Dirichlet character orbit 3528.dc

• Label: 3528.dc
• Modulus: $3528$
• Conductor: $49$
• Order: $7$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3528$
Conductor:	$49$
Order:	$7$
Real:	no
Primitive:	no, induced from 49.e
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	7.7.13841287201.1

Characters in Galois orbit

Character	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{3528}(505,\cdot)$	$1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$1$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{6}{7}\right)$	$1$	$e\left(\frac{6}{7}\right)$
$\chi_{3528}(1009,\cdot)$	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$1$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{5}{7}\right)$	$1$	$e\left(\frac{5}{7}\right)$
$\chi_{3528}(1513,\cdot)$	$1$	$1$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{4}{7}\right)$	$1$	$e\left(\frac{4}{7}\right)$
$\chi_{3528}(2017,\cdot)$	$1$	$1$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{3}{7}\right)$	$1$	$e\left(\frac{3}{7}\right)$
$\chi_{3528}(2521,\cdot)$	$1$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{2}{7}\right)$	$1$	$e\left(\frac{2}{7}\right)$
$\chi_{3528}(3025,\cdot)$	$1$	$1$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$1$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{1}{7}\right)$	$1$	$e\left(\frac{1}{7}\right)$