Dirichlet character \(\chi_{5184}(43,\cdot)\)

• Label: 5184.43
• Modulus: $5184$
• Conductor: $5184$
• Order: $432$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(5184\)
Conductor:	\(5184\)
Order:	\(432\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 5184.cz

\(\chi_{5184}(43,\cdot)\) \(\chi_{5184}(67,\cdot)\) \(\chi_{5184}(115,\cdot)\) \(\chi_{5184}(139,\cdot)\) \(\chi_{5184}(187,\cdot)\) \(\chi_{5184}(211,\cdot)\) \(\chi_{5184}(259,\cdot)\) \(\chi_{5184}(283,\cdot)\) \(\chi_{5184}(331,\cdot)\) \(\chi_{5184}(355,\cdot)\) \(\chi_{5184}(403,\cdot)\) \(\chi_{5184}(427,\cdot)\) \(\chi_{5184}(475,\cdot)\) \(\chi_{5184}(499,\cdot)\) \(\chi_{5184}(547,\cdot)\) \(\chi_{5184}(571,\cdot)\) \(\chi_{5184}(619,\cdot)\) \(\chi_{5184}(643,\cdot)\) \(\chi_{5184}(691,\cdot)\) \(\chi_{5184}(715,\cdot)\) \(\chi_{5184}(763,\cdot)\) \(\chi_{5184}(787,\cdot)\) \(\chi_{5184}(835,\cdot)\) \(\chi_{5184}(859,\cdot)\) \(\chi_{5184}(907,\cdot)\) \(\chi_{5184}(931,\cdot)\) \(\chi_{5184}(979,\cdot)\) \(\chi_{5184}(1003,\cdot)\) \(\chi_{5184}(1051,\cdot)\) \(\chi_{5184}(1075,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{432})$
Fixed field:	Number field defined by a degree 432 polynomial (not computed)

Values on generators

\((2431,325,1217)\) → \((-1,e\left(\frac{13}{16}\right),e\left(\frac{11}{27}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\( \chi_{ 5184 }(43, a) \)	\(-1\)	\(1\)	\(e\left(\frac{79}{432}\right)\)	\(e\left(\frac{31}{216}\right)\)	\(e\left(\frac{371}{432}\right)\)	\(e\left(\frac{193}{432}\right)\)	\(e\left(\frac{7}{36}\right)\)	\(e\left(\frac{107}{144}\right)\)	\(e\left(\frac{77}{216}\right)\)	\(e\left(\frac{79}{216}\right)\)	\(e\left(\frac{5}{432}\right)\)	\(e\left(\frac{4}{27}\right)\)