Dirichlet character \(\chi_{3751}(196,\cdot)\)

• Label: 3751.196
• Modulus: $3751$
• Conductor: $3751$
• Order: $165$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3751\)
Conductor:	\(3751\)
Order:	\(165\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3751.dm

\(\chi_{3751}(14,\cdot)\) \(\chi_{3751}(49,\cdot)\) \(\chi_{3751}(102,\cdot)\) \(\chi_{3751}(174,\cdot)\) \(\chi_{3751}(196,\cdot)\) \(\chi_{3751}(214,\cdot)\) \(\chi_{3751}(224,\cdot)\) \(\chi_{3751}(268,\cdot)\) \(\chi_{3751}(355,\cdot)\) \(\chi_{3751}(443,\cdot)\) \(\chi_{3751}(515,\cdot)\) \(\chi_{3751}(537,\cdot)\) \(\chi_{3751}(555,\cdot)\) \(\chi_{3751}(609,\cdot)\) \(\chi_{3751}(696,\cdot)\) \(\chi_{3751}(731,\cdot)\) \(\chi_{3751}(784,\cdot)\) \(\chi_{3751}(878,\cdot)\) \(\chi_{3751}(896,\cdot)\) \(\chi_{3751}(906,\cdot)\) \(\chi_{3751}(950,\cdot)\) \(\chi_{3751}(1037,\cdot)\) \(\chi_{3751}(1072,\cdot)\) \(\chi_{3751}(1125,\cdot)\) \(\chi_{3751}(1197,\cdot)\) \(\chi_{3751}(1247,\cdot)\) \(\chi_{3751}(1378,\cdot)\) \(\chi_{3751}(1413,\cdot)\) \(\chi_{3751}(1466,\cdot)\) \(\chi_{3751}(1538,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 165 polynomial (not computed)

Values on generators

\((2543,2421)\) → \((e\left(\frac{8}{55}\right),e\left(\frac{7}{15}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(196, a) \)	\(1\)	\(1\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{158}{165}\right)\)