Dirichlet character \(\chi_{3025}(1786,\cdot)\)

• Label: 3025.1786
• Modulus: $3025$
• Conductor: $3025$
• Order: $55$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3025\)
Conductor:	\(3025\)
Order:	\(55\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3025.bw

\(\chi_{3025}(31,\cdot)\) \(\chi_{3025}(71,\cdot)\) \(\chi_{3025}(91,\cdot)\) \(\chi_{3025}(136,\cdot)\) \(\chi_{3025}(306,\cdot)\) \(\chi_{3025}(346,\cdot)\) \(\chi_{3025}(411,\cdot)\) \(\chi_{3025}(581,\cdot)\) \(\chi_{3025}(621,\cdot)\) \(\chi_{3025}(641,\cdot)\) \(\chi_{3025}(896,\cdot)\) \(\chi_{3025}(916,\cdot)\) \(\chi_{3025}(961,\cdot)\) \(\chi_{3025}(1131,\cdot)\) \(\chi_{3025}(1171,\cdot)\) \(\chi_{3025}(1191,\cdot)\) \(\chi_{3025}(1236,\cdot)\) \(\chi_{3025}(1406,\cdot)\) \(\chi_{3025}(1446,\cdot)\) \(\chi_{3025}(1466,\cdot)\) \(\chi_{3025}(1511,\cdot)\) \(\chi_{3025}(1681,\cdot)\) \(\chi_{3025}(1741,\cdot)\) \(\chi_{3025}(1786,\cdot)\) \(\chi_{3025}(1956,\cdot)\) \(\chi_{3025}(1996,\cdot)\) \(\chi_{3025}(2016,\cdot)\) \(\chi_{3025}(2061,\cdot)\) \(\chi_{3025}(2231,\cdot)\) \(\chi_{3025}(2271,\cdot)\) ...

Related number fields

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

Values on generators

\((727,2301)\) → \((e\left(\frac{4}{5}\right),e\left(\frac{36}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(1786, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)