Dirichlet character \(\chi_{3751}(1087,\cdot)\)

• Label: 3751.1087
• Modulus: $3751$
• Conductor: $3751$
• Order: $55$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3751\)
Conductor:	\(3751\)
Order:	\(55\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3751.cn

\(\chi_{3751}(4,\cdot)\) \(\chi_{3751}(16,\cdot)\) \(\chi_{3751}(64,\cdot)\) \(\chi_{3751}(256,\cdot)\) \(\chi_{3751}(345,\cdot)\) \(\chi_{3751}(357,\cdot)\) \(\chi_{3751}(405,\cdot)\) \(\chi_{3751}(597,\cdot)\) \(\chi_{3751}(698,\cdot)\) \(\chi_{3751}(746,\cdot)\) \(\chi_{3751}(938,\cdot)\) \(\chi_{3751}(1027,\cdot)\) \(\chi_{3751}(1039,\cdot)\) \(\chi_{3751}(1087,\cdot)\) \(\chi_{3751}(1279,\cdot)\) \(\chi_{3751}(1368,\cdot)\) \(\chi_{3751}(1380,\cdot)\) \(\chi_{3751}(1428,\cdot)\) \(\chi_{3751}(1620,\cdot)\) \(\chi_{3751}(1709,\cdot)\) \(\chi_{3751}(1769,\cdot)\) \(\chi_{3751}(1961,\cdot)\) \(\chi_{3751}(2050,\cdot)\) \(\chi_{3751}(2062,\cdot)\) \(\chi_{3751}(2110,\cdot)\) \(\chi_{3751}(2391,\cdot)\) \(\chi_{3751}(2403,\cdot)\) \(\chi_{3751}(2451,\cdot)\) \(\chi_{3751}(2643,\cdot)\) \(\chi_{3751}(2732,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 55 polynomial

Values on generators

\((2543,2421)\) → \((e\left(\frac{28}{55}\right),e\left(\frac{4}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1087, a) \)	\(1\)	\(1\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{1}{55}\right)\)