Dirichlet character \(\chi_{373527}(25,\cdot)\)

• Label: 373527.25
• Modulus: $373527$
• Conductor: $373527$
• Order: $8085$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(373527\)
Conductor:	\(373527\)
Order:	\(8085\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 373527.rg

\(\chi_{373527}(25,\cdot)\) \(\chi_{373527}(58,\cdot)\) \(\chi_{373527}(247,\cdot)\) \(\chi_{373527}(466,\cdot)\) \(\chi_{373527}(499,\cdot)\) \(\chi_{373527}(592,\cdot)\) \(\chi_{373527}(625,\cdot)\) \(\chi_{373527}(718,\cdot)\) \(\chi_{373527}(751,\cdot)\) \(\chi_{373527}(907,\cdot)\) \(\chi_{373527}(940,\cdot)\) \(\chi_{373527}(1159,\cdot)\) \(\chi_{373527}(1192,\cdot)\) \(\chi_{373527}(1285,\cdot)\) \(\chi_{373527}(1318,\cdot)\) \(\chi_{373527}(1411,\cdot)\) \(\chi_{373527}(1444,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{8085})$
Fixed field:	Number field defined by a degree 8085 polynomial (not computed)

Values on generators

\((290522,286408,126568)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{29}{147}\right),e\left(\frac{19}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 373527 }(25, a) \)	\(1\)	\(1\)	\(e\left(\frac{766}{2695}\right)\)	\(e\left(\frac{1532}{2695}\right)\)	\(e\left(\frac{4997}{8085}\right)\)	\(e\left(\frac{2298}{2695}\right)\)	\(e\left(\frac{1459}{1617}\right)\)	\(e\left(\frac{3628}{8085}\right)\)	\(e\left(\frac{369}{2695}\right)\)	\(e\left(\frac{6947}{8085}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{1508}{8085}\right)\)