Dirichlet character \(\chi_{5041}(995,\cdot)\)

• Label: 5041.995
• Modulus: $5041$
• Conductor: $5041$
• Order: $71$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5041\)
Conductor:	\(5041\)
Order:	\(71\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5041.i

\(\chi_{5041}(72,\cdot)\) \(\chi_{5041}(143,\cdot)\) \(\chi_{5041}(214,\cdot)\) \(\chi_{5041}(285,\cdot)\) \(\chi_{5041}(356,\cdot)\) \(\chi_{5041}(427,\cdot)\) \(\chi_{5041}(498,\cdot)\) \(\chi_{5041}(569,\cdot)\) \(\chi_{5041}(640,\cdot)\) \(\chi_{5041}(711,\cdot)\) \(\chi_{5041}(782,\cdot)\) \(\chi_{5041}(853,\cdot)\) \(\chi_{5041}(924,\cdot)\) \(\chi_{5041}(995,\cdot)\) \(\chi_{5041}(1066,\cdot)\) \(\chi_{5041}(1137,\cdot)\) \(\chi_{5041}(1208,\cdot)\) \(\chi_{5041}(1279,\cdot)\) \(\chi_{5041}(1350,\cdot)\) \(\chi_{5041}(1421,\cdot)\) \(\chi_{5041}(1492,\cdot)\) \(\chi_{5041}(1563,\cdot)\) \(\chi_{5041}(1634,\cdot)\) \(\chi_{5041}(1705,\cdot)\) \(\chi_{5041}(1776,\cdot)\) \(\chi_{5041}(1847,\cdot)\) \(\chi_{5041}(1918,\cdot)\) \(\chi_{5041}(1989,\cdot)\) \(\chi_{5041}(2060,\cdot)\) \(\chi_{5041}(2131,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{71})$
Fixed field:	Number field defined by a degree 71 polynomial

Values on generators

\(7\) → \(e\left(\frac{20}{71}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 5041 }(995, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{71}\right)\)	\(e\left(\frac{42}{71}\right)\)	\(e\left(\frac{23}{71}\right)\)	\(e\left(\frac{63}{71}\right)\)	\(e\left(\frac{18}{71}\right)\)	\(e\left(\frac{20}{71}\right)\)	\(e\left(\frac{70}{71}\right)\)	\(e\left(\frac{13}{71}\right)\)	\(e\left(\frac{39}{71}\right)\)	\(1\)