Dirichlet character \(\chi_{28665}(21733,\cdot)\)

• Label: 28665.21733
• Modulus: $28665$
• Conductor: $28665$
• Order: $84$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(28665\)
Conductor:	\(28665\)
Order:	\(84\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 28665.big

\(\chi_{28665}(1258,\cdot)\) \(\chi_{28665}(3748,\cdot)\) \(\chi_{28665}(4567,\cdot)\) \(\chi_{28665}(5353,\cdot)\) \(\chi_{28665}(6172,\cdot)\) \(\chi_{28665}(7843,\cdot)\) \(\chi_{28665}(8662,\cdot)\) \(\chi_{28665}(9448,\cdot)\) \(\chi_{28665}(10267,\cdot)\) \(\chi_{28665}(12757,\cdot)\) \(\chi_{28665}(14362,\cdot)\) \(\chi_{28665}(16033,\cdot)\) \(\chi_{28665}(16852,\cdot)\) \(\chi_{28665}(17638,\cdot)\) \(\chi_{28665}(18457,\cdot)\) \(\chi_{28665}(20128,\cdot)\) \(\chi_{28665}(20947,\cdot)\) \(\chi_{28665}(21733,\cdot)\) \(\chi_{28665}(22552,\cdot)\) \(\chi_{28665}(24223,\cdot)\) \(\chi_{28665}(25042,\cdot)\) \(\chi_{28665}(25828,\cdot)\) \(\chi_{28665}(26647,\cdot)\) \(\chi_{28665}(28318,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{84})$
Fixed field:	Number field defined by a degree 84 polynomial

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{2}{3}\right),-i,e\left(\frac{17}{42}\right),e\left(\frac{5}{6}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(21733, a) \)	\(1\)	\(1\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{11}{14}\right)\)