FLINT3.7.0-dev
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_fq_poly_sqrt_series, fq_poly_sqrt_series, _fq_poly_invsqrt_series, fq_poly_invsqrt_series

Synopsis#include <flint/fq_poly.h>
void _fq_poly_sqrt_series(fq_struct * g, const fq_struct * h, slong n, fq_ctx_t ctx)
void fq_poly_sqrt_series(fq_poly_t g, const fq_poly_t h, slong n, fq_ctx_t ctx)
void _fq_poly_invsqrt_series(fq_struct * g, const fq_struct * h, slong n, fq_ctx_t ctx)
void fq_poly_invsqrt_series(fq_poly_t g, const fq_poly_t h, slong n, fq_ctx_t ctx)

Set gg to h\sqrt{h}, respectively 1/h1/\sqrt{h}, modulo xnx^n, for a power series hh with constant term 1 (the square root with constant term 1), by Newton iteration. The underscore versions require n>0n > 0 and hh zero-padded to length nn, and do not allow aliasing. All four throw FLINT_ERROR in characteristic 2 for n>1n > 1; the others throw if the constant term of hh is not 1.

Cite this page

The FLINT team, “_fq_poly_sqrt_series, fq_poly_sqrt_series, _fq_poly_invsqrt_series, fq_poly_invsqrt_series (fq_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fq_poly/_fq_poly_sqrt_series.html (generated 2026-11-02).