Dirichlet character \(\chi_{2057}(305,\cdot)\)

• Label: 2057.305
• Modulus: $2057$
• Conductor: $2057$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2057\)
Conductor:	\(2057\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2057.be

\(\chi_{2057}(50,\cdot)\) \(\chi_{2057}(84,\cdot)\) \(\chi_{2057}(101,\cdot)\) \(\chi_{2057}(237,\cdot)\) \(\chi_{2057}(271,\cdot)\) \(\chi_{2057}(288,\cdot)\) \(\chi_{2057}(305,\cdot)\) \(\chi_{2057}(424,\cdot)\) \(\chi_{2057}(458,\cdot)\) \(\chi_{2057}(492,\cdot)\) \(\chi_{2057}(611,\cdot)\) \(\chi_{2057}(662,\cdot)\) \(\chi_{2057}(679,\cdot)\) \(\chi_{2057}(798,\cdot)\) \(\chi_{2057}(832,\cdot)\) \(\chi_{2057}(849,\cdot)\) \(\chi_{2057}(866,\cdot)\) \(\chi_{2057}(985,\cdot)\) \(\chi_{2057}(1019,\cdot)\) \(\chi_{2057}(1036,\cdot)\) \(\chi_{2057}(1053,\cdot)\) \(\chi_{2057}(1172,\cdot)\) \(\chi_{2057}(1206,\cdot)\) \(\chi_{2057}(1223,\cdot)\) \(\chi_{2057}(1240,\cdot)\) \(\chi_{2057}(1359,\cdot)\) \(\chi_{2057}(1393,\cdot)\) \(\chi_{2057}(1410,\cdot)\) \(\chi_{2057}(1427,\cdot)\) \(\chi_{2057}(1580,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((970,122)\) → \((e\left(\frac{73}{110}\right),-1)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 2057 }(305, a) \)	\(-1\)	\(1\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{5}{22}\right)\)