Dirichlet character \(\chi_{50423}(49,\cdot)\)

• Label: 50423.49
• Modulus: $50423$
• Conductor: $50423$
• Order: $25211$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(50423\)
Conductor:	\(50423\)
Order:	\(25211\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 50423.g

\(\chi_{50423}(2,\cdot)\) \(\chi_{50423}(3,\cdot)\) \(\chi_{50423}(4,\cdot)\) \(\chi_{50423}(6,\cdot)\) \(\chi_{50423}(8,\cdot)\) \(\chi_{50423}(9,\cdot)\) \(\chi_{50423}(11,\cdot)\) \(\chi_{50423}(12,\cdot)\) \(\chi_{50423}(13,\cdot)\) \(\chi_{50423}(16,\cdot)\) \(\chi_{50423}(17,\cdot)\) \(\chi_{50423}(18,\cdot)\) \(\chi_{50423}(22,\cdot)\) \(\chi_{50423}(23,\cdot)\) \(\chi_{50423}(24,\cdot)\) \(\chi_{50423}(25,\cdot)\) \(\chi_{50423}(26,\cdot)\) \(\chi_{50423}(27,\cdot)\) \(\chi_{50423}(31,\cdot)\) \(\chi_{50423}(32,\cdot)\) \(\chi_{50423}(33,\cdot)\) \(\chi_{50423}(34,\cdot)\) \(\chi_{50423}(35,\cdot)\) \(\chi_{50423}(36,\cdot)\) \(\chi_{50423}(39,\cdot)\) \(\chi_{50423}(43,\cdot)\) \(\chi_{50423}(44,\cdot)\) \(\chi_{50423}(46,\cdot)\) \(\chi_{50423}(47,\cdot)\) \(\chi_{50423}(48,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{25211})$
Fixed field:	Number field defined by a degree 25211 polynomial (not computed)

Values on generators

\(5\) → \(e\left(\frac{21459}{25211}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 50423 }(49, a) \)	\(1\)	\(1\)	\(e\left(\frac{4941}{25211}\right)\)	\(e\left(\frac{6533}{25211}\right)\)	\(e\left(\frac{9882}{25211}\right)\)	\(e\left(\frac{21459}{25211}\right)\)	\(e\left(\frac{11474}{25211}\right)\)	\(e\left(\frac{9766}{25211}\right)\)	\(e\left(\frac{14823}{25211}\right)\)	\(e\left(\frac{13066}{25211}\right)\)	\(e\left(\frac{1189}{25211}\right)\)	\(e\left(\frac{20254}{25211}\right)\)