Dirichlet character χ1815(614,⋅)\chi_{1815}(614,\cdot)

• Label: 1815.614
• Modulus: $1815$
• Conductor: $165$
• Order: $10$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1815$
Conductor:	$165$
Order:	$10$
Real:	no
Primitive:	no, induced from $\chi_{165}(119,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1815.o

$\chi_{1815}(269,\cdot)$ $\chi_{1815}(614,\cdot)$ $\chi_{1815}(1049,\cdot)$ $\chi_{1815}(1334,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	10.0.162778775259375.1

Values on generators

$(1211,727,1696)$ → $(-1,-1,e\left(\frac{3}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$19$	$23$
$\chi_{ 1815 }(614, a)$	$-1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$1$