Dirichlet character \(\chi_{2527}(395,\cdot)\)

• Label: 2527.395
• Modulus: $2527$
• Conductor: $2527$
• Order: $342$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2527\)
Conductor:	\(2527\)
Order:	\(342\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2527.cd

\(\chi_{2527}(10,\cdot)\) \(\chi_{2527}(33,\cdot)\) \(\chi_{2527}(40,\cdot)\) \(\chi_{2527}(108,\cdot)\) \(\chi_{2527}(117,\cdot)\) \(\chi_{2527}(129,\cdot)\) \(\chi_{2527}(143,\cdot)\) \(\chi_{2527}(166,\cdot)\) \(\chi_{2527}(173,\cdot)\) \(\chi_{2527}(241,\cdot)\) \(\chi_{2527}(250,\cdot)\) \(\chi_{2527}(276,\cdot)\) \(\chi_{2527}(306,\cdot)\) \(\chi_{2527}(374,\cdot)\) \(\chi_{2527}(383,\cdot)\) \(\chi_{2527}(395,\cdot)\) \(\chi_{2527}(409,\cdot)\) \(\chi_{2527}(432,\cdot)\) \(\chi_{2527}(439,\cdot)\) \(\chi_{2527}(507,\cdot)\) \(\chi_{2527}(516,\cdot)\) \(\chi_{2527}(528,\cdot)\) \(\chi_{2527}(542,\cdot)\) \(\chi_{2527}(565,\cdot)\) \(\chi_{2527}(572,\cdot)\) \(\chi_{2527}(640,\cdot)\) \(\chi_{2527}(649,\cdot)\) \(\chi_{2527}(661,\cdot)\) \(\chi_{2527}(675,\cdot)\) \(\chi_{2527}(698,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{171})$
Fixed field:	Number field defined by a degree 342 polynomial (not computed)

Values on generators

\((1445,1807)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{227}{342}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 2527 }(395, a) \)	\(1\)	\(1\)	\(e\left(\frac{341}{342}\right)\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{170}{171}\right)\)	\(e\left(\frac{281}{342}\right)\)	\(e\left(\frac{145}{342}\right)\)	\(e\left(\frac{113}{114}\right)\)	\(e\left(\frac{146}{171}\right)\)	\(e\left(\frac{140}{171}\right)\)	\(e\left(\frac{7}{19}\right)\)	\(e\left(\frac{8}{19}\right)\)