Dirichlet character \(\chi_{373527}(1229,\cdot)\)

• Label: 373527.1229
• Modulus: $373527$
• Conductor: $373527$
• Order: $16170$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(373527\)
Conductor:	\(373527\)
Order:	\(16170\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 373527.sf

\(\chi_{373527}(2,\cdot)\) \(\chi_{373527}(95,\cdot)\) \(\chi_{373527}(347,\cdot)\) \(\chi_{373527}(380,\cdot)\) \(\chi_{373527}(536,\cdot)\) \(\chi_{373527}(662,\cdot)\) \(\chi_{373527}(695,\cdot)\) \(\chi_{373527}(788,\cdot)\) \(\chi_{373527}(821,\cdot)\) \(\chi_{373527}(1040,\cdot)\) \(\chi_{373527}(1073,\cdot)\) \(\chi_{373527}(1229,\cdot)\) \(\chi_{373527}(1262,\cdot)\) \(\chi_{373527}(1355,\cdot)\) \(\chi_{373527}(1388,\cdot)\) \(\chi_{373527}(1481,\cdot)\) \(\chi_{373527}(1514,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{8085})$
Fixed field:	Number field defined by a degree 16170 polynomial (not computed)

Values on generators

\((290522,286408,126568)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{26}{147}\right),e\left(\frac{83}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 373527 }(1229, a) \)	\(1\)	\(1\)	\(e\left(\frac{7283}{8085}\right)\)	\(e\left(\frac{6481}{8085}\right)\)	\(e\left(\frac{713}{5390}\right)\)	\(e\left(\frac{1893}{2695}\right)\)	\(e\left(\frac{107}{3234}\right)\)	\(e\left(\frac{4591}{16170}\right)\)	\(e\left(\frac{4877}{8085}\right)\)	\(e\left(\frac{7232}{8085}\right)\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{15101}{16170}\right)\)