Dirichlet character χ3267(838,⋅)\chi_{3267}(838,\cdot)

• Label: 3267.838
• Modulus: $3267$
• Conductor: $11$
• Order: $10$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$3267$
Conductor:	$11$
Order:	$10$
Real:	no
Primitive:	no, induced from $\chi_{11}(2,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 3267.l

$\chi_{3267}(838,\cdot)$ $\chi_{3267}(2296,\cdot)$ $\chi_{3267}(2944,\cdot)$ $\chi_{3267}(2998,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	$\Q(\zeta_{11})$

Values on generators

$(3026,244)$ → $(1,e\left(\frac{1}{10}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$13$	$14$	$16$	$17$
$\chi_{ 3267 }(838, a)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{10}\right)$