Dirichlet character \(\chi_{5082}(67,\cdot)\)

• Label: 5082.67
• Modulus: $5082$
• Conductor: $847$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5082\)
Conductor:	\(847\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{847}(67,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 5082.bo

\(\chi_{5082}(67,\cdot)\) \(\chi_{5082}(331,\cdot)\) \(\chi_{5082}(529,\cdot)\) \(\chi_{5082}(793,\cdot)\) \(\chi_{5082}(991,\cdot)\) \(\chi_{5082}(1255,\cdot)\) \(\chi_{5082}(1717,\cdot)\) \(\chi_{5082}(1915,\cdot)\) \(\chi_{5082}(2377,\cdot)\) \(\chi_{5082}(2641,\cdot)\) \(\chi_{5082}(2839,\cdot)\) \(\chi_{5082}(3103,\cdot)\) \(\chi_{5082}(3301,\cdot)\) \(\chi_{5082}(3565,\cdot)\) \(\chi_{5082}(3763,\cdot)\) \(\chi_{5082}(4027,\cdot)\) \(\chi_{5082}(4225,\cdot)\) \(\chi_{5082}(4489,\cdot)\) \(\chi_{5082}(4687,\cdot)\) \(\chi_{5082}(4951,\cdot)\)

Related number fields

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

Values on generators

\((3389,4357,2059)\) → \((1,e\left(\frac{2}{3}\right),e\left(\frac{10}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 5082 }(67, a) \)	\(1\)	\(1\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)