Dirichlet character \(\chi_{8732}(3283,\cdot)\)

• Label: 8732.3283
• 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.bx

\(\chi_{8732}(11,\cdot)\) \(\chi_{8732}(455,\cdot)\) \(\chi_{8732}(603,\cdot)\) \(\chi_{8732}(751,\cdot)\) \(\chi_{8732}(899,\cdot)\) \(\chi_{8732}(915,\cdot)\) \(\chi_{8732}(1047,\cdot)\) \(\chi_{8732}(1211,\cdot)\) \(\chi_{8732}(1359,\cdot)\) \(\chi_{8732}(1507,\cdot)\) \(\chi_{8732}(1803,\cdot)\) \(\chi_{8732}(1935,\cdot)\) \(\chi_{8732}(2083,\cdot)\) \(\chi_{8732}(2099,\cdot)\) \(\chi_{8732}(2543,\cdot)\) \(\chi_{8732}(2823,\cdot)\) \(\chi_{8732}(2987,\cdot)\) \(\chi_{8732}(3135,\cdot)\) \(\chi_{8732}(3283,\cdot)\) \(\chi_{8732}(3415,\cdot)\) \(\chi_{8732}(3563,\cdot)\) \(\chi_{8732}(3579,\cdot)\) \(\chi_{8732}(3727,\cdot)\) \(\chi_{8732}(3859,\cdot)\) \(\chi_{8732}(3875,\cdot)\) \(\chi_{8732}(4007,\cdot)\) \(\chi_{8732}(4023,\cdot)\) \(\chi_{8732}(4303,\cdot)\) \(\chi_{8732}(4467,\cdot)\) \(\chi_{8732}(4599,\cdot)\) ...

Related number fields

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

Values on generators

\((4367,1889,297)\) → \((-1,e\left(\frac{1}{6}\right),e\left(\frac{39}{58}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 8732 }(3283, a) \)	\(1\)	\(1\)	\(e\left(\frac{79}{174}\right)\)	\(e\left(\frac{151}{174}\right)\)	\(e\left(\frac{163}{174}\right)\)	\(e\left(\frac{79}{87}\right)\)	\(e\left(\frac{9}{29}\right)\)	\(e\left(\frac{8}{87}\right)\)	\(e\left(\frac{28}{87}\right)\)	\(e\left(\frac{11}{174}\right)\)	\(e\left(\frac{77}{87}\right)\)	\(e\left(\frac{34}{87}\right)\)