Dirichlet character \(\chi_{2681}(279,\cdot)\)

• Label: 2681.279
• Modulus: $2681$
• Conductor: $2681$
• Order: $382$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2681\)
Conductor:	\(2681\)
Order:	\(382\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2681.l

\(\chi_{2681}(6,\cdot)\) \(\chi_{2681}(27,\cdot)\) \(\chi_{2681}(34,\cdot)\) \(\chi_{2681}(48,\cdot)\) \(\chi_{2681}(55,\cdot)\) \(\chi_{2681}(62,\cdot)\) \(\chi_{2681}(69,\cdot)\) \(\chi_{2681}(76,\cdot)\) \(\chi_{2681}(139,\cdot)\) \(\chi_{2681}(146,\cdot)\) \(\chi_{2681}(153,\cdot)\) \(\chi_{2681}(174,\cdot)\) \(\chi_{2681}(195,\cdot)\) \(\chi_{2681}(202,\cdot)\) \(\chi_{2681}(216,\cdot)\) \(\chi_{2681}(223,\cdot)\) \(\chi_{2681}(251,\cdot)\) \(\chi_{2681}(258,\cdot)\) \(\chi_{2681}(265,\cdot)\) \(\chi_{2681}(272,\cdot)\) \(\chi_{2681}(279,\cdot)\) \(\chi_{2681}(286,\cdot)\) \(\chi_{2681}(293,\cdot)\) \(\chi_{2681}(300,\cdot)\) \(\chi_{2681}(342,\cdot)\) \(\chi_{2681}(363,\cdot)\) \(\chi_{2681}(370,\cdot)\) \(\chi_{2681}(391,\cdot)\) \(\chi_{2681}(412,\cdot)\) \(\chi_{2681}(419,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{191})$
Fixed field:	Number field defined by a degree 382 polynomial (not computed)

Values on generators

\((2299,771)\) → \((-1,e\left(\frac{33}{191}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 2681 }(279, a) \)	\(-1\)	\(1\)	\(e\left(\frac{29}{191}\right)\)	\(e\left(\frac{167}{382}\right)\)	\(e\left(\frac{58}{191}\right)\)	\(e\left(\frac{257}{382}\right)\)	\(e\left(\frac{225}{382}\right)\)	\(e\left(\frac{87}{191}\right)\)	\(e\left(\frac{167}{191}\right)\)	\(e\left(\frac{315}{382}\right)\)	\(e\left(\frac{147}{191}\right)\)	\(e\left(\frac{283}{382}\right)\)