Dirichlet character \(\chi_{3025}(984,\cdot)\)

• Label: 3025.984
• Modulus: $3025$
• Conductor: $3025$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 3025.cj

\(\chi_{3025}(4,\cdot)\) \(\chi_{3025}(64,\cdot)\) \(\chi_{3025}(69,\cdot)\) \(\chi_{3025}(159,\cdot)\) \(\chi_{3025}(279,\cdot)\) \(\chi_{3025}(339,\cdot)\) \(\chi_{3025}(344,\cdot)\) \(\chi_{3025}(434,\cdot)\) \(\chi_{3025}(554,\cdot)\) \(\chi_{3025}(619,\cdot)\) \(\chi_{3025}(709,\cdot)\) \(\chi_{3025}(829,\cdot)\) \(\chi_{3025}(889,\cdot)\) \(\chi_{3025}(894,\cdot)\) \(\chi_{3025}(984,\cdot)\) \(\chi_{3025}(1104,\cdot)\) \(\chi_{3025}(1164,\cdot)\) \(\chi_{3025}(1169,\cdot)\) \(\chi_{3025}(1259,\cdot)\) \(\chi_{3025}(1379,\cdot)\) \(\chi_{3025}(1439,\cdot)\) \(\chi_{3025}(1444,\cdot)\) \(\chi_{3025}(1534,\cdot)\) \(\chi_{3025}(1714,\cdot)\) \(\chi_{3025}(1719,\cdot)\) \(\chi_{3025}(1809,\cdot)\) \(\chi_{3025}(1929,\cdot)\) \(\chi_{3025}(1989,\cdot)\) \(\chi_{3025}(1994,\cdot)\) \(\chi_{3025}(2204,\cdot)\) ...

Related number fields

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

Values on generators

\((727,2301)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{2}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(984, a) \)	\(1\)	\(1\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{27}{55}\right)\)