Dirichlet character \(\chi_{3751}(826,\cdot)\)

• Label: 3751.826
• 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.dp

\(\chi_{3751}(45,\cdot)\) \(\chi_{3751}(100,\cdot)\) \(\chi_{3751}(111,\cdot)\) \(\chi_{3751}(133,\cdot)\) \(\chi_{3751}(144,\cdot)\) \(\chi_{3751}(276,\cdot)\) \(\chi_{3751}(298,\cdot)\) \(\chi_{3751}(320,\cdot)\) \(\chi_{3751}(386,\cdot)\) \(\chi_{3751}(441,\cdot)\) \(\chi_{3751}(452,\cdot)\) \(\chi_{3751}(474,\cdot)\) \(\chi_{3751}(617,\cdot)\) \(\chi_{3751}(639,\cdot)\) \(\chi_{3751}(661,\cdot)\) \(\chi_{3751}(782,\cdot)\) \(\chi_{3751}(793,\cdot)\) \(\chi_{3751}(815,\cdot)\) \(\chi_{3751}(826,\cdot)\) \(\chi_{3751}(958,\cdot)\) \(\chi_{3751}(980,\cdot)\) \(\chi_{3751}(1002,\cdot)\) \(\chi_{3751}(1068,\cdot)\) \(\chi_{3751}(1123,\cdot)\) \(\chi_{3751}(1134,\cdot)\) \(\chi_{3751}(1156,\cdot)\) \(\chi_{3751}(1167,\cdot)\) \(\chi_{3751}(1299,\cdot)\) \(\chi_{3751}(1321,\cdot)\) \(\chi_{3751}(1343,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{4}{11}\right),e\left(\frac{4}{15}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(826, a) \)	\(1\)	\(1\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{131}{165}\right)\)