Dirichlet character \(\chi_{2576}(579,\cdot)\)

• Label: 2576.579
• Modulus: $2576$
• Conductor: $2576$
• Order: $132$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2576\)
Conductor:	\(2576\)
Order:	\(132\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2576.dp

\(\chi_{2576}(3,\cdot)\) \(\chi_{2576}(59,\cdot)\) \(\chi_{2576}(75,\cdot)\) \(\chi_{2576}(131,\cdot)\) \(\chi_{2576}(187,\cdot)\) \(\chi_{2576}(243,\cdot)\) \(\chi_{2576}(395,\cdot)\) \(\chi_{2576}(579,\cdot)\) \(\chi_{2576}(675,\cdot)\) \(\chi_{2576}(731,\cdot)\) \(\chi_{2576}(859,\cdot)\) \(\chi_{2576}(899,\cdot)\) \(\chi_{2576}(915,\cdot)\) \(\chi_{2576}(955,\cdot)\) \(\chi_{2576}(1067,\cdot)\) \(\chi_{2576}(1083,\cdot)\) \(\chi_{2576}(1139,\cdot)\) \(\chi_{2576}(1179,\cdot)\) \(\chi_{2576}(1235,\cdot)\) \(\chi_{2576}(1251,\cdot)\) \(\chi_{2576}(1291,\cdot)\) \(\chi_{2576}(1347,\cdot)\) \(\chi_{2576}(1363,\cdot)\) \(\chi_{2576}(1419,\cdot)\) \(\chi_{2576}(1475,\cdot)\) \(\chi_{2576}(1531,\cdot)\) \(\chi_{2576}(1683,\cdot)\) \(\chi_{2576}(1867,\cdot)\) \(\chi_{2576}(1963,\cdot)\) \(\chi_{2576}(2019,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{132})$
Fixed field:	Number field defined by a degree 132 polynomial (not computed)

Values on generators

\((2255,645,1473,1569)\) → \((-1,-i,e\left(\frac{5}{6}\right),e\left(\frac{2}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(25\)	\(27\)
\( \chi_{ 2576 }(579, a) \)	\(1\)	\(1\)	\(e\left(\frac{65}{132}\right)\)	\(e\left(\frac{13}{132}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{85}{132}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{21}{44}\right)\)