Dirichlet character \(\chi_{18225}(434,\cdot)\)

• Label: 18225.434
• Modulus: $18225$
• Conductor: $18225$
• Order: $2430$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(18225\)
Conductor:	\(18225\)
Order:	\(2430\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 18225.cr

\(\chi_{18225}(14,\cdot)\) \(\chi_{18225}(29,\cdot)\) \(\chi_{18225}(59,\cdot)\) \(\chi_{18225}(104,\cdot)\) \(\chi_{18225}(119,\cdot)\) \(\chi_{18225}(164,\cdot)\) \(\chi_{18225}(194,\cdot)\) \(\chi_{18225}(209,\cdot)\) \(\chi_{18225}(239,\cdot)\) \(\chi_{18225}(254,\cdot)\) \(\chi_{18225}(284,\cdot)\) \(\chi_{18225}(329,\cdot)\) \(\chi_{18225}(344,\cdot)\) \(\chi_{18225}(389,\cdot)\) \(\chi_{18225}(419,\cdot)\) \(\chi_{18225}(434,\cdot)\) \(\chi_{18225}(464,\cdot)\) \(\chi_{18225}(479,\cdot)\) \(\chi_{18225}(509,\cdot)\) \(\chi_{18225}(554,\cdot)\) \(\chi_{18225}(569,\cdot)\) \(\chi_{18225}(614,\cdot)\) \(\chi_{18225}(644,\cdot)\) \(\chi_{18225}(659,\cdot)\) \(\chi_{18225}(689,\cdot)\) \(\chi_{18225}(704,\cdot)\) \(\chi_{18225}(734,\cdot)\) \(\chi_{18225}(779,\cdot)\) \(\chi_{18225}(794,\cdot)\) \(\chi_{18225}(839,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1215})$
Fixed field:	Number field defined by a degree 2430 polynomial (not computed)

Values on generators

\((4376,13852)\) → \((e\left(\frac{253}{486}\right),e\left(\frac{7}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 18225 }(434, a) \)	\(-1\)	\(1\)	\(e\left(\frac{268}{1215}\right)\)	\(e\left(\frac{536}{1215}\right)\)	\(e\left(\frac{295}{486}\right)\)	\(e\left(\frac{268}{405}\right)\)	\(e\left(\frac{1271}{2430}\right)\)	\(e\left(\frac{319}{2430}\right)\)	\(e\left(\frac{2011}{2430}\right)\)	\(e\left(\frac{1072}{1215}\right)\)	\(e\left(\frac{113}{405}\right)\)	\(e\left(\frac{58}{405}\right)\)