Dirichlet character χ1815(16,⋅)\chi_{1815}(16,\cdot)

• Label: 1815.16
• Modulus: $1815$
• Conductor: $121$
• Order: $55$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1815$
Conductor:	$121$
Order:	$55$
Real:	no
Primitive:	no, induced from $\chi_{121}(16,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1815.bk

$\chi_{1815}(16,\cdot)$ $\chi_{1815}(31,\cdot)$ $\chi_{1815}(91,\cdot)$ $\chi_{1815}(136,\cdot)$ $\chi_{1815}(181,\cdot)$ $\chi_{1815}(196,\cdot)$ $\chi_{1815}(256,\cdot)$ $\chi_{1815}(301,\cdot)$ $\chi_{1815}(346,\cdot)$ $\chi_{1815}(361,\cdot)$ $\chi_{1815}(421,\cdot)$ $\chi_{1815}(466,\cdot)$ $\chi_{1815}(526,\cdot)$ $\chi_{1815}(586,\cdot)$ $\chi_{1815}(631,\cdot)$ $\chi_{1815}(676,\cdot)$ $\chi_{1815}(691,\cdot)$ $\chi_{1815}(751,\cdot)$ $\chi_{1815}(796,\cdot)$ $\chi_{1815}(841,\cdot)$ $\chi_{1815}(916,\cdot)$ $\chi_{1815}(961,\cdot)$ $\chi_{1815}(1006,\cdot)$ $\chi_{1815}(1021,\cdot)$ $\chi_{1815}(1081,\cdot)$ $\chi_{1815}(1126,\cdot)$ $\chi_{1815}(1171,\cdot)$ $\chi_{1815}(1186,\cdot)$ $\chi_{1815}(1246,\cdot)$ $\chi_{1815}(1336,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 55 polynomial

Values on generators

$(1211,727,1696)$ → $(1,1,e\left(\frac{2}{55}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$19$	$23$
$\chi_{ 1815 }(16, a)$	$1$	$1$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{6}{11}\right)$