Dirichlet character \(\chi_{4235}(131,\cdot)\)

• Label: 4235.131
• Modulus: $4235$
• Conductor: $847$
• Order: $66$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4235\)
Conductor:	\(847\)
Order:	\(66\)
Real:	no
Primitive:	no, induced from \(\chi_{847}(131,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 4235.cm

\(\chi_{4235}(131,\cdot)\) \(\chi_{4235}(516,\cdot)\) \(\chi_{4235}(626,\cdot)\) \(\chi_{4235}(901,\cdot)\) \(\chi_{4235}(1011,\cdot)\) \(\chi_{4235}(1286,\cdot)\) \(\chi_{4235}(1396,\cdot)\) \(\chi_{4235}(1671,\cdot)\) \(\chi_{4235}(1781,\cdot)\) \(\chi_{4235}(2166,\cdot)\) \(\chi_{4235}(2441,\cdot)\) \(\chi_{4235}(2551,\cdot)\) \(\chi_{4235}(2826,\cdot)\) \(\chi_{4235}(2936,\cdot)\) \(\chi_{4235}(3211,\cdot)\) \(\chi_{4235}(3321,\cdot)\) \(\chi_{4235}(3596,\cdot)\) \(\chi_{4235}(3706,\cdot)\) \(\chi_{4235}(3981,\cdot)\) \(\chi_{4235}(4091,\cdot)\)

Related number fields

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

Values on generators

\((2542,1816,2906)\) → \((1,e\left(\frac{5}{6}\right),e\left(\frac{15}{22}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(12\)	\(13\)	\(16\)	\(17\)
\( \chi_{ 4235 }(131, a) \)	\(1\)	\(1\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{8}{33}\right)\)