Dirichlet character \(\chi_{2527}(989,\cdot)\)

• Label: 2527.989
• Modulus: $2527$
• Conductor: $2527$
• Order: $57$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2527\)
Conductor:	\(2527\)
Order:	\(57\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2527.bm

\(\chi_{2527}(39,\cdot)\) \(\chi_{2527}(58,\cdot)\) \(\chi_{2527}(172,\cdot)\) \(\chi_{2527}(191,\cdot)\) \(\chi_{2527}(305,\cdot)\) \(\chi_{2527}(324,\cdot)\) \(\chi_{2527}(438,\cdot)\) \(\chi_{2527}(457,\cdot)\) \(\chi_{2527}(571,\cdot)\) \(\chi_{2527}(590,\cdot)\) \(\chi_{2527}(704,\cdot)\) \(\chi_{2527}(837,\cdot)\) \(\chi_{2527}(856,\cdot)\) \(\chi_{2527}(970,\cdot)\) \(\chi_{2527}(989,\cdot)\) \(\chi_{2527}(1103,\cdot)\) \(\chi_{2527}(1122,\cdot)\) \(\chi_{2527}(1236,\cdot)\) \(\chi_{2527}(1255,\cdot)\) \(\chi_{2527}(1369,\cdot)\) \(\chi_{2527}(1388,\cdot)\) \(\chi_{2527}(1502,\cdot)\) \(\chi_{2527}(1521,\cdot)\) \(\chi_{2527}(1635,\cdot)\) \(\chi_{2527}(1654,\cdot)\) \(\chi_{2527}(1768,\cdot)\) \(\chi_{2527}(1787,\cdot)\) \(\chi_{2527}(1901,\cdot)\) \(\chi_{2527}(1920,\cdot)\) \(\chi_{2527}(2034,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{57})$
Fixed field:	Number field defined by a degree 57 polynomial

Values on generators

\((1445,1807)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{11}{19}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 2527 }(989, a) \)	\(1\)	\(1\)	\(e\left(\frac{14}{57}\right)\)	\(e\left(\frac{46}{57}\right)\)	\(e\left(\frac{28}{57}\right)\)	\(e\left(\frac{56}{57}\right)\)	\(e\left(\frac{1}{19}\right)\)	\(e\left(\frac{14}{19}\right)\)	\(e\left(\frac{35}{57}\right)\)	\(e\left(\frac{13}{57}\right)\)	\(e\left(\frac{22}{57}\right)\)	\(e\left(\frac{17}{57}\right)\)