Dirichlet character χ1925(3,⋅)\chi_{1925}(3,\cdot)

• Label: 1925.3
• Modulus: $1925$
• Conductor: $1925$
• Order: $60$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1925$
Conductor:	$1925$
Order:	$60$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1925.fo

$\chi_{1925}(3,\cdot)$ $\chi_{1925}(47,\cdot)$ $\chi_{1925}(262,\cdot)$ $\chi_{1925}(278,\cdot)$ $\chi_{1925}(367,\cdot)$ $\chi_{1925}(423,\cdot)$ $\chi_{1925}(537,\cdot)$ $\chi_{1925}(577,\cdot)$ $\chi_{1925}(642,\cdot)$ $\chi_{1925}(698,\cdot)$ $\chi_{1925}(852,\cdot)$ $\chi_{1925}(983,\cdot)$ $\chi_{1925}(1258,\cdot)$ $\chi_{1925}(1263,\cdot)$ $\chi_{1925}(1538,\cdot)$ $\chi_{1925}(1697,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{60})$
Fixed field:	Number field defined by a degree 60 polynomial

Values on generators

$(1002,276,1751)$ → $(e\left(\frac{7}{20}\right),e\left(\frac{1}{6}\right),e\left(\frac{4}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{ 1925 }(3, a)$	$1$	$1$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{29}{30}\right)$	$-1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{12}\right)$