Dirichlet character χ3267(3070,⋅)\chi_{3267}(3070,\cdot)

• Label: 3267.3070
• Modulus: $3267$
• Conductor: $1089$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3267$
Conductor:	$1089$
Order:	$33$
Real:	no
Primitive:	no, induced from $\chi_{1089}(529,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 3267.y

$\chi_{3267}(100,\cdot)$ $\chi_{3267}(199,\cdot)$ $\chi_{3267}(397,\cdot)$ $\chi_{3267}(496,\cdot)$ $\chi_{3267}(694,\cdot)$ $\chi_{3267}(793,\cdot)$ $\chi_{3267}(991,\cdot)$ $\chi_{3267}(1288,\cdot)$ $\chi_{3267}(1387,\cdot)$ $\chi_{3267}(1585,\cdot)$ $\chi_{3267}(1684,\cdot)$ $\chi_{3267}(1882,\cdot)$ $\chi_{3267}(1981,\cdot)$ $\chi_{3267}(2278,\cdot)$ $\chi_{3267}(2476,\cdot)$ $\chi_{3267}(2575,\cdot)$ $\chi_{3267}(2773,\cdot)$ $\chi_{3267}(2872,\cdot)$ $\chi_{3267}(3070,\cdot)$ $\chi_{3267}(3169,\cdot)$

Related number fields

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

Values on generators

$(3026,244)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{3}{11}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$13$	$14$	$16$	$17$
$\chi_{ 3267 }(3070, a)$	$1$	$1$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{4}{11}\right)$