Dirichlet character \(\chi_{5445}(34,\cdot)\)

• Label: 5445.34
• Modulus: $5445$
• Conductor: $5445$
• Order: $66$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5445\)
Conductor:	\(5445\)
Order:	\(66\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5445.ck

\(\chi_{5445}(34,\cdot)\) \(\chi_{5445}(529,\cdot)\) \(\chi_{5445}(859,\cdot)\) \(\chi_{5445}(1024,\cdot)\) \(\chi_{5445}(1354,\cdot)\) \(\chi_{5445}(1519,\cdot)\) \(\chi_{5445}(1849,\cdot)\) \(\chi_{5445}(2014,\cdot)\) \(\chi_{5445}(2344,\cdot)\) \(\chi_{5445}(2509,\cdot)\) \(\chi_{5445}(2839,\cdot)\) \(\chi_{5445}(3004,\cdot)\) \(\chi_{5445}(3334,\cdot)\) \(\chi_{5445}(3499,\cdot)\) \(\chi_{5445}(3829,\cdot)\) \(\chi_{5445}(4324,\cdot)\) \(\chi_{5445}(4489,\cdot)\) \(\chi_{5445}(4819,\cdot)\) \(\chi_{5445}(4984,\cdot)\) \(\chi_{5445}(5314,\cdot)\)

Related number fields

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

Values on generators

\((3026,4357,3511)\) → \((e\left(\frac{2}{3}\right),-1,e\left(\frac{5}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\( \chi_{ 5445 }(34, a) \)	\(1\)	\(1\)	\(e\left(\frac{41}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{43}{66}\right)\)