Dirichlet character \(\chi_{2557}(493,\cdot)\)

• Label: 2557.493
• Modulus: $2557$
• Conductor: $2557$
• Order: $284$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2557\)
Conductor:	\(2557\)
Order:	\(284\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2557.m

\(\chi_{2557}(14,\cdot)\) \(\chi_{2557}(18,\cdot)\) \(\chi_{2557}(26,\cdot)\) \(\chi_{2557}(50,\cdot)\) \(\chi_{2557}(55,\cdot)\) \(\chi_{2557}(79,\cdot)\) \(\chi_{2557}(93,\cdot)\) \(\chi_{2557}(95,\cdot)\) \(\chi_{2557}(96,\cdot)\) \(\chi_{2557}(142,\cdot)\) \(\chi_{2557}(145,\cdot)\) \(\chi_{2557}(170,\cdot)\) \(\chi_{2557}(185,\cdot)\) \(\chi_{2557}(187,\cdot)\) \(\chi_{2557}(233,\cdot)\) \(\chi_{2557}(293,\cdot)\) \(\chi_{2557}(295,\cdot)\) \(\chi_{2557}(301,\cdot)\) \(\chi_{2557}(317,\cdot)\) \(\chi_{2557}(323,\cdot)\) \(\chi_{2557}(329,\cdot)\) \(\chi_{2557}(358,\cdot)\) \(\chi_{2557}(387,\cdot)\) \(\chi_{2557}(420,\cdot)\) \(\chi_{2557}(423,\cdot)\) \(\chi_{2557}(428,\cdot)\) \(\chi_{2557}(431,\cdot)\) \(\chi_{2557}(436,\cdot)\) \(\chi_{2557}(462,\cdot)\) \(\chi_{2557}(493,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{284})$
Fixed field:	Number field defined by a degree 284 polynomial (not computed)

Values on generators

\(2\) → \(e\left(\frac{15}{284}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2557 }(493, a) \)	\(-1\)	\(1\)	\(e\left(\frac{15}{284}\right)\)	\(e\left(\frac{50}{71}\right)\)	\(e\left(\frac{15}{142}\right)\)	\(e\left(\frac{65}{284}\right)\)	\(e\left(\frac{215}{284}\right)\)	\(e\left(\frac{121}{142}\right)\)	\(e\left(\frac{45}{284}\right)\)	\(e\left(\frac{29}{71}\right)\)	\(e\left(\frac{20}{71}\right)\)	\(e\left(\frac{41}{71}\right)\)