Dirichlet character \(\chi_{2900}(1171,\cdot)\)

• Label: 2900.1171
• 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.cy

\(\chi_{2900}(11,\cdot)\) \(\chi_{2900}(31,\cdot)\) \(\chi_{2900}(131,\cdot)\) \(\chi_{2900}(171,\cdot)\) \(\chi_{2900}(211,\cdot)\) \(\chi_{2900}(271,\cdot)\) \(\chi_{2900}(311,\cdot)\) \(\chi_{2900}(391,\cdot)\) \(\chi_{2900}(491,\cdot)\) \(\chi_{2900}(511,\cdot)\) \(\chi_{2900}(591,\cdot)\) \(\chi_{2900}(611,\cdot)\) \(\chi_{2900}(711,\cdot)\) \(\chi_{2900}(791,\cdot)\) \(\chi_{2900}(831,\cdot)\) \(\chi_{2900}(891,\cdot)\) \(\chi_{2900}(931,\cdot)\) \(\chi_{2900}(971,\cdot)\) \(\chi_{2900}(1071,\cdot)\) \(\chi_{2900}(1091,\cdot)\) \(\chi_{2900}(1171,\cdot)\) \(\chi_{2900}(1191,\cdot)\) \(\chi_{2900}(1291,\cdot)\) \(\chi_{2900}(1331,\cdot)\) \(\chi_{2900}(1371,\cdot)\) \(\chi_{2900}(1411,\cdot)\) \(\chi_{2900}(1431,\cdot)\) \(\chi_{2900}(1471,\cdot)\) \(\chi_{2900}(1511,\cdot)\) \(\chi_{2900}(1671,\cdot)\) ...

Related number fields

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

Values on generators

\((1451,1277,901)\) → \((-1,e\left(\frac{3}{5}\right),e\left(\frac{25}{28}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\( \chi_{ 2900 }(1171, a) \)	\(1\)	\(1\)	\(e\left(\frac{23}{140}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{23}{70}\right)\)	\(e\left(\frac{59}{140}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{53}{140}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{69}{140}\right)\)