Dirichlet character χ2793(1354,⋅)\chi_{2793}(1354,\cdot)

• Label: 2793.1354
• Modulus: $2793$
• Conductor: $133$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$2793$
Conductor:	$133$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{133}(24,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 2793.cb

$\chi_{2793}(313,\cdot)$ $\chi_{2793}(460,\cdot)$ $\chi_{2793}(472,\cdot)$ $\chi_{2793}(1354,\cdot)$ $\chi_{2793}(2077,\cdot)$ $\chi_{2793}(2677,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.1369393352927188877370217151752183.2

Values on generators

$(932,2110,2206)$ → $(1,e\left(\frac{1}{6}\right),e\left(\frac{8}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(1354, a)$	$-1$	$1$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{18}\right)$	$-1$