Dirichlet character χ855(374,⋅)\chi_{855}(374,\cdot)

• Label: 855.374
• Modulus: $855$
• Conductor: $855$
• Order: $18$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$855$
Conductor:	$855$
Order:	$18$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 855.co

$\chi_{855}(299,\cdot)$ $\chi_{855}(344,\cdot)$ $\chi_{855}(374,\cdot)$ $\chi_{855}(509,\cdot)$ $\chi_{855}(599,\cdot)$ $\chi_{855}(839,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.18.81623484842733584357749488935542564453125.2

Values on generators

$(191,172,496)$ → $(e\left(\frac{5}{6}\right),-1,e\left(\frac{5}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 855 }(374, a)$	$1$	$1$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{2}{9}\right)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{7}{9}\right)$

Gauss sum

Jacobi sum

Kloosterman sum