Dirichlet character χ2557(1066,⋅)\chi_{2557}(1066,\cdot)

• Label: 2557.1066
• Modulus: $2557$
• Conductor: $2557$
• Order: $639$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2557$
Conductor:	$2557$
Order:	$639$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2557.o

$\chi_{2557}(3,\cdot)$ $\chi_{2557}(9,\cdot)$ $\chi_{2557}(10,\cdot)$ $\chi_{2557}(11,\cdot)$ $\chi_{2557}(13,\cdot)$ $\chi_{2557}(16,\cdot)$ $\chi_{2557}(19,\cdot)$ $\chi_{2557}(28,\cdot)$ $\chi_{2557}(48,\cdot)$ $\chi_{2557}(49,\cdot)$ $\chi_{2557}(71,\cdot)$ $\chi_{2557}(81,\cdot)$ $\chi_{2557}(84,\cdot)$ $\chi_{2557}(85,\cdot)$ $\chi_{2557}(90,\cdot)$ $\chi_{2557}(92,\cdot)$ $\chi_{2557}(99,\cdot)$ $\chi_{2557}(100,\cdot)$ $\chi_{2557}(110,\cdot)$ $\chi_{2557}(116,\cdot)$ $\chi_{2557}(117,\cdot)$ $\chi_{2557}(121,\cdot)$ $\chi_{2557}(130,\cdot)$ $\chi_{2557}(136,\cdot)$ $\chi_{2557}(143,\cdot)$ $\chi_{2557}(147,\cdot)$ $\chi_{2557}(148,\cdot)$ $\chi_{2557}(158,\cdot)$ $\chi_{2557}(161,\cdot)$ $\chi_{2557}(169,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{639})$
Fixed field:	Number field defined by a degree 639 polynomial (not computed)

Values on generators

$2$ → $e\left(\frac{554}{639}\right)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{ 2557 }(1066, a)$	$1$	$1$	$e\left(\frac{554}{639}\right)$	$e\left(\frac{263}{639}\right)$	$e\left(\frac{469}{639}\right)$	$e\left(\frac{389}{639}\right)$	$e\left(\frac{178}{639}\right)$	$e\left(\frac{238}{639}\right)$	$e\left(\frac{128}{213}\right)$	$e\left(\frac{526}{639}\right)$	$e\left(\frac{304}{639}\right)$	$e\left(\frac{538}{639}\right)$