Dirichlet character \(\chi_{5245}(1089,\cdot)\)

• Label: 5245.1089
• Modulus: $5245$
• Conductor: $5245$
• Order: $524$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5245\)
Conductor:	\(5245\)
Order:	\(524\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5245.x

\(\chi_{5245}(9,\cdot)\) \(\chi_{5245}(44,\cdot)\) \(\chi_{5245}(49,\cdot)\) \(\chi_{5245}(59,\cdot)\) \(\chi_{5245}(79,\cdot)\) \(\chi_{5245}(144,\cdot)\) \(\chi_{5245}(149,\cdot)\) \(\chi_{5245}(189,\cdot)\) \(\chi_{5245}(204,\cdot)\) \(\chi_{5245}(209,\cdot)\) \(\chi_{5245}(214,\cdot)\) \(\chi_{5245}(234,\cdot)\) \(\chi_{5245}(239,\cdot)\) \(\chi_{5245}(289,\cdot)\) \(\chi_{5245}(319,\cdot)\) \(\chi_{5245}(359,\cdot)\) \(\chi_{5245}(394,\cdot)\) \(\chi_{5245}(409,\cdot)\) \(\chi_{5245}(439,\cdot)\) \(\chi_{5245}(444,\cdot)\) \(\chi_{5245}(454,\cdot)\) \(\chi_{5245}(469,\cdot)\) \(\chi_{5245}(499,\cdot)\) \(\chi_{5245}(519,\cdot)\) \(\chi_{5245}(529,\cdot)\) \(\chi_{5245}(549,\cdot)\) \(\chi_{5245}(554,\cdot)\) \(\chi_{5245}(564,\cdot)\) \(\chi_{5245}(599,\cdot)\) \(\chi_{5245}(619,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{524})$
Fixed field:	Number field defined by a degree 524 polynomial (not computed)

Values on generators

\((4197,2101)\) → \((-1,e\left(\frac{419}{524}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 5245 }(1089, a) \)	\(1\)	\(1\)	\(e\left(\frac{19}{262}\right)\)	\(e\left(\frac{157}{524}\right)\)	\(e\left(\frac{19}{131}\right)\)	\(e\left(\frac{195}{524}\right)\)	\(e\left(\frac{211}{524}\right)\)	\(e\left(\frac{57}{262}\right)\)	\(e\left(\frac{157}{262}\right)\)	\(e\left(\frac{63}{262}\right)\)	\(e\left(\frac{233}{524}\right)\)	\(e\left(\frac{117}{262}\right)\)