Dirichlet character \(\chi_{24200}(4331,\cdot)\)

• Label: 24200.4331
• Modulus: $24200$
• Conductor: $24200$
• Order: $110$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(24200\)
Conductor:	\(24200\)
Order:	\(110\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 24200.ja

\(\chi_{24200}(211,\cdot)\) \(\chi_{24200}(1491,\cdot)\) \(\chi_{24200}(2131,\cdot)\) \(\chi_{24200}(3571,\cdot)\) \(\chi_{24200}(3691,\cdot)\) \(\chi_{24200}(4331,\cdot)\) \(\chi_{24200}(4611,\cdot)\) \(\chi_{24200}(5771,\cdot)\) \(\chi_{24200}(5891,\cdot)\) \(\chi_{24200}(6811,\cdot)\) \(\chi_{24200}(7971,\cdot)\) \(\chi_{24200}(8091,\cdot)\) \(\chi_{24200}(8731,\cdot)\) \(\chi_{24200}(9011,\cdot)\) \(\chi_{24200}(10171,\cdot)\) \(\chi_{24200}(10291,\cdot)\) \(\chi_{24200}(10931,\cdot)\) \(\chi_{24200}(11211,\cdot)\) \(\chi_{24200}(12371,\cdot)\) \(\chi_{24200}(12491,\cdot)\) \(\chi_{24200}(13131,\cdot)\) \(\chi_{24200}(13411,\cdot)\) \(\chi_{24200}(14571,\cdot)\) \(\chi_{24200}(14691,\cdot)\) \(\chi_{24200}(15331,\cdot)\) \(\chi_{24200}(15611,\cdot)\) \(\chi_{24200}(16771,\cdot)\) \(\chi_{24200}(16891,\cdot)\) \(\chi_{24200}(17531,\cdot)\) \(\chi_{24200}(17811,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

Values on generators

\((18151,12101,6777,14401)\) → \((-1,-1,e\left(\frac{2}{5}\right),e\left(\frac{93}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)	\(29\)
\( \chi_{ 24200 }(4331, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{37}{55}\right)\)