Dirichlet character \(\chi_{4225}(2079,\cdot)\)

• Label: 4225.2079
• 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.cf

\(\chi_{4225}(64,\cdot)\) \(\chi_{4225}(129,\cdot)\) \(\chi_{4225}(194,\cdot)\) \(\chi_{4225}(259,\cdot)\) \(\chi_{4225}(389,\cdot)\) \(\chi_{4225}(454,\cdot)\) \(\chi_{4225}(519,\cdot)\) \(\chi_{4225}(584,\cdot)\) \(\chi_{4225}(714,\cdot)\) \(\chi_{4225}(779,\cdot)\) \(\chi_{4225}(909,\cdot)\) \(\chi_{4225}(1039,\cdot)\) \(\chi_{4225}(1104,\cdot)\) \(\chi_{4225}(1169,\cdot)\) \(\chi_{4225}(1234,\cdot)\) \(\chi_{4225}(1364,\cdot)\) \(\chi_{4225}(1429,\cdot)\) \(\chi_{4225}(1494,\cdot)\) \(\chi_{4225}(1559,\cdot)\) \(\chi_{4225}(1754,\cdot)\) \(\chi_{4225}(1819,\cdot)\) \(\chi_{4225}(1884,\cdot)\) \(\chi_{4225}(2014,\cdot)\) \(\chi_{4225}(2079,\cdot)\) \(\chi_{4225}(2144,\cdot)\) \(\chi_{4225}(2209,\cdot)\) \(\chi_{4225}(2339,\cdot)\) \(\chi_{4225}(2404,\cdot)\) \(\chi_{4225}(2469,\cdot)\) \(\chi_{4225}(2664,\cdot)\) ...

Related number fields

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

Values on generators

\((677,3551)\) → \((e\left(\frac{1}{10}\right),e\left(\frac{19}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(14\)
\( \chi_{ 4225 }(2079, a) \)	\(1\)	\(1\)	\(e\left(\frac{54}{65}\right)\)	\(e\left(\frac{41}{130}\right)\)	\(e\left(\frac{43}{65}\right)\)	\(e\left(\frac{19}{130}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(e\left(\frac{32}{65}\right)\)	\(e\left(\frac{41}{65}\right)\)	\(e\left(\frac{113}{130}\right)\)	\(e\left(\frac{127}{130}\right)\)	\(e\left(\frac{34}{65}\right)\)