Dirichlet character χ967(133,⋅)\chi_{967}(133,\cdot)

• Label: 967.133
• Modulus: $967$
• Conductor: $967$
• Order: $23$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$967$
Conductor:	$967$
Order:	$23$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 967.h

$\chi_{967}(69,\cdot)$ $\chi_{967}(72,\cdot)$ $\chi_{967}(133,\cdot)$ $\chi_{967}(157,\cdot)$ $\chi_{967}(187,\cdot)$ $\chi_{967}(196,\cdot)$ $\chi_{967}(283,\cdot)$ $\chi_{967}(332,\cdot)$ $\chi_{967}(349,\cdot)$ $\chi_{967}(474,\cdot)$ $\chi_{967}(574,\cdot)$ $\chi_{967}(641,\cdot)$ $\chi_{967}(667,\cdot)$ $\chi_{967}(696,\cdot)$ $\chi_{967}(703,\cdot)$ $\chi_{967}(714,\cdot)$ $\chi_{967}(795,\cdot)$ $\chi_{967}(873,\cdot)$ $\chi_{967}(893,\cdot)$ $\chi_{967}(916,\cdot)$ $\chi_{967}(926,\cdot)$ $\chi_{967}(953,\cdot)$

Related number fields

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

Values on generators

$5$ → $e\left(\frac{16}{23}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 967 }(133, a)$	$1$	$1$	$e\left(\frac{4}{23}\right)$	$e\left(\frac{20}{23}\right)$	$e\left(\frac{8}{23}\right)$	$e\left(\frac{16}{23}\right)$	$e\left(\frac{1}{23}\right)$	$e\left(\frac{14}{23}\right)$	$e\left(\frac{12}{23}\right)$	$e\left(\frac{17}{23}\right)$	$e\left(\frac{20}{23}\right)$	$e\left(\frac{17}{23}\right)$

Gauss sum

Jacobi sum

Kloosterman sum