Dirichlet character \(\chi_{28665}(28498,\cdot)\)

• Label: 28665.28498
• 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.bgi

\(\chi_{28665}(1597,\cdot)\) \(\chi_{28665}(3928,\cdot)\) \(\chi_{28665}(5272,\cdot)\) \(\chi_{28665}(5692,\cdot)\) \(\chi_{28665}(5713,\cdot)\) \(\chi_{28665}(8023,\cdot)\) \(\chi_{28665}(9367,\cdot)\) \(\chi_{28665}(9787,\cdot)\) \(\chi_{28665}(9808,\cdot)\) \(\chi_{28665}(12118,\cdot)\) \(\chi_{28665}(13462,\cdot)\) \(\chi_{28665}(13882,\cdot)\) \(\chi_{28665}(13903,\cdot)\) \(\chi_{28665}(16213,\cdot)\) \(\chi_{28665}(17557,\cdot)\) \(\chi_{28665}(17977,\cdot)\) \(\chi_{28665}(17998,\cdot)\) \(\chi_{28665}(20308,\cdot)\) \(\chi_{28665}(21652,\cdot)\) \(\chi_{28665}(22072,\cdot)\) \(\chi_{28665}(22093,\cdot)\) \(\chi_{28665}(25747,\cdot)\) \(\chi_{28665}(26188,\cdot)\) \(\chi_{28665}(28498,\cdot)\)

Related number fields

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

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{1}{3}\right),-i,e\left(\frac{3}{7}\right),e\left(\frac{1}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(28498, a) \)	\(1\)	\(1\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{31}{84}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{37}{42}\right)\)