Dirichlet character orbit 1455.bg

• Label: 1455.bg
• Modulus: $1455$
• Conductor: $97$
• Order: $8$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1455$
Conductor:	$97$
Order:	$8$
Real:	no
Primitive:	no, induced from 97.f
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.8.80798284478113.1

Characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{1455}(241,\cdot)$	$1$	$1$	$-i$	$-1$	$e\left(\frac{1}{8}\right)$	$i$	$i$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{7}{8}\right)$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{7}{8}\right)$
$\chi_{1455}(421,\cdot)$	$1$	$1$	$i$	$-1$	$e\left(\frac{3}{8}\right)$	$-i$	$-i$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{8}\right)$	$1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{5}{8}\right)$
$\chi_{1455}(646,\cdot)$	$1$	$1$	$i$	$-1$	$e\left(\frac{7}{8}\right)$	$-i$	$-i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{8}\right)$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{8}\right)$
$\chi_{1455}(826,\cdot)$	$1$	$1$	$-i$	$-1$	$e\left(\frac{5}{8}\right)$	$i$	$i$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$