Dirichlet character \(\chi_{2667}(1088,\cdot)\)

• Label: 2667.1088
• 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.eh

\(\chi_{2667}(17,\cdot)\) \(\chi_{2667}(26,\cdot)\) \(\chi_{2667}(290,\cdot)\) \(\chi_{2667}(479,\cdot)\) \(\chi_{2667}(542,\cdot)\) \(\chi_{2667}(773,\cdot)\) \(\chi_{2667}(824,\cdot)\) \(\chi_{2667}(836,\cdot)\) \(\chi_{2667}(866,\cdot)\) \(\chi_{2667}(1013,\cdot)\) \(\chi_{2667}(1025,\cdot)\) \(\chi_{2667}(1076,\cdot)\) \(\chi_{2667}(1088,\cdot)\) \(\chi_{2667}(1097,\cdot)\) \(\chi_{2667}(1319,\cdot)\) \(\chi_{2667}(1349,\cdot)\) \(\chi_{2667}(1391,\cdot)\) \(\chi_{2667}(1412,\cdot)\) \(\chi_{2667}(1466,\cdot)\) \(\chi_{2667}(1517,\cdot)\) \(\chi_{2667}(1559,\cdot)\) \(\chi_{2667}(1664,\cdot)\) \(\chi_{2667}(1739,\cdot)\) \(\chi_{2667}(1949,\cdot)\) \(\chi_{2667}(2063,\cdot)\) \(\chi_{2667}(2147,\cdot)\) \(\chi_{2667}(2180,\cdot)\) \(\chi_{2667}(2189,\cdot)\) \(\chi_{2667}(2201,\cdot)\) \(\chi_{2667}(2243,\cdot)\) ...

Related number fields

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

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{1}{6}\right),e\left(\frac{46}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(1088, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{103}{126}\right)\)	\(e\left(\frac{17}{126}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{1}{6}\right)\)