Dirichlet character χ1455(826,⋅)\chi_{1455}(826,\cdot)

• Label: 1455.826
• 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 $\chi_{97}(50,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1455.bg

$\chi_{1455}(241,\cdot)$ $\chi_{1455}(421,\cdot)$ $\chi_{1455}(646,\cdot)$ $\chi_{1455}(826,\cdot)$

Related number fields

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

Values on generators

$(971,292,781)$ → $(1,1,e\left(\frac{3}{8}\right))$

First values

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