Dirichlet character \(\chi_{28665}(21964,\cdot)\)

• Label: 28665.21964
• 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.bjs

\(\chi_{28665}(934,\cdot)\) \(\chi_{28665}(2749,\cdot)\) \(\chi_{28665}(4084,\cdot)\) \(\chi_{28665}(5584,\cdot)\) \(\chi_{28665}(6844,\cdot)\) \(\chi_{28665}(8179,\cdot)\) \(\chi_{28665}(9124,\cdot)\) \(\chi_{28665}(9679,\cdot)\) \(\chi_{28665}(10939,\cdot)\) \(\chi_{28665}(12274,\cdot)\) \(\chi_{28665}(13219,\cdot)\) \(\chi_{28665}(13774,\cdot)\) \(\chi_{28665}(15034,\cdot)\) \(\chi_{28665}(16369,\cdot)\) \(\chi_{28665}(17314,\cdot)\) \(\chi_{28665}(17869,\cdot)\) \(\chi_{28665}(21409,\cdot)\) \(\chi_{28665}(21964,\cdot)\) \(\chi_{28665}(23224,\cdot)\) \(\chi_{28665}(24559,\cdot)\) \(\chi_{28665}(25504,\cdot)\) \(\chi_{28665}(26059,\cdot)\) \(\chi_{28665}(27319,\cdot)\) \(\chi_{28665}(28654,\cdot)\)

Related number fields

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

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{1}{3}\right),-1,e\left(\frac{11}{42}\right),e\left(\frac{11}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(21964, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(-i\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{5}{7}\right)\)