Dirichlet character χ1925(1083,⋅)\chi_{1925}(1083,\cdot)

• Label: 1925.1083
• 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.ge

$\chi_{1925}(192,\cdot)$ $\chi_{1925}(213,\cdot)$ $\chi_{1925}(467,\cdot)$ $\chi_{1925}(488,\cdot)$ $\chi_{1925}(647,\cdot)$ $\chi_{1925}(773,\cdot)$ $\chi_{1925}(808,\cdot)$ $\chi_{1925}(878,\cdot)$ $\chi_{1925}(922,\cdot)$ $\chi_{1925}(927,\cdot)$ $\chi_{1925}(1048,\cdot)$ $\chi_{1925}(1083,\cdot)$ $\chi_{1925}(1137,\cdot)$ $\chi_{1925}(1153,\cdot)$ $\chi_{1925}(1202,\cdot)$ $\chi_{1925}(1412,\cdot)$

Related number fields

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

Values on generators

$(1002,276,1751)$ → $(e\left(\frac{3}{20}\right),e\left(\frac{5}{6}\right),e\left(\frac{2}{5}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{ 1925 }(1083, a)$	$1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{31}{60}\right)$	$-i$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{23}{60}\right)$