Dirichlet character χ3328(1665,⋅)\chi_{3328}(1665,\cdot)

• Label: 3328.1665
• Modulus: $3328$
• Conductor: $8$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3328$
Conductor:	$8$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{8}(5,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 3328.b

$\chi_{3328}(1665,\cdot)$

Related number fields

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

Values on generators

$(1535,261,769)$ → $(1,-1,1)$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 3328 }(1665, a)$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$