Dirichlet character χ3822(883,⋅)\chi_{3822}(883,\cdot)

• Label: 3822.883
• Modulus: $3822$
• Conductor: $13$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3822$
Conductor:	$13$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{13}(12,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3822.c

$\chi_{3822}(883,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{13})$

Values on generators

$(2549,3433,1471)$ → $(1,1,-1)$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 3822 }(883, a)$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$