Dirichlet character χ260(199,⋅)\chi_{260}(199,\cdot)

• Label: 260.199
• Modulus: $260$
• Conductor: $260$
• Order: $6$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$260$
Conductor:	$260$
Order:	$6$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 260.w

$\chi_{260}(179,\cdot)$ $\chi_{260}(199,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.2970344000.1

Values on generators

$(131,157,41)$ → $(-1,-1,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$17$	$19$	$21$	$23$	$27$	$29$
$\chi_{ 260 }(199, a)$	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum