Dirichlet character \(\chi_{3895}(1248,\cdot)\)

• Label: 3895.1248
• Modulus: $3895$
• Conductor: $3895$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3895\)
Conductor:	\(3895\)
Order:	\(180\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3895.fy

\(\chi_{3895}(78,\cdot)\) \(\chi_{3895}(98,\cdot)\) \(\chi_{3895}(223,\cdot)\) \(\chi_{3895}(242,\cdot)\) \(\chi_{3895}(262,\cdot)\) \(\chi_{3895}(338,\cdot)\) \(\chi_{3895}(428,\cdot)\) \(\chi_{3895}(447,\cdot)\) \(\chi_{3895}(488,\cdot)\) \(\chi_{3895}(508,\cdot)\) \(\chi_{3895}(592,\cdot)\) \(\chi_{3895}(713,\cdot)\) \(\chi_{3895}(838,\cdot)\) \(\chi_{3895}(857,\cdot)\) \(\chi_{3895}(877,\cdot)\) \(\chi_{3895}(953,\cdot)\) \(\chi_{3895}(1002,\cdot)\) \(\chi_{3895}(1117,\cdot)\) \(\chi_{3895}(1123,\cdot)\) \(\chi_{3895}(1207,\cdot)\) \(\chi_{3895}(1248,\cdot)\) \(\chi_{3895}(1267,\cdot)\) \(\chi_{3895}(1287,\cdot)\) \(\chi_{3895}(1363,\cdot)\) \(\chi_{3895}(1492,\cdot)\) \(\chi_{3895}(1533,\cdot)\) \(\chi_{3895}(1568,\cdot)\) \(\chi_{3895}(1617,\cdot)\) \(\chi_{3895}(1732,\cdot)\) \(\chi_{3895}(1902,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

\((3117,2871,1236)\) → \((-i,e\left(\frac{5}{18}\right),e\left(\frac{2}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 3895 }(1248, a) \)	\(1\)	\(1\)	\(e\left(\frac{77}{180}\right)\)	\(e\left(\frac{31}{36}\right)\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{13}{45}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{7}{180}\right)\)