Dirichlet character χ4655(4244,⋅)\chi_{4655}(4244,\cdot)

• Label: 4655.4244
• Modulus: $4655$
• Conductor: $665$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$665$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{665}(254,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 4655.t

$\chi_{4655}(4134,\cdot)$ $\chi_{4655}(4244,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.39112590125.1

Values on generators

$(932,3041,2206)$ → $(-1,e\left(\frac{1}{3}\right),e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 4655 }(4244, a)$	$1$	$1$	$-1$	$e\left(\frac{1}{6}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$1$