Dirichlet character \(\chi_{4225}(29,\cdot)\)

• Label: 4225.29
• 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.cv

\(\chi_{4225}(9,\cdot)\) \(\chi_{4225}(29,\cdot)\) \(\chi_{4225}(94,\cdot)\) \(\chi_{4225}(139,\cdot)\) \(\chi_{4225}(159,\cdot)\) \(\chi_{4225}(204,\cdot)\) \(\chi_{4225}(269,\cdot)\) \(\chi_{4225}(289,\cdot)\) \(\chi_{4225}(334,\cdot)\) \(\chi_{4225}(354,\cdot)\) \(\chi_{4225}(419,\cdot)\) \(\chi_{4225}(464,\cdot)\) \(\chi_{4225}(594,\cdot)\) \(\chi_{4225}(614,\cdot)\) \(\chi_{4225}(659,\cdot)\) \(\chi_{4225}(679,\cdot)\) \(\chi_{4225}(744,\cdot)\) \(\chi_{4225}(789,\cdot)\) \(\chi_{4225}(809,\cdot)\) \(\chi_{4225}(854,\cdot)\) \(\chi_{4225}(919,\cdot)\) \(\chi_{4225}(939,\cdot)\) \(\chi_{4225}(984,\cdot)\) \(\chi_{4225}(1004,\cdot)\) \(\chi_{4225}(1069,\cdot)\) \(\chi_{4225}(1114,\cdot)\) \(\chi_{4225}(1134,\cdot)\) \(\chi_{4225}(1179,\cdot)\) \(\chi_{4225}(1244,\cdot)\) \(\chi_{4225}(1264,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{10}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(29, a) \)	\(1\)	\(1\)	\(e\left(\frac{139}{390}\right)\)	\(e\left(\frac{193}{390}\right)\)	\(e\left(\frac{139}{195}\right)\)	\(e\left(\frac{166}{195}\right)\)	\(e\left(\frac{73}{78}\right)\)	\(e\left(\frac{9}{130}\right)\)	\(e\left(\frac{193}{195}\right)\)	\(e\left(\frac{2}{195}\right)\)	\(e\left(\frac{27}{130}\right)\)	\(e\left(\frac{19}{65}\right)\)