Dirichlet character orbit 3528.dp

• Label: 3528.dp
• Modulus: $3528$
• Conductor: $147$
• Order: $14$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3528$
Conductor:	$147$
Order:	$14$
Real:	no
Primitive:	no, induced from 147.l
Minimal:	yes
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	14.0.418988153029298748294987.1

Characters in Galois orbit

Character	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{3528}(449,\cdot)$	$-1$	$1$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{13}{14}\right)$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{13}{14}\right)$	$1$	$e\left(\frac{3}{7}\right)$
$\chi_{3528}(953,\cdot)$	$-1$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{11}{14}\right)$	$1$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{14}\right)$	$1$	$e\left(\frac{2}{7}\right)$
$\chi_{3528}(1457,\cdot)$	$-1$	$1$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{9}{14}\right)$	$1$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{9}{14}\right)$	$1$	$e\left(\frac{1}{7}\right)$
$\chi_{3528}(2465,\cdot)$	$-1$	$1$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{5}{14}\right)$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{5}{14}\right)$	$1$	$e\left(\frac{6}{7}\right)$
$\chi_{3528}(2969,\cdot)$	$-1$	$1$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{14}\right)$	$1$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{3}{14}\right)$	$1$	$e\left(\frac{5}{7}\right)$
$\chi_{3528}(3473,\cdot)$	$-1$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{14}\right)$	$1$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{1}{14}\right)$	$1$	$e\left(\frac{4}{7}\right)$