Dirichlet character \(\chi_{4225}(491,\cdot)\)

• Label: 4225.491
• Modulus: $4225$
• Conductor: $4225$
• Order: $390$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(390\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4225.cu

\(\chi_{4225}(36,\cdot)\) \(\chi_{4225}(56,\cdot)\) \(\chi_{4225}(121,\cdot)\) \(\chi_{4225}(166,\cdot)\) \(\chi_{4225}(186,\cdot)\) \(\chi_{4225}(231,\cdot)\) \(\chi_{4225}(296,\cdot)\) \(\chi_{4225}(381,\cdot)\) \(\chi_{4225}(446,\cdot)\) \(\chi_{4225}(491,\cdot)\) \(\chi_{4225}(511,\cdot)\) \(\chi_{4225}(556,\cdot)\) \(\chi_{4225}(621,\cdot)\) \(\chi_{4225}(641,\cdot)\) \(\chi_{4225}(686,\cdot)\) \(\chi_{4225}(706,\cdot)\) \(\chi_{4225}(771,\cdot)\) \(\chi_{4225}(816,\cdot)\) \(\chi_{4225}(836,\cdot)\) \(\chi_{4225}(881,\cdot)\) \(\chi_{4225}(946,\cdot)\) \(\chi_{4225}(966,\cdot)\) \(\chi_{4225}(1011,\cdot)\) \(\chi_{4225}(1031,\cdot)\) \(\chi_{4225}(1096,\cdot)\) \(\chi_{4225}(1141,\cdot)\) \(\chi_{4225}(1271,\cdot)\) \(\chi_{4225}(1291,\cdot)\) \(\chi_{4225}(1336,\cdot)\) \(\chi_{4225}(1356,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{195})$
Fixed field:	Number field defined by a degree 390 polynomial (not computed)

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{41}{78}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(491, a) \)	\(1\)	\(1\)	\(e\left(\frac{283}{390}\right)\)	\(e\left(\frac{113}{195}\right)\)	\(e\left(\frac{88}{195}\right)\)	\(e\left(\frac{119}{390}\right)\)	\(e\left(\frac{19}{78}\right)\)	\(e\left(\frac{23}{130}\right)\)	\(e\left(\frac{31}{195}\right)\)	\(e\left(\frac{133}{390}\right)\)	\(e\left(\frac{2}{65}\right)\)	\(e\left(\frac{63}{65}\right)\)