Dirichlet character \(\chi_{6223}(2614,\cdot)\)

• Label: 6223.2614
• Modulus: $6223$
• Conductor: $6223$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(6223\)
Conductor:	\(6223\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 6223.ks

\(\chi_{6223}(26,\cdot)\) \(\chi_{6223}(187,\cdot)\) \(\chi_{6223}(369,\cdot)\) \(\chi_{6223}(430,\cdot)\) \(\chi_{6223}(465,\cdot)\) \(\chi_{6223}(549,\cdot)\) \(\chi_{6223}(1312,\cdot)\) \(\chi_{6223}(1662,\cdot)\) \(\chi_{6223}(1669,\cdot)\) \(\chi_{6223}(1713,\cdot)\) \(\chi_{6223}(1902,\cdot)\) \(\chi_{6223}(2063,\cdot)\) \(\chi_{6223}(2448,\cdot)\) \(\chi_{6223}(2495,\cdot)\) \(\chi_{6223}(2614,\cdot)\) \(\chi_{6223}(2866,\cdot)\) \(\chi_{6223}(3169,\cdot)\) \(\chi_{6223}(3190,\cdot)\) \(\chi_{6223}(3244,\cdot)\) \(\chi_{6223}(3246,\cdot)\) \(\chi_{6223}(3372,\cdot)\) \(\chi_{6223}(3692,\cdot)\) \(\chi_{6223}(3967,\cdot)\) \(\chi_{6223}(4422,\cdot)\) \(\chi_{6223}(4924,\cdot)\) \(\chi_{6223}(5295,\cdot)\) \(\chi_{6223}(5351,\cdot)\) \(\chi_{6223}(5505,\cdot)\) \(\chi_{6223}(5542,\cdot)\) \(\chi_{6223}(5624,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{25}{42}\right),e\left(\frac{22}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(2614, a) \)	\(-1\)	\(1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{71}{126}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{23}{126}\right)\)