Dirichlet character χ1323(802,⋅)\chi_{1323}(802,\cdot)

• Label: 1323.802
• Modulus: $1323$
• Conductor: $63$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1323$
Conductor:	$63$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{63}(25,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1323.h

$\chi_{1323}(226,\cdot)$ $\chi_{1323}(802,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	3.3.3969.1

Values on generators

$(785,1081)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$19$
$\chi_{ 1323 }(802, a)$	$1$	$1$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$