Dirichlet character χ3332(67,⋅)\chi_{3332}(67,\cdot)

• Label: 3332.67
• Modulus: $3332$
• Conductor: $476$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$3332$
Conductor:	$476$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{476}(67,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 3332.o

$\chi_{3332}(67,\cdot)$ $\chi_{3332}(2039,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.754951232.2

Values on generators

$(1667,885,785)$ → $(-1,e\left(\frac{2}{3}\right),-1)$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$19$	$23$	$25$	$27$
$\chi_{ 3332 }(67, a)$	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$