Dirichlet character χ1280(383,⋅)\chi_{1280}(383,\cdot)

• Label: 1280.383
• Modulus: $1280$
• Conductor: $40$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1280$
Conductor:	$40$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{40}(3,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1280.o

$\chi_{1280}(127,\cdot)$ $\chi_{1280}(383,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.8000.1

Values on generators

$(511,261,257)$ → $(-1,-1,-i)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 1280 }(383, a)$	$1$	$1$	$i$	$i$	$-1$	$1$	$-i$	$-i$	$-1$	$-1$	$-i$	$-i$