Dirichlet character \(\chi_{4225}(581,\cdot)\)

• Label: 4225.581
• Modulus: $4225$
• Conductor: $4225$
• Order: $195$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4225\)
Conductor:	\(4225\)
Order:	\(195\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4225.cm

\(\chi_{4225}(16,\cdot)\) \(\chi_{4225}(61,\cdot)\) \(\chi_{4225}(81,\cdot)\) \(\chi_{4225}(211,\cdot)\) \(\chi_{4225}(256,\cdot)\) \(\chi_{4225}(321,\cdot)\) \(\chi_{4225}(341,\cdot)\) \(\chi_{4225}(386,\cdot)\) \(\chi_{4225}(406,\cdot)\) \(\chi_{4225}(471,\cdot)\) \(\chi_{4225}(516,\cdot)\) \(\chi_{4225}(536,\cdot)\) \(\chi_{4225}(581,\cdot)\) \(\chi_{4225}(646,\cdot)\) \(\chi_{4225}(666,\cdot)\) \(\chi_{4225}(711,\cdot)\) \(\chi_{4225}(731,\cdot)\) \(\chi_{4225}(796,\cdot)\) \(\chi_{4225}(841,\cdot)\) \(\chi_{4225}(861,\cdot)\) \(\chi_{4225}(906,\cdot)\) \(\chi_{4225}(971,\cdot)\) \(\chi_{4225}(1056,\cdot)\) \(\chi_{4225}(1121,\cdot)\) \(\chi_{4225}(1166,\cdot)\) \(\chi_{4225}(1186,\cdot)\) \(\chi_{4225}(1231,\cdot)\) \(\chi_{4225}(1296,\cdot)\) \(\chi_{4225}(1316,\cdot)\) \(\chi_{4225}(1361,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{2}{5}\right),e\left(\frac{38}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(581, a) \)	\(1\)	\(1\)	\(e\left(\frac{73}{195}\right)\)	\(e\left(\frac{121}{195}\right)\)	\(e\left(\frac{146}{195}\right)\)	\(e\left(\frac{194}{195}\right)\)	\(e\left(\frac{10}{39}\right)\)	\(e\left(\frac{8}{65}\right)\)	\(e\left(\frac{47}{195}\right)\)	\(e\left(\frac{148}{195}\right)\)	\(e\left(\frac{24}{65}\right)\)	\(e\left(\frac{41}{65}\right)\)