Dirichlet character \(\chi_{43904}(549,\cdot)\)

• Label: 43904.549
• Modulus: $43904$
• Conductor: $43904$
• Order: $4704$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(43904\)
Conductor:	\(43904\)
Order:	\(4704\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 43904.fl

\(\chi_{43904}(5,\cdot)\) \(\chi_{43904}(45,\cdot)\) \(\chi_{43904}(61,\cdot)\) \(\chi_{43904}(101,\cdot)\) \(\chi_{43904}(157,\cdot)\) \(\chi_{43904}(173,\cdot)\) \(\chi_{43904}(213,\cdot)\) \(\chi_{43904}(229,\cdot)\) \(\chi_{43904}(269,\cdot)\) \(\chi_{43904}(285,\cdot)\) \(\chi_{43904}(341,\cdot)\) \(\chi_{43904}(381,\cdot)\) \(\chi_{43904}(397,\cdot)\) \(\chi_{43904}(437,\cdot)\) \(\chi_{43904}(453,\cdot)\) \(\chi_{43904}(493,\cdot)\) \(\chi_{43904}(549,\cdot)\) \(\chi_{43904}(565,\cdot)\) \(\chi_{43904}(605,\cdot)\) \(\chi_{43904}(621,\cdot)\) \(\chi_{43904}(661,\cdot)\) \(\chi_{43904}(677,\cdot)\) \(\chi_{43904}(733,\cdot)\) \(\chi_{43904}(773,\cdot)\) \(\chi_{43904}(789,\cdot)\) \(\chi_{43904}(829,\cdot)\) \(\chi_{43904}(845,\cdot)\) \(\chi_{43904}(885,\cdot)\) \(\chi_{43904}(941,\cdot)\) \(\chi_{43904}(957,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{4704})$
Fixed field:	Number field defined by a degree 4704 polynomial (not computed)

Values on generators

\((17151,9605,17153)\) → \((1,e\left(\frac{25}{32}\right),e\left(\frac{265}{294}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(23\)	\(25\)
\( \chi_{ 43904 }(549, a) \)	\(-1\)	\(1\)	\(e\left(\frac{1153}{4704}\right)\)	\(e\left(\frac{4331}{4704}\right)\)	\(e\left(\frac{1153}{2352}\right)\)	\(e\left(\frac{4183}{4704}\right)\)	\(e\left(\frac{951}{1568}\right)\)	\(e\left(\frac{65}{392}\right)\)	\(e\left(\frac{481}{1176}\right)\)	\(e\left(\frac{77}{96}\right)\)	\(e\left(\frac{1789}{2352}\right)\)	\(e\left(\frac{1979}{2352}\right)\)