Dirichlet character χ2220(1069,⋅)\chi_{2220}(1069,\cdot)

• Label: 2220.1069
• Modulus: $2220$
• Conductor: $185$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2220$
Conductor:	$185$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{185}(144,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 2220.dg

$\chi_{2220}(49,\cdot)$ $\chi_{2220}(229,\cdot)$ $\chi_{2220}(349,\cdot)$ $\chi_{2220}(589,\cdot)$ $\chi_{2220}(1069,\cdot)$ $\chi_{2220}(1489,\cdot)$

Related number fields

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

Values on generators

$(1111,1481,1777,1741)$ → $(1,1,-1,e\left(\frac{5}{9}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$41$	$43$
$\chi_{ 2220 }(1069, a)$	$1$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{9}\right)$	$-1$