Dirichlet character \(\chi_{3381}(359,\cdot)\)

• Label: 3381.359
• Modulus: $3381$
• Conductor: $3381$
• Order: $462$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3381\)
Conductor:	\(3381\)
Order:	\(462\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3381.ci

\(\chi_{3381}(11,\cdot)\) \(\chi_{3381}(44,\cdot)\) \(\chi_{3381}(53,\cdot)\) \(\chi_{3381}(65,\cdot)\) \(\chi_{3381}(74,\cdot)\) \(\chi_{3381}(86,\cdot)\) \(\chi_{3381}(107,\cdot)\) \(\chi_{3381}(149,\cdot)\) \(\chi_{3381}(158,\cdot)\) \(\chi_{3381}(191,\cdot)\) \(\chi_{3381}(212,\cdot)\) \(\chi_{3381}(221,\cdot)\) \(\chi_{3381}(296,\cdot)\) \(\chi_{3381}(359,\cdot)\) \(\chi_{3381}(389,\cdot)\) \(\chi_{3381}(401,\cdot)\) \(\chi_{3381}(431,\cdot)\) \(\chi_{3381}(452,\cdot)\) \(\chi_{3381}(494,\cdot)\) \(\chi_{3381}(527,\cdot)\) \(\chi_{3381}(536,\cdot)\) \(\chi_{3381}(548,\cdot)\) \(\chi_{3381}(590,\cdot)\) \(\chi_{3381}(632,\cdot)\) \(\chi_{3381}(641,\cdot)\) \(\chi_{3381}(674,\cdot)\) \(\chi_{3381}(695,\cdot)\) \(\chi_{3381}(746,\cdot)\) \(\chi_{3381}(779,\cdot)\) \(\chi_{3381}(842,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{231})$
Fixed field:	Number field defined by a degree 462 polynomial (not computed)

Values on generators

\((2255,346,442)\) → \((-1,e\left(\frac{10}{21}\right),e\left(\frac{21}{22}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 3381 }(359, a) \)	\(1\)	\(1\)	\(e\left(\frac{365}{462}\right)\)	\(e\left(\frac{134}{231}\right)\)	\(e\left(\frac{61}{231}\right)\)	\(e\left(\frac{57}{154}\right)\)	\(e\left(\frac{25}{462}\right)\)	\(e\left(\frac{32}{231}\right)\)	\(e\left(\frac{6}{77}\right)\)	\(e\left(\frac{37}{231}\right)\)	\(e\left(\frac{20}{231}\right)\)	\(e\left(\frac{65}{66}\right)\)