Dirichlet character \(\chi_{2667}(1010,\cdot)\)

• Label: 2667.1010
• Modulus: $2667$
• Conductor: $2667$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

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

Galois orbit 2667.em

\(\chi_{2667}(11,\cdot)\) \(\chi_{2667}(74,\cdot)\) \(\chi_{2667}(263,\cdot)\) \(\chi_{2667}(326,\cdot)\) \(\chi_{2667}(443,\cdot)\) \(\chi_{2667}(485,\cdot)\) \(\chi_{2667}(557,\cdot)\) \(\chi_{2667}(632,\cdot)\) \(\chi_{2667}(695,\cdot)\) \(\chi_{2667}(704,\cdot)\) \(\chi_{2667}(716,\cdot)\) \(\chi_{2667}(968,\cdot)\) \(\chi_{2667}(977,\cdot)\) \(\chi_{2667}(1010,\cdot)\) \(\chi_{2667}(1031,\cdot)\) \(\chi_{2667}(1136,\cdot)\) \(\chi_{2667}(1178,\cdot)\) \(\chi_{2667}(1187,\cdot)\) \(\chi_{2667}(1283,\cdot)\) \(\chi_{2667}(1418,\cdot)\) \(\chi_{2667}(1439,\cdot)\) \(\chi_{2667}(1481,\cdot)\) \(\chi_{2667}(1565,\cdot)\) \(\chi_{2667}(1682,\cdot)\) \(\chi_{2667}(1733,\cdot)\) \(\chi_{2667}(1766,\cdot)\) \(\chi_{2667}(1796,\cdot)\) \(\chi_{2667}(1808,\cdot)\) \(\chi_{2667}(1922,\cdot)\) \(\chi_{2667}(1976,\cdot)\) ...

Related number fields

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

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{1}{3}\right),e\left(\frac{5}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(1010, a) \)	\(-1\)	\(1\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{29}{126}\right)\)	\(e\left(\frac{29}{63}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{107}{126}\right)\)	\(e\left(\frac{1}{3}\right)\)