Dirichlet character \(\chi_{6223}(1058,\cdot)\)

• Label: 6223.1058
• 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.hq

\(\chi_{6223}(176,\cdot)\) \(\chi_{6223}(526,\cdot)\) \(\chi_{6223}(582,\cdot)\) \(\chi_{6223}(652,\cdot)\) \(\chi_{6223}(1058,\cdot)\) \(\chi_{6223}(1100,\cdot)\) \(\chi_{6223}(1205,\cdot)\) \(\chi_{6223}(1394,\cdot)\) \(\chi_{6223}(1555,\cdot)\) \(\chi_{6223}(1660,\cdot)\) \(\chi_{6223}(1940,\cdot)\) \(\chi_{6223}(2066,\cdot)\) \(\chi_{6223}(2073,\cdot)\) \(\chi_{6223}(2661,\cdot)\) \(\chi_{6223}(2682,\cdot)\) \(\chi_{6223}(2738,\cdot)\) \(\chi_{6223}(2864,\cdot)\) \(\chi_{6223}(3459,\cdot)\) \(\chi_{6223}(3473,\cdot)\) \(\chi_{6223}(3501,\cdot)\) \(\chi_{6223}(3914,\cdot)\) \(\chi_{6223}(4075,\cdot)\) \(\chi_{6223}(4152,\cdot)\) \(\chi_{6223}(4593,\cdot)\) \(\chi_{6223}(4768,\cdot)\) \(\chi_{6223}(4908,\cdot)\) \(\chi_{6223}(5034,\cdot)\) \(\chi_{6223}(5286,\cdot)\) \(\chi_{6223}(5370,\cdot)\) \(\chi_{6223}(5447,\cdot)\) ...

Related number fields

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

Values on generators

\((5589,638)\) → \((e\left(\frac{3}{7}\right),e\left(\frac{31}{63}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 6223 }(1058, a) \)	\(1\)	\(1\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{58}{63}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{38}{63}\right)\)	\(e\left(\frac{4}{63}\right)\)