Dirichlet character \(\chi_{3025}(262,\cdot)\)

• Label: 3025.262
• 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.cu

\(\chi_{3025}(47,\cdot)\) \(\chi_{3025}(92,\cdot)\) \(\chi_{3025}(158,\cdot)\) \(\chi_{3025}(163,\cdot)\) \(\chi_{3025}(262,\cdot)\) \(\chi_{3025}(278,\cdot)\) \(\chi_{3025}(302,\cdot)\) \(\chi_{3025}(322,\cdot)\) \(\chi_{3025}(367,\cdot)\) \(\chi_{3025}(423,\cdot)\) \(\chi_{3025}(433,\cdot)\) \(\chi_{3025}(438,\cdot)\) \(\chi_{3025}(537,\cdot)\) \(\chi_{3025}(553,\cdot)\) \(\chi_{3025}(577,\cdot)\) \(\chi_{3025}(597,\cdot)\) \(\chi_{3025}(642,\cdot)\) \(\chi_{3025}(698,\cdot)\) \(\chi_{3025}(708,\cdot)\) \(\chi_{3025}(713,\cdot)\) \(\chi_{3025}(812,\cdot)\) \(\chi_{3025}(828,\cdot)\) \(\chi_{3025}(852,\cdot)\) \(\chi_{3025}(872,\cdot)\) \(\chi_{3025}(917,\cdot)\) \(\chi_{3025}(973,\cdot)\) \(\chi_{3025}(983,\cdot)\) \(\chi_{3025}(988,\cdot)\) \(\chi_{3025}(1087,\cdot)\) \(\chi_{3025}(1103,\cdot)\) ...

Related number fields

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

Values on generators

\((727,2301)\) → \((e\left(\frac{9}{20}\right),e\left(\frac{38}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(12\)	\(13\)	\(14\)
\( \chi_{ 3025 }(262, a) \)	\(-1\)	\(1\)	\(e\left(\frac{31}{220}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{19}{220}\right)\)	\(e\left(\frac{93}{220}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{51}{220}\right)\)	\(e\left(\frac{73}{220}\right)\)	\(e\left(\frac{5}{22}\right)\)