Dirichlet character \(\chi_{1081}(102,\cdot)\)

• Label: 1081.102
• Modulus: $1081$
• Conductor: $1081$
• Order: $506$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(1081\)
Conductor:	\(1081\)
Order:	\(506\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1081.n

\(\chi_{1081}(7,\cdot)\) \(\chi_{1081}(14,\cdot)\) \(\chi_{1081}(17,\cdot)\) \(\chi_{1081}(21,\cdot)\) \(\chi_{1081}(28,\cdot)\) \(\chi_{1081}(34,\cdot)\) \(\chi_{1081}(37,\cdot)\) \(\chi_{1081}(42,\cdot)\) \(\chi_{1081}(51,\cdot)\) \(\chi_{1081}(53,\cdot)\) \(\chi_{1081}(56,\cdot)\) \(\chi_{1081}(61,\cdot)\) \(\chi_{1081}(63,\cdot)\) \(\chi_{1081}(65,\cdot)\) \(\chi_{1081}(74,\cdot)\) \(\chi_{1081}(79,\cdot)\) \(\chi_{1081}(83,\cdot)\) \(\chi_{1081}(84,\cdot)\) \(\chi_{1081}(89,\cdot)\) \(\chi_{1081}(97,\cdot)\) \(\chi_{1081}(102,\cdot)\) \(\chi_{1081}(103,\cdot)\) \(\chi_{1081}(106,\cdot)\) \(\chi_{1081}(111,\cdot)\) \(\chi_{1081}(112,\cdot)\) \(\chi_{1081}(122,\cdot)\) \(\chi_{1081}(126,\cdot)\) \(\chi_{1081}(130,\cdot)\) \(\chi_{1081}(136,\cdot)\) \(\chi_{1081}(143,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{253})$
Fixed field:	Number field defined by a degree 506 polynomial (not computed)

Values on generators

\((189,898)\) → \((e\left(\frac{3}{22}\right),e\left(\frac{4}{23}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 1081 }(102, a) \)	\(-1\)	\(1\)	\(e\left(\frac{102}{253}\right)\)	\(e\left(\frac{167}{253}\right)\)	\(e\left(\frac{204}{253}\right)\)	\(e\left(\frac{157}{506}\right)\)	\(e\left(\frac{16}{253}\right)\)	\(e\left(\frac{79}{506}\right)\)	\(e\left(\frac{53}{253}\right)\)	\(e\left(\frac{81}{253}\right)\)	\(e\left(\frac{361}{506}\right)\)	\(e\left(\frac{225}{506}\right)\)