Dirichlet character \(\chi_{2057}(1052,\cdot)\)

• Label: 2057.1052
• Modulus: $2057$
• Conductor: $2057$
• Order: $440$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2057\)
Conductor:	\(2057\)
Order:	\(440\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2057.bl

\(\chi_{2057}(2,\cdot)\) \(\chi_{2057}(8,\cdot)\) \(\chi_{2057}(19,\cdot)\) \(\chi_{2057}(83,\cdot)\) \(\chi_{2057}(117,\cdot)\) \(\chi_{2057}(127,\cdot)\) \(\chi_{2057}(128,\cdot)\) \(\chi_{2057}(134,\cdot)\) \(\chi_{2057}(138,\cdot)\) \(\chi_{2057}(145,\cdot)\) \(\chi_{2057}(151,\cdot)\) \(\chi_{2057}(162,\cdot)\) \(\chi_{2057}(172,\cdot)\) \(\chi_{2057}(178,\cdot)\) \(\chi_{2057}(189,\cdot)\) \(\chi_{2057}(195,\cdot)\) \(\chi_{2057}(206,\cdot)\) \(\chi_{2057}(270,\cdot)\) \(\chi_{2057}(281,\cdot)\) \(\chi_{2057}(304,\cdot)\) \(\chi_{2057}(314,\cdot)\) \(\chi_{2057}(315,\cdot)\) \(\chi_{2057}(321,\cdot)\) \(\chi_{2057}(325,\cdot)\) \(\chi_{2057}(332,\cdot)\) \(\chi_{2057}(338,\cdot)\) \(\chi_{2057}(348,\cdot)\) \(\chi_{2057}(349,\cdot)\) \(\chi_{2057}(359,\cdot)\) \(\chi_{2057}(365,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{440})$
Fixed field:	Number field defined by a degree 440 polynomial (not computed)

Values on generators

\((970,122)\) → \((e\left(\frac{97}{110}\right),e\left(\frac{3}{8}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 2057 }(1052, a) \)	\(-1\)	\(1\)	\(e\left(\frac{29}{220}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{57}{440}\right)\)	\(e\left(\frac{47}{440}\right)\)	\(e\left(\frac{131}{440}\right)\)	\(e\left(\frac{87}{220}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{23}{88}\right)\)	\(e\left(\frac{21}{88}\right)\)