Dirichlet character \(\chi_{2668}(1819,\cdot)\)

• Label: 2668.1819
• Modulus: $2668$
• Conductor: $2668$
• Order: $308$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2668\)
Conductor:	\(2668\)
Order:	\(308\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2668.bs

\(\chi_{2668}(3,\cdot)\) \(\chi_{2668}(27,\cdot)\) \(\chi_{2668}(31,\cdot)\) \(\chi_{2668}(39,\cdot)\) \(\chi_{2668}(55,\cdot)\) \(\chi_{2668}(95,\cdot)\) \(\chi_{2668}(119,\cdot)\) \(\chi_{2668}(127,\cdot)\) \(\chi_{2668}(131,\cdot)\) \(\chi_{2668}(147,\cdot)\) \(\chi_{2668}(163,\cdot)\) \(\chi_{2668}(211,\cdot)\) \(\chi_{2668}(243,\cdot)\) \(\chi_{2668}(259,\cdot)\) \(\chi_{2668}(271,\cdot)\) \(\chi_{2668}(279,\cdot)\) \(\chi_{2668}(311,\cdot)\) \(\chi_{2668}(351,\cdot)\) \(\chi_{2668}(363,\cdot)\) \(\chi_{2668}(395,\cdot)\) \(\chi_{2668}(403,\cdot)\) \(\chi_{2668}(427,\cdot)\) \(\chi_{2668}(443,\cdot)\) \(\chi_{2668}(491,\cdot)\) \(\chi_{2668}(495,\cdot)\) \(\chi_{2668}(519,\cdot)\) \(\chi_{2668}(583,\cdot)\) \(\chi_{2668}(591,\cdot)\) \(\chi_{2668}(607,\cdot)\) \(\chi_{2668}(611,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{308})$
Fixed field:	Number field defined by a degree 308 polynomial (not computed)

Values on generators

\((1335,465,553)\) → \((-1,e\left(\frac{1}{11}\right),e\left(\frac{17}{28}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 2668 }(1819, a) \)	\(1\)	\(1\)	\(e\left(\frac{305}{308}\right)\)	\(e\left(\frac{69}{154}\right)\)	\(e\left(\frac{79}{154}\right)\)	\(e\left(\frac{151}{154}\right)\)	\(e\left(\frac{153}{308}\right)\)	\(e\left(\frac{31}{154}\right)\)	\(e\left(\frac{135}{308}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{101}{308}\right)\)	\(e\left(\frac{155}{308}\right)\)