Dirichlet character \(\chi_{5445}(166,\cdot)\)

• Label: 5445.166
• Modulus: $5445$
• Conductor: $1089$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5445\)
Conductor:	\(1089\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{1089}(166,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 5445.ca

\(\chi_{5445}(166,\cdot)\) \(\chi_{5445}(331,\cdot)\) \(\chi_{5445}(661,\cdot)\) \(\chi_{5445}(826,\cdot)\) \(\chi_{5445}(1156,\cdot)\) \(\chi_{5445}(1321,\cdot)\) \(\chi_{5445}(1651,\cdot)\) \(\chi_{5445}(2146,\cdot)\) \(\chi_{5445}(2311,\cdot)\) \(\chi_{5445}(2641,\cdot)\) \(\chi_{5445}(2806,\cdot)\) \(\chi_{5445}(3136,\cdot)\) \(\chi_{5445}(3301,\cdot)\) \(\chi_{5445}(3796,\cdot)\) \(\chi_{5445}(4126,\cdot)\) \(\chi_{5445}(4291,\cdot)\) \(\chi_{5445}(4621,\cdot)\) \(\chi_{5445}(4786,\cdot)\) \(\chi_{5445}(5116,\cdot)\) \(\chi_{5445}(5281,\cdot)\)

Related number fields

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

Values on generators

\((3026,4357,3511)\) → \((e\left(\frac{1}{3}\right),1,e\left(\frac{3}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\( \chi_{ 5445 }(166, a) \)	\(1\)	\(1\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{25}{33}\right)\)