Dirichlet character \(\chi_{4225}(1002,\cdot)\)

• Label: 4225.1002
• 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.cq

\(\chi_{4225}(27,\cdot)\) \(\chi_{4225}(53,\cdot)\) \(\chi_{4225}(92,\cdot)\) \(\chi_{4225}(183,\cdot)\) \(\chi_{4225}(222,\cdot)\) \(\chi_{4225}(248,\cdot)\) \(\chi_{4225}(287,\cdot)\) \(\chi_{4225}(313,\cdot)\) \(\chi_{4225}(352,\cdot)\) \(\chi_{4225}(378,\cdot)\) \(\chi_{4225}(417,\cdot)\) \(\chi_{4225}(547,\cdot)\) \(\chi_{4225}(573,\cdot)\) \(\chi_{4225}(612,\cdot)\) \(\chi_{4225}(638,\cdot)\) \(\chi_{4225}(703,\cdot)\) \(\chi_{4225}(742,\cdot)\) \(\chi_{4225}(833,\cdot)\) \(\chi_{4225}(872,\cdot)\) \(\chi_{4225}(898,\cdot)\) \(\chi_{4225}(937,\cdot)\) \(\chi_{4225}(963,\cdot)\) \(\chi_{4225}(1002,\cdot)\) \(\chi_{4225}(1028,\cdot)\) \(\chi_{4225}(1067,\cdot)\) \(\chi_{4225}(1158,\cdot)\) \(\chi_{4225}(1197,\cdot)\) \(\chi_{4225}(1223,\cdot)\) \(\chi_{4225}(1262,\cdot)\) \(\chi_{4225}(1288,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{20}\right),e\left(\frac{4}{13}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(1002, a) \)	\(-1\)	\(1\)	\(e\left(\frac{93}{260}\right)\)	\(e\left(\frac{131}{260}\right)\)	\(e\left(\frac{93}{130}\right)\)	\(e\left(\frac{56}{65}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{19}{260}\right)\)	\(e\left(\frac{1}{130}\right)\)	\(e\left(\frac{32}{65}\right)\)	\(e\left(\frac{57}{260}\right)\)	\(e\left(\frac{69}{130}\right)\)