Dirichlet character χ3549(1691,⋅)\chi_{3549}(1691,\cdot)

• Label: 3549.1691
• Modulus: $3549$
• Conductor: $21$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3549$
Conductor:	$21$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{21}(11,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 3549.bk

$\chi_{3549}(170,\cdot)$ $\chi_{3549}(1691,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.64827.1

Values on generators

$(1184,1522,3382)$ → $(-1,e\left(\frac{2}{3}\right),1)$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$16$	$17$	$19$	$20$
$\chi_{ 3549 }(1691, a)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$