Dirichlet character χ3822(2449,⋅)\chi_{3822}(2449,\cdot)

• Label: 3822.2449
• Modulus: $3822$
• Conductor: $91$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3822$
Conductor:	$91$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{91}(83,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3822.o

$\chi_{3822}(2449,\cdot)$ $\chi_{3822}(3037,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.107653.1

Values on generators

$(2549,3433,1471)$ → $(1,-1,-i)$

First values

$a$	$-1$	$1$	$5$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 3822 }(2449, a)$	$1$	$1$	$i$	$i$	$1$	$i$	$-1$	$-1$	$1$	$i$	$i$	$i$