Dirichlet character \(\chi_{2700}(763,\cdot)\)

• Label: 2700.763
• Modulus: $2700$
• Conductor: $2700$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2700\)
Conductor:	\(2700\)
Order:	\(180\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2700.cs

\(\chi_{2700}(67,\cdot)\) \(\chi_{2700}(103,\cdot)\) \(\chi_{2700}(187,\cdot)\) \(\chi_{2700}(223,\cdot)\) \(\chi_{2700}(247,\cdot)\) \(\chi_{2700}(283,\cdot)\) \(\chi_{2700}(367,\cdot)\) \(\chi_{2700}(403,\cdot)\) \(\chi_{2700}(427,\cdot)\) \(\chi_{2700}(463,\cdot)\) \(\chi_{2700}(547,\cdot)\) \(\chi_{2700}(583,\cdot)\) \(\chi_{2700}(727,\cdot)\) \(\chi_{2700}(763,\cdot)\) \(\chi_{2700}(787,\cdot)\) \(\chi_{2700}(823,\cdot)\) \(\chi_{2700}(967,\cdot)\) \(\chi_{2700}(1003,\cdot)\) \(\chi_{2700}(1087,\cdot)\) \(\chi_{2700}(1123,\cdot)\) \(\chi_{2700}(1147,\cdot)\) \(\chi_{2700}(1183,\cdot)\) \(\chi_{2700}(1267,\cdot)\) \(\chi_{2700}(1303,\cdot)\) \(\chi_{2700}(1327,\cdot)\) \(\chi_{2700}(1363,\cdot)\) \(\chi_{2700}(1447,\cdot)\) \(\chi_{2700}(1483,\cdot)\) \(\chi_{2700}(1627,\cdot)\) \(\chi_{2700}(1663,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

\((1351,1001,2377)\) → \((-1,e\left(\frac{8}{9}\right),e\left(\frac{19}{20}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\( \chi_{ 2700 }(763, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{36}\right)\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{29}{180}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{131}{180}\right)\)	\(e\left(\frac{71}{90}\right)\)	\(e\left(\frac{79}{90}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{41}{45}\right)\)