods
  • Mutability
  • Crashing and burning
  • Inexact numbers and numerical evaluation
  • Power series

Reference

Scalar types

• fmpz – integers
• fmpq – rational numbers
• nmod – integers mod n
• arb – real numbers
• acb – complex numbers
• dirichlet_char – Dirichlet characters

Matrix types

• fmpz_mat – matrices over integers
• fmpq_mat – matrices over rational numbers
• nmod_mat – matrices over integers mod n
• arb_mat – matrices over real numbers
• acb_mat – matrices over complex numbers

Polynomial types

• fmpz_poly – polynomials over integers
• fmpq_poly – polynomials over rational numbers
• nmod_poly – polynomials over integers mod n
• arb_poly – polynomials over real numbers
• acb_poly – polynomials over complex numbers

Power series types

• fmpz_series – power series over integers
• fmpq_series – power series over rational numbers
• nmod_series – power series over integers mod n
• arb_series – power series over real numbers
• acb_series – power series over complex numbers