Dirichlet character \(\chi_{3168}(787,\cdot)\)

• Label: 3168.787
• Modulus: $3168$
• Conductor: $3168$
• Order: $120$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3168\)
Conductor:	\(3168\)
Order:	\(120\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3168.er

\(\chi_{3168}(139,\cdot)\) \(\chi_{3168}(211,\cdot)\) \(\chi_{3168}(259,\cdot)\) \(\chi_{3168}(283,\cdot)\) \(\chi_{3168}(403,\cdot)\) \(\chi_{3168}(475,\cdot)\) \(\chi_{3168}(547,\cdot)\) \(\chi_{3168}(787,\cdot)\) \(\chi_{3168}(931,\cdot)\) \(\chi_{3168}(1003,\cdot)\) \(\chi_{3168}(1051,\cdot)\) \(\chi_{3168}(1075,\cdot)\) \(\chi_{3168}(1195,\cdot)\) \(\chi_{3168}(1267,\cdot)\) \(\chi_{3168}(1339,\cdot)\) \(\chi_{3168}(1579,\cdot)\) \(\chi_{3168}(1723,\cdot)\) \(\chi_{3168}(1795,\cdot)\) \(\chi_{3168}(1843,\cdot)\) \(\chi_{3168}(1867,\cdot)\) \(\chi_{3168}(1987,\cdot)\) \(\chi_{3168}(2059,\cdot)\) \(\chi_{3168}(2131,\cdot)\) \(\chi_{3168}(2371,\cdot)\) \(\chi_{3168}(2515,\cdot)\) \(\chi_{3168}(2587,\cdot)\) \(\chi_{3168}(2635,\cdot)\) \(\chi_{3168}(2659,\cdot)\) \(\chi_{3168}(2779,\cdot)\) \(\chi_{3168}(2851,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{120})$
Fixed field:	Number field defined by a degree 120 polynomial (not computed)

Values on generators

\((991,1189,353,1729)\) → \((-1,e\left(\frac{7}{8}\right),e\left(\frac{1}{3}\right),e\left(\frac{9}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 3168 }(787, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{40}\right)\)