Dirichlet character orbit 3380.be

• Label: 3380.be
• Modulus: $3380$
• Conductor: $260$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$3380$
Conductor:	$260$
Order:	$12$
Real:	no
Primitive:	no, induced from 260.be
Minimal:	no
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.0.14337283152296000000000.2

Characters in Galois orbit

Character	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{3380}(587,\cdot)$	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{12}\right)$	$i$	$e\left(\frac{1}{12}\right)$	$-i$	$e\left(\frac{5}{6}\right)$
$\chi_{3380}(1103,\cdot)$	$-1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{12}\right)$	$-i$	$e\left(\frac{7}{12}\right)$	$i$	$e\left(\frac{5}{6}\right)$
$\chi_{3380}(2047,\cdot)$	$-1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$	$i$	$e\left(\frac{5}{12}\right)$	$-i$	$e\left(\frac{1}{6}\right)$
$\chi_{3380}(3023,\cdot)$	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{12}\right)$	$-i$	$e\left(\frac{11}{12}\right)$	$i$	$e\left(\frac{1}{6}\right)$