Dirichlet character χ2557(27,⋅)\chi_{2557}(27,\cdot)

• Label: 2557.27
• Modulus: $2557$
• Conductor: $2557$
• Order: $213$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2557$
Conductor:	$2557$
Order:	$213$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2557.l

$\chi_{2557}(27,\cdot)$ $\chi_{2557}(39,\cdot)$ $\chi_{2557}(82,\cdot)$ $\chi_{2557}(144,\cdot)$ $\chi_{2557}(149,\cdot)$ $\chi_{2557}(208,\cdot)$ $\chi_{2557}(213,\cdot)$ $\chi_{2557}(255,\cdot)$ $\chi_{2557}(257,\cdot)$ $\chi_{2557}(280,\cdot)$ $\chi_{2557}(307,\cdot)$ $\chi_{2557}(308,\cdot)$ $\chi_{2557}(335,\cdot)$ $\chi_{2557}(441,\cdot)$ $\chi_{2557}(445,\cdot)$ $\chi_{2557}(454,\cdot)$ $\chi_{2557}(487,\cdot)$ $\chi_{2557}(490,\cdot)$ $\chi_{2557}(502,\cdot)$ $\chi_{2557}(511,\cdot)$ $\chi_{2557}(532,\cdot)$ $\chi_{2557}(537,\cdot)$ $\chi_{2557}(539,\cdot)$ $\chi_{2557}(565,\cdot)$ $\chi_{2557}(618,\cdot)$ $\chi_{2557}(636,\cdot)$ $\chi_{2557}(637,\cdot)$ $\chi_{2557}(641,\cdot)$ $\chi_{2557}(654,\cdot)$ $\chi_{2557}(697,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{213})$
Fixed field:	Number field defined by a degree 213 polynomial (not computed)

Values on generators

$2$ → $e\left(\frac{169}{213}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2557 }(27, a)$	$1$	$1$	$e\left(\frac{169}{213}\right)$	$e\left(\frac{76}{213}\right)$	$e\left(\frac{125}{213}\right)$	$e\left(\frac{46}{213}\right)$	$e\left(\frac{32}{213}\right)$	$e\left(\frac{38}{213}\right)$	$e\left(\frac{27}{71}\right)$	$e\left(\frac{152}{213}\right)$	$e\left(\frac{2}{213}\right)$	$e\left(\frac{68}{213}\right)$