Dirichlet character \(\chi_{4225}(1058,\cdot)\)

• Label: 4225.1058
• Modulus: $4225$
• Conductor: $4225$
• Order: $260$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(260\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4225.cn

\(\chi_{4225}(47,\cdot)\) \(\chi_{4225}(83,\cdot)\) \(\chi_{4225}(112,\cdot)\) \(\chi_{4225}(148,\cdot)\) \(\chi_{4225}(177,\cdot)\) \(\chi_{4225}(213,\cdot)\) \(\chi_{4225}(242,\cdot)\) \(\chi_{4225}(278,\cdot)\) \(\chi_{4225}(372,\cdot)\) \(\chi_{4225}(473,\cdot)\) \(\chi_{4225}(502,\cdot)\) \(\chi_{4225}(538,\cdot)\) \(\chi_{4225}(567,\cdot)\) \(\chi_{4225}(603,\cdot)\) \(\chi_{4225}(697,\cdot)\) \(\chi_{4225}(733,\cdot)\) \(\chi_{4225}(762,\cdot)\) \(\chi_{4225}(798,\cdot)\) \(\chi_{4225}(827,\cdot)\) \(\chi_{4225}(863,\cdot)\) \(\chi_{4225}(892,\cdot)\) \(\chi_{4225}(928,\cdot)\) \(\chi_{4225}(1022,\cdot)\) \(\chi_{4225}(1058,\cdot)\) \(\chi_{4225}(1087,\cdot)\) \(\chi_{4225}(1123,\cdot)\) \(\chi_{4225}(1152,\cdot)\) \(\chi_{4225}(1188,\cdot)\) \(\chi_{4225}(1217,\cdot)\) \(\chi_{4225}(1347,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{3}{20}\right),e\left(\frac{35}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(1058, a) \)	\(1\)	\(1\)	\(e\left(\frac{107}{130}\right)\)	\(e\left(\frac{133}{260}\right)\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{87}{260}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{61}{130}\right)\)	\(e\left(\frac{3}{130}\right)\)	\(e\left(\frac{189}{260}\right)\)	\(e\left(\frac{41}{260}\right)\)	\(e\left(\frac{77}{130}\right)\)