Dirichlet character \(\chi_{4225}(4,\cdot)\)

• Label: 4225.4
• 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.ct

\(\chi_{4225}(4,\cdot)\) \(\chi_{4225}(69,\cdot)\) \(\chi_{4225}(114,\cdot)\) \(\chi_{4225}(134,\cdot)\) \(\chi_{4225}(179,\cdot)\) \(\chi_{4225}(244,\cdot)\) \(\chi_{4225}(264,\cdot)\) \(\chi_{4225}(309,\cdot)\) \(\chi_{4225}(329,\cdot)\) \(\chi_{4225}(394,\cdot)\) \(\chi_{4225}(439,\cdot)\) \(\chi_{4225}(459,\cdot)\) \(\chi_{4225}(504,\cdot)\) \(\chi_{4225}(569,\cdot)\) \(\chi_{4225}(589,\cdot)\) \(\chi_{4225}(634,\cdot)\) \(\chi_{4225}(719,\cdot)\) \(\chi_{4225}(764,\cdot)\) \(\chi_{4225}(784,\cdot)\) \(\chi_{4225}(829,\cdot)\) \(\chi_{4225}(894,\cdot)\) \(\chi_{4225}(914,\cdot)\) \(\chi_{4225}(959,\cdot)\) \(\chi_{4225}(979,\cdot)\) \(\chi_{4225}(1044,\cdot)\) \(\chi_{4225}(1089,\cdot)\) \(\chi_{4225}(1109,\cdot)\) \(\chi_{4225}(1154,\cdot)\) \(\chi_{4225}(1219,\cdot)\) \(\chi_{4225}(1239,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{1}{78}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(4, a) \)	\(1\)	\(1\)	\(e\left(\frac{22}{195}\right)\)	\(e\left(\frac{113}{390}\right)\)	\(e\left(\frac{44}{195}\right)\)	\(e\left(\frac{157}{390}\right)\)	\(e\left(\frac{34}{39}\right)\)	\(e\left(\frac{22}{65}\right)\)	\(e\left(\frac{113}{195}\right)\)	\(e\left(\frac{359}{390}\right)\)	\(e\left(\frac{67}{130}\right)\)	\(e\left(\frac{64}{65}\right)\)