Dirichlet character \(\chi_{4225}(3821,\cdot)\)

• Label: 4225.3821
• Modulus: $4225$
• Conductor: $4225$
• Order: $130$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(130\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4225.ce

\(\chi_{4225}(116,\cdot)\) \(\chi_{4225}(181,\cdot)\) \(\chi_{4225}(246,\cdot)\) \(\chi_{4225}(311,\cdot)\) \(\chi_{4225}(441,\cdot)\) \(\chi_{4225}(571,\cdot)\) \(\chi_{4225}(636,\cdot)\) \(\chi_{4225}(766,\cdot)\) \(\chi_{4225}(831,\cdot)\) \(\chi_{4225}(896,\cdot)\) \(\chi_{4225}(961,\cdot)\) \(\chi_{4225}(1091,\cdot)\) \(\chi_{4225}(1156,\cdot)\) \(\chi_{4225}(1221,\cdot)\) \(\chi_{4225}(1286,\cdot)\) \(\chi_{4225}(1416,\cdot)\) \(\chi_{4225}(1481,\cdot)\) \(\chi_{4225}(1546,\cdot)\) \(\chi_{4225}(1611,\cdot)\) \(\chi_{4225}(1741,\cdot)\) \(\chi_{4225}(1806,\cdot)\) \(\chi_{4225}(1871,\cdot)\) \(\chi_{4225}(1936,\cdot)\) \(\chi_{4225}(2066,\cdot)\) \(\chi_{4225}(2131,\cdot)\) \(\chi_{4225}(2261,\cdot)\) \(\chi_{4225}(2391,\cdot)\) \(\chi_{4225}(2456,\cdot)\) \(\chi_{4225}(2521,\cdot)\) \(\chi_{4225}(2586,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{65})$
Fixed field:	Number field defined by a degree 130 polynomial (not computed)

Values on generators

\((677,3551)\) → \((e\left(\frac{3}{5}\right),e\left(\frac{25}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(3821, a) \)	\(1\)	\(1\)	\(e\left(\frac{73}{130}\right)\)	\(e\left(\frac{28}{65}\right)\)	\(e\left(\frac{8}{65}\right)\)	\(e\left(\frac{129}{130}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{89}{130}\right)\)	\(e\left(\frac{56}{65}\right)\)	\(e\left(\frac{83}{130}\right)\)	\(e\left(\frac{36}{65}\right)\)	\(e\left(\frac{29}{65}\right)\)