Dirichlet character χ1881(778,⋅)\chi_{1881}(778,\cdot)

• Label: 1881.778
• Modulus: $1881$
• Conductor: $1881$
• Order: $30$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1881$
Conductor:	$1881$
Order:	$30$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1881.ds

$\chi_{1881}(94,\cdot)$ $\chi_{1881}(151,\cdot)$ $\chi_{1881}(436,\cdot)$ $\chi_{1881}(607,\cdot)$ $\chi_{1881}(778,\cdot)$ $\chi_{1881}(1348,\cdot)$ $\chi_{1881}(1690,\cdot)$ $\chi_{1881}(1861,\cdot)$

Related number fields

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

Values on generators

$(1046,343,496)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{3}{10}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$13$	$14$	$16$	$17$
$\chi_{ 1881 }(778, a)$	$1$	$1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{2}{5}\right)$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{7}{10}\right)$