Dirichlet character χ1224(613,⋅)\chi_{1224}(613,\cdot)

• Label: 1224.613
• Modulus: $1224$
• Conductor: $8$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1224$
Conductor:	$8$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{8}(5,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1224.f

$\chi_{1224}(613,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{2})$

Values on generators

$(919,613,137,649)$ → $(1,-1,1,1)$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$35$
$\chi_{ 1224 }(613, a)$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$