Dirichlet character χ800(779,⋅)\chi_{800}(779,\cdot)

• Label: 800.779
• Modulus: $800$
• Conductor: $800$
• Order: $40$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$800$
Conductor:	$800$
Order:	$40$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 800.bz

$\chi_{800}(19,\cdot)$ $\chi_{800}(59,\cdot)$ $\chi_{800}(139,\cdot)$ $\chi_{800}(179,\cdot)$ $\chi_{800}(219,\cdot)$ $\chi_{800}(259,\cdot)$ $\chi_{800}(339,\cdot)$ $\chi_{800}(379,\cdot)$ $\chi_{800}(419,\cdot)$ $\chi_{800}(459,\cdot)$ $\chi_{800}(539,\cdot)$ $\chi_{800}(579,\cdot)$ $\chi_{800}(619,\cdot)$ $\chi_{800}(659,\cdot)$ $\chi_{800}(739,\cdot)$ $\chi_{800}(779,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{40})$
Fixed field:	40.0.15474250491067253436239052800000000000000000000000000000000000000000000000000000000000000000000.1

Values on generators

$(351,101,577)$ → $(-1,e\left(\frac{5}{8}\right),e\left(\frac{1}{10}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 800 }(779, a)$	$-1$	$1$	$e\left(\frac{3}{40}\right)$	$i$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{9}{40}\right)$

Gauss sum

Jacobi sum

Kloosterman sum