Dirichlet character \(\chi_{2057}(399,\cdot)\)

• Label: 2057.399
• Modulus: $2057$
• Conductor: $2057$
• Order: $440$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 2057.bk

\(\chi_{2057}(15,\cdot)\) \(\chi_{2057}(25,\cdot)\) \(\chi_{2057}(26,\cdot)\) \(\chi_{2057}(36,\cdot)\) \(\chi_{2057}(42,\cdot)\) \(\chi_{2057}(49,\cdot)\) \(\chi_{2057}(53,\cdot)\) \(\chi_{2057}(59,\cdot)\) \(\chi_{2057}(60,\cdot)\) \(\chi_{2057}(70,\cdot)\) \(\chi_{2057}(93,\cdot)\) \(\chi_{2057}(104,\cdot)\) \(\chi_{2057}(168,\cdot)\) \(\chi_{2057}(179,\cdot)\) \(\chi_{2057}(185,\cdot)\) \(\chi_{2057}(196,\cdot)\) \(\chi_{2057}(212,\cdot)\) \(\chi_{2057}(213,\cdot)\) \(\chi_{2057}(223,\cdot)\) \(\chi_{2057}(229,\cdot)\) \(\chi_{2057}(236,\cdot)\) \(\chi_{2057}(240,\cdot)\) \(\chi_{2057}(246,\cdot)\) \(\chi_{2057}(247,\cdot)\) \(\chi_{2057}(257,\cdot)\) \(\chi_{2057}(280,\cdot)\) \(\chi_{2057}(291,\cdot)\) \(\chi_{2057}(355,\cdot)\) \(\chi_{2057}(383,\cdot)\) \(\chi_{2057}(389,\cdot)\) ...

Related number fields

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

Values on generators

\((970,122)\) → \((e\left(\frac{34}{55}\right),e\left(\frac{5}{8}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 2057 }(399, a) \)	\(1\)	\(1\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{383}{440}\right)\)	\(e\left(\frac{173}{440}\right)\)	\(e\left(\frac{89}{440}\right)\)	\(e\left(\frac{23}{220}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{21}{88}\right)\)	\(e\left(\frac{67}{88}\right)\)