Dirichlet character \(\chi_{18225}(4,\cdot)\)

• Label: 18225.4
• Modulus: $18225$
• Conductor: $18225$
• Order: $2430$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 18225.cp

\(\chi_{18225}(4,\cdot)\) \(\chi_{18225}(34,\cdot)\) \(\chi_{18225}(79,\cdot)\) \(\chi_{18225}(94,\cdot)\) \(\chi_{18225}(139,\cdot)\) \(\chi_{18225}(169,\cdot)\) \(\chi_{18225}(184,\cdot)\) \(\chi_{18225}(214,\cdot)\) \(\chi_{18225}(229,\cdot)\) \(\chi_{18225}(259,\cdot)\) \(\chi_{18225}(304,\cdot)\) \(\chi_{18225}(319,\cdot)\) \(\chi_{18225}(364,\cdot)\) \(\chi_{18225}(394,\cdot)\) \(\chi_{18225}(409,\cdot)\) \(\chi_{18225}(439,\cdot)\) \(\chi_{18225}(454,\cdot)\) \(\chi_{18225}(484,\cdot)\) \(\chi_{18225}(529,\cdot)\) \(\chi_{18225}(544,\cdot)\) \(\chi_{18225}(589,\cdot)\) \(\chi_{18225}(619,\cdot)\) \(\chi_{18225}(634,\cdot)\) \(\chi_{18225}(664,\cdot)\) \(\chi_{18225}(679,\cdot)\) \(\chi_{18225}(709,\cdot)\) \(\chi_{18225}(754,\cdot)\) \(\chi_{18225}(769,\cdot)\) \(\chi_{18225}(814,\cdot)\) \(\chi_{18225}(844,\cdot)\) ...

Related number fields

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

Values on generators

\((4376,13852)\) → \((e\left(\frac{1}{243}\right),e\left(\frac{1}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 18225 }(4, a) \)	\(1\)	\(1\)	\(e\left(\frac{253}{2430}\right)\)	\(e\left(\frac{253}{1215}\right)\)	\(e\left(\frac{59}{486}\right)\)	\(e\left(\frac{253}{810}\right)\)	\(e\left(\frac{929}{1215}\right)\)	\(e\left(\frac{647}{2430}\right)\)	\(e\left(\frac{274}{1215}\right)\)	\(e\left(\frac{506}{1215}\right)\)	\(e\left(\frac{353}{810}\right)\)	\(e\left(\frac{44}{405}\right)\)