Dirichlet character χ8325(3124,⋅)\chi_{8325}(3124,\cdot)

• Label: 8325.3124
• Modulus: $8325$
• Conductor: $185$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$8325$
Conductor:	$185$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{185}(164,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 8325.ex

$\chi_{8325}(2449,\cdot)$ $\chi_{8325}(3124,\cdot)$ $\chi_{8325}(4474,\cdot)$ $\chi_{8325}(5374,\cdot)$ $\chi_{8325}(5599,\cdot)$ $\chi_{8325}(7174,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	Number field defined by a degree 18 polynomial

Values on generators

$(3701,7327,5626)$ → $(1,-1,e\left(\frac{1}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 8325 }(3124, a)$	$1$	$1$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{8}{9}\right)$