Dirichlet character χ3800(3193,⋅)\chi_{3800}(3193,\cdot)

• Label: 3800.3193
• Modulus: $3800$
• Conductor: $5$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$3800$
Conductor:	$5$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{5}(3,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 3800.x

$\chi_{3800}(457,\cdot)$ $\chi_{3800}(3193,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	$\Q(\zeta_{5})$

Values on generators

$(951,1901,1977,401)$ → $(1,1,-i,1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3800 }(3193, a)$	$-1$	$1$	$i$	$-i$	$-1$	$1$	$i$	$-i$	$1$	$i$	$-i$	$-1$