Dirichlet character \(\chi_{3751}(105,\cdot)\)

• Label: 3751.105
• 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.ea

\(\chi_{3751}(13,\cdot)\) \(\chi_{3751}(83,\cdot)\) \(\chi_{3751}(84,\cdot)\) \(\chi_{3751}(105,\cdot)\) \(\chi_{3751}(172,\cdot)\) \(\chi_{3751}(189,\cdot)\) \(\chi_{3751}(228,\cdot)\) \(\chi_{3751}(272,\cdot)\) \(\chi_{3751}(424,\cdot)\) \(\chi_{3751}(425,\cdot)\) \(\chi_{3751}(446,\cdot)\) \(\chi_{3751}(513,\cdot)\) \(\chi_{3751}(530,\cdot)\) \(\chi_{3751}(569,\cdot)\) \(\chi_{3751}(613,\cdot)\) \(\chi_{3751}(695,\cdot)\) \(\chi_{3751}(765,\cdot)\) \(\chi_{3751}(787,\cdot)\) \(\chi_{3751}(854,\cdot)\) \(\chi_{3751}(871,\cdot)\) \(\chi_{3751}(910,\cdot)\) \(\chi_{3751}(954,\cdot)\) \(\chi_{3751}(1036,\cdot)\) \(\chi_{3751}(1106,\cdot)\) \(\chi_{3751}(1107,\cdot)\) \(\chi_{3751}(1128,\cdot)\) \(\chi_{3751}(1195,\cdot)\) \(\chi_{3751}(1212,\cdot)\) \(\chi_{3751}(1251,\cdot)\) \(\chi_{3751}(1295,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{59}{110}\right),e\left(\frac{19}{30}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(105, a) \)	\(1\)	\(1\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{59}{165}\right)\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{161}{330}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{101}{330}\right)\)