Dirichlet character χ967(19,⋅)\chi_{967}(19,\cdot)

• Label: 967.19
• Modulus: $967$
• Conductor: $967$
• Order: $966$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$967$
Conductor:	$967$
Order:	$966$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 967.p

$\chi_{967}(5,\cdot)$ $\chi_{967}(6,\cdot)$ $\chi_{967}(7,\cdot)$ $\chi_{967}(12,\cdot)$ $\chi_{967}(13,\cdot)$ $\chi_{967}(19,\cdot)$ $\chi_{967}(28,\cdot)$ $\chi_{967}(37,\cdot)$ $\chi_{967}(38,\cdot)$ $\chi_{967}(40,\cdot)$ $\chi_{967}(43,\cdot)$ $\chi_{967}(45,\cdot)$ $\chi_{967}(46,\cdot)$ $\chi_{967}(47,\cdot)$ $\chi_{967}(48,\cdot)$ $\chi_{967}(56,\cdot)$ $\chi_{967}(58,\cdot)$ $\chi_{967}(63,\cdot)$ $\chi_{967}(66,\cdot)$ $\chi_{967}(75,\cdot)$ $\chi_{967}(77,\cdot)$ $\chi_{967}(79,\cdot)$ $\chi_{967}(82,\cdot)$ $\chi_{967}(85,\cdot)$ $\chi_{967}(86,\cdot)$ $\chi_{967}(89,\cdot)$ $\chi_{967}(102,\cdot)$ $\chi_{967}(104,\cdot)$ $\chi_{967}(105,\cdot)$ $\chi_{967}(107,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{483})$
Fixed field:	Number field defined by a degree 966 polynomial (not computed)

Values on generators

$5$ → $e\left(\frac{605}{966}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 967 }(19, a)$	$-1$	$1$	$e\left(\frac{113}{483}\right)$	$e\left(\frac{139}{322}\right)$	$e\left(\frac{226}{483}\right)$	$e\left(\frac{605}{966}\right)$	$e\left(\frac{643}{966}\right)$	$e\left(\frac{929}{966}\right)$	$e\left(\frac{113}{161}\right)$	$e\left(\frac{139}{161}\right)$	$e\left(\frac{277}{322}\right)$	$e\left(\frac{24}{161}\right)$

Gauss sum

Jacobi sum

Kloosterman sum