Dirichlet character \(\chi_{6223}(110,\cdot)\)

• Label: 6223.110
• 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.jl

\(\chi_{6223}(110,\cdot)\) \(\chi_{6223}(346,\cdot)\) \(\chi_{6223}(593,\cdot)\) \(\chi_{6223}(614,\cdot)\) \(\chi_{6223}(731,\cdot)\) \(\chi_{6223}(817,\cdot)\) \(\chi_{6223}(880,\cdot)\) \(\chi_{6223}(892,\cdot)\) \(\chi_{6223}(1055,\cdot)\) \(\chi_{6223}(1081,\cdot)\) \(\chi_{6223}(1363,\cdot)\) \(\chi_{6223}(1475,\cdot)\) \(\chi_{6223}(1958,\cdot)\) \(\chi_{6223}(2217,\cdot)\) \(\chi_{6223}(2425,\cdot)\) \(\chi_{6223}(2504,\cdot)\) \(\chi_{6223}(2607,\cdot)\) \(\chi_{6223}(2768,\cdot)\) \(\chi_{6223}(2908,\cdot)\) \(\chi_{6223}(3055,\cdot)\) \(\chi_{6223}(3062,\cdot)\) \(\chi_{6223}(3218,\cdot)\) \(\chi_{6223}(3223,\cdot)\) \(\chi_{6223}(3475,\cdot)\) \(\chi_{6223}(4595,\cdot)\) \(\chi_{6223}(4681,\cdot)\) \(\chi_{6223}(4744,\cdot)\) \(\chi_{6223}(4912,\cdot)\) \(\chi_{6223}(4982,\cdot)\) \(\chi_{6223}(5050,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{11}{42}\right),e\left(\frac{101}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(110, a) \)	\(1\)	\(1\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{8}{63}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{62}{63}\right)\)	\(e\left(\frac{1}{9}\right)\)