Dirichlet character \(\chi_{28665}(15178,\cdot)\)

• Label: 28665.15178
• 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.bqj

\(\chi_{28665}(877,\cdot)\) \(\chi_{28665}(2797,\cdot)\) \(\chi_{28665}(2893,\cdot)\) \(\chi_{28665}(2923,\cdot)\) \(\chi_{28665}(4972,\cdot)\) \(\chi_{28665}(6892,\cdot)\) \(\chi_{28665}(7018,\cdot)\) \(\chi_{28665}(9067,\cdot)\) \(\chi_{28665}(10987,\cdot)\) \(\chi_{28665}(11083,\cdot)\) \(\chi_{28665}(11113,\cdot)\) \(\chi_{28665}(15082,\cdot)\) \(\chi_{28665}(15178,\cdot)\) \(\chi_{28665}(17257,\cdot)\) \(\chi_{28665}(19273,\cdot)\) \(\chi_{28665}(19303,\cdot)\) \(\chi_{28665}(21352,\cdot)\) \(\chi_{28665}(23272,\cdot)\) \(\chi_{28665}(23368,\cdot)\) \(\chi_{28665}(23398,\cdot)\) \(\chi_{28665}(25447,\cdot)\) \(\chi_{28665}(27367,\cdot)\) \(\chi_{28665}(27463,\cdot)\) \(\chi_{28665}(27493,\cdot)\)

Related number fields

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

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{1}{3}\right),-i,e\left(\frac{16}{21}\right),e\left(\frac{11}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(15178, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(-i\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{3}{14}\right)\)