Dirichlet character \(\chi_{3751}(1028,\cdot)\)

• Label: 3751.1028
• 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.do

\(\chi_{3751}(5,\cdot)\) \(\chi_{3751}(25,\cdot)\) \(\chi_{3751}(36,\cdot)\) \(\chi_{3751}(180,\cdot)\) \(\chi_{3751}(191,\cdot)\) \(\chi_{3751}(273,\cdot)\) \(\chi_{3751}(284,\cdot)\) \(\chi_{3751}(335,\cdot)\) \(\chi_{3751}(346,\cdot)\) \(\chi_{3751}(377,\cdot)\) \(\chi_{3751}(521,\cdot)\) \(\chi_{3751}(532,\cdot)\) \(\chi_{3751}(625,\cdot)\) \(\chi_{3751}(676,\cdot)\) \(\chi_{3751}(687,\cdot)\) \(\chi_{3751}(707,\cdot)\) \(\chi_{3751}(718,\cdot)\) \(\chi_{3751}(862,\cdot)\) \(\chi_{3751}(873,\cdot)\) \(\chi_{3751}(955,\cdot)\) \(\chi_{3751}(966,\cdot)\) \(\chi_{3751}(1017,\cdot)\) \(\chi_{3751}(1028,\cdot)\) \(\chi_{3751}(1048,\cdot)\) \(\chi_{3751}(1059,\cdot)\) \(\chi_{3751}(1203,\cdot)\) \(\chi_{3751}(1214,\cdot)\) \(\chi_{3751}(1296,\cdot)\) \(\chi_{3751}(1307,\cdot)\) \(\chi_{3751}(1369,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{27}{55}\right),e\left(\frac{2}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1028, a) \)	\(1\)	\(1\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{109}{165}\right)\)	\(e\left(\frac{59}{165}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{28}{33}\right)\)