Dirichlet character \(\chi_{3751}(1101,\cdot)\)

• Label: 3751.1101
• 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.ck

\(\chi_{3751}(78,\cdot)\) \(\chi_{3751}(188,\cdot)\) \(\chi_{3751}(221,\cdot)\) \(\chi_{3751}(287,\cdot)\) \(\chi_{3751}(419,\cdot)\) \(\chi_{3751}(529,\cdot)\) \(\chi_{3751}(562,\cdot)\) \(\chi_{3751}(628,\cdot)\) \(\chi_{3751}(760,\cdot)\) \(\chi_{3751}(870,\cdot)\) \(\chi_{3751}(903,\cdot)\) \(\chi_{3751}(1101,\cdot)\) \(\chi_{3751}(1244,\cdot)\) \(\chi_{3751}(1310,\cdot)\) \(\chi_{3751}(1442,\cdot)\) \(\chi_{3751}(1552,\cdot)\) \(\chi_{3751}(1585,\cdot)\) \(\chi_{3751}(1651,\cdot)\) \(\chi_{3751}(1783,\cdot)\) \(\chi_{3751}(1893,\cdot)\) \(\chi_{3751}(1926,\cdot)\) \(\chi_{3751}(1992,\cdot)\) \(\chi_{3751}(2124,\cdot)\) \(\chi_{3751}(2234,\cdot)\) \(\chi_{3751}(2267,\cdot)\) \(\chi_{3751}(2333,\cdot)\) \(\chi_{3751}(2465,\cdot)\) \(\chi_{3751}(2575,\cdot)\) \(\chi_{3751}(2608,\cdot)\) \(\chi_{3751}(2674,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{9}{11}\right),e\left(\frac{1}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1101, a) \)	\(1\)	\(1\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{24}{55}\right)\)