Dirichlet character χ201(38,⋅)\chi_{201}(38,\cdot)

• Label: 201.38
• Modulus: $201$
• Conductor: $201$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$201$
Conductor:	$201$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 201.f

$\chi_{201}(38,\cdot)$ $\chi_{201}(164,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.36453377889.1

Values on generators

$(68,136)$ → $(-1,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$11$	$13$	$14$	$16$
$\chi_{ 201 }(38, a)$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum