Dirichlet character \(\chi_{2183}(1024,\cdot)\)

• Label: 2183.1024
• Modulus: $2183$
• Conductor: $2183$
• Order: $522$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2183\)
Conductor:	\(2183\)
Order:	\(522\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2183.bh

\(\chi_{2183}(3,\cdot)\) \(\chi_{2183}(4,\cdot)\) \(\chi_{2183}(21,\cdot)\) \(\chi_{2183}(25,\cdot)\) \(\chi_{2183}(28,\cdot)\) \(\chi_{2183}(41,\cdot)\) \(\chi_{2183}(62,\cdot)\) \(\chi_{2183}(78,\cdot)\) \(\chi_{2183}(95,\cdot)\) \(\chi_{2183}(104,\cdot)\) \(\chi_{2183}(139,\cdot)\) \(\chi_{2183}(169,\cdot)\) \(\chi_{2183}(189,\cdot)\) \(\chi_{2183}(206,\cdot)\) \(\chi_{2183}(213,\cdot)\) \(\chi_{2183}(225,\cdot)\) \(\chi_{2183}(226,\cdot)\) \(\chi_{2183}(243,\cdot)\) \(\chi_{2183}(252,\cdot)\) \(\chi_{2183}(262,\cdot)\) \(\chi_{2183}(263,\cdot)\) \(\chi_{2183}(284,\cdot)\) \(\chi_{2183}(287,\cdot)\) \(\chi_{2183}(289,\cdot)\) \(\chi_{2183}(299,\cdot)\) \(\chi_{2183}(300,\cdot)\) \(\chi_{2183}(317,\cdot)\) \(\chi_{2183}(321,\cdot)\) \(\chi_{2183}(324,\cdot)\) \(\chi_{2183}(336,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{261})$
Fixed field:	Number field defined by a degree 522 polynomial (not computed)

Values on generators

\((1889,297)\) → \((e\left(\frac{5}{18}\right),e\left(\frac{5}{29}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2183 }(1024, a) \)	\(1\)	\(1\)	\(e\left(\frac{235}{522}\right)\)	\(e\left(\frac{220}{261}\right)\)	\(e\left(\frac{235}{261}\right)\)	\(e\left(\frac{221}{522}\right)\)	\(e\left(\frac{17}{58}\right)\)	\(e\left(\frac{259}{261}\right)\)	\(e\left(\frac{61}{174}\right)\)	\(e\left(\frac{179}{261}\right)\)	\(e\left(\frac{76}{87}\right)\)	\(e\left(\frac{56}{87}\right)\)