Dirichlet character \(\chi_{3025}(1289,\cdot)\)

• Label: 3025.1289
• Modulus: $3025$
• Conductor: $3025$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(3025\)
Conductor:	\(3025\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3025.cp

\(\chi_{3025}(19,\cdot)\) \(\chi_{3025}(29,\cdot)\) \(\chi_{3025}(189,\cdot)\) \(\chi_{3025}(259,\cdot)\) \(\chi_{3025}(294,\cdot)\) \(\chi_{3025}(304,\cdot)\) \(\chi_{3025}(464,\cdot)\) \(\chi_{3025}(534,\cdot)\) \(\chi_{3025}(569,\cdot)\) \(\chi_{3025}(579,\cdot)\) \(\chi_{3025}(739,\cdot)\) \(\chi_{3025}(809,\cdot)\) \(\chi_{3025}(854,\cdot)\) \(\chi_{3025}(1014,\cdot)\) \(\chi_{3025}(1084,\cdot)\) \(\chi_{3025}(1119,\cdot)\) \(\chi_{3025}(1289,\cdot)\) \(\chi_{3025}(1359,\cdot)\) \(\chi_{3025}(1394,\cdot)\) \(\chi_{3025}(1404,\cdot)\) \(\chi_{3025}(1634,\cdot)\) \(\chi_{3025}(1669,\cdot)\) \(\chi_{3025}(1679,\cdot)\) \(\chi_{3025}(1839,\cdot)\) \(\chi_{3025}(1944,\cdot)\) \(\chi_{3025}(1954,\cdot)\) \(\chi_{3025}(2114,\cdot)\) \(\chi_{3025}(2184,\cdot)\) \(\chi_{3025}(2219,\cdot)\) \(\chi_{3025}(2229,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((727,2301)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{41}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(1289, a) \)	\(-1\)	\(1\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)