Dirichlet character χ185(159,⋅)\chi_{185}(159,\cdot)

• Label: 185.159
• Modulus: $185$
• Conductor: $185$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$185$
Conductor:	$185$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 185.l

$\chi_{185}(64,\cdot)$ $\chi_{185}(159,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.8667994625.1

Values on generators

$(112,76)$ → $(-1,e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 185 }(159, a)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum