Dirichlet character χ2243(9,⋅)\chi_{2243}(9,\cdot)

• Label: 2243.9
• Modulus: $2243$
• Conductor: $2243$
• Order: $1121$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2243$
Conductor:	$2243$
Order:	$1121$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2243.g

$\chi_{2243}(3,\cdot)$ $\chi_{2243}(4,\cdot)$ $\chi_{2243}(7,\cdot)$ $\chi_{2243}(9,\cdot)$ $\chi_{2243}(10,\cdot)$ $\chi_{2243}(11,\cdot)$ $\chi_{2243}(12,\cdot)$ $\chi_{2243}(16,\cdot)$ $\chi_{2243}(17,\cdot)$ $\chi_{2243}(21,\cdot)$ $\chi_{2243}(25,\cdot)$ $\chi_{2243}(26,\cdot)$ $\chi_{2243}(27,\cdot)$ $\chi_{2243}(28,\cdot)$ $\chi_{2243}(30,\cdot)$ $\chi_{2243}(31,\cdot)$ $\chi_{2243}(33,\cdot)$ $\chi_{2243}(36,\cdot)$ $\chi_{2243}(38,\cdot)$ $\chi_{2243}(40,\cdot)$ $\chi_{2243}(43,\cdot)$ $\chi_{2243}(44,\cdot)$ $\chi_{2243}(46,\cdot)$ $\chi_{2243}(48,\cdot)$ $\chi_{2243}(49,\cdot)$ $\chi_{2243}(51,\cdot)$ $\chi_{2243}(53,\cdot)$ $\chi_{2243}(58,\cdot)$ $\chi_{2243}(61,\cdot)$ $\chi_{2243}(64,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{1121})$
Fixed field:	Number field defined by a degree 1121 polynomial (not computed)

Values on generators

$2$ → $e\left(\frac{146}{1121}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2243 }(9, a)$	$1$	$1$	$e\left(\frac{146}{1121}\right)$	$e\left(\frac{17}{1121}\right)$	$e\left(\frac{292}{1121}\right)$	$e\left(\frac{581}{1121}\right)$	$e\left(\frac{163}{1121}\right)$	$e\left(\frac{802}{1121}\right)$	$e\left(\frac{438}{1121}\right)$	$e\left(\frac{34}{1121}\right)$	$e\left(\frac{727}{1121}\right)$	$e\left(\frac{144}{1121}\right)$