Dirichlet character \(\chi_{4225}(723,\cdot)\)

• Label: 4225.723
• Modulus: $4225$
• Conductor: $4225$
• Order: $260$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 4225.cs

\(\chi_{4225}(8,\cdot)\) \(\chi_{4225}(73,\cdot)\) \(\chi_{4225}(122,\cdot)\) \(\chi_{4225}(138,\cdot)\) \(\chi_{4225}(187,\cdot)\) \(\chi_{4225}(203,\cdot)\) \(\chi_{4225}(252,\cdot)\) \(\chi_{4225}(317,\cdot)\) \(\chi_{4225}(333,\cdot)\) \(\chi_{4225}(398,\cdot)\) \(\chi_{4225}(447,\cdot)\) \(\chi_{4225}(463,\cdot)\) \(\chi_{4225}(512,\cdot)\) \(\chi_{4225}(528,\cdot)\) \(\chi_{4225}(642,\cdot)\) \(\chi_{4225}(658,\cdot)\) \(\chi_{4225}(723,\cdot)\) \(\chi_{4225}(772,\cdot)\) \(\chi_{4225}(788,\cdot)\) \(\chi_{4225}(837,\cdot)\) \(\chi_{4225}(853,\cdot)\) \(\chi_{4225}(902,\cdot)\) \(\chi_{4225}(967,\cdot)\) \(\chi_{4225}(983,\cdot)\) \(\chi_{4225}(1048,\cdot)\) \(\chi_{4225}(1097,\cdot)\) \(\chi_{4225}(1162,\cdot)\) \(\chi_{4225}(1178,\cdot)\) \(\chi_{4225}(1227,\cdot)\) \(\chi_{4225}(1292,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{11}{20}\right),e\left(\frac{21}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(723, a) \)	\(1\)	\(1\)	\(e\left(\frac{62}{65}\right)\)	\(e\left(\frac{241}{260}\right)\)	\(e\left(\frac{59}{65}\right)\)	\(e\left(\frac{229}{260}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{56}{65}\right)\)	\(e\left(\frac{111}{130}\right)\)	\(e\left(\frac{103}{260}\right)\)	\(e\left(\frac{217}{260}\right)\)	\(e\left(\frac{119}{130}\right)\)