Dirichlet character χ1925(46,⋅)\chi_{1925}(46,\cdot)

• Label: 1925.46
• Modulus: $1925$
• Conductor: $1925$
• Order: $30$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1925$
Conductor:	$1925$
Order:	$30$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1925.eb

$\chi_{1925}(46,\cdot)$ $\chi_{1925}(261,\cdot)$ $\chi_{1925}(536,\cdot)$ $\chi_{1925}(1381,\cdot)$ $\chi_{1925}(1591,\cdot)$ $\chi_{1925}(1656,\cdot)$ $\chi_{1925}(1696,\cdot)$ $\chi_{1925}(1866,\cdot)$

Related number fields

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

Values on generators

$(1002,276,1751)$ → $(e\left(\frac{3}{5}\right),e\left(\frac{2}{3}\right),e\left(\frac{1}{10}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{ 1925 }(46, a)$	$-1$	$1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{15}\right)$	$-1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$