Dirichlet character χ3800(1899,⋅)\chi_{3800}(1899,\cdot)

• Label: 3800.1899
• Modulus: $3800$
• Conductor: $760$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3800$
Conductor:	$760$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{760}(379,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 3800.p

$\chi_{3800}(1899,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{190})$

Values on generators

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

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$21$	$23$	$27$	$29$
$\chi_{ 3800 }(1899, a)$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$