Dirichlet character \(\chi_{38025}(59,\cdot)\)

• Label: 38025.59
• Modulus: $38025$
• Conductor: $38025$
• Order: $780$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(38025\)
Conductor:	\(38025\)
Order:	\(780\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 38025.ob

\(\chi_{38025}(59,\cdot)\) \(\chi_{38025}(119,\cdot)\) \(\chi_{38025}(479,\cdot)\) \(\chi_{38025}(644,\cdot)\) \(\chi_{38025}(704,\cdot)\) \(\chi_{38025}(734,\cdot)\) \(\chi_{38025}(1064,\cdot)\) \(\chi_{38025}(1229,\cdot)\) \(\chi_{38025}(1289,\cdot)\) \(\chi_{38025}(1319,\cdot)\) \(\chi_{38025}(1814,\cdot)\) \(\chi_{38025}(1904,\cdot)\) \(\chi_{38025}(2234,\cdot)\) \(\chi_{38025}(2459,\cdot)\) \(\chi_{38025}(2489,\cdot)\) \(\chi_{38025}(2819,\cdot)\) \(\chi_{38025}(2984,\cdot)\) \(\chi_{38025}(3044,\cdot)\) \(\chi_{38025}(3404,\cdot)\) \(\chi_{38025}(3569,\cdot)\) \(\chi_{38025}(3659,\cdot)\) \(\chi_{38025}(3989,\cdot)\) \(\chi_{38025}(4154,\cdot)\) \(\chi_{38025}(4214,\cdot)\) \(\chi_{38025}(4739,\cdot)\) \(\chi_{38025}(4829,\cdot)\) \(\chi_{38025}(5384,\cdot)\) \(\chi_{38025}(5414,\cdot)\) \(\chi_{38025}(5744,\cdot)\) \(\chi_{38025}(5909,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{780})$
Fixed field:	Number field defined by a degree 780 polynomial (not computed)

Values on generators

\((29576,9127,37351)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{7}{10}\right),e\left(\frac{35}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(14\)	\(16\)	\(17\)	\(19\)	\(22\)
\( \chi_{ 38025 }(59, a) \)	\(1\)	\(1\)	\(e\left(\frac{197}{260}\right)\)	\(e\left(\frac{67}{130}\right)\)	\(e\left(\frac{131}{156}\right)\)	\(e\left(\frac{71}{260}\right)\)	\(e\left(\frac{37}{260}\right)\)	\(e\left(\frac{233}{390}\right)\)	\(e\left(\frac{2}{65}\right)\)	\(e\left(\frac{139}{390}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{9}{10}\right)\)