Dirichlet character \(\chi_{2667}(1109,\cdot)\)

• Label: 2667.1109
• 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.en

\(\chi_{2667}(173,\cdot)\) \(\chi_{2667}(185,\cdot)\) \(\chi_{2667}(194,\cdot)\) \(\chi_{2667}(257,\cdot)\) \(\chi_{2667}(332,\cdot)\) \(\chi_{2667}(404,\cdot)\) \(\chi_{2667}(446,\cdot)\) \(\chi_{2667}(563,\cdot)\) \(\chi_{2667}(626,\cdot)\) \(\chi_{2667}(815,\cdot)\) \(\chi_{2667}(878,\cdot)\) \(\chi_{2667}(1109,\cdot)\) \(\chi_{2667}(1172,\cdot)\) \(\chi_{2667}(1244,\cdot)\) \(\chi_{2667}(1361,\cdot)\) \(\chi_{2667}(1454,\cdot)\) \(\chi_{2667}(1538,\cdot)\) \(\chi_{2667}(1580,\cdot)\) \(\chi_{2667}(1634,\cdot)\) \(\chi_{2667}(1748,\cdot)\) \(\chi_{2667}(1760,\cdot)\) \(\chi_{2667}(1790,\cdot)\) \(\chi_{2667}(1823,\cdot)\) \(\chi_{2667}(1874,\cdot)\) \(\chi_{2667}(1991,\cdot)\) \(\chi_{2667}(2075,\cdot)\) \(\chi_{2667}(2117,\cdot)\) \(\chi_{2667}(2138,\cdot)\) \(\chi_{2667}(2273,\cdot)\) \(\chi_{2667}(2369,\cdot)\) ...

Related number fields

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

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{1}{6}\right),e\left(\frac{47}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(1109, a) \)	\(-1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{67}{126}\right)\)	\(e\left(\frac{71}{126}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{1}{6}\right)\)