Dirichlet character \(\chi_{6043}(64,\cdot)\)

• Label: 6043.64
• Modulus: $6043$
• Conductor: $6043$
• Order: $53$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6043\)
Conductor:	\(6043\)
Order:	\(53\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6043.g

\(\chi_{6043}(64,\cdot)\) \(\chi_{6043}(454,\cdot)\) \(\chi_{6043}(654,\cdot)\) \(\chi_{6043}(809,\cdot)\) \(\chi_{6043}(811,\cdot)\) \(\chi_{6043}(817,\cdot)\) \(\chi_{6043}(1194,\cdot)\) \(\chi_{6043}(1329,\cdot)\) \(\chi_{6043}(1429,\cdot)\) \(\chi_{6043}(1454,\cdot)\) \(\chi_{6043}(1639,\cdot)\) \(\chi_{6043}(1685,\cdot)\) \(\chi_{6043}(1735,\cdot)\) \(\chi_{6043}(1837,\cdot)\) \(\chi_{6043}(1848,\cdot)\) \(\chi_{6043}(2100,\cdot)\) \(\chi_{6043}(2164,\cdot)\) \(\chi_{6043}(2165,\cdot)\) \(\chi_{6043}(2266,\cdot)\) \(\chi_{6043}(2295,\cdot)\) \(\chi_{6043}(2411,\cdot)\) \(\chi_{6043}(2534,\cdot)\) \(\chi_{6043}(2575,\cdot)\) \(\chi_{6043}(2751,\cdot)\) \(\chi_{6043}(2759,\cdot)\) \(\chi_{6043}(3229,\cdot)\) \(\chi_{6043}(3345,\cdot)\) \(\chi_{6043}(3432,\cdot)\) \(\chi_{6043}(3433,\cdot)\) \(\chi_{6043}(3455,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{53})$
Fixed field:	Number field defined by a degree 53 polynomial

Values on generators

\(5\) → \(e\left(\frac{38}{53}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 6043 }(64, a) \)	\(1\)	\(1\)	\(e\left(\frac{35}{53}\right)\)	\(e\left(\frac{41}{53}\right)\)	\(e\left(\frac{17}{53}\right)\)	\(e\left(\frac{38}{53}\right)\)	\(e\left(\frac{23}{53}\right)\)	\(e\left(\frac{5}{53}\right)\)	\(e\left(\frac{52}{53}\right)\)	\(e\left(\frac{29}{53}\right)\)	\(e\left(\frac{20}{53}\right)\)	\(1\)