Dirichlet character χ5850(1141,⋅)\chi_{5850}(1141,\cdot)

• Label: 5850.1141
• Modulus: $5850$
• Conductor: $2925$
• Order: $30$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$5850$
Conductor:	$2925$
Order:	$30$
Real:	no
Primitive:	no, induced from $\chi_{2925}(1141,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 5850.fr

$\chi_{5850}(121,\cdot)$ $\chi_{5850}(1141,\cdot)$ $\chi_{5850}(1291,\cdot)$ $\chi_{5850}(2311,\cdot)$ $\chi_{5850}(2461,\cdot)$ $\chi_{5850}(3481,\cdot)$ $\chi_{5850}(3631,\cdot)$ $\chi_{5850}(5821,\cdot)$

Related number fields

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

Values on generators

$(3251,3277,2251)$ → $(e\left(\frac{2}{3}\right),e\left(\frac{1}{5}\right),e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$7$	$11$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 5850 }(1141, a)$	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{3}\right)$