Dirichlet character \(\chi_{2432}(747,\cdot)\)

• Label: 2432.747
• Modulus: $2432$
• Conductor: $2432$
• Order: $288$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2432\)
Conductor:	\(2432\)
Order:	\(288\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2432.ct

\(\chi_{2432}(35,\cdot)\) \(\chi_{2432}(43,\cdot)\) \(\chi_{2432}(99,\cdot)\) \(\chi_{2432}(123,\cdot)\) \(\chi_{2432}(131,\cdot)\) \(\chi_{2432}(139,\cdot)\) \(\chi_{2432}(187,\cdot)\) \(\chi_{2432}(195,\cdot)\) \(\chi_{2432}(251,\cdot)\) \(\chi_{2432}(275,\cdot)\) \(\chi_{2432}(283,\cdot)\) \(\chi_{2432}(291,\cdot)\) \(\chi_{2432}(339,\cdot)\) \(\chi_{2432}(347,\cdot)\) \(\chi_{2432}(403,\cdot)\) \(\chi_{2432}(427,\cdot)\) \(\chi_{2432}(435,\cdot)\) \(\chi_{2432}(443,\cdot)\) \(\chi_{2432}(491,\cdot)\) \(\chi_{2432}(499,\cdot)\) \(\chi_{2432}(555,\cdot)\) \(\chi_{2432}(579,\cdot)\) \(\chi_{2432}(587,\cdot)\) \(\chi_{2432}(595,\cdot)\) \(\chi_{2432}(643,\cdot)\) \(\chi_{2432}(651,\cdot)\) \(\chi_{2432}(707,\cdot)\) \(\chi_{2432}(731,\cdot)\) \(\chi_{2432}(739,\cdot)\) \(\chi_{2432}(747,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{288})$
Fixed field:	Number field defined by a degree 288 polynomial (not computed)

Values on generators

\((1407,2053,1921)\) → \((-1,e\left(\frac{13}{32}\right),e\left(\frac{7}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 2432 }(747, a) \)	\(-1\)	\(1\)	\(e\left(\frac{239}{288}\right)\)	\(e\left(\frac{245}{288}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{95}{144}\right)\)	\(e\left(\frac{35}{96}\right)\)	\(e\left(\frac{283}{288}\right)\)	\(e\left(\frac{49}{72}\right)\)	\(e\left(\frac{11}{72}\right)\)	\(e\left(\frac{17}{288}\right)\)	\(e\left(\frac{107}{144}\right)\)