Dirichlet character χ1064(181,⋅)\chi_{1064}(181,\cdot)

• Label: 1064.181
• Modulus: $1064$
• Conductor: $1064$
• Order: $18$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1064$
Conductor:	$1064$
Order:	$18$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1064.em

$\chi_{1064}(13,\cdot)$ $\chi_{1064}(181,\cdot)$ $\chi_{1064}(573,\cdot)$ $\chi_{1064}(629,\cdot)$ $\chi_{1064}(965,\cdot)$ $\chi_{1064}(1021,\cdot)$

Related number fields

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

Values on generators

$(799,533,913,1009)$ → $(1,-1,-1,e\left(\frac{17}{18}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$23$	$25$	$27$
$\chi_{ 1064 }(181, a)$	$1$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{5}{6}\right)$