Dirichlet character \(\chi_{2415}(1592,\cdot)\)

• Label: 2415.1592
• Modulus: $2415$
• Conductor: $2415$
• Order: $132$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2415\)
Conductor:	\(2415\)
Order:	\(132\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2415.do

\(\chi_{2415}(17,\cdot)\) \(\chi_{2415}(38,\cdot)\) \(\chi_{2415}(122,\cdot)\) \(\chi_{2415}(143,\cdot)\) \(\chi_{2415}(152,\cdot)\) \(\chi_{2415}(227,\cdot)\) \(\chi_{2415}(332,\cdot)\) \(\chi_{2415}(362,\cdot)\) \(\chi_{2415}(383,\cdot)\) \(\chi_{2415}(458,\cdot)\) \(\chi_{2415}(467,\cdot)\) \(\chi_{2415}(488,\cdot)\) \(\chi_{2415}(563,\cdot)\) \(\chi_{2415}(572,\cdot)\) \(\chi_{2415}(677,\cdot)\) \(\chi_{2415}(773,\cdot)\) \(\chi_{2415}(803,\cdot)\) \(\chi_{2415}(908,\cdot)\) \(\chi_{2415}(962,\cdot)\) \(\chi_{2415}(983,\cdot)\) \(\chi_{2415}(1088,\cdot)\) \(\chi_{2415}(1118,\cdot)\) \(\chi_{2415}(1193,\cdot)\) \(\chi_{2415}(1298,\cdot)\) \(\chi_{2415}(1307,\cdot)\) \(\chi_{2415}(1328,\cdot)\) \(\chi_{2415}(1433,\cdot)\) \(\chi_{2415}(1487,\cdot)\) \(\chi_{2415}(1538,\cdot)\) \(\chi_{2415}(1592,\cdot)\) ...

Related number fields

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

Values on generators

\((806,967,346,1891)\) → \((-1,i,e\left(\frac{1}{6}\right),e\left(\frac{1}{22}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(26\)
\( \chi_{ 2415 }(1592, a) \)	\(1\)	\(1\)	\(e\left(\frac{23}{132}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{23}{44}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{31}{132}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(-i\)	\(e\left(\frac{2}{33}\right)\)