Dirichlet character \(\chi_{3025}(1409,\cdot)\)

• Label: 3025.1409
• 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.cl

\(\chi_{3025}(34,\cdot)\) \(\chi_{3025}(89,\cdot)\) \(\chi_{3025}(144,\cdot)\) \(\chi_{3025}(254,\cdot)\) \(\chi_{3025}(309,\cdot)\) \(\chi_{3025}(419,\cdot)\) \(\chi_{3025}(529,\cdot)\) \(\chi_{3025}(584,\cdot)\) \(\chi_{3025}(639,\cdot)\) \(\chi_{3025}(694,\cdot)\) \(\chi_{3025}(804,\cdot)\) \(\chi_{3025}(859,\cdot)\) \(\chi_{3025}(914,\cdot)\) \(\chi_{3025}(1079,\cdot)\) \(\chi_{3025}(1134,\cdot)\) \(\chi_{3025}(1189,\cdot)\) \(\chi_{3025}(1244,\cdot)\) \(\chi_{3025}(1354,\cdot)\) \(\chi_{3025}(1409,\cdot)\) \(\chi_{3025}(1464,\cdot)\) \(\chi_{3025}(1519,\cdot)\) \(\chi_{3025}(1629,\cdot)\) \(\chi_{3025}(1684,\cdot)\) \(\chi_{3025}(1739,\cdot)\) \(\chi_{3025}(1794,\cdot)\) \(\chi_{3025}(1904,\cdot)\) \(\chi_{3025}(1959,\cdot)\) \(\chi_{3025}(2014,\cdot)\) \(\chi_{3025}(2069,\cdot)\) \(\chi_{3025}(2234,\cdot)\) ...

Related number fields

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

Values on generators

\((727,2301)\) → \((e\left(\frac{7}{10}\right),e\left(\frac{8}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(1409, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{1}{55}\right)\)