Dirichlet character χ2557(38,⋅)\chi_{2557}(38,\cdot)

• Label: 2557.38
• Modulus: $2557$
• Conductor: $2557$
• Order: $852$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2557$
Conductor:	$2557$
Order:	$852$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2557.p

$\chi_{2557}(8,\cdot)$ $\chi_{2557}(20,\cdot)$ $\chi_{2557}(22,\cdot)$ $\chi_{2557}(35,\cdot)$ $\chi_{2557}(38,\cdot)$ $\chi_{2557}(45,\cdot)$ $\chi_{2557}(46,\cdot)$ $\chi_{2557}(58,\cdot)$ $\chi_{2557}(65,\cdot)$ $\chi_{2557}(68,\cdot)$ $\chi_{2557}(74,\cdot)$ $\chi_{2557}(101,\cdot)$ $\chi_{2557}(115,\cdot)$ $\chi_{2557}(118,\cdot)$ $\chi_{2557}(119,\cdot)$ $\chi_{2557}(123,\cdot)$ $\chi_{2557}(125,\cdot)$ $\chi_{2557}(153,\cdot)$ $\chi_{2557}(168,\cdot)$ $\chi_{2557}(172,\cdot)$ $\chi_{2557}(188,\cdot)$ $\chi_{2557}(201,\cdot)$ $\chi_{2557}(216,\cdot)$ $\chi_{2557}(221,\cdot)$ $\chi_{2557}(223,\cdot)$ $\chi_{2557}(239,\cdot)$ $\chi_{2557}(240,\cdot)$ $\chi_{2557}(249,\cdot)$ $\chi_{2557}(264,\cdot)$ $\chi_{2557}(267,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{852})$
Fixed field:	Number field defined by a degree 852 polynomial (not computed)

Values on generators

$2$ → $e\left(\frac{239}{852}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2557 }(38, a)$	$-1$	$1$	$e\left(\frac{239}{852}\right)$	$e\left(\frac{134}{213}\right)$	$e\left(\frac{239}{426}\right)$	$e\left(\frac{89}{852}\right)$	$e\left(\frac{775}{852}\right)$	$e\left(\frac{347}{426}\right)$	$e\left(\frac{239}{284}\right)$	$e\left(\frac{55}{213}\right)$	$e\left(\frac{82}{213}\right)$	$e\left(\frac{19}{213}\right)$