Dirichlet character \(\chi_{4864}(11,\cdot)\)

• Label: 4864.11
• Modulus: $4864$
• Conductor: $4864$
• Order: $192$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(4864\)
Conductor:	\(4864\)
Order:	\(192\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 4864.cv

\(\chi_{4864}(11,\cdot)\) \(\chi_{4864}(83,\cdot)\) \(\chi_{4864}(163,\cdot)\) \(\chi_{4864}(235,\cdot)\) \(\chi_{4864}(315,\cdot)\) \(\chi_{4864}(387,\cdot)\) \(\chi_{4864}(467,\cdot)\) \(\chi_{4864}(539,\cdot)\) \(\chi_{4864}(619,\cdot)\) \(\chi_{4864}(691,\cdot)\) \(\chi_{4864}(771,\cdot)\) \(\chi_{4864}(843,\cdot)\) \(\chi_{4864}(923,\cdot)\) \(\chi_{4864}(995,\cdot)\) \(\chi_{4864}(1075,\cdot)\) \(\chi_{4864}(1147,\cdot)\) \(\chi_{4864}(1227,\cdot)\) \(\chi_{4864}(1299,\cdot)\) \(\chi_{4864}(1379,\cdot)\) \(\chi_{4864}(1451,\cdot)\) \(\chi_{4864}(1531,\cdot)\) \(\chi_{4864}(1603,\cdot)\) \(\chi_{4864}(1683,\cdot)\) \(\chi_{4864}(1755,\cdot)\) \(\chi_{4864}(1835,\cdot)\) \(\chi_{4864}(1907,\cdot)\) \(\chi_{4864}(1987,\cdot)\) \(\chi_{4864}(2059,\cdot)\) \(\chi_{4864}(2139,\cdot)\) \(\chi_{4864}(2211,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{192})$
Fixed field:	Number field defined by a degree 192 polynomial (not computed)

Values on generators

\((3839,2053,4353)\) → \((-1,e\left(\frac{21}{64}\right),e\left(\frac{2}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 4864 }(11, a) \)	\(-1\)	\(1\)	\(e\left(\frac{125}{192}\right)\)	\(e\left(\frac{191}{192}\right)\)	\(e\left(\frac{25}{32}\right)\)	\(e\left(\frac{29}{96}\right)\)	\(e\left(\frac{25}{64}\right)\)	\(e\left(\frac{145}{192}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{83}{192}\right)\)	\(e\left(\frac{41}{96}\right)\)