Dirichlet character \(\chi_{3025}(873,\cdot)\)

• Label: 3025.873
• Modulus: $3025$
• Conductor: $3025$
• Order: $220$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(3025\)
Conductor:	\(3025\)
Order:	\(220\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 3025.df

\(\chi_{3025}(42,\cdot)\) \(\chi_{3025}(48,\cdot)\) \(\chi_{3025}(108,\cdot)\) \(\chi_{3025}(113,\cdot)\) \(\chi_{3025}(203,\cdot)\) \(\chi_{3025}(212,\cdot)\) \(\chi_{3025}(247,\cdot)\) \(\chi_{3025}(317,\cdot)\) \(\chi_{3025}(383,\cdot)\) \(\chi_{3025}(388,\cdot)\) \(\chi_{3025}(477,\cdot)\) \(\chi_{3025}(478,\cdot)\) \(\chi_{3025}(522,\cdot)\) \(\chi_{3025}(592,\cdot)\) \(\chi_{3025}(598,\cdot)\) \(\chi_{3025}(658,\cdot)\) \(\chi_{3025}(663,\cdot)\) \(\chi_{3025}(752,\cdot)\) \(\chi_{3025}(762,\cdot)\) \(\chi_{3025}(797,\cdot)\) \(\chi_{3025}(867,\cdot)\) \(\chi_{3025}(873,\cdot)\) \(\chi_{3025}(933,\cdot)\) \(\chi_{3025}(938,\cdot)\) \(\chi_{3025}(1027,\cdot)\) \(\chi_{3025}(1028,\cdot)\) \(\chi_{3025}(1037,\cdot)\) \(\chi_{3025}(1072,\cdot)\) \(\chi_{3025}(1142,\cdot)\) \(\chi_{3025}(1148,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{220})$
Fixed field:	Number field defined by a degree 220 polynomial (not computed)

Values on generators

\((727,2301)\) → \((e\left(\frac{11}{20}\right),e\left(\frac{51}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(873, a) \)	\(-1\)	\(1\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{53}{220}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{89}{220}\right)\)	\(e\left(\frac{23}{220}\right)\)	\(e\left(\frac{79}{110}\right)\)