Dirichlet character \(\chi_{2183}(861,\cdot)\)

• Label: 2183.861
• Modulus: $2183$
• Conductor: $2183$
• Order: $87$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2183\)
Conductor:	\(2183\)
Order:	\(87\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2183.w

\(\chi_{2183}(26,\cdot)\) \(\chi_{2183}(63,\cdot)\) \(\chi_{2183}(84,\cdot)\) \(\chi_{2183}(100,\cdot)\) \(\chi_{2183}(121,\cdot)\) \(\chi_{2183}(137,\cdot)\) \(\chi_{2183}(248,\cdot)\) \(\chi_{2183}(285,\cdot)\) \(\chi_{2183}(322,\cdot)\) \(\chi_{2183}(343,\cdot)\) \(\chi_{2183}(359,\cdot)\) \(\chi_{2183}(380,\cdot)\) \(\chi_{2183}(417,\cdot)\) \(\chi_{2183}(433,\cdot)\) \(\chi_{2183}(454,\cdot)\) \(\chi_{2183}(470,\cdot)\) \(\chi_{2183}(491,\cdot)\) \(\chi_{2183}(507,\cdot)\) \(\chi_{2183}(602,\cdot)\) \(\chi_{2183}(618,\cdot)\) \(\chi_{2183}(639,\cdot)\) \(\chi_{2183}(676,\cdot)\) \(\chi_{2183}(713,\cdot)\) \(\chi_{2183}(729,\cdot)\) \(\chi_{2183}(787,\cdot)\) \(\chi_{2183}(803,\cdot)\) \(\chi_{2183}(824,\cdot)\) \(\chi_{2183}(861,\cdot)\) \(\chi_{2183}(877,\cdot)\) \(\chi_{2183}(914,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{87})$
Fixed field:	Number field defined by a degree 87 polynomial

Values on generators

\((1889,297)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{12}{29}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 2183 }(861, a) \)	\(1\)	\(1\)	\(e\left(\frac{7}{87}\right)\)	\(e\left(\frac{2}{87}\right)\)	\(e\left(\frac{14}{87}\right)\)	\(e\left(\frac{71}{87}\right)\)	\(e\left(\frac{3}{29}\right)\)	\(e\left(\frac{68}{87}\right)\)	\(e\left(\frac{7}{29}\right)\)	\(e\left(\frac{4}{87}\right)\)	\(e\left(\frac{26}{29}\right)\)	\(e\left(\frac{10}{29}\right)\)