Dirichlet character \(\chi_{4235}(4219,\cdot)\)

• Label: 4235.4219
• Modulus: $4235$
• Conductor: $4235$
• Order: $330$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4235\)
Conductor:	\(4235\)
Order:	\(330\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4235.dj

\(\chi_{4235}(19,\cdot)\) \(\chi_{4235}(24,\cdot)\) \(\chi_{4235}(129,\cdot)\) \(\chi_{4235}(194,\cdot)\) \(\chi_{4235}(299,\cdot)\) \(\chi_{4235}(304,\cdot)\) \(\chi_{4235}(369,\cdot)\) \(\chi_{4235}(404,\cdot)\) \(\chi_{4235}(409,\cdot)\) \(\chi_{4235}(479,\cdot)\) \(\chi_{4235}(514,\cdot)\) \(\chi_{4235}(579,\cdot)\) \(\chi_{4235}(684,\cdot)\) \(\chi_{4235}(689,\cdot)\) \(\chi_{4235}(754,\cdot)\) \(\chi_{4235}(789,\cdot)\) \(\chi_{4235}(794,\cdot)\) \(\chi_{4235}(864,\cdot)\) \(\chi_{4235}(899,\cdot)\) \(\chi_{4235}(964,\cdot)\) \(\chi_{4235}(1069,\cdot)\) \(\chi_{4235}(1074,\cdot)\) \(\chi_{4235}(1139,\cdot)\) \(\chi_{4235}(1174,\cdot)\) \(\chi_{4235}(1179,\cdot)\) \(\chi_{4235}(1249,\cdot)\) \(\chi_{4235}(1284,\cdot)\) \(\chi_{4235}(1349,\cdot)\) \(\chi_{4235}(1454,\cdot)\) \(\chi_{4235}(1459,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

\((2542,1816,2906)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{59}{110}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(12\)	\(13\)	\(16\)	\(17\)
\( \chi_{ 4235 }(4219, a) \)	\(1\)	\(1\)	\(e\left(\frac{116}{165}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{203}{330}\right)\)