Dirichlet character \(\chi_{101920}(47739,\cdot)\)

• Label: 101920.47739
• Modulus: $101920$
• Conductor: $101920$
• Order: $168$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(101920\)
Conductor:	\(101920\)
Order:	\(168\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 101920.cuo

\(\chi_{101920}(139,\cdot)\) \(\chi_{101920}(419,\cdot)\) \(\chi_{101920}(3779,\cdot)\) \(\chi_{101920}(4059,\cdot)\) \(\chi_{101920}(7419,\cdot)\) \(\chi_{101920}(7699,\cdot)\) \(\chi_{101920}(11059,\cdot)\) \(\chi_{101920}(11339,\cdot)\) \(\chi_{101920}(14979,\cdot)\) \(\chi_{101920}(18339,\cdot)\) \(\chi_{101920}(21979,\cdot)\) \(\chi_{101920}(22259,\cdot)\) \(\chi_{101920}(25619,\cdot)\) \(\chi_{101920}(25899,\cdot)\) \(\chi_{101920}(29259,\cdot)\) \(\chi_{101920}(29539,\cdot)\) \(\chi_{101920}(32899,\cdot)\) \(\chi_{101920}(33179,\cdot)\) \(\chi_{101920}(36539,\cdot)\) \(\chi_{101920}(36819,\cdot)\) \(\chi_{101920}(40459,\cdot)\) \(\chi_{101920}(43819,\cdot)\) \(\chi_{101920}(47459,\cdot)\) \(\chi_{101920}(47739,\cdot)\) \(\chi_{101920}(51099,\cdot)\) \(\chi_{101920}(51379,\cdot)\) \(\chi_{101920}(54739,\cdot)\) \(\chi_{101920}(55019,\cdot)\) \(\chi_{101920}(58379,\cdot)\) \(\chi_{101920}(58659,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{168})$
Fixed field:	Number field defined by a degree 168 polynomial (not computed)

Values on generators

\((95551,12741,81537,18721,7841)\) → \((-1,e\left(\frac{1}{8}\right),-1,e\left(\frac{11}{14}\right),e\left(\frac{1}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(9\)	\(11\)	\(17\)	\(19\)	\(23\)	\(27\)	\(29\)	\(31\)	\(33\)
\( \chi_{ 101920 }(47739, a) \)	\(1\)	\(1\)	\(e\left(\frac{83}{168}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{79}{84}\right)\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{143}{168}\right)\)	\(1\)	\(e\left(\frac{8}{21}\right)\)