Dirichlet character χ2159(1123,⋅)\chi_{2159}(1123,\cdot)

• Label: 2159.1123
• Modulus: $2159$
• Conductor: $127$
• Order: $3$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2159$
Conductor:	$127$
Order:	$3$
Real:	no
Primitive:	no, induced from $\chi_{127}(107,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2159.e

$\chi_{2159}(273,\cdot)$ $\chi_{2159}(1123,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	3.3.16129.1

Values on generators

$(1652,511)$ → $(1,e\left(\frac{1}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2159 }(1123, a)$	$1$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$