Dirichlet character \(\chi_{2183}(2145,\cdot)\)

• Label: 2183.2145
• Modulus: $2183$
• Conductor: $2183$
• Order: $58$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2183\)
Conductor:	\(2183\)
Order:	\(58\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2183.v

\(\chi_{2183}(36,\cdot)\) \(\chi_{2183}(110,\cdot)\) \(\chi_{2183}(147,\cdot)\) \(\chi_{2183}(184,\cdot)\) \(\chi_{2183}(258,\cdot)\) \(\chi_{2183}(369,\cdot)\) \(\chi_{2183}(517,\cdot)\) \(\chi_{2183}(665,\cdot)\) \(\chi_{2183}(702,\cdot)\) \(\chi_{2183}(776,\cdot)\) \(\chi_{2183}(813,\cdot)\) \(\chi_{2183}(961,\cdot)\) \(\chi_{2183}(1146,\cdot)\) \(\chi_{2183}(1183,\cdot)\) \(\chi_{2183}(1405,\cdot)\) \(\chi_{2183}(1442,\cdot)\) \(\chi_{2183}(1479,\cdot)\) \(\chi_{2183}(1516,\cdot)\) \(\chi_{2183}(1553,\cdot)\) \(\chi_{2183}(1664,\cdot)\) \(\chi_{2183}(1701,\cdot)\) \(\chi_{2183}(1738,\cdot)\) \(\chi_{2183}(1775,\cdot)\) \(\chi_{2183}(1849,\cdot)\) \(\chi_{2183}(1886,\cdot)\) \(\chi_{2183}(1923,\cdot)\) \(\chi_{2183}(2034,\cdot)\) \(\chi_{2183}(2145,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{29})$
Fixed field:	Number field defined by a degree 58 polynomial

Values on generators

\((1889,297)\) → \((-1,e\left(\frac{5}{29}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2183 }(2145, a) \)	\(1\)	\(1\)	\(e\left(\frac{39}{58}\right)\)	\(e\left(\frac{18}{29}\right)\)	\(e\left(\frac{10}{29}\right)\)	\(e\left(\frac{31}{58}\right)\)	\(e\left(\frac{17}{58}\right)\)	\(e\left(\frac{3}{29}\right)\)	\(e\left(\frac{1}{58}\right)\)	\(e\left(\frac{7}{29}\right)\)	\(e\left(\frac{6}{29}\right)\)	\(e\left(\frac{9}{29}\right)\)