Dirichlet character \(\chi_{28665}(19888,\cdot)\)

• Label: 28665.19888
• 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.bfq

\(\chi_{28665}(1723,\cdot)\) \(\chi_{28665}(3508,\cdot)\) \(\chi_{28665}(3802,\cdot)\) \(\chi_{28665}(5818,\cdot)\) \(\chi_{28665}(7477,\cdot)\) \(\chi_{28665}(7603,\cdot)\) \(\chi_{28665}(7897,\cdot)\) \(\chi_{28665}(9913,\cdot)\) \(\chi_{28665}(11572,\cdot)\) \(\chi_{28665}(11698,\cdot)\) \(\chi_{28665}(11992,\cdot)\) \(\chi_{28665}(14008,\cdot)\) \(\chi_{28665}(15667,\cdot)\) \(\chi_{28665}(15793,\cdot)\) \(\chi_{28665}(16087,\cdot)\) \(\chi_{28665}(18103,\cdot)\) \(\chi_{28665}(19762,\cdot)\) \(\chi_{28665}(19888,\cdot)\) \(\chi_{28665}(20182,\cdot)\) \(\chi_{28665}(23857,\cdot)\) \(\chi_{28665}(23983,\cdot)\) \(\chi_{28665}(24277,\cdot)\) \(\chi_{28665}(26293,\cdot)\) \(\chi_{28665}(27952,\cdot)\)

Related number fields

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

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{2}{3}\right),-i,e\left(\frac{1}{7}\right),e\left(\frac{7}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(19888, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{1}{14}\right)\)