Dirichlet character \(\chi_{4225}(1159,\cdot)\)

• Label: 4225.1159
• 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.da

\(\chi_{4225}(54,\cdot)\) \(\chi_{4225}(59,\cdot)\) \(\chi_{4225}(84,\cdot)\) \(\chi_{4225}(119,\cdot)\) \(\chi_{4225}(154,\cdot)\) \(\chi_{4225}(184,\cdot)\) \(\chi_{4225}(189,\cdot)\) \(\chi_{4225}(214,\cdot)\) \(\chi_{4225}(219,\cdot)\) \(\chi_{4225}(254,\cdot)\) \(\chi_{4225}(279,\cdot)\) \(\chi_{4225}(284,\cdot)\) \(\chi_{4225}(314,\cdot)\) \(\chi_{4225}(344,\cdot)\) \(\chi_{4225}(379,\cdot)\) \(\chi_{4225}(384,\cdot)\) \(\chi_{4225}(409,\cdot)\) \(\chi_{4225}(414,\cdot)\) \(\chi_{4225}(444,\cdot)\) \(\chi_{4225}(479,\cdot)\) \(\chi_{4225}(509,\cdot)\) \(\chi_{4225}(514,\cdot)\) \(\chi_{4225}(539,\cdot)\) \(\chi_{4225}(544,\cdot)\) \(\chi_{4225}(579,\cdot)\) \(\chi_{4225}(604,\cdot)\) \(\chi_{4225}(609,\cdot)\) \(\chi_{4225}(639,\cdot)\) \(\chi_{4225}(644,\cdot)\) \(\chi_{4225}(669,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{49}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(1159, a) \)	\(-1\)	\(1\)	\(e\left(\frac{11}{780}\right)\)	\(e\left(\frac{331}{390}\right)\)	\(e\left(\frac{11}{390}\right)\)	\(e\left(\frac{673}{780}\right)\)	\(e\left(\frac{17}{156}\right)\)	\(e\left(\frac{11}{260}\right)\)	\(e\left(\frac{136}{195}\right)\)	\(e\left(\frac{431}{780}\right)\)	\(e\left(\frac{57}{65}\right)\)	\(e\left(\frac{8}{65}\right)\)