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The fmpz module provides routines for memory management, basic manipulation and basic arithmetic. Unless otherwise specified, all functions in this section permit aliasing between their input arguments and between their input and output arguments. The following example computes the square of the integer 7 and prints the result.

fmpz_poly.h – univariate polynomials over the integers¶ Introduction¶ The fmpz_poly_t data type represents elements of \(\mathbb{Z}[x]\). The fmpz_poly module provides routines for memory management, basic arithmetic, and conversions from or to other types. Each coefficient of an fmpz_poly_t is an integer of the FLINT fmpz_t type. There are ...

Converts self to a string, optionally in a non-decimal base and optionally showing only leading and trailing digits.

Build on the preliminary interface to FLINT's generic (gr) types. Make a nicer interface like ZZ(1) etc rather than fmpz_poly([1, 2]). Generally each release of python-flint will be compatible with a range of Python versions as described in SPEC 0.

Converts self to a string, optionally in a non-decimal base and optionally showing only leading and trailing digits.

The fmpz_poly type represents dense univariate polynomials over the integers. Returns the Chebyshev polynomial of the first kind T n (x) as an fmpz_poly. Returns the Chebyshev polynomial of the second kind U n (x) as an fmpz_poly. Returns the coefficients of self as a list. Computes all the complex roots of this polynomial.

Mar 17, 2025 · Build on the preliminary interface to FLINT's generic (gr) types. Make a nicer interface like ZZ(1) etc rather than fmpz_poly([1, 2]). Generally each release of python-flint will be compatible with a range of Python versions as described in SPEC 0.

The fmpz_mod_poly module provides routines for memory management, basic arithmetic and some higher level functions such as GCD, etc. Each coefficient of an fmpz_mod_poly_t is of type fmpz and represents an integer reduced modulo the fixed modulus \(n\) in the range \([0,n)\).

Dec 11, 2014 · Right now, there's no direct approach to convert data between type fmpzxx and mpz_t. (Converting between fmpz_t and mpz_t is available while the one between fmpzxx and fmpz_t doesn't exist.)