Dirichlet character \(\chi_{6223}(101,\cdot)\)

• Label: 6223.101
• 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.ki

\(\chi_{6223}(101,\cdot)\) \(\chi_{6223}(180,\cdot)\) \(\chi_{6223}(299,\cdot)\) \(\chi_{6223}(395,\cdot)\) \(\chi_{6223}(514,\cdot)\) \(\chi_{6223}(605,\cdot)\) \(\chi_{6223}(829,\cdot)\) \(\chi_{6223}(1039,\cdot)\) \(\chi_{6223}(1125,\cdot)\) \(\chi_{6223}(1132,\cdot)\) \(\chi_{6223}(1482,\cdot)\) \(\chi_{6223}(2124,\cdot)\) \(\chi_{6223}(2215,\cdot)\) \(\chi_{6223}(2245,\cdot)\) \(\chi_{6223}(2329,\cdot)\) \(\chi_{6223}(2364,\cdot)\) \(\chi_{6223}(2586,\cdot)\) \(\chi_{6223}(2859,\cdot)\) \(\chi_{6223}(3141,\cdot)\) \(\chi_{6223}(3281,\cdot)\) \(\chi_{6223}(3393,\cdot)\) \(\chi_{6223}(3512,\cdot)\) \(\chi_{6223}(3666,\cdot)\) \(\chi_{6223}(3722,\cdot)\) \(\chi_{6223}(3797,\cdot)\) \(\chi_{6223}(3867,\cdot)\) \(\chi_{6223}(3944,\cdot)\) \(\chi_{6223}(4093,\cdot)\) \(\chi_{6223}(4938,\cdot)\) \(\chi_{6223}(5325,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{1}{42}\right),e\left(\frac{103}{126}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(101, a) \)	\(1\)	\(1\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{43}{63}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{34}{63}\right)\)	\(e\left(\frac{50}{63}\right)\)