Dirichlet character \(\chi_{1984}(91,\cdot)\)

• Label: 1984.91
• Modulus: $1984$
• Conductor: $1984$
• Order: $80$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1984\)
Conductor:	\(1984\)
Order:	\(80\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1984.cr

\(\chi_{1984}(27,\cdot)\) \(\chi_{1984}(91,\cdot)\) \(\chi_{1984}(139,\cdot)\) \(\chi_{1984}(147,\cdot)\) \(\chi_{1984}(275,\cdot)\) \(\chi_{1984}(339,\cdot)\) \(\chi_{1984}(387,\cdot)\) \(\chi_{1984}(395,\cdot)\) \(\chi_{1984}(523,\cdot)\) \(\chi_{1984}(587,\cdot)\) \(\chi_{1984}(635,\cdot)\) \(\chi_{1984}(643,\cdot)\) \(\chi_{1984}(771,\cdot)\) \(\chi_{1984}(835,\cdot)\) \(\chi_{1984}(883,\cdot)\) \(\chi_{1984}(891,\cdot)\) \(\chi_{1984}(1019,\cdot)\) \(\chi_{1984}(1083,\cdot)\) \(\chi_{1984}(1131,\cdot)\) \(\chi_{1984}(1139,\cdot)\) \(\chi_{1984}(1267,\cdot)\) \(\chi_{1984}(1331,\cdot)\) \(\chi_{1984}(1379,\cdot)\) \(\chi_{1984}(1387,\cdot)\) \(\chi_{1984}(1515,\cdot)\) \(\chi_{1984}(1579,\cdot)\) \(\chi_{1984}(1627,\cdot)\) \(\chi_{1984}(1635,\cdot)\) \(\chi_{1984}(1763,\cdot)\) \(\chi_{1984}(1827,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{80})$
Fixed field:	Number field defined by a degree 80 polynomial

Values on generators

\((63,1861,65)\) → \((-1,e\left(\frac{9}{16}\right),e\left(\frac{3}{10}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\( \chi_{ 1984 }(91, a) \)	\(1\)	\(1\)	\(e\left(\frac{39}{80}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{17}{80}\right)\)	\(e\left(\frac{59}{80}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{51}{80}\right)\)	\(e\left(\frac{1}{80}\right)\)