Dirichlet character \(\chi_{6223}(1086,\cdot)\)

• Label: 6223.1086
• 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.hs

\(\chi_{6223}(120,\cdot)\) \(\chi_{6223}(267,\cdot)\) \(\chi_{6223}(358,\cdot)\) \(\chi_{6223}(666,\cdot)\) \(\chi_{6223}(925,\cdot)\) \(\chi_{6223}(1086,\cdot)\) \(\chi_{6223}(1408,\cdot)\) \(\chi_{6223}(1541,\cdot)\) \(\chi_{6223}(1723,\cdot)\) \(\chi_{6223}(1730,\cdot)\) \(\chi_{6223}(1793,\cdot)\) \(\chi_{6223}(1954,\cdot)\) \(\chi_{6223}(2241,\cdot)\) \(\chi_{6223}(2780,\cdot)\) \(\chi_{6223}(2836,\cdot)\) \(\chi_{6223}(2962,\cdot)\) \(\chi_{6223}(2983,\cdot)\) \(\chi_{6223}(3074,\cdot)\) \(\chi_{6223}(3249,\cdot)\) \(\chi_{6223}(3263,\cdot)\) \(\chi_{6223}(3417,\cdot)\) \(\chi_{6223}(3550,\cdot)\) \(\chi_{6223}(3704,\cdot)\) \(\chi_{6223}(3718,\cdot)\) \(\chi_{6223}(3781,\cdot)\) \(\chi_{6223}(4124,\cdot)\) \(\chi_{6223}(4145,\cdot)\) \(\chi_{6223}(4327,\cdot)\) \(\chi_{6223}(5237,\cdot)\) \(\chi_{6223}(5405,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{6}{7}\right),e\left(\frac{11}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(1086, a) \)	\(1\)	\(1\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{2}{63}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{47}{63}\right)\)