Dirichlet character χ105(74,⋅)\chi_{105}(74,\cdot)

• Label: 105.74
• Modulus: $105$
• Conductor: $105$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$105$
Conductor:	$105$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 105.o

$\chi_{105}(44,\cdot)$ $\chi_{105}(74,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.8103375.1

Values on generators

$(71,22,31)$ → $(-1,-1,e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$17$	$19$	$22$	$23$
$\chi_{ 105 }(74, a)$	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum