Dirichlet character χ1455(583,⋅)\chi_{1455}(583,\cdot)

• Label: 1455.583
• Modulus: $1455$
• Conductor: $5$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1455$
Conductor:	$5$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{5}(3,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 1455.p

$\chi_{1455}(292,\cdot)$ $\chi_{1455}(583,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	$\Q(\zeta_{5})$

Values on generators

$(971,292,781)$ → $(1,-i,1)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 1455 }(583, a)$	$-1$	$1$	$-i$	$-1$	$-i$	$i$	$1$	$i$	$-1$	$1$	$-i$	$-1$