Dirichlet character χ1455(1336,⋅)\chi_{1455}(1336,\cdot)

• Label: 1455.1336
• Modulus: $1455$
• Conductor: $97$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1455$
Conductor:	$97$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{97}(75,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1455.j

$\chi_{1455}(1186,\cdot)$ $\chi_{1455}(1336,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.912673.1

Values on generators

$(971,292,781)$ → $(1,1,-i)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1455 }(1336, a)$	$1$	$1$	$-1$	$1$	$i$	$-1$	$-1$	$-i$	$-i$	$1$	$-i$	$-i$