Dirichlet character \(\chi_{6223}(2041,\cdot)\)

• Label: 6223.2041
• 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.hw

\(\chi_{6223}(142,\cdot)\) \(\chi_{6223}(443,\cdot)\) \(\chi_{6223}(550,\cdot)\) \(\chi_{6223}(676,\cdot)\) \(\chi_{6223}(695,\cdot)\) \(\chi_{6223}(963,\cdot)\) \(\chi_{6223}(968,\cdot)\) \(\chi_{6223}(977,\cdot)\) \(\chi_{6223}(1178,\cdot)\) \(\chi_{6223}(1418,\cdot)\) \(\chi_{6223}(1495,\cdot)\) \(\chi_{6223}(2025,\cdot)\) \(\chi_{6223}(2041,\cdot)\) \(\chi_{6223}(2172,\cdot)\) \(\chi_{6223}(2410,\cdot)\) \(\chi_{6223}(2494,\cdot)\) \(\chi_{6223}(2697,\cdot)\) \(\chi_{6223}(3259,\cdot)\) \(\chi_{6223}(3336,\cdot)\) \(\chi_{6223}(3371,\cdot)\) \(\chi_{6223}(3574,\cdot)\) \(\chi_{6223}(3796,\cdot)\) \(\chi_{6223}(3854,\cdot)\) \(\chi_{6223}(3880,\cdot)\) \(\chi_{6223}(4090,\cdot)\) \(\chi_{6223}(4433,\cdot)\) \(\chi_{6223}(4643,\cdot)\) \(\chi_{6223}(4862,\cdot)\) \(\chi_{6223}(5238,\cdot)\) \(\chi_{6223}(5345,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{2}{21}\right),e\left(\frac{1}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(2041, a) \)	\(1\)	\(1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{22}{63}\right)\)