Dirichlet character \(\chi_{2898}(725,\cdot)\)

• Label: 2898.725
• Modulus: $2898$
• Conductor: $1449$
• Order: $66$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2898\)
Conductor:	\(1449\)
Order:	\(66\)
Real:	no
Primitive:	no, induced from \(\chi_{1449}(725,\cdot)\)
Minimal:	yes
Parity:	odd

Galois orbit 2898.db

\(\chi_{2898}(95,\cdot)\) \(\chi_{2898}(317,\cdot)\) \(\chi_{2898}(347,\cdot)\) \(\chi_{2898}(443,\cdot)\) \(\chi_{2898}(473,\cdot)\) \(\chi_{2898}(725,\cdot)\) \(\chi_{2898}(821,\cdot)\) \(\chi_{2898}(947,\cdot)\) \(\chi_{2898}(1199,\cdot)\) \(\chi_{2898}(1451,\cdot)\) \(\chi_{2898}(1481,\cdot)\) \(\chi_{2898}(1577,\cdot)\) \(\chi_{2898}(1733,\cdot)\) \(\chi_{2898}(1829,\cdot)\) \(\chi_{2898}(2111,\cdot)\) \(\chi_{2898}(2237,\cdot)\) \(\chi_{2898}(2585,\cdot)\) \(\chi_{2898}(2615,\cdot)\) \(\chi_{2898}(2741,\cdot)\) \(\chi_{2898}(2837,\cdot)\)

Related number fields

Field of values:	\(\Q(\zeta_{33})\)
Fixed field:	Number field defined by a degree 66 polynomial

Values on generators

\((1289,829,1891)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{2}{3}\right),e\left(\frac{10}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(19\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 2898 }(725, a) \)	\(-1\)	\(1\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{5}{66}\right)\)