Dirichlet character χ2527(1084,⋅)\chi_{2527}(1084,\cdot)

• Label: 2527.1084
• Modulus: $2527$
• Conductor: $7$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2527$
Conductor:	$7$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{7}(6,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2527.d

$\chi_{2527}(1084,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-7})$

Values on generators

$(1445,1807)$ → $(-1,1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 2527 }(1084, a)$	$-1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$-1$