Dirichlet character χ350(99,⋅)\chi_{350}(99,\cdot)

• Label: 350.99
• Modulus: $350$
• Conductor: $5$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$350$
Conductor:	$5$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{5}(4,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 350.c

$\chi_{350}(99,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{5})$

Values on generators

$(127,101)$ → $(-1,1)$

First values

$a$	$-1$	$1$	$3$	$9$	$11$	$13$	$17$	$19$	$23$	$27$	$29$	$31$
$\chi_{ 350 }(99, a)$	$1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$1$

Gauss sum

Jacobi sum

Kloosterman sum