Dirichlet character orbit 1224.br

• Label: 1224.br
• Modulus: $1224$
• Conductor: $204$
• Order: $8$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1224$
Conductor:	$204$
Order:	$8$
Real:	no
Primitive:	no, induced from 204.p
Minimal:	no
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.8.8508782723328.1

Characters in Galois orbit

Character	$-1$	$1$	$5$	$7$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$35$
$\chi_{1224}(287,\cdot)$	$1$	$1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{8}\right)$	$-1$	$-i$	$e\left(\frac{5}{8}\right)$	$-i$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{8}\right)$	$1$
$\chi_{1224}(359,\cdot)$	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{8}\right)$	$-1$	$-i$	$e\left(\frac{1}{8}\right)$	$-i$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$1$
$\chi_{1224}(791,\cdot)$	$1$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{7}{8}\right)$	$-1$	$i$	$e\left(\frac{7}{8}\right)$	$i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{8}\right)$	$1$
$\chi_{1224}(1079,\cdot)$	$1$	$1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$-1$	$i$	$e\left(\frac{3}{8}\right)$	$i$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$	$1$