Dirichlet character \(\chi_{4225}(1769,\cdot)\)

• Label: 4225.1769
• Modulus: $4225$
• Conductor: $4225$
• Order: $130$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(130\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4225.cd

\(\chi_{4225}(14,\cdot)\) \(\chi_{4225}(79,\cdot)\) \(\chi_{4225}(144,\cdot)\) \(\chi_{4225}(209,\cdot)\) \(\chi_{4225}(404,\cdot)\) \(\chi_{4225}(469,\cdot)\) \(\chi_{4225}(534,\cdot)\) \(\chi_{4225}(664,\cdot)\) \(\chi_{4225}(729,\cdot)\) \(\chi_{4225}(794,\cdot)\) \(\chi_{4225}(859,\cdot)\) \(\chi_{4225}(989,\cdot)\) \(\chi_{4225}(1054,\cdot)\) \(\chi_{4225}(1119,\cdot)\) \(\chi_{4225}(1314,\cdot)\) \(\chi_{4225}(1379,\cdot)\) \(\chi_{4225}(1444,\cdot)\) \(\chi_{4225}(1509,\cdot)\) \(\chi_{4225}(1639,\cdot)\) \(\chi_{4225}(1704,\cdot)\) \(\chi_{4225}(1769,\cdot)\) \(\chi_{4225}(1834,\cdot)\) \(\chi_{4225}(1964,\cdot)\) \(\chi_{4225}(2094,\cdot)\) \(\chi_{4225}(2159,\cdot)\) \(\chi_{4225}(2289,\cdot)\) \(\chi_{4225}(2354,\cdot)\) \(\chi_{4225}(2419,\cdot)\) \(\chi_{4225}(2484,\cdot)\) \(\chi_{4225}(2614,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{9}{10}\right),e\left(\frac{2}{13}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(1769, a) \)	\(1\)	\(1\)	\(e\left(\frac{7}{130}\right)\)	\(e\left(\frac{49}{130}\right)\)	\(e\left(\frac{7}{65}\right)\)	\(e\left(\frac{28}{65}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{21}{130}\right)\)	\(e\left(\frac{49}{65}\right)\)	\(e\left(\frac{16}{65}\right)\)	\(e\left(\frac{63}{130}\right)\)	\(e\left(\frac{1}{65}\right)\)