Dirichlet character \(\chi_{3381}(8,\cdot)\)

• Label: 3381.8
• Modulus: $3381$
• Conductor: $3381$
• Order: $154$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(3381\)
Conductor:	\(3381\)
Order:	\(154\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3381.bx

\(\chi_{3381}(8,\cdot)\) \(\chi_{3381}(29,\cdot)\) \(\chi_{3381}(71,\cdot)\) \(\chi_{3381}(239,\cdot)\) \(\chi_{3381}(302,\cdot)\) \(\chi_{3381}(386,\cdot)\) \(\chi_{3381}(407,\cdot)\) \(\chi_{3381}(449,\cdot)\) \(\chi_{3381}(512,\cdot)\) \(\chi_{3381}(533,\cdot)\) \(\chi_{3381}(554,\cdot)\) \(\chi_{3381}(680,\cdot)\) \(\chi_{3381}(722,\cdot)\) \(\chi_{3381}(869,\cdot)\) \(\chi_{3381}(890,\cdot)\) \(\chi_{3381}(974,\cdot)\) \(\chi_{3381}(995,\cdot)\) \(\chi_{3381}(1016,\cdot)\) \(\chi_{3381}(1037,\cdot)\) \(\chi_{3381}(1163,\cdot)\) \(\chi_{3381}(1205,\cdot)\) \(\chi_{3381}(1268,\cdot)\) \(\chi_{3381}(1352,\cdot)\) \(\chi_{3381}(1415,\cdot)\) \(\chi_{3381}(1457,\cdot)\) \(\chi_{3381}(1478,\cdot)\) \(\chi_{3381}(1499,\cdot)\) \(\chi_{3381}(1646,\cdot)\) \(\chi_{3381}(1688,\cdot)\) \(\chi_{3381}(1751,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{77})$
Fixed field:	Number field defined by a degree 154 polynomial (not computed)

Values on generators

\((2255,346,442)\) → \((-1,e\left(\frac{6}{7}\right),e\left(\frac{3}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 3381 }(8, a) \)	\(-1\)	\(1\)	\(e\left(\frac{51}{154}\right)\)	\(e\left(\frac{51}{77}\right)\)	\(e\left(\frac{97}{154}\right)\)	\(e\left(\frac{153}{154}\right)\)	\(e\left(\frac{74}{77}\right)\)	\(e\left(\frac{37}{154}\right)\)	\(e\left(\frac{8}{77}\right)\)	\(e\left(\frac{25}{77}\right)\)	\(e\left(\frac{129}{154}\right)\)	\(e\left(\frac{1}{11}\right)\)