Dirichlet character \(\chi_{1081}(1074,\cdot)\)

• Label: 1081.1074
• 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.o

\(\chi_{1081}(13,\cdot)\) \(\chi_{1081}(26,\cdot)\) \(\chi_{1081}(29,\cdot)\) \(\chi_{1081}(31,\cdot)\) \(\chi_{1081}(35,\cdot)\) \(\chi_{1081}(39,\cdot)\) \(\chi_{1081}(41,\cdot)\) \(\chi_{1081}(52,\cdot)\) \(\chi_{1081}(58,\cdot)\) \(\chi_{1081}(62,\cdot)\) \(\chi_{1081}(73,\cdot)\) \(\chi_{1081}(77,\cdot)\) \(\chi_{1081}(78,\cdot)\) \(\chi_{1081}(82,\cdot)\) \(\chi_{1081}(85,\cdot)\) \(\chi_{1081}(87,\cdot)\) \(\chi_{1081}(104,\cdot)\) \(\chi_{1081}(105,\cdot)\) \(\chi_{1081}(117,\cdot)\) \(\chi_{1081}(123,\cdot)\) \(\chi_{1081}(124,\cdot)\) \(\chi_{1081}(127,\cdot)\) \(\chi_{1081}(133,\cdot)\) \(\chi_{1081}(146,\cdot)\) \(\chi_{1081}(151,\cdot)\) \(\chi_{1081}(154,\cdot)\) \(\chi_{1081}(156,\cdot)\) \(\chi_{1081}(163,\cdot)\) \(\chi_{1081}(164,\cdot)\) \(\chi_{1081}(167,\cdot)\) ...

Related number fields

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

Values on generators

\((189,898)\) → \((e\left(\frac{4}{11}\right),e\left(\frac{9}{46}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 1081 }(1074, a) \)	\(-1\)	\(1\)	\(e\left(\frac{63}{253}\right)\)	\(e\left(\frac{185}{253}\right)\)	\(e\left(\frac{126}{253}\right)\)	\(e\left(\frac{283}{506}\right)\)	\(e\left(\frac{248}{253}\right)\)	\(e\left(\frac{43}{253}\right)\)	\(e\left(\frac{189}{253}\right)\)	\(e\left(\frac{117}{253}\right)\)	\(e\left(\frac{409}{506}\right)\)	\(e\left(\frac{325}{506}\right)\)