Dirichlet character \(\chi_{23104}(6931,\cdot)\)

• Label: 23104.6931
• Modulus: $23104$
• Conductor: $23104$
• Order: $2736$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(23104\)
Conductor:	\(23104\)
Order:	\(2736\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 23104.em

\(\chi_{23104}(3,\cdot)\) \(\chi_{23104}(51,\cdot)\) \(\chi_{23104}(59,\cdot)\) \(\chi_{23104}(67,\cdot)\) \(\chi_{23104}(91,\cdot)\) \(\chi_{23104}(147,\cdot)\) \(\chi_{23104}(155,\cdot)\) \(\chi_{23104}(203,\cdot)\) \(\chi_{23104}(211,\cdot)\) \(\chi_{23104}(219,\cdot)\) \(\chi_{23104}(243,\cdot)\) \(\chi_{23104}(355,\cdot)\) \(\chi_{23104}(363,\cdot)\) \(\chi_{23104}(371,\cdot)\) \(\chi_{23104}(395,\cdot)\) \(\chi_{23104}(451,\cdot)\) \(\chi_{23104}(459,\cdot)\) \(\chi_{23104}(507,\cdot)\) \(\chi_{23104}(515,\cdot)\) \(\chi_{23104}(523,\cdot)\) \(\chi_{23104}(547,\cdot)\) \(\chi_{23104}(603,\cdot)\) \(\chi_{23104}(611,\cdot)\) \(\chi_{23104}(659,\cdot)\) \(\chi_{23104}(667,\cdot)\) \(\chi_{23104}(675,\cdot)\) \(\chi_{23104}(699,\cdot)\) \(\chi_{23104}(755,\cdot)\) \(\chi_{23104}(763,\cdot)\) \(\chi_{23104}(811,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{2736})$
Fixed field:	Number field defined by a degree 2736 polynomial (not computed)

Values on generators

\((5055,12997,14081)\) → \((-1,e\left(\frac{7}{16}\right),e\left(\frac{281}{342}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 23104 }(6931, a) \)	\(1\)	\(1\)	\(e\left(\frac{55}{2736}\right)\)	\(e\left(\frac{157}{2736}\right)\)	\(e\left(\frac{55}{456}\right)\)	\(e\left(\frac{55}{1368}\right)\)	\(e\left(\frac{451}{912}\right)\)	\(e\left(\frac{2411}{2736}\right)\)	\(e\left(\frac{53}{684}\right)\)	\(e\left(\frac{643}{684}\right)\)	\(e\left(\frac{385}{2736}\right)\)	\(e\left(\frac{799}{1368}\right)\)