Dirichlet character \(\chi_{3751}(1070,\cdot)\)

• Label: 3751.1070
• 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.cm

\(\chi_{3751}(47,\cdot)\) \(\chi_{3751}(159,\cdot)\) \(\chi_{3751}(163,\cdot)\) \(\chi_{3751}(312,\cdot)\) \(\chi_{3751}(388,\cdot)\) \(\chi_{3751}(500,\cdot)\) \(\chi_{3751}(504,\cdot)\) \(\chi_{3751}(653,\cdot)\) \(\chi_{3751}(841,\cdot)\) \(\chi_{3751}(845,\cdot)\) \(\chi_{3751}(994,\cdot)\) \(\chi_{3751}(1070,\cdot)\) \(\chi_{3751}(1182,\cdot)\) \(\chi_{3751}(1186,\cdot)\) \(\chi_{3751}(1335,\cdot)\) \(\chi_{3751}(1411,\cdot)\) \(\chi_{3751}(1523,\cdot)\) \(\chi_{3751}(1527,\cdot)\) \(\chi_{3751}(1676,\cdot)\) \(\chi_{3751}(1752,\cdot)\) \(\chi_{3751}(1864,\cdot)\) \(\chi_{3751}(1868,\cdot)\) \(\chi_{3751}(2093,\cdot)\) \(\chi_{3751}(2209,\cdot)\) \(\chi_{3751}(2358,\cdot)\) \(\chi_{3751}(2434,\cdot)\) \(\chi_{3751}(2546,\cdot)\) \(\chi_{3751}(2699,\cdot)\) \(\chi_{3751}(2775,\cdot)\) \(\chi_{3751}(2887,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{14}{55}\right),e\left(\frac{1}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1070, a) \)	\(1\)	\(1\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{39}{55}\right)\)