Dirichlet character χ967(169,⋅)\chi_{967}(169,\cdot)

• Label: 967.169
• Modulus: $967$
• Conductor: $967$
• Order: $483$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$967$
Conductor:	$967$
Order:	$483$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 967.o

$\chi_{967}(2,\cdot)$ $\chi_{967}(4,\cdot)$ $\chi_{967}(16,\cdot)$ $\chi_{967}(18,\cdot)$ $\chi_{967}(21,\cdot)$ $\chi_{967}(22,\cdot)$ $\chi_{967}(25,\cdot)$ $\chi_{967}(31,\cdot)$ $\chi_{967}(32,\cdot)$ $\chi_{967}(34,\cdot)$ $\chi_{967}(35,\cdot)$ $\chi_{967}(36,\cdot)$ $\chi_{967}(44,\cdot)$ $\chi_{967}(49,\cdot)$ $\chi_{967}(50,\cdot)$ $\chi_{967}(57,\cdot)$ $\chi_{967}(59,\cdot)$ $\chi_{967}(60,\cdot)$ $\chi_{967}(65,\cdot)$ $\chi_{967}(70,\cdot)$ $\chi_{967}(83,\cdot)$ $\chi_{967}(84,\cdot)$ $\chi_{967}(91,\cdot)$ $\chi_{967}(98,\cdot)$ $\chi_{967}(101,\cdot)$ $\chi_{967}(103,\cdot)$ $\chi_{967}(106,\cdot)$ $\chi_{967}(111,\cdot)$ $\chi_{967}(114,\cdot)$ $\chi_{967}(115,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{483})$
Fixed field:	Number field defined by a degree 483 polynomial (not computed)

Values on generators

$5$ → $e\left(\frac{400}{483}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 967 }(169, a)$	$1$	$1$	$e\left(\frac{353}{483}\right)$	$e\left(\frac{44}{161}\right)$	$e\left(\frac{223}{483}\right)$	$e\left(\frac{400}{483}\right)$	$e\left(\frac{2}{483}\right)$	$e\left(\frac{235}{483}\right)$	$e\left(\frac{31}{161}\right)$	$e\left(\frac{88}{161}\right)$	$e\left(\frac{90}{161}\right)$	$e\left(\frac{65}{161}\right)$

Gauss sum

Jacobi sum

Kloosterman sum