Dirichlet character \(\chi_{3751}(1019,\cdot)\)

• Label: 3751.1019
• Modulus: $3751$
• Conductor: $3751$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3751\)
Conductor:	\(3751\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3751.da

\(\chi_{3751}(85,\cdot)\) \(\chi_{3751}(277,\cdot)\) \(\chi_{3751}(325,\cdot)\) \(\chi_{3751}(337,\cdot)\) \(\chi_{3751}(426,\cdot)\) \(\chi_{3751}(618,\cdot)\) \(\chi_{3751}(666,\cdot)\) \(\chi_{3751}(678,\cdot)\) \(\chi_{3751}(767,\cdot)\) \(\chi_{3751}(1007,\cdot)\) \(\chi_{3751}(1019,\cdot)\) \(\chi_{3751}(1108,\cdot)\) \(\chi_{3751}(1300,\cdot)\) \(\chi_{3751}(1348,\cdot)\) \(\chi_{3751}(1360,\cdot)\) \(\chi_{3751}(1641,\cdot)\) \(\chi_{3751}(1689,\cdot)\) \(\chi_{3751}(1701,\cdot)\) \(\chi_{3751}(1790,\cdot)\) \(\chi_{3751}(1982,\cdot)\) \(\chi_{3751}(2042,\cdot)\) \(\chi_{3751}(2131,\cdot)\) \(\chi_{3751}(2323,\cdot)\) \(\chi_{3751}(2371,\cdot)\) \(\chi_{3751}(2383,\cdot)\) \(\chi_{3751}(2472,\cdot)\) \(\chi_{3751}(2664,\cdot)\) \(\chi_{3751}(2712,\cdot)\) \(\chi_{3751}(2724,\cdot)\) \(\chi_{3751}(2813,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((2543,2421)\) → \((e\left(\frac{27}{110}\right),e\left(\frac{1}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1019, a) \)	\(1\)	\(1\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{109}{110}\right)\)