Dirichlet character \(\chi_{2667}(656,\cdot)\)

• Label: 2667.656
• 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.ek

\(\chi_{2667}(206,\cdot)\) \(\chi_{2667}(215,\cdot)\) \(\chi_{2667}(248,\cdot)\) \(\chi_{2667}(269,\cdot)\) \(\chi_{2667}(374,\cdot)\) \(\chi_{2667}(416,\cdot)\) \(\chi_{2667}(425,\cdot)\) \(\chi_{2667}(521,\cdot)\) \(\chi_{2667}(656,\cdot)\) \(\chi_{2667}(677,\cdot)\) \(\chi_{2667}(719,\cdot)\) \(\chi_{2667}(803,\cdot)\) \(\chi_{2667}(920,\cdot)\) \(\chi_{2667}(971,\cdot)\) \(\chi_{2667}(1004,\cdot)\) \(\chi_{2667}(1034,\cdot)\) \(\chi_{2667}(1046,\cdot)\) \(\chi_{2667}(1160,\cdot)\) \(\chi_{2667}(1214,\cdot)\) \(\chi_{2667}(1256,\cdot)\) \(\chi_{2667}(1340,\cdot)\) \(\chi_{2667}(1433,\cdot)\) \(\chi_{2667}(1550,\cdot)\) \(\chi_{2667}(1622,\cdot)\) \(\chi_{2667}(1685,\cdot)\) \(\chi_{2667}(1916,\cdot)\) \(\chi_{2667}(1979,\cdot)\) \(\chi_{2667}(2168,\cdot)\) \(\chi_{2667}(2231,\cdot)\) \(\chi_{2667}(2348,\cdot)\) ...

Related number fields

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

Values on generators

\((890,1144,2416)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{58}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 2667 }(656, a) \)	\(1\)	\(1\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{55}{126}\right)\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(-1\)