Dirichlet character χ1127(373,⋅)\chi_{1127}(373,\cdot)

• Label: 1127.373
• Modulus: $1127$
• Conductor: $161$
• Order: $66$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1127$
Conductor:	$161$
Order:	$66$
Real:	no
Primitive:	no, induced from $\chi_{161}(51,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1127.x

$\chi_{1127}(30,\cdot)$ $\chi_{1127}(67,\cdot)$ $\chi_{1127}(79,\cdot)$ $\chi_{1127}(214,\cdot)$ $\chi_{1127}(226,\cdot)$ $\chi_{1127}(263,\cdot)$ $\chi_{1127}(373,\cdot)$ $\chi_{1127}(410,\cdot)$ $\chi_{1127}(471,\cdot)$ $\chi_{1127}(520,\cdot)$ $\chi_{1127}(557,\cdot)$ $\chi_{1127}(569,\cdot)$ $\chi_{1127}(618,\cdot)$ $\chi_{1127}(655,\cdot)$ $\chi_{1127}(704,\cdot)$ $\chi_{1127}(753,\cdot)$ $\chi_{1127}(802,\cdot)$ $\chi_{1127}(912,\cdot)$ $\chi_{1127}(1010,\cdot)$ $\chi_{1127}(1096,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{33})$
Fixed field:	Number field defined by a degree 66 polynomial

Values on generators

$(346,442)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{1}{22}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 1127 }(373, a)$	$-1$	$1$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{19}{33}\right)$