Dirichlet character \(\chi_{2183}(8,\cdot)\)

• Label: 2183.8
• Modulus: $2183$
• Conductor: $2183$
• Order: $348$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2183\)
Conductor:	\(2183\)
Order:	\(348\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2183.be

\(\chi_{2183}(8,\cdot)\) \(\chi_{2183}(14,\cdot)\) \(\chi_{2183}(23,\cdot)\) \(\chi_{2183}(82,\cdot)\) \(\chi_{2183}(97,\cdot)\) \(\chi_{2183}(103,\cdot)\) \(\chi_{2183}(156,\cdot)\) \(\chi_{2183}(162,\cdot)\) \(\chi_{2183}(208,\cdot)\) \(\chi_{2183}(214,\cdot)\) \(\chi_{2183}(267,\cdot)\) \(\chi_{2183}(273,\cdot)\) \(\chi_{2183}(288,\cdot)\) \(\chi_{2183}(319,\cdot)\) \(\chi_{2183}(325,\cdot)\) \(\chi_{2183}(347,\cdot)\) \(\chi_{2183}(356,\cdot)\) \(\chi_{2183}(362,\cdot)\) \(\chi_{2183}(378,\cdot)\) \(\chi_{2183}(384,\cdot)\) \(\chi_{2183}(393,\cdot)\) \(\chi_{2183}(415,\cdot)\) \(\chi_{2183}(421,\cdot)\) \(\chi_{2183}(436,\cdot)\) \(\chi_{2183}(452,\cdot)\) \(\chi_{2183}(467,\cdot)\) \(\chi_{2183}(495,\cdot)\) \(\chi_{2183}(504,\cdot)\) \(\chi_{2183}(510,\cdot)\) \(\chi_{2183}(526,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{348})$
Fixed field:	Number field defined by a degree 348 polynomial (not computed)

Values on generators

\((1889,297)\) → \((e\left(\frac{1}{12}\right),e\left(\frac{3}{58}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2183 }(8, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{348}\right)\)	\(e\left(\frac{131}{174}\right)\)	\(e\left(\frac{47}{174}\right)\)	\(e\left(\frac{79}{348}\right)\)	\(e\left(\frac{103}{116}\right)\)	\(e\left(\frac{52}{87}\right)\)	\(e\left(\frac{47}{116}\right)\)	\(e\left(\frac{44}{87}\right)\)	\(e\left(\frac{21}{58}\right)\)	\(e\left(\frac{23}{29}\right)\)