Dirichlet character \(\chi_{15800}(9379,\cdot)\)

• Label: 15800.9379
• Modulus: $15800$
• Conductor: $15800$
• Order: $130$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(15800\)
Conductor:	\(15800\)
Order:	\(130\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 15800.fv

\(\chi_{15800}(219,\cdot)\) \(\chi_{15800}(659,\cdot)\) \(\chi_{15800}(859,\cdot)\) \(\chi_{15800}(1019,\cdot)\) \(\chi_{15800}(1139,\cdot)\) \(\chi_{15800}(1779,\cdot)\) \(\chi_{15800}(2619,\cdot)\) \(\chi_{15800}(2779,\cdot)\) \(\chi_{15800}(2859,\cdot)\) \(\chi_{15800}(3019,\cdot)\) \(\chi_{15800}(3059,\cdot)\) \(\chi_{15800}(3139,\cdot)\) \(\chi_{15800}(3379,\cdot)\) \(\chi_{15800}(3819,\cdot)\) \(\chi_{15800}(4019,\cdot)\) \(\chi_{15800}(4179,\cdot)\) \(\chi_{15800}(4939,\cdot)\) \(\chi_{15800}(5779,\cdot)\) \(\chi_{15800}(5939,\cdot)\) \(\chi_{15800}(6019,\cdot)\) \(\chi_{15800}(6179,\cdot)\) \(\chi_{15800}(6219,\cdot)\) \(\chi_{15800}(6539,\cdot)\) \(\chi_{15800}(6979,\cdot)\) \(\chi_{15800}(7179,\cdot)\) \(\chi_{15800}(7339,\cdot)\) \(\chi_{15800}(7459,\cdot)\) \(\chi_{15800}(8939,\cdot)\) \(\chi_{15800}(9179,\cdot)\) \(\chi_{15800}(9339,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{65})$
Fixed field:	Number field defined by a degree 130 polynomial (not computed)

Values on generators

\((3951,7901,11377,12801)\) → \((-1,-1,e\left(\frac{1}{10}\right),e\left(\frac{11}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\( \chi_{ 15800 }(9379, a) \)	\(1\)	\(1\)	\(e\left(\frac{8}{65}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{16}{65}\right)\)	\(e\left(\frac{24}{65}\right)\)	\(e\left(\frac{51}{65}\right)\)	\(e\left(\frac{12}{65}\right)\)	\(e\left(\frac{22}{65}\right)\)	\(e\left(\frac{71}{130}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{24}{65}\right)\)