Dirichlet character \(\chi_{4225}(241,\cdot)\)

• Label: 4225.241
• Modulus: $4225$
• Conductor: $4225$
• Order: $780$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(780\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 4225.cx

\(\chi_{4225}(6,\cdot)\) \(\chi_{4225}(11,\cdot)\) \(\chi_{4225}(41,\cdot)\) \(\chi_{4225}(46,\cdot)\) \(\chi_{4225}(71,\cdot)\) \(\chi_{4225}(106,\cdot)\) \(\chi_{4225}(111,\cdot)\) \(\chi_{4225}(136,\cdot)\) \(\chi_{4225}(141,\cdot)\) \(\chi_{4225}(171,\cdot)\) \(\chi_{4225}(206,\cdot)\) \(\chi_{4225}(236,\cdot)\) \(\chi_{4225}(241,\cdot)\) \(\chi_{4225}(266,\cdot)\) \(\chi_{4225}(271,\cdot)\) \(\chi_{4225}(306,\cdot)\) \(\chi_{4225}(331,\cdot)\) \(\chi_{4225}(336,\cdot)\) \(\chi_{4225}(366,\cdot)\) \(\chi_{4225}(371,\cdot)\) \(\chi_{4225}(396,\cdot)\) \(\chi_{4225}(431,\cdot)\) \(\chi_{4225}(436,\cdot)\) \(\chi_{4225}(461,\cdot)\) \(\chi_{4225}(466,\cdot)\) \(\chi_{4225}(496,\cdot)\) \(\chi_{4225}(531,\cdot)\) \(\chi_{4225}(561,\cdot)\) \(\chi_{4225}(566,\cdot)\) \(\chi_{4225}(591,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{780})$
Fixed field:	Number field defined by a degree 780 polynomial (not computed)

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{95}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(241, a) \)	\(-1\)	\(1\)	\(e\left(\frac{631}{780}\right)\)	\(e\left(\frac{178}{195}\right)\)	\(e\left(\frac{241}{390}\right)\)	\(e\left(\frac{563}{780}\right)\)	\(e\left(\frac{25}{156}\right)\)	\(e\left(\frac{111}{260}\right)\)	\(e\left(\frac{161}{195}\right)\)	\(e\left(\frac{721}{780}\right)\)	\(e\left(\frac{69}{130}\right)\)	\(e\left(\frac{63}{65}\right)\)