Dirichlet character \(\chi_{8732}(3447,\cdot)\)

• Label: 8732.3447
• Modulus: $8732$
• Conductor: $8732$
• Order: $116$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(8732\)
Conductor:	\(8732\)
Order:	\(116\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8732.bt

\(\chi_{8732}(475,\cdot)\) \(\chi_{8732}(487,\cdot)\) \(\chi_{8732}(635,\cdot)\) \(\chi_{8732}(771,\cdot)\) \(\chi_{8732}(783,\cdot)\) \(\chi_{8732}(931,\cdot)\) \(\chi_{8732}(1067,\cdot)\) \(\chi_{8732}(1079,\cdot)\) \(\chi_{8732}(1215,\cdot)\) \(\chi_{8732}(1511,\cdot)\) \(\chi_{8732}(1523,\cdot)\) \(\chi_{8732}(1659,\cdot)\) \(\chi_{8732}(1671,\cdot)\) \(\chi_{8732}(1819,\cdot)\) \(\chi_{8732}(1967,\cdot)\) \(\chi_{8732}(2251,\cdot)\) \(\chi_{8732}(2263,\cdot)\) \(\chi_{8732}(2411,\cdot)\) \(\chi_{8732}(2559,\cdot)\) \(\chi_{8732}(2991,\cdot)\) \(\chi_{8732}(3003,\cdot)\) \(\chi_{8732}(3139,\cdot)\) \(\chi_{8732}(3447,\cdot)\) \(\chi_{8732}(3743,\cdot)\) \(\chi_{8732}(4027,\cdot)\) \(\chi_{8732}(4039,\cdot)\) \(\chi_{8732}(4175,\cdot)\) \(\chi_{8732}(4187,\cdot)\) \(\chi_{8732}(4323,\cdot)\) \(\chi_{8732}(4335,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{116})$
Fixed field:	Number field defined by a degree 116 polynomial (not computed)

Values on generators

\((4367,1889,297)\) → \((-1,-i,e\left(\frac{6}{29}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 8732 }(3447, a) \)	\(1\)	\(1\)	\(e\left(\frac{10}{29}\right)\)	\(e\left(\frac{57}{116}\right)\)	\(e\left(\frac{13}{58}\right)\)	\(e\left(\frac{20}{29}\right)\)	\(e\left(\frac{5}{29}\right)\)	\(e\left(\frac{65}{116}\right)\)	\(e\left(\frac{97}{116}\right)\)	\(e\left(\frac{61}{116}\right)\)	\(e\left(\frac{71}{116}\right)\)	\(e\left(\frac{33}{58}\right)\)