Dirichlet character \(\chi_{6223}(1068,\cdot)\)

• Label: 6223.1068
• Modulus: $6223$
• Conductor: $6223$
• Order: $63$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6223\)
Conductor:	\(6223\)
Order:	\(63\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6223.id

\(\chi_{6223}(37,\cdot)\) \(\chi_{6223}(149,\cdot)\) \(\chi_{6223}(179,\cdot)\) \(\chi_{6223}(480,\cdot)\) \(\chi_{6223}(576,\cdot)\) \(\chi_{6223}(865,\cdot)\) \(\chi_{6223}(926,\cdot)\) \(\chi_{6223}(1038,\cdot)\) \(\chi_{6223}(1068,\cdot)\) \(\chi_{6223}(1369,\cdot)\) \(\chi_{6223}(1465,\cdot)\) \(\chi_{6223}(1754,\cdot)\) \(\chi_{6223}(1815,\cdot)\) \(\chi_{6223}(1927,\cdot)\) \(\chi_{6223}(1957,\cdot)\) \(\chi_{6223}(2258,\cdot)\) \(\chi_{6223}(2354,\cdot)\) \(\chi_{6223}(2643,\cdot)\) \(\chi_{6223}(2704,\cdot)\) \(\chi_{6223}(2816,\cdot)\) \(\chi_{6223}(2846,\cdot)\) \(\chi_{6223}(3147,\cdot)\) \(\chi_{6223}(3243,\cdot)\) \(\chi_{6223}(3532,\cdot)\) \(\chi_{6223}(3593,\cdot)\) \(\chi_{6223}(3735,\cdot)\) \(\chi_{6223}(4132,\cdot)\) \(\chi_{6223}(4421,\cdot)\) \(\chi_{6223}(4482,\cdot)\) \(\chi_{6223}(4594,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 63 polynomial

Values on generators

\((5589,638)\) → \((e\left(\frac{17}{21}\right),e\left(\frac{8}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(1068, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{44}{63}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{50}{63}\right)\)