Dirichlet character χ3645(2834,⋅)\chi_{3645}(2834,\cdot)

• Label: 3645.2834
• Modulus: $3645$
• Conductor: $135$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$3645$
Conductor:	$135$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{135}(14,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 3645.n

$\chi_{3645}(404,\cdot)$ $\chi_{3645}(809,\cdot)$ $\chi_{3645}(1619,\cdot)$ $\chi_{3645}(2024,\cdot)$ $\chi_{3645}(2834,\cdot)$ $\chi_{3645}(3239,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.5770142004982097067662109375.1

Values on generators

$(731,2917)$ → $(e\left(\frac{17}{18}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{ 3645 }(2834, a)$	$-1$	$1$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$