ca_check_is_algebraic, ca_check_is_rational, ca_check_is_integer
Synopsis
#include <flint/ca.h>ca_check_is_algebraic returns T_TRUE when every extension number is algebraic by construction (see ca_can_evaluate_qqbar), and otherwise T_UNKNOWN: it never proves transcendence. The other two functions use numerical evaluation to disprove and exact evaluation to an algebraic number to prove.
Cite this page
The FLINT team, “ca_check_is_algebraic, ca_check_is_rational, ca_check_is_integer (ca.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/ca/ca_check_is_algebraic.html (generated 2026-10-20).
@misc{flint-doc-ca-ca-check-is-algebraic,
author = {{The FLINT team}},
title = {{ca\_check\_is\_algebraic, ca\_check\_is\_rational, ca\_check\_is\_integer (ca.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/ca/ca_check_is_algebraic.html},
note = {Generated 2026-10-20}
}