Dirichlet character \(\chi_{2183}(181,\cdot)\)

• Label: 2183.181
• Modulus: $2183$
• Conductor: $2183$
• Order: $261$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2183\)
Conductor:	\(2183\)
Order:	\(261\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2183.bc

\(\chi_{2183}(7,\cdot)\) \(\chi_{2183}(9,\cdot)\) \(\chi_{2183}(12,\cdot)\) \(\chi_{2183}(16,\cdot)\) \(\chi_{2183}(46,\cdot)\) \(\chi_{2183}(49,\cdot)\) \(\chi_{2183}(53,\cdot)\) \(\chi_{2183}(71,\cdot)\) \(\chi_{2183}(81,\cdot)\) \(\chi_{2183}(86,\cdot)\) \(\chi_{2183}(107,\cdot)\) \(\chi_{2183}(108,\cdot)\) \(\chi_{2183}(123,\cdot)\) \(\chi_{2183}(127,\cdot)\) \(\chi_{2183}(144,\cdot)\) \(\chi_{2183}(145,\cdot)\) \(\chi_{2183}(164,\cdot)\) \(\chi_{2183}(181,\cdot)\) \(\chi_{2183}(182,\cdot)\) \(\chi_{2183}(192,\cdot)\) \(\chi_{2183}(194,\cdot)\) \(\chi_{2183}(197,\cdot)\) \(\chi_{2183}(218,\cdot)\) \(\chi_{2183}(234,\cdot)\) \(\chi_{2183}(255,\cdot)\) \(\chi_{2183}(256,\cdot)\) \(\chi_{2183}(271,\cdot)\) \(\chi_{2183}(293,\cdot)\) \(\chi_{2183}(312,\cdot)\) \(\chi_{2183}(330,\cdot)\) ...

Related number fields

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

Values on generators

\((1889,297)\) → \((e\left(\frac{5}{9}\right),e\left(\frac{1}{29}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2183 }(181, a) \)	\(1\)	\(1\)	\(e\left(\frac{154}{261}\right)\)	\(e\left(\frac{44}{261}\right)\)	\(e\left(\frac{47}{261}\right)\)	\(e\left(\frac{257}{261}\right)\)	\(e\left(\frac{22}{29}\right)\)	\(e\left(\frac{104}{261}\right)\)	\(e\left(\frac{67}{87}\right)\)	\(e\left(\frac{88}{261}\right)\)	\(e\left(\frac{50}{87}\right)\)	\(e\left(\frac{46}{87}\right)\)