Dirichlet character \(\chi_{7865}(349,\cdot)\)

• Label: 7865.349
• Modulus: $7865$
• Conductor: $7865$
• Order: $660$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(7865\)
Conductor:	\(7865\)
Order:	\(660\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 7865.fv

\(\chi_{7865}(19,\cdot)\) \(\chi_{7865}(24,\cdot)\) \(\chi_{7865}(84,\cdot)\) \(\chi_{7865}(149,\cdot)\) \(\chi_{7865}(184,\cdot)\) \(\chi_{7865}(189,\cdot)\) \(\chi_{7865}(249,\cdot)\) \(\chi_{7865}(314,\cdot)\) \(\chi_{7865}(349,\cdot)\) \(\chi_{7865}(409,\cdot)\) \(\chi_{7865}(414,\cdot)\) \(\chi_{7865}(479,\cdot)\) \(\chi_{7865}(514,\cdot)\) \(\chi_{7865}(574,\cdot)\) \(\chi_{7865}(579,\cdot)\) \(\chi_{7865}(644,\cdot)\) \(\chi_{7865}(734,\cdot)\) \(\chi_{7865}(739,\cdot)\) \(\chi_{7865}(799,\cdot)\) \(\chi_{7865}(864,\cdot)\) \(\chi_{7865}(899,\cdot)\) \(\chi_{7865}(904,\cdot)\) \(\chi_{7865}(964,\cdot)\) \(\chi_{7865}(1029,\cdot)\) \(\chi_{7865}(1064,\cdot)\) \(\chi_{7865}(1124,\cdot)\) \(\chi_{7865}(1194,\cdot)\) \(\chi_{7865}(1229,\cdot)\) \(\chi_{7865}(1289,\cdot)\) \(\chi_{7865}(1294,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{660})$
Fixed field:	Number field defined by a degree 660 polynomial (not computed)

Values on generators

\((3147,3511,1211)\) → \((-1,e\left(\frac{63}{110}\right),e\left(\frac{7}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(14\)	\(16\)
\( \chi_{ 7865 }(349, a) \)	\(1\)	\(1\)	\(e\left(\frac{433}{660}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{103}{330}\right)\)	\(e\left(\frac{587}{660}\right)\)	\(e\left(\frac{611}{660}\right)\)	\(e\left(\frac{213}{220}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{103}{165}\right)\)