Dirichlet character χ2557(1001,⋅)\chi_{2557}(1001,\cdot)

• Label: 2557.1001
• Modulus: $2557$
• Conductor: $2557$
• Order: $426$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2557$
Conductor:	$2557$
Order:	$426$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2557.n

$\chi_{2557}(12,\cdot)$ $\chi_{2557}(21,\cdot)$ $\chi_{2557}(62,\cdot)$ $\chi_{2557}(64,\cdot)$ $\chi_{2557}(69,\cdot)$ $\chi_{2557}(75,\cdot)$ $\chi_{2557}(97,\cdot)$ $\chi_{2557}(112,\cdot)$ $\chi_{2557}(178,\cdot)$ $\chi_{2557}(197,\cdot)$ $\chi_{2557}(205,\cdot)$ $\chi_{2557}(226,\cdot)$ $\chi_{2557}(241,\cdot)$ $\chi_{2557}(258,\cdot)$ $\chi_{2557}(282,\cdot)$ $\chi_{2557}(283,\cdot)$ $\chi_{2557}(334,\cdot)$ $\chi_{2557}(343,\cdot)$ $\chi_{2557}(353,\cdot)$ $\chi_{2557}(360,\cdot)$ $\chi_{2557}(362,\cdot)$ $\chi_{2557}(368,\cdot)$ $\chi_{2557}(396,\cdot)$ $\chi_{2557}(400,\cdot)$ $\chi_{2557}(415,\cdot)$ $\chi_{2557}(433,\cdot)$ $\chi_{2557}(440,\cdot)$ $\chi_{2557}(467,\cdot)$ $\chi_{2557}(484,\cdot)$ $\chi_{2557}(520,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{213})$
Fixed field:	Number field defined by a degree 426 polynomial (not computed)

Values on generators

$2$ → $e\left(\frac{191}{426}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2557 }(1001, a)$	$1$	$1$	$e\left(\frac{191}{426}\right)$	$e\left(\frac{19}{213}\right)$	$e\left(\frac{191}{213}\right)$	$e\left(\frac{23}{426}\right)$	$e\left(\frac{229}{426}\right)$	$e\left(\frac{116}{213}\right)$	$e\left(\frac{49}{142}\right)$	$e\left(\frac{38}{213}\right)$	$e\left(\frac{107}{213}\right)$	$e\left(\frac{17}{213}\right)$