Dirichlet character \(\chi_{28665}(13379,\cdot)\)

• Label: 28665.13379
• 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.bkw

\(\chi_{28665}(1094,\cdot)\) \(\chi_{28665}(2594,\cdot)\) \(\chi_{28665}(3854,\cdot)\) \(\chi_{28665}(5189,\cdot)\) \(\chi_{28665}(6134,\cdot)\) \(\chi_{28665}(6689,\cdot)\) \(\chi_{28665}(7949,\cdot)\) \(\chi_{28665}(9284,\cdot)\) \(\chi_{28665}(10229,\cdot)\) \(\chi_{28665}(10784,\cdot)\) \(\chi_{28665}(12044,\cdot)\) \(\chi_{28665}(13379,\cdot)\) \(\chi_{28665}(14324,\cdot)\) \(\chi_{28665}(14879,\cdot)\) \(\chi_{28665}(18419,\cdot)\) \(\chi_{28665}(18974,\cdot)\) \(\chi_{28665}(20234,\cdot)\) \(\chi_{28665}(21569,\cdot)\) \(\chi_{28665}(22514,\cdot)\) \(\chi_{28665}(23069,\cdot)\) \(\chi_{28665}(24329,\cdot)\) \(\chi_{28665}(25664,\cdot)\) \(\chi_{28665}(26609,\cdot)\) \(\chi_{28665}(28424,\cdot)\)

Related number fields

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

Values on generators

\((25481,11467,18721,11026)\) → \((e\left(\frac{5}{6}\right),-1,e\left(\frac{13}{21}\right),e\left(\frac{1}{12}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)	\(29\)
\( \chi_{ 28665 }(13379, a) \)	\(1\)	\(1\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{13}{42}\right)\)