Dirichlet character χ9405(1046,⋅)\chi_{9405}(1046,\cdot)

• Label: 9405.1046
• Modulus: $9405$
• Conductor: $9$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$9405$
Conductor:	$9$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{9}(2,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 9405.cn

$\chi_{9405}(1046,\cdot)$ $\chi_{9405}(4181,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	$\Q(\zeta_{9})$

Values on generators

$(1046,1882,5986,496)$ → $(e\left(\frac{1}{6}\right),1,1,1)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$23$	$26$
$\chi_{ 9405 }(1046, a)$	$-1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{5}{6}\right)$	$-1$