Dirichlet character \(\chi_{6030}(121,\cdot)\)

• Label: 6030.121
• Modulus: $6030$
• Conductor: $603$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6030\)
Conductor:	\(603\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{603}(121,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 6030.cq

\(\chi_{6030}(121,\cdot)\) \(\chi_{6030}(211,\cdot)\) \(\chi_{6030}(691,\cdot)\) \(\chi_{6030}(1021,\cdot)\) \(\chi_{6030}(1111,\cdot)\) \(\chi_{6030}(1411,\cdot)\) \(\chi_{6030}(2311,\cdot)\) \(\chi_{6030}(2401,\cdot)\) \(\chi_{6030}(2461,\cdot)\) \(\chi_{6030}(2581,\cdot)\) \(\chi_{6030}(2941,\cdot)\) \(\chi_{6030}(4171,\cdot)\) \(\chi_{6030}(4201,\cdot)\) \(\chi_{6030}(4381,\cdot)\) \(\chi_{6030}(4441,\cdot)\) \(\chi_{6030}(4621,\cdot)\) \(\chi_{6030}(4981,\cdot)\) \(\chi_{6030}(5281,\cdot)\) \(\chi_{6030}(5701,\cdot)\) \(\chi_{6030}(5731,\cdot)\)

Related number fields

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

Values on generators

\((4691,1207,3151)\) → \((e\left(\frac{1}{3}\right),1,e\left(\frac{26}{33}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 6030 }(121, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(1\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{14}{33}\right)\)