Dirichlet character \(\chi_{3751}(1044,\cdot)\)

• Label: 3751.1044
• Modulus: $3751$
• Conductor: $3751$
• Order: $330$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3751\)
Conductor:	\(3751\)
Order:	\(330\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3751.dv

\(\chi_{3751}(21,\cdot)\) \(\chi_{3751}(43,\cdot)\) \(\chi_{3751}(65,\cdot)\) \(\chi_{3751}(197,\cdot)\) \(\chi_{3751}(208,\cdot)\) \(\chi_{3751}(230,\cdot)\) \(\chi_{3751}(296,\cdot)\) \(\chi_{3751}(384,\cdot)\) \(\chi_{3751}(406,\cdot)\) \(\chi_{3751}(538,\cdot)\) \(\chi_{3751}(549,\cdot)\) \(\chi_{3751}(571,\cdot)\) \(\chi_{3751}(582,\cdot)\) \(\chi_{3751}(637,\cdot)\) \(\chi_{3751}(703,\cdot)\) \(\chi_{3751}(747,\cdot)\) \(\chi_{3751}(879,\cdot)\) \(\chi_{3751}(890,\cdot)\) \(\chi_{3751}(912,\cdot)\) \(\chi_{3751}(923,\cdot)\) \(\chi_{3751}(978,\cdot)\) \(\chi_{3751}(1044,\cdot)\) \(\chi_{3751}(1066,\cdot)\) \(\chi_{3751}(1220,\cdot)\) \(\chi_{3751}(1231,\cdot)\) \(\chi_{3751}(1253,\cdot)\) \(\chi_{3751}(1264,\cdot)\) \(\chi_{3751}(1319,\cdot)\) \(\chi_{3751}(1385,\cdot)\) \(\chi_{3751}(1407,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

\((2543,2421)\) → \((e\left(\frac{17}{22}\right),e\left(\frac{29}{30}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(1044, a) \)	\(1\)	\(1\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{161}{330}\right)\)	\(e\left(\frac{301}{330}\right)\)