Dirichlet character \(\chi_{4864}(45,\cdot)\)

• Label: 4864.45
• Modulus: $4864$
• Conductor: $4864$
• Order: $192$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 4864.cx

\(\chi_{4864}(45,\cdot)\) \(\chi_{4864}(125,\cdot)\) \(\chi_{4864}(197,\cdot)\) \(\chi_{4864}(277,\cdot)\) \(\chi_{4864}(349,\cdot)\) \(\chi_{4864}(429,\cdot)\) \(\chi_{4864}(501,\cdot)\) \(\chi_{4864}(581,\cdot)\) \(\chi_{4864}(653,\cdot)\) \(\chi_{4864}(733,\cdot)\) \(\chi_{4864}(805,\cdot)\) \(\chi_{4864}(885,\cdot)\) \(\chi_{4864}(957,\cdot)\) \(\chi_{4864}(1037,\cdot)\) \(\chi_{4864}(1109,\cdot)\) \(\chi_{4864}(1189,\cdot)\) \(\chi_{4864}(1261,\cdot)\) \(\chi_{4864}(1341,\cdot)\) \(\chi_{4864}(1413,\cdot)\) \(\chi_{4864}(1493,\cdot)\) \(\chi_{4864}(1565,\cdot)\) \(\chi_{4864}(1645,\cdot)\) \(\chi_{4864}(1717,\cdot)\) \(\chi_{4864}(1797,\cdot)\) \(\chi_{4864}(1869,\cdot)\) \(\chi_{4864}(1949,\cdot)\) \(\chi_{4864}(2021,\cdot)\) \(\chi_{4864}(2101,\cdot)\) \(\chi_{4864}(2173,\cdot)\) \(\chi_{4864}(2253,\cdot)\) ...

Related number fields

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

Values on generators

\((3839,2053,4353)\) → \((1,e\left(\frac{7}{64}\right),e\left(\frac{1}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 4864 }(45, a) \)	\(1\)	\(1\)	\(e\left(\frac{31}{192}\right)\)	\(e\left(\frac{85}{192}\right)\)	\(e\left(\frac{3}{32}\right)\)	\(e\left(\frac{31}{96}\right)\)	\(e\left(\frac{19}{64}\right)\)	\(e\left(\frac{155}{192}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(e\left(\frac{49}{192}\right)\)	\(e\left(\frac{19}{96}\right)\)