Dirichlet character χ1682(1681,⋅)\chi_{1682}(1681,\cdot)

• Label: 1682.1681
• Modulus: $1682$
• Conductor: $29$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1682$
Conductor:	$29$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{29}(28,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1682.b

$\chi_{1682}(1681,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{29})$

Values on generators

$843$ → $-1$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 1682 }(1681, a)$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$-1$