Dirichlet character χ3380(3281,⋅)\chi_{3380}(3281,\cdot)

• Label: 3380.3281
• Modulus: $3380$
• Conductor: $13$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3380$
Conductor:	$13$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{13}(5,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 3380.t

$\chi_{3380}(3141,\cdot)$ $\chi_{3380}(3281,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.0.2197.1

Values on generators

$(1691,677,1861)$ → $(1,1,-i)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 3380 }(3281, a)$	$-1$	$1$	$1$	$i$	$1$	$i$	$-1$	$-i$	$i$	$-1$	$1$	$1$