Dirichlet character χ108(95,⋅)\chi_{108}(95,\cdot)

• Label: 108.95
• Modulus: $108$
• Conductor: $108$
• Order: $18$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$108$
Conductor:	$108$
Order:	$18$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 108.l

$\chi_{108}(11,\cdot)$ $\chi_{108}(23,\cdot)$ $\chi_{108}(47,\cdot)$ $\chi_{108}(59,\cdot)$ $\chi_{108}(83,\cdot)$ $\chi_{108}(95,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	$\Q(\zeta_{108})^+$

Values on generators

$(55,29)$ → $(-1,e\left(\frac{17}{18}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 108 }(95, a)$	$1$	$1$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{7}{18}\right)$

Gauss sum

Jacobi sum

Kloosterman sum