Dirichlet character \(\chi_{373527}(1318,\cdot)\)

• Label: 373527.1318
• 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

\((290522,286408,126568)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{25}{147}\right),e\left(\frac{23}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 373527 }(1318, a) \)	\(1\)	\(1\)	\(e\left(\frac{2007}{2695}\right)\)	\(e\left(\frac{1319}{2695}\right)\)	\(e\left(\frac{4399}{8085}\right)\)	\(e\left(\frac{631}{2695}\right)\)	\(e\left(\frac{467}{1617}\right)\)	\(e\left(\frac{3011}{8085}\right)\)	\(e\left(\frac{2638}{2695}\right)\)	\(e\left(\frac{6004}{8085}\right)\)	\(e\left(\frac{62}{165}\right)\)	\(e\left(\frac{271}{8085}\right)\)