Dirichlet character \(\chi_{3751}(103,\cdot)\)

• Label: 3751.103
• Modulus: $3751$
• Conductor: $3751$
• Order: $165$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3751\)
Conductor:	\(3751\)
Order:	\(165\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3751.dn

\(\chi_{3751}(38,\cdot)\) \(\chi_{3751}(80,\cdot)\) \(\chi_{3751}(82,\cdot)\) \(\chi_{3751}(103,\cdot)\) \(\chi_{3751}(262,\cdot)\) \(\chi_{3751}(350,\cdot)\) \(\chi_{3751}(379,\cdot)\) \(\chi_{3751}(421,\cdot)\) \(\chi_{3751}(422,\cdot)\) \(\chi_{3751}(423,\cdot)\) \(\chi_{3751}(586,\cdot)\) \(\chi_{3751}(603,\cdot)\) \(\chi_{3751}(691,\cdot)\) \(\chi_{3751}(720,\cdot)\) \(\chi_{3751}(762,\cdot)\) \(\chi_{3751}(763,\cdot)\) \(\chi_{3751}(764,\cdot)\) \(\chi_{3751}(785,\cdot)\) \(\chi_{3751}(927,\cdot)\) \(\chi_{3751}(944,\cdot)\) \(\chi_{3751}(1032,\cdot)\) \(\chi_{3751}(1061,\cdot)\) \(\chi_{3751}(1103,\cdot)\) \(\chi_{3751}(1104,\cdot)\) \(\chi_{3751}(1105,\cdot)\) \(\chi_{3751}(1126,\cdot)\) \(\chi_{3751}(1268,\cdot)\) \(\chi_{3751}(1285,\cdot)\) \(\chi_{3751}(1373,\cdot)\) \(\chi_{3751}(1402,\cdot)\) ...

Related number fields

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

Values on generators

\((2543,2421)\) → \((e\left(\frac{6}{55}\right),e\left(\frac{7}{15}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 3751 }(103, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{62}{165}\right)\)	\(e\left(\frac{137}{165}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{118}{165}\right)\)	\(e\left(\frac{113}{165}\right)\)