Dirichlet character χ3800(2243,⋅)\chi_{3800}(2243,\cdot)

• Label: 3800.2243
• Modulus: $3800$
• Conductor: $40$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3800$
Conductor:	$40$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{40}(3,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 3800.w

$\chi_{3800}(2243,\cdot)$ $\chi_{3800}(3307,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.8000.1

Values on generators

$(951,1901,1977,401)$ → $(-1,-1,-i,1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3800 }(2243, a)$	$1$	$1$	$i$	$i$	$-1$	$1$	$-i$	$-i$	$-1$	$-i$	$-i$	$1$