Dirichlet character \(\chi_{28900}(1239,\cdot)\)

• Label: 28900.1239
• Modulus: $28900$
• Conductor: $28900$
• Order: $680$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(28900\)
Conductor:	\(28900\)
Order:	\(680\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 28900.fe

\(\chi_{28900}(19,\cdot)\) \(\chi_{28900}(59,\cdot)\) \(\chi_{28900}(219,\cdot)\) \(\chi_{28900}(359,\cdot)\) \(\chi_{28900}(519,\cdot)\) \(\chi_{28900}(559,\cdot)\) \(\chi_{28900}(739,\cdot)\) \(\chi_{28900}(859,\cdot)\) \(\chi_{28900}(1039,\cdot)\) \(\chi_{28900}(1079,\cdot)\) \(\chi_{28900}(1239,\cdot)\) \(\chi_{28900}(1379,\cdot)\) \(\chi_{28900}(1419,\cdot)\) \(\chi_{28900}(1539,\cdot)\) \(\chi_{28900}(1719,\cdot)\) \(\chi_{28900}(1759,\cdot)\) \(\chi_{28900}(1879,\cdot)\) \(\chi_{28900}(1919,\cdot)\) \(\chi_{28900}(2059,\cdot)\) \(\chi_{28900}(2219,\cdot)\) \(\chi_{28900}(2259,\cdot)\) \(\chi_{28900}(2439,\cdot)\) \(\chi_{28900}(2559,\cdot)\) \(\chi_{28900}(2739,\cdot)\) \(\chi_{28900}(2779,\cdot)\) \(\chi_{28900}(2939,\cdot)\) \(\chi_{28900}(3079,\cdot)\) \(\chi_{28900}(3119,\cdot)\) \(\chi_{28900}(3239,\cdot)\) \(\chi_{28900}(3279,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{680})$
Fixed field:	Number field defined by a degree 680 polynomial (not computed)

Values on generators

\((14451,24277,23701)\) → \((-1,e\left(\frac{3}{10}\right),e\left(\frac{59}{136}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(19\)	\(21\)	\(23\)	\(27\)	\(29\)
\( \chi_{ 28900 }(1239, a) \)	\(-1\)	\(1\)	\(e\left(\frac{23}{680}\right)\)	\(e\left(\frac{33}{136}\right)\)	\(e\left(\frac{23}{340}\right)\)	\(e\left(\frac{189}{680}\right)\)	\(e\left(\frac{62}{85}\right)\)	\(e\left(\frac{331}{340}\right)\)	\(e\left(\frac{47}{170}\right)\)	\(e\left(\frac{369}{680}\right)\)	\(e\left(\frac{69}{680}\right)\)	\(e\left(\frac{563}{680}\right)\)