Dirichlet character \(\chi_{2667}(116,\cdot)\)

• Label: 2667.116
• Modulus: $2667$
• Conductor: $2667$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2667\)
Conductor:	\(2667\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2667.eg

\(\chi_{2667}(23,\cdot)\) \(\chi_{2667}(53,\cdot)\) \(\chi_{2667}(65,\cdot)\) \(\chi_{2667}(116,\cdot)\) \(\chi_{2667}(347,\cdot)\) \(\chi_{2667}(410,\cdot)\) \(\chi_{2667}(599,\cdot)\) \(\chi_{2667}(863,\cdot)\) \(\chi_{2667}(872,\cdot)\) \(\chi_{2667}(998,\cdot)\) \(\chi_{2667}(1061,\cdot)\) \(\chi_{2667}(1073,\cdot)\) \(\chi_{2667}(1157,\cdot)\) \(\chi_{2667}(1199,\cdot)\) \(\chi_{2667}(1229,\cdot)\) \(\chi_{2667}(1313,\cdot)\) \(\chi_{2667}(1355,\cdot)\) \(\chi_{2667}(1367,\cdot)\) \(\chi_{2667}(1376,\cdot)\) \(\chi_{2667}(1409,\cdot)\) \(\chi_{2667}(1493,\cdot)\) \(\chi_{2667}(1607,\cdot)\) \(\chi_{2667}(1817,\cdot)\) \(\chi_{2667}(1892,\cdot)\) \(\chi_{2667}(1997,\cdot)\) \(\chi_{2667}(2039,\cdot)\) \(\chi_{2667}(2090,\cdot)\) \(\chi_{2667}(2144,\cdot)\) \(\chi_{2667}(2165,\cdot)\) \(\chi_{2667}(2207,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{2}{3}\right),e\left(\frac{5}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(116, a) \)	\(1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{109}{126}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{85}{126}\right)\)	\(e\left(\frac{2}{3}\right)\)