Dirichlet character \(\chi_{6223}(1069,\cdot)\)

• Label: 6223.1069
• Modulus: $6223$
• Conductor: $6223$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6223\)
Conductor:	\(6223\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6223.kh

\(\chi_{6223}(3,\cdot)\) \(\chi_{6223}(241,\cdot)\) \(\chi_{6223}(243,\cdot)\) \(\chi_{6223}(388,\cdot)\) \(\chi_{6223}(467,\cdot)\) \(\chi_{6223}(1069,\cdot)\) \(\chi_{6223}(1235,\cdot)\) \(\chi_{6223}(1426,\cdot)\) \(\chi_{6223}(1445,\cdot)\) \(\chi_{6223}(1718,\cdot)\) \(\chi_{6223}(1888,\cdot)\) \(\chi_{6223}(1970,\cdot)\) \(\chi_{6223}(2252,\cdot)\) \(\chi_{6223}(2271,\cdot)\) \(\chi_{6223}(2817,\cdot)\) \(\chi_{6223}(2903,\cdot)\) \(\chi_{6223}(3181,\cdot)\) \(\chi_{6223}(3398,\cdot)\) \(\chi_{6223}(3484,\cdot)\) \(\chi_{6223}(3993,\cdot)\) \(\chi_{6223}(3995,\cdot)\) \(\chi_{6223}(4149,\cdot)\) \(\chi_{6223}(4203,\cdot)\) \(\chi_{6223}(4401,\cdot)\) \(\chi_{6223}(4546,\cdot)\) \(\chi_{6223}(4756,\cdot)\) \(\chi_{6223}(4840,\cdot)\) \(\chi_{6223}(5031,\cdot)\) \(\chi_{6223}(5059,\cdot)\) \(\chi_{6223}(5500,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{23}{42}\right),e\left(\frac{107}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(1069, a) \)	\(1\)	\(1\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{50}{63}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{41}{63}\right)\)	\(e\left(\frac{10}{63}\right)\)