Dirichlet character χ1925(303,⋅)\chi_{1925}(303,\cdot)

• Label: 1925.303
• 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.gl

$\chi_{1925}(72,\cdot)$ $\chi_{1925}(233,\cdot)$ $\chi_{1925}(303,\cdot)$ $\chi_{1925}(338,\cdot)$ $\chi_{1925}(347,\cdot)$ $\chi_{1925}(508,\cdot)$ $\chi_{1925}(578,\cdot)$ $\chi_{1925}(613,\cdot)$ $\chi_{1925}(898,\cdot)$ $\chi_{1925}(1052,\cdot)$ $\chi_{1925}(1173,\cdot)$ $\chi_{1925}(1262,\cdot)$ $\chi_{1925}(1327,\cdot)$ $\chi_{1925}(1537,\cdot)$ $\chi_{1925}(1542,\cdot)$ $\chi_{1925}(1817,\cdot)$

Related number fields

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

Values on generators

$(1002,276,1751)$ → $(e\left(\frac{7}{20}\right),e\left(\frac{1}{3}\right),e\left(\frac{9}{10}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{ 1925 }(303, a)$	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{9}{10}\right)$	$-i$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{59}{60}\right)$