Dirichlet character \(\chi_{9075}(62,\cdot)\)

• Label: 9075.62
• Modulus: $9075$
• Conductor: $9075$
• Order: $220$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(9075\)
Conductor:	\(9075\)
Order:	\(220\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 9075.gd

\(\chi_{9075}(17,\cdot)\) \(\chi_{9075}(62,\cdot)\) \(\chi_{9075}(83,\cdot)\) \(\chi_{9075}(173,\cdot)\) \(\chi_{9075}(497,\cdot)\) \(\chi_{9075}(728,\cdot)\) \(\chi_{9075}(788,\cdot)\) \(\chi_{9075}(842,\cdot)\) \(\chi_{9075}(908,\cdot)\) \(\chi_{9075}(998,\cdot)\) \(\chi_{9075}(1427,\cdot)\) \(\chi_{9075}(1553,\cdot)\) \(\chi_{9075}(1712,\cdot)\) \(\chi_{9075}(1733,\cdot)\) \(\chi_{9075}(1823,\cdot)\) \(\chi_{9075}(2147,\cdot)\) \(\chi_{9075}(2252,\cdot)\) \(\chi_{9075}(2378,\cdot)\) \(\chi_{9075}(2438,\cdot)\) \(\chi_{9075}(2492,\cdot)\) \(\chi_{9075}(2537,\cdot)\) \(\chi_{9075}(2558,\cdot)\) \(\chi_{9075}(2648,\cdot)\) \(\chi_{9075}(2972,\cdot)\) \(\chi_{9075}(3077,\cdot)\) \(\chi_{9075}(3203,\cdot)\) \(\chi_{9075}(3263,\cdot)\) \(\chi_{9075}(3317,\cdot)\) \(\chi_{9075}(3362,\cdot)\) \(\chi_{9075}(3383,\cdot)\) ...

Related number fields

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

Values on generators

\((3026,727,5326)\) → \((-1,e\left(\frac{9}{20}\right),e\left(\frac{87}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\( \chi_{ 9075 }(62, a) \)	\(-1\)	\(1\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{49}{220}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{23}{220}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{179}{220}\right)\)