Dirichlet character \(\chi_{5041}(60,\cdot)\)

• Label: 5041.60
• Modulus: $5041$
• Conductor: $5041$
• Order: $2485$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5041\)
Conductor:	\(5041\)
Order:	\(2485\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5041.o

\(\chi_{5041}(2,\cdot)\) \(\chi_{5041}(3,\cdot)\) \(\chi_{5041}(4,\cdot)\) \(\chi_{5041}(6,\cdot)\) \(\chi_{5041}(8,\cdot)\) \(\chi_{5041}(9,\cdot)\) \(\chi_{5041}(10,\cdot)\) \(\chi_{5041}(12,\cdot)\) \(\chi_{5041}(15,\cdot)\) \(\chi_{5041}(16,\cdot)\) \(\chi_{5041}(18,\cdot)\) \(\chi_{5041}(19,\cdot)\) \(\chi_{5041}(24,\cdot)\) \(\chi_{5041}(27,\cdot)\) \(\chi_{5041}(29,\cdot)\) \(\chi_{5041}(36,\cdot)\) \(\chi_{5041}(38,\cdot)\) \(\chi_{5041}(40,\cdot)\) \(\chi_{5041}(43,\cdot)\) \(\chi_{5041}(49,\cdot)\) \(\chi_{5041}(50,\cdot)\) \(\chi_{5041}(58,\cdot)\) \(\chi_{5041}(60,\cdot)\) \(\chi_{5041}(64,\cdot)\) \(\chi_{5041}(73,\cdot)\) \(\chi_{5041}(74,\cdot)\) \(\chi_{5041}(75,\cdot)\) \(\chi_{5041}(77,\cdot)\) \(\chi_{5041}(79,\cdot)\) \(\chi_{5041}(80,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{2485})$
Fixed field:	Number field defined by a degree 2485 polynomial (not computed)

Values on generators

\(7\) → \(e\left(\frac{628}{2485}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 5041 }(60, a) \)	\(1\)	\(1\)	\(e\left(\frac{1703}{2485}\right)\)	\(e\left(\frac{2398}{2485}\right)\)	\(e\left(\frac{921}{2485}\right)\)	\(e\left(\frac{27}{355}\right)\)	\(e\left(\frac{1616}{2485}\right)\)	\(e\left(\frac{628}{2485}\right)\)	\(e\left(\frac{139}{2485}\right)\)	\(e\left(\frac{2311}{2485}\right)\)	\(e\left(\frac{1892}{2485}\right)\)	\(e\left(\frac{8}{35}\right)\)