Dirichlet character \(\chi_{2432}(467,\cdot)\)

• Label: 2432.467
• Modulus: $2432$
• Conductor: $2432$
• Order: $96$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2432\)
Conductor:	\(2432\)
Order:	\(96\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2432.ci

\(\chi_{2432}(11,\cdot)\) \(\chi_{2432}(83,\cdot)\) \(\chi_{2432}(163,\cdot)\) \(\chi_{2432}(235,\cdot)\) \(\chi_{2432}(315,\cdot)\) \(\chi_{2432}(387,\cdot)\) \(\chi_{2432}(467,\cdot)\) \(\chi_{2432}(539,\cdot)\) \(\chi_{2432}(619,\cdot)\) \(\chi_{2432}(691,\cdot)\) \(\chi_{2432}(771,\cdot)\) \(\chi_{2432}(843,\cdot)\) \(\chi_{2432}(923,\cdot)\) \(\chi_{2432}(995,\cdot)\) \(\chi_{2432}(1075,\cdot)\) \(\chi_{2432}(1147,\cdot)\) \(\chi_{2432}(1227,\cdot)\) \(\chi_{2432}(1299,\cdot)\) \(\chi_{2432}(1379,\cdot)\) \(\chi_{2432}(1451,\cdot)\) \(\chi_{2432}(1531,\cdot)\) \(\chi_{2432}(1603,\cdot)\) \(\chi_{2432}(1683,\cdot)\) \(\chi_{2432}(1755,\cdot)\) \(\chi_{2432}(1835,\cdot)\) \(\chi_{2432}(1907,\cdot)\) \(\chi_{2432}(1987,\cdot)\) \(\chi_{2432}(2059,\cdot)\) \(\chi_{2432}(2139,\cdot)\) \(\chi_{2432}(2211,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{96})$
Fixed field:	Number field defined by a degree 96 polynomial

Values on generators

\((1407,2053,1921)\) → \((-1,e\left(\frac{7}{32}\right),e\left(\frac{2}{3}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 2432 }(467, a) \)	\(-1\)	\(1\)	\(e\left(\frac{79}{96}\right)\)	\(e\left(\frac{85}{96}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{3}{32}\right)\)	\(e\left(\frac{59}{96}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{49}{96}\right)\)	\(e\left(\frac{43}{48}\right)\)