Dirichlet character \(\chi_{2667}(2006,\cdot)\)

• Label: 2667.2006
• 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.el

\(\chi_{2667}(86,\cdot)\) \(\chi_{2667}(170,\cdot)\) \(\chi_{2667}(212,\cdot)\) \(\chi_{2667}(233,\cdot)\) \(\chi_{2667}(368,\cdot)\) \(\chi_{2667}(464,\cdot)\) \(\chi_{2667}(473,\cdot)\) \(\chi_{2667}(515,\cdot)\) \(\chi_{2667}(620,\cdot)\) \(\chi_{2667}(641,\cdot)\) \(\chi_{2667}(674,\cdot)\) \(\chi_{2667}(683,\cdot)\) \(\chi_{2667}(935,\cdot)\) \(\chi_{2667}(947,\cdot)\) \(\chi_{2667}(956,\cdot)\) \(\chi_{2667}(1019,\cdot)\) \(\chi_{2667}(1094,\cdot)\) \(\chi_{2667}(1166,\cdot)\) \(\chi_{2667}(1208,\cdot)\) \(\chi_{2667}(1325,\cdot)\) \(\chi_{2667}(1388,\cdot)\) \(\chi_{2667}(1577,\cdot)\) \(\chi_{2667}(1640,\cdot)\) \(\chi_{2667}(1871,\cdot)\) \(\chi_{2667}(1934,\cdot)\) \(\chi_{2667}(2006,\cdot)\) \(\chi_{2667}(2123,\cdot)\) \(\chi_{2667}(2216,\cdot)\) \(\chi_{2667}(2300,\cdot)\) \(\chi_{2667}(2342,\cdot)\) ...

Related number fields

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

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{2}{3}\right),e\left(\frac{103}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(2006, a) \)	\(1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{95}{126}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{29}{126}\right)\)	\(1\)