Dirichlet character χ3762(989,⋅)\chi_{3762}(989,\cdot)

• Label: 3762.989
• Modulus: $3762$
• Conductor: $33$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3762$
Conductor:	$33$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{33}(32,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3762.b

$\chi_{3762}(989,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{33})$

Values on generators

$(2927,343,2377)$ → $(-1,-1,1)$

First values

$a$	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{ 3762 }(989, a)$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$