`nf_elem_is_gen`

Synopsis#include <flint/nf_elem.h>

int nf_elem_is_gen(const nf_elem_t a, const nf_t nf)source

Returns whether $a$ equals the generator $\theta$ . In a field of degree 1 with defining polynomial $f = f_1 x + f_0$ , the generator is the rational number $-f_0/f_1$ .

Cite this page

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

@misc{flint-doc-nf-elem-nf-elem-is-gen,
  author       = {{The FLINT team}},
  title        = {{nf\_elem\_is\_gen (nf\_elem.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/nf_elem/nf_elem_is_gen.html},
  note         = {Generated 2026-11-02}
}

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