Dirichlet character \(\chi_{3724}(1411,\cdot)\)

• Label: 3724.1411
• Modulus: $3724$
• Conductor: $3724$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(3724\)
Conductor:	\(3724\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3724.eh

\(\chi_{3724}(23,\cdot)\) \(\chi_{3724}(207,\cdot)\) \(\chi_{3724}(347,\cdot)\) \(\chi_{3724}(443,\cdot)\) \(\chi_{3724}(555,\cdot)\) \(\chi_{3724}(739,\cdot)\) \(\chi_{3724}(795,\cdot)\) \(\chi_{3724}(807,\cdot)\) \(\chi_{3724}(879,\cdot)\) \(\chi_{3724}(975,\cdot)\) \(\chi_{3724}(1087,\cdot)\) \(\chi_{3724}(1271,\cdot)\) \(\chi_{3724}(1327,\cdot)\) \(\chi_{3724}(1339,\cdot)\) \(\chi_{3724}(1411,\cdot)\) \(\chi_{3724}(1507,\cdot)\) \(\chi_{3724}(1619,\cdot)\) \(\chi_{3724}(1803,\cdot)\) \(\chi_{3724}(1859,\cdot)\) \(\chi_{3724}(1871,\cdot)\) \(\chi_{3724}(1943,\cdot)\) \(\chi_{3724}(2151,\cdot)\) \(\chi_{3724}(2335,\cdot)\) \(\chi_{3724}(2391,\cdot)\) \(\chi_{3724}(2403,\cdot)\) \(\chi_{3724}(2475,\cdot)\) \(\chi_{3724}(2571,\cdot)\) \(\chi_{3724}(2683,\cdot)\) \(\chi_{3724}(2867,\cdot)\) \(\chi_{3724}(2923,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((1863,3041,3137)\) → \((-1,e\left(\frac{17}{21}\right),e\left(\frac{8}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 3724 }(1411, a) \)	\(-1\)	\(1\)	\(e\left(\frac{109}{126}\right)\)	\(e\left(\frac{44}{63}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{71}{126}\right)\)	\(e\left(\frac{8}{63}\right)\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{25}{42}\right)\)