Dirichlet character χ2925(1291,⋅)\chi_{2925}(1291,\cdot)

• Label: 2925.1291
• Modulus: $2925$
• Conductor: $2925$
• Order: $30$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2925$
Conductor:	$2925$
Order:	$30$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2925.fv

$\chi_{2925}(121,\cdot)$ $\chi_{2925}(556,\cdot)$ $\chi_{2925}(706,\cdot)$ $\chi_{2925}(1141,\cdot)$ $\chi_{2925}(1291,\cdot)$ $\chi_{2925}(2311,\cdot)$ $\chi_{2925}(2461,\cdot)$ $\chi_{2925}(2896,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{15})$
Fixed field:	Number field defined by a degree 30 polynomial

Values on generators

$(326,352,2251)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{1}{5}\right),e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 2925 }(1291, a)$	$1$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{2}{5}\right)$