Dirichlet character \(\chi_{8925}(7172,\cdot)\)

• Label: 8925.7172
• Modulus: $8925$
• Conductor: $8925$
• Order: $120$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(8925\)
Conductor:	\(8925\)
Order:	\(120\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 8925.kj

\(\chi_{8925}(2,\cdot)\) \(\chi_{8925}(128,\cdot)\) \(\chi_{8925}(263,\cdot)\) \(\chi_{8925}(767,\cdot)\) \(\chi_{8925}(1052,\cdot)\) \(\chi_{8925}(1283,\cdot)\) \(\chi_{8925}(1787,\cdot)\) \(\chi_{8925}(1817,\cdot)\) \(\chi_{8925}(1913,\cdot)\) \(\chi_{8925}(2048,\cdot)\) \(\chi_{8925}(2552,\cdot)\) \(\chi_{8925}(2678,\cdot)\) \(\chi_{8925}(2837,\cdot)\) \(\chi_{8925}(3572,\cdot)\) \(\chi_{8925}(3602,\cdot)\) \(\chi_{8925}(3698,\cdot)\) \(\chi_{8925}(3833,\cdot)\) \(\chi_{8925}(4337,\cdot)\) \(\chi_{8925}(4463,\cdot)\) \(\chi_{8925}(4622,\cdot)\) \(\chi_{8925}(4853,\cdot)\) \(\chi_{8925}(5387,\cdot)\) \(\chi_{8925}(5483,\cdot)\) \(\chi_{8925}(6122,\cdot)\) \(\chi_{8925}(6248,\cdot)\) \(\chi_{8925}(6638,\cdot)\) \(\chi_{8925}(7142,\cdot)\) \(\chi_{8925}(7172,\cdot)\) \(\chi_{8925}(7403,\cdot)\) \(\chi_{8925}(8033,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{120})$
Fixed field:	Number field defined by a degree 120 polynomial (not computed)

Values on generators

\((5951,6427,2551,8401)\) → \((-1,e\left(\frac{17}{20}\right),e\left(\frac{2}{3}\right),e\left(\frac{3}{8}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(19\)	\(22\)	\(23\)	\(26\)
\( \chi_{ 8925 }(7172, a) \)	\(1\)	\(1\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{97}{120}\right)\)	\(e\left(\frac{7}{12}\right)\)