Dirichlet character \(\chi_{4225}(977,\cdot)\)

• Label: 4225.977
• Modulus: $4225$
• Conductor: $4225$
• Order: $780$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 4225.cw

\(\chi_{4225}(2,\cdot)\) \(\chi_{4225}(33,\cdot)\) \(\chi_{4225}(63,\cdot)\) \(\chi_{4225}(67,\cdot)\) \(\chi_{4225}(97,\cdot)\) \(\chi_{4225}(98,\cdot)\) \(\chi_{4225}(128,\cdot)\) \(\chi_{4225}(162,\cdot)\) \(\chi_{4225}(163,\cdot)\) \(\chi_{4225}(197,\cdot)\) \(\chi_{4225}(227,\cdot)\) \(\chi_{4225}(228,\cdot)\) \(\chi_{4225}(262,\cdot)\) \(\chi_{4225}(292,\cdot)\) \(\chi_{4225}(323,\cdot)\) \(\chi_{4225}(327,\cdot)\) \(\chi_{4225}(358,\cdot)\) \(\chi_{4225}(388,\cdot)\) \(\chi_{4225}(392,\cdot)\) \(\chi_{4225}(422,\cdot)\) \(\chi_{4225}(423,\cdot)\) \(\chi_{4225}(453,\cdot)\) \(\chi_{4225}(487,\cdot)\) \(\chi_{4225}(522,\cdot)\) \(\chi_{4225}(552,\cdot)\) \(\chi_{4225}(553,\cdot)\) \(\chi_{4225}(583,\cdot)\) \(\chi_{4225}(617,\cdot)\) \(\chi_{4225}(648,\cdot)\) \(\chi_{4225}(652,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{20}\right),e\left(\frac{73}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(977, a) \)	\(1\)	\(1\)	\(e\left(\frac{101}{195}\right)\)	\(e\left(\frac{293}{780}\right)\)	\(e\left(\frac{7}{195}\right)\)	\(e\left(\frac{697}{780}\right)\)	\(e\left(\frac{25}{78}\right)\)	\(e\left(\frac{36}{65}\right)\)	\(e\left(\frac{293}{390}\right)\)	\(e\left(\frac{779}{780}\right)\)	\(e\left(\frac{107}{260}\right)\)	\(e\left(\frac{109}{130}\right)\)