Dirichlet character \(\chi_{2898}(25,\cdot)\)

• Label: 2898.25
• Modulus: $2898$
• Conductor: $1449$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2898\)
Conductor:	\(1449\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{1449}(25,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 2898.bz

\(\chi_{2898}(25,\cdot)\) \(\chi_{2898}(121,\cdot)\) \(\chi_{2898}(151,\cdot)\) \(\chi_{2898}(403,\cdot)\) \(\chi_{2898}(499,\cdot)\) \(\chi_{2898}(625,\cdot)\) \(\chi_{2898}(877,\cdot)\) \(\chi_{2898}(1129,\cdot)\) \(\chi_{2898}(1159,\cdot)\) \(\chi_{2898}(1255,\cdot)\) \(\chi_{2898}(1411,\cdot)\) \(\chi_{2898}(1507,\cdot)\) \(\chi_{2898}(1789,\cdot)\) \(\chi_{2898}(1915,\cdot)\) \(\chi_{2898}(2263,\cdot)\) \(\chi_{2898}(2293,\cdot)\) \(\chi_{2898}(2419,\cdot)\) \(\chi_{2898}(2515,\cdot)\) \(\chi_{2898}(2671,\cdot)\) \(\chi_{2898}(2893,\cdot)\)

Related number fields

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

Values on generators

\((1289,829,1891)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{2}{3}\right),e\left(\frac{1}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(19\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 2898 }(25, a) \)	\(1\)	\(1\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{14}{33}\right)\)