Dirichlet character χ967(393,⋅)\chi_{967}(393,\cdot)

• Label: 967.393
• Modulus: $967$
• Conductor: $967$
• Order: $46$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$967$
Conductor:	$967$
Order:	$46$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 967.j

$\chi_{967}(14,\cdot)$ $\chi_{967}(41,\cdot)$ $\chi_{967}(51,\cdot)$ $\chi_{967}(74,\cdot)$ $\chi_{967}(94,\cdot)$ $\chi_{967}(172,\cdot)$ $\chi_{967}(253,\cdot)$ $\chi_{967}(264,\cdot)$ $\chi_{967}(271,\cdot)$ $\chi_{967}(300,\cdot)$ $\chi_{967}(326,\cdot)$ $\chi_{967}(393,\cdot)$ $\chi_{967}(493,\cdot)$ $\chi_{967}(618,\cdot)$ $\chi_{967}(635,\cdot)$ $\chi_{967}(684,\cdot)$ $\chi_{967}(771,\cdot)$ $\chi_{967}(780,\cdot)$ $\chi_{967}(810,\cdot)$ $\chi_{967}(834,\cdot)$ $\chi_{967}(895,\cdot)$ $\chi_{967}(898,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{23})$
Fixed field:	Number field defined by a degree 46 polynomial

Values on generators

$5$ → $e\left(\frac{3}{46}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 967 }(393, a)$	$-1$	$1$	$e\left(\frac{9}{23}\right)$	$e\left(\frac{21}{46}\right)$	$e\left(\frac{18}{23}\right)$	$e\left(\frac{3}{46}\right)$	$e\left(\frac{39}{46}\right)$	$e\left(\frac{17}{46}\right)$	$e\left(\frac{4}{23}\right)$	$e\left(\frac{21}{23}\right)$	$e\left(\frac{21}{46}\right)$	$e\left(\frac{21}{23}\right)$

Gauss sum

Jacobi sum

Kloosterman sum