Dirichlet character \(\chi_{4225}(34,\cdot)\)

• Label: 4225.34
• 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.co

\(\chi_{4225}(34,\cdot)\) \(\chi_{4225}(44,\cdot)\) \(\chi_{4225}(109,\cdot)\) \(\chi_{4225}(164,\cdot)\) \(\chi_{4225}(229,\cdot)\) \(\chi_{4225}(294,\cdot)\) \(\chi_{4225}(304,\cdot)\) \(\chi_{4225}(359,\cdot)\) \(\chi_{4225}(369,\cdot)\) \(\chi_{4225}(434,\cdot)\) \(\chi_{4225}(489,\cdot)\) \(\chi_{4225}(554,\cdot)\) \(\chi_{4225}(564,\cdot)\) \(\chi_{4225}(619,\cdot)\) \(\chi_{4225}(629,\cdot)\) \(\chi_{4225}(684,\cdot)\) \(\chi_{4225}(694,\cdot)\) \(\chi_{4225}(759,\cdot)\) \(\chi_{4225}(814,\cdot)\) \(\chi_{4225}(879,\cdot)\) \(\chi_{4225}(889,\cdot)\) \(\chi_{4225}(954,\cdot)\) \(\chi_{4225}(1009,\cdot)\) \(\chi_{4225}(1019,\cdot)\) \(\chi_{4225}(1139,\cdot)\) \(\chi_{4225}(1204,\cdot)\) \(\chi_{4225}(1214,\cdot)\) \(\chi_{4225}(1269,\cdot)\) \(\chi_{4225}(1279,\cdot)\) \(\chi_{4225}(1334,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{49}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(34, a) \)	\(-1\)	\(1\)	\(e\left(\frac{167}{260}\right)\)	\(e\left(\frac{97}{130}\right)\)	\(e\left(\frac{37}{130}\right)\)	\(e\left(\frac{101}{260}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{241}{260}\right)\)	\(e\left(\frac{32}{65}\right)\)	\(e\left(\frac{67}{260}\right)\)	\(e\left(\frac{2}{65}\right)\)	\(e\left(\frac{63}{65}\right)\)