Dirichlet character \(\chi_{2900}(1519,\cdot)\)

• Label: 2900.1519
• Modulus: $2900$
• Conductor: $2900$
• Order: $140$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2900\)
Conductor:	\(2900\)
Order:	\(140\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2900.ct

\(\chi_{2900}(19,\cdot)\) \(\chi_{2900}(39,\cdot)\) \(\chi_{2900}(79,\cdot)\) \(\chi_{2900}(119,\cdot)\) \(\chi_{2900}(159,\cdot)\) \(\chi_{2900}(259,\cdot)\) \(\chi_{2900}(279,\cdot)\) \(\chi_{2900}(359,\cdot)\) \(\chi_{2900}(379,\cdot)\) \(\chi_{2900}(479,\cdot)\) \(\chi_{2900}(519,\cdot)\) \(\chi_{2900}(559,\cdot)\) \(\chi_{2900}(619,\cdot)\) \(\chi_{2900}(659,\cdot)\) \(\chi_{2900}(739,\cdot)\) \(\chi_{2900}(839,\cdot)\) \(\chi_{2900}(859,\cdot)\) \(\chi_{2900}(939,\cdot)\) \(\chi_{2900}(959,\cdot)\) \(\chi_{2900}(1059,\cdot)\) \(\chi_{2900}(1139,\cdot)\) \(\chi_{2900}(1179,\cdot)\) \(\chi_{2900}(1239,\cdot)\) \(\chi_{2900}(1279,\cdot)\) \(\chi_{2900}(1319,\cdot)\) \(\chi_{2900}(1419,\cdot)\) \(\chi_{2900}(1439,\cdot)\) \(\chi_{2900}(1519,\cdot)\) \(\chi_{2900}(1539,\cdot)\) \(\chi_{2900}(1639,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{140})$
Fixed field:	Number field defined by a degree 140 polynomial (not computed)

Values on generators

\((1451,1277,901)\) → \((-1,e\left(\frac{9}{10}\right),e\left(\frac{25}{28}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\( \chi_{ 2900 }(1519, a) \)	\(1\)	\(1\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{31}{140}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{137}{140}\right)\)	\(e\left(\frac{9}{35}\right)\)	\(e\left(\frac{111}{140}\right)\)