Dirichlet character \(\chi_{3025}(291,\cdot)\)

• Label: 3025.291
• 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.ca

\(\chi_{3025}(16,\cdot)\) \(\chi_{3025}(86,\cdot)\) \(\chi_{3025}(246,\cdot)\) \(\chi_{3025}(256,\cdot)\) \(\chi_{3025}(291,\cdot)\) \(\chi_{3025}(361,\cdot)\) \(\chi_{3025}(521,\cdot)\) \(\chi_{3025}(531,\cdot)\) \(\chi_{3025}(566,\cdot)\) \(\chi_{3025}(636,\cdot)\) \(\chi_{3025}(796,\cdot)\) \(\chi_{3025}(806,\cdot)\) \(\chi_{3025}(841,\cdot)\) \(\chi_{3025}(911,\cdot)\) \(\chi_{3025}(1071,\cdot)\) \(\chi_{3025}(1081,\cdot)\) \(\chi_{3025}(1186,\cdot)\) \(\chi_{3025}(1346,\cdot)\) \(\chi_{3025}(1356,\cdot)\) \(\chi_{3025}(1391,\cdot)\) \(\chi_{3025}(1621,\cdot)\) \(\chi_{3025}(1631,\cdot)\) \(\chi_{3025}(1666,\cdot)\) \(\chi_{3025}(1736,\cdot)\) \(\chi_{3025}(1906,\cdot)\) \(\chi_{3025}(1941,\cdot)\) \(\chi_{3025}(2011,\cdot)\) \(\chi_{3025}(2171,\cdot)\) \(\chi_{3025}(2216,\cdot)\) \(\chi_{3025}(2286,\cdot)\) ...

Related number fields

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

Values on generators

\((727,2301)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{7}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(291, a) \)	\(1\)	\(1\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{12}{55}\right)\)