Dirichlet character \(\chi_{8732}(4191,\cdot)\)

• Label: 8732.4191
• Modulus: $8732$
• Conductor: $8732$
• Order: $174$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(8732\)
Conductor:	\(8732\)
Order:	\(174\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8732.bz

\(\chi_{8732}(47,\cdot)\) \(\chi_{8732}(195,\cdot)\) \(\chi_{8732}(211,\cdot)\) \(\chi_{8732}(655,\cdot)\) \(\chi_{8732}(935,\cdot)\) \(\chi_{8732}(1099,\cdot)\) \(\chi_{8732}(1247,\cdot)\) \(\chi_{8732}(1395,\cdot)\) \(\chi_{8732}(1527,\cdot)\) \(\chi_{8732}(1675,\cdot)\) \(\chi_{8732}(1691,\cdot)\) \(\chi_{8732}(1839,\cdot)\) \(\chi_{8732}(1971,\cdot)\) \(\chi_{8732}(1987,\cdot)\) \(\chi_{8732}(2119,\cdot)\) \(\chi_{8732}(2135,\cdot)\) \(\chi_{8732}(2415,\cdot)\) \(\chi_{8732}(2579,\cdot)\) \(\chi_{8732}(2711,\cdot)\) \(\chi_{8732}(2727,\cdot)\) \(\chi_{8732}(2875,\cdot)\) \(\chi_{8732}(3023,\cdot)\) \(\chi_{8732}(3171,\cdot)\) \(\chi_{8732}(3747,\cdot)\) \(\chi_{8732}(4043,\cdot)\) \(\chi_{8732}(4059,\cdot)\) \(\chi_{8732}(4191,\cdot)\) \(\chi_{8732}(4207,\cdot)\) \(\chi_{8732}(4339,\cdot)\) \(\chi_{8732}(4635,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{87})$
Fixed field:	Number field defined by a degree 174 polynomial (not computed)

Values on generators

\((4367,1889,297)\) → \((-1,e\left(\frac{2}{3}\right),e\left(\frac{1}{58}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 8732 }(4191, a) \)	\(1\)	\(1\)	\(e\left(\frac{121}{174}\right)\)	\(e\left(\frac{38}{87}\right)\)	\(e\left(\frac{25}{174}\right)\)	\(e\left(\frac{34}{87}\right)\)	\(e\left(\frac{27}{29}\right)\)	\(e\left(\frac{19}{174}\right)\)	\(e\left(\frac{23}{174}\right)\)	\(e\left(\frac{31}{87}\right)\)	\(e\left(\frac{85}{174}\right)\)	\(e\left(\frac{73}{87}\right)\)