Dirichlet character χ119(104,⋅)\chi_{119}(104,\cdot)

• Label: 119.104
• Modulus: $119$
• Conductor: $119$
• Order: $8$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$119$
Conductor:	$119$
Order:	$8$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 119.l

$\chi_{119}(76,\cdot)$ $\chi_{119}(83,\cdot)$ $\chi_{119}(104,\cdot)$ $\chi_{119}(111,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{8})$
Fixed field:	8.0.985223153873.1

Values on generators

$(52,71)$ → $(-1,e\left(\frac{7}{8}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 119 }(104, a)$	$-1$	$1$	$i$	$e\left(\frac{3}{8}\right)$	$-1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{8}\right)$	$-i$	$-i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{8}\right)$

Gauss sum

Jacobi sum

Kloosterman sum