Dirichlet character \(\chi_{5025}(1886,\cdot)\)

• Label: 5025.1886
• Modulus: $5025$
• Conductor: $5025$
• Order: $330$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(5025\)
Conductor:	\(5025\)
Order:	\(330\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 5025.dn

\(\chi_{5025}(56,\cdot)\) \(\chi_{5025}(71,\cdot)\) \(\chi_{5025}(86,\cdot)\) \(\chi_{5025}(116,\cdot)\) \(\chi_{5025}(236,\cdot)\) \(\chi_{5025}(266,\cdot)\) \(\chi_{5025}(341,\cdot)\) \(\chi_{5025}(356,\cdot)\) \(\chi_{5025}(371,\cdot)\) \(\chi_{5025}(596,\cdot)\) \(\chi_{5025}(686,\cdot)\) \(\chi_{5025}(791,\cdot)\) \(\chi_{5025}(821,\cdot)\) \(\chi_{5025}(881,\cdot)\) \(\chi_{5025}(971,\cdot)\) \(\chi_{5025}(1031,\cdot)\) \(\chi_{5025}(1061,\cdot)\) \(\chi_{5025}(1091,\cdot)\) \(\chi_{5025}(1121,\cdot)\) \(\chi_{5025}(1241,\cdot)\) \(\chi_{5025}(1271,\cdot)\) \(\chi_{5025}(1346,\cdot)\) \(\chi_{5025}(1361,\cdot)\) \(\chi_{5025}(1631,\cdot)\) \(\chi_{5025}(1691,\cdot)\) \(\chi_{5025}(1781,\cdot)\) \(\chi_{5025}(1796,\cdot)\) \(\chi_{5025}(1856,\cdot)\) \(\chi_{5025}(1886,\cdot)\) \(\chi_{5025}(1931,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

\((1676,202,3151)\) → \((-1,e\left(\frac{4}{5}\right),e\left(\frac{8}{33}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 5025 }(1886, a) \)	\(-1\)	\(1\)	\(e\left(\frac{179}{330}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{199}{330}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{136}{165}\right)\)