Dirichlet character \(\chi_{2900}(923,\cdot)\)

• Label: 2900.923
• 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.cv

\(\chi_{2900}(23,\cdot)\) \(\chi_{2900}(83,\cdot)\) \(\chi_{2900}(103,\cdot)\) \(\chi_{2900}(123,\cdot)\) \(\chi_{2900}(223,\cdot)\) \(\chi_{2900}(227,\cdot)\) \(\chi_{2900}(487,\cdot)\) \(\chi_{2900}(547,\cdot)\) \(\chi_{2900}(567,\cdot)\) \(\chi_{2900}(587,\cdot)\) \(\chi_{2900}(603,\cdot)\) \(\chi_{2900}(663,\cdot)\) \(\chi_{2900}(683,\cdot)\) \(\chi_{2900}(687,\cdot)\) \(\chi_{2900}(703,\cdot)\) \(\chi_{2900}(803,\cdot)\) \(\chi_{2900}(923,\cdot)\) \(\chi_{2900}(1067,\cdot)\) \(\chi_{2900}(1127,\cdot)\) \(\chi_{2900}(1147,\cdot)\) \(\chi_{2900}(1167,\cdot)\) \(\chi_{2900}(1183,\cdot)\) \(\chi_{2900}(1263,\cdot)\) \(\chi_{2900}(1267,\cdot)\) \(\chi_{2900}(1283,\cdot)\) \(\chi_{2900}(1383,\cdot)\) \(\chi_{2900}(1387,\cdot)\) \(\chi_{2900}(1503,\cdot)\) \(\chi_{2900}(1647,\cdot)\) \(\chi_{2900}(1727,\cdot)\) ...

Related number fields

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

Values on generators

\((1451,1277,901)\) → \((-1,e\left(\frac{11}{20}\right),e\left(\frac{2}{7}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\( \chi_{ 2900 }(923, a) \)	\(1\)	\(1\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{34}{35}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{47}{140}\right)\)