Dirichlet character χ1295(778,⋅)\chi_{1295}(778,\cdot)

• Label: 1295.778
• Modulus: $1295$
• Conductor: $5$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1295$
Conductor:	$5$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{5}(3,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 1295.t

$\chi_{1295}(778,\cdot)$ $\chi_{1295}(1037,\cdot)$

Related number fields

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

Values on generators

$(1037,556,631)$ → $(-i,1,1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{ 1295 }(778, a)$	$-1$	$1$	$-i$	$i$	$-1$	$1$	$i$	$-1$	$1$	$-i$	$i$	$1$