Dirichlet character \(\chi_{1081}(101,\cdot)\)

• Label: 1081.101
• Modulus: $1081$
• Conductor: $1081$
• Order: $253$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1081\)
Conductor:	\(1081\)
Order:	\(253\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1081.m

\(\chi_{1081}(2,\cdot)\) \(\chi_{1081}(3,\cdot)\) \(\chi_{1081}(4,\cdot)\) \(\chi_{1081}(6,\cdot)\) \(\chi_{1081}(8,\cdot)\) \(\chi_{1081}(9,\cdot)\) \(\chi_{1081}(12,\cdot)\) \(\chi_{1081}(16,\cdot)\) \(\chi_{1081}(18,\cdot)\) \(\chi_{1081}(25,\cdot)\) \(\chi_{1081}(27,\cdot)\) \(\chi_{1081}(32,\cdot)\) \(\chi_{1081}(36,\cdot)\) \(\chi_{1081}(49,\cdot)\) \(\chi_{1081}(50,\cdot)\) \(\chi_{1081}(54,\cdot)\) \(\chi_{1081}(55,\cdot)\) \(\chi_{1081}(59,\cdot)\) \(\chi_{1081}(64,\cdot)\) \(\chi_{1081}(71,\cdot)\) \(\chi_{1081}(72,\cdot)\) \(\chi_{1081}(75,\cdot)\) \(\chi_{1081}(81,\cdot)\) \(\chi_{1081}(96,\cdot)\) \(\chi_{1081}(98,\cdot)\) \(\chi_{1081}(100,\cdot)\) \(\chi_{1081}(101,\cdot)\) \(\chi_{1081}(108,\cdot)\) \(\chi_{1081}(110,\cdot)\) \(\chi_{1081}(118,\cdot)\) ...

Related number fields

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

Values on generators

\((189,898)\) → \((e\left(\frac{5}{11}\right),e\left(\frac{16}{23}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 1081 }(101, a) \)	\(1\)	\(1\)	\(e\left(\frac{109}{253}\right)\)	\(e\left(\frac{47}{253}\right)\)	\(e\left(\frac{218}{253}\right)\)	\(e\left(\frac{38}{253}\right)\)	\(e\left(\frac{156}{253}\right)\)	\(e\left(\frac{227}{253}\right)\)	\(e\left(\frac{74}{253}\right)\)	\(e\left(\frac{94}{253}\right)\)	\(e\left(\frac{147}{253}\right)\)	\(e\left(\frac{243}{253}\right)\)