Dirichlet character \(\chi_{4225}(38,\cdot)\)

• Label: 4225.38
• 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.cp

\(\chi_{4225}(12,\cdot)\) \(\chi_{4225}(38,\cdot)\) \(\chi_{4225}(77,\cdot)\) \(\chi_{4225}(103,\cdot)\) \(\chi_{4225}(142,\cdot)\) \(\chi_{4225}(233,\cdot)\) \(\chi_{4225}(272,\cdot)\) \(\chi_{4225}(298,\cdot)\) \(\chi_{4225}(363,\cdot)\) \(\chi_{4225}(402,\cdot)\) \(\chi_{4225}(428,\cdot)\) \(\chi_{4225}(467,\cdot)\) \(\chi_{4225}(558,\cdot)\) \(\chi_{4225}(597,\cdot)\) \(\chi_{4225}(623,\cdot)\) \(\chi_{4225}(662,\cdot)\) \(\chi_{4225}(688,\cdot)\) \(\chi_{4225}(727,\cdot)\) \(\chi_{4225}(753,\cdot)\) \(\chi_{4225}(792,\cdot)\) \(\chi_{4225}(883,\cdot)\) \(\chi_{4225}(922,\cdot)\) \(\chi_{4225}(948,\cdot)\) \(\chi_{4225}(987,\cdot)\) \(\chi_{4225}(1052,\cdot)\) \(\chi_{4225}(1078,\cdot)\) \(\chi_{4225}(1117,\cdot)\) \(\chi_{4225}(1208,\cdot)\) \(\chi_{4225}(1247,\cdot)\) \(\chi_{4225}(1273,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{19}{20}\right),e\left(\frac{11}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(38, a) \)	\(-1\)	\(1\)	\(e\left(\frac{97}{260}\right)\)	\(e\left(\frac{29}{260}\right)\)	\(e\left(\frac{97}{130}\right)\)	\(e\left(\frac{63}{130}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{31}{260}\right)\)	\(e\left(\frac{29}{130}\right)\)	\(e\left(\frac{101}{130}\right)\)	\(e\left(\frac{223}{260}\right)\)	\(e\left(\frac{51}{130}\right)\)