Dirichlet character χ1815(19,⋅)\chi_{1815}(19,\cdot)

• Label: 1815.19
• Modulus: $1815$
• Conductor: $605$
• Order: $110$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1815$
Conductor:	$605$
Order:	$110$
Real:	no
Primitive:	no, induced from $\chi_{605}(19,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 1815.br

$\chi_{1815}(19,\cdot)$ $\chi_{1815}(79,\cdot)$ $\chi_{1815}(139,\cdot)$ $\chi_{1815}(184,\cdot)$ $\chi_{1815}(244,\cdot)$ $\chi_{1815}(259,\cdot)$ $\chi_{1815}(304,\cdot)$ $\chi_{1815}(349,\cdot)$ $\chi_{1815}(409,\cdot)$ $\chi_{1815}(424,\cdot)$ $\chi_{1815}(469,\cdot)$ $\chi_{1815}(514,\cdot)$ $\chi_{1815}(574,\cdot)$ $\chi_{1815}(589,\cdot)$ $\chi_{1815}(634,\cdot)$ $\chi_{1815}(679,\cdot)$ $\chi_{1815}(739,\cdot)$ $\chi_{1815}(754,\cdot)$ $\chi_{1815}(799,\cdot)$ $\chi_{1815}(904,\cdot)$ $\chi_{1815}(919,\cdot)$ $\chi_{1815}(964,\cdot)$ $\chi_{1815}(1009,\cdot)$ $\chi_{1815}(1069,\cdot)$ $\chi_{1815}(1084,\cdot)$ $\chi_{1815}(1174,\cdot)$ $\chi_{1815}(1234,\cdot)$ $\chi_{1815}(1249,\cdot)$ $\chi_{1815}(1294,\cdot)$ $\chi_{1815}(1339,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

$(1211,727,1696)$ → $(1,-1,e\left(\frac{83}{110}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$19$	$23$
$\chi_{ 1815 }(19, a)$	$-1$	$1$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{7}{22}\right)$