Dirichlet character \(\chi_{4225}(2371,\cdot)\)

• Label: 4225.2371
• Modulus: $4225$
• Conductor: $4225$
• Order: $260$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(260\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 4225.cr

\(\chi_{4225}(21,\cdot)\) \(\chi_{4225}(31,\cdot)\) \(\chi_{4225}(86,\cdot)\) \(\chi_{4225}(96,\cdot)\) \(\chi_{4225}(161,\cdot)\) \(\chi_{4225}(216,\cdot)\) \(\chi_{4225}(281,\cdot)\) \(\chi_{4225}(291,\cdot)\) \(\chi_{4225}(346,\cdot)\) \(\chi_{4225}(356,\cdot)\) \(\chi_{4225}(411,\cdot)\) \(\chi_{4225}(421,\cdot)\) \(\chi_{4225}(486,\cdot)\) \(\chi_{4225}(541,\cdot)\) \(\chi_{4225}(616,\cdot)\) \(\chi_{4225}(671,\cdot)\) \(\chi_{4225}(681,\cdot)\) \(\chi_{4225}(736,\cdot)\) \(\chi_{4225}(811,\cdot)\) \(\chi_{4225}(866,\cdot)\) \(\chi_{4225}(931,\cdot)\) \(\chi_{4225}(941,\cdot)\) \(\chi_{4225}(996,\cdot)\) \(\chi_{4225}(1006,\cdot)\) \(\chi_{4225}(1061,\cdot)\) \(\chi_{4225}(1071,\cdot)\) \(\chi_{4225}(1136,\cdot)\) \(\chi_{4225}(1191,\cdot)\) \(\chi_{4225}(1256,\cdot)\) \(\chi_{4225}(1266,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{260})$
Fixed field:	Number field defined by a degree 260 polynomial (not computed)

Values on generators

\((677,3551)\) → \((e\left(\frac{3}{5}\right),e\left(\frac{3}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(2371, a) \)	\(-1\)	\(1\)	\(e\left(\frac{171}{260}\right)\)	\(e\left(\frac{23}{65}\right)\)	\(e\left(\frac{41}{130}\right)\)	\(e\left(\frac{3}{260}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{253}{260}\right)\)	\(e\left(\frac{46}{65}\right)\)	\(e\left(\frac{141}{260}\right)\)	\(e\left(\frac{87}{130}\right)\)	\(e\left(\frac{54}{65}\right)\)