Dirichlet character χ1323(325,⋅)\chi_{1323}(325,\cdot)

• Label: 1323.325
• Modulus: $1323$
• Conductor: $7$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1323$
Conductor:	$7$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{7}(3,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1323.m

$\chi_{1323}(325,\cdot)$ $\chi_{1323}(460,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	$\Q(\zeta_{7})$

Values on generators

$(785,1081)$ → $(1,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$19$
$\chi_{ 1323 }(325, a)$	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$