Dirichlet character χ1512(793,⋅)\chi_{1512}(793,\cdot)

• Label: 1512.793
• Modulus: $1512$
• Conductor: $63$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1512$
Conductor:	$63$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{63}(58,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1512.q

$\chi_{1512}(793,\cdot)$ $\chi_{1512}(1369,\cdot)$

Related number fields

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

Values on generators

$(1135,757,785,1081)$ → $(1,1,e\left(\frac{1}{3}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{ 1512 }(793, a)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$