ca_conj_deep, ca_conj_shallow, ca_conj
#include <flint/ca.h>The shallow version conjugates in place when this is trivial (for example in \mathbb{Q}(i) or when x is real by construction) and otherwise creates the extension number \overline{x}. The deep version conjugates every extension number of the field of x, recursively (using \overline{\exp(z)} = \exp(\overline{z}) and similar rules, with care at branch cuts), and evaluates the conjugated rational function. ca_conj returns x or -x if x is proved real or imaginary, and otherwise uses the deep version. All special values give Unknown at present.
The FLINT team, “ca_conj_deep, ca_conj_shallow, ca_conj (ca.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/ca/ca_conj_deep.html (generated 2026-10-20).
@misc{flint-doc-ca-ca-conj-deep,
author = {{The FLINT team}},
title = {{ca\_conj\_deep, ca\_conj\_shallow, ca\_conj (ca.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/ca/ca_conj_deep.html},
note = {Generated 2026-10-20}
}