Dirichlet character χ1785(1429,⋅)\chi_{1785}(1429,\cdot)

• Label: 1785.1429
• Modulus: $1785$
• Conductor: $5$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1785$
Conductor:	$5$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{5}(4,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1785.g

$\chi_{1785}(1429,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{5})$

Values on generators

$(596,1072,766,1261)$ → $(1,-1,1,1)$

First values

$a$	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$19$	$22$	$23$	$26$
$\chi_{ 1785 }(1429, a)$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$