Dirichlet character χ1183(9,⋅)\chi_{1183}(9,\cdot)

• Label: 1183.9
• Modulus: $1183$
• Conductor: $1183$
• Order: $39$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1183$
Conductor:	$1183$
Order:	$39$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1183.bj

$\chi_{1183}(9,\cdot)$ $\chi_{1183}(81,\cdot)$ $\chi_{1183}(100,\cdot)$ $\chi_{1183}(172,\cdot)$ $\chi_{1183}(263,\cdot)$ $\chi_{1183}(282,\cdot)$ $\chi_{1183}(354,\cdot)$ $\chi_{1183}(373,\cdot)$ $\chi_{1183}(445,\cdot)$ $\chi_{1183}(464,\cdot)$ $\chi_{1183}(536,\cdot)$ $\chi_{1183}(555,\cdot)$ $\chi_{1183}(627,\cdot)$ $\chi_{1183}(646,\cdot)$ $\chi_{1183}(718,\cdot)$ $\chi_{1183}(737,\cdot)$ $\chi_{1183}(809,\cdot)$ $\chi_{1183}(828,\cdot)$ $\chi_{1183}(900,\cdot)$ $\chi_{1183}(919,\cdot)$ $\chi_{1183}(1010,\cdot)$ $\chi_{1183}(1082,\cdot)$ $\chi_{1183}(1101,\cdot)$ $\chi_{1183}(1173,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	39.39.253721406991290895924770503111827676888647505643788160579278763946491805765758913183386148271215912203961.1

Values on generators

$(339,1016)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{23}{39}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 1183 }(9, a)$	$1$	$1$	$e\left(\frac{10}{39}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{20}{39}\right)$	$e\left(\frac{38}{39}\right)$	$e\left(\frac{28}{39}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{38}{39}\right)$