Dirichlet character \(\chi_{3724}(155,\cdot)\)

• Label: 3724.155
• Modulus: $3724$
• Conductor: $3724$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 3724.el

\(\chi_{3724}(15,\cdot)\) \(\chi_{3724}(71,\cdot)\) \(\chi_{3724}(127,\cdot)\) \(\chi_{3724}(155,\cdot)\) \(\chi_{3724}(211,\cdot)\) \(\chi_{3724}(547,\cdot)\) \(\chi_{3724}(603,\cdot)\) \(\chi_{3724}(659,\cdot)\) \(\chi_{3724}(743,\cdot)\) \(\chi_{3724}(827,\cdot)\) \(\chi_{3724}(1135,\cdot)\) \(\chi_{3724}(1191,\cdot)\) \(\chi_{3724}(1219,\cdot)\) \(\chi_{3724}(1359,\cdot)\) \(\chi_{3724}(1611,\cdot)\) \(\chi_{3724}(1723,\cdot)\) \(\chi_{3724}(1751,\cdot)\) \(\chi_{3724}(1807,\cdot)\) \(\chi_{3724}(1891,\cdot)\) \(\chi_{3724}(2143,\cdot)\) \(\chi_{3724}(2199,\cdot)\) \(\chi_{3724}(2283,\cdot)\) \(\chi_{3724}(2339,\cdot)\) \(\chi_{3724}(2423,\cdot)\) \(\chi_{3724}(2675,\cdot)\) \(\chi_{3724}(2731,\cdot)\) \(\chi_{3724}(2787,\cdot)\) \(\chi_{3724}(2815,\cdot)\) \(\chi_{3724}(2871,\cdot)\) \(\chi_{3724}(2955,\cdot)\) ...

Related number fields

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

Values on generators

\((1863,3041,3137)\) → \((-1,e\left(\frac{6}{7}\right),e\left(\frac{13}{18}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 3724 }(155, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{113}{126}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{41}{63}\right)\)	\(e\left(\frac{65}{126}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{5}{21}\right)\)