Dirichlet character \(\chi_{2592}(275,\cdot)\)

• Label: 2592.275
• Modulus: $2592$
• Conductor: $2592$
• Order: $216$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2592\)
Conductor:	\(2592\)
Order:	\(216\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2592.ci

\(\chi_{2592}(11,\cdot)\) \(\chi_{2592}(59,\cdot)\) \(\chi_{2592}(83,\cdot)\) \(\chi_{2592}(131,\cdot)\) \(\chi_{2592}(155,\cdot)\) \(\chi_{2592}(203,\cdot)\) \(\chi_{2592}(227,\cdot)\) \(\chi_{2592}(275,\cdot)\) \(\chi_{2592}(299,\cdot)\) \(\chi_{2592}(347,\cdot)\) \(\chi_{2592}(371,\cdot)\) \(\chi_{2592}(419,\cdot)\) \(\chi_{2592}(443,\cdot)\) \(\chi_{2592}(491,\cdot)\) \(\chi_{2592}(515,\cdot)\) \(\chi_{2592}(563,\cdot)\) \(\chi_{2592}(587,\cdot)\) \(\chi_{2592}(635,\cdot)\) \(\chi_{2592}(659,\cdot)\) \(\chi_{2592}(707,\cdot)\) \(\chi_{2592}(731,\cdot)\) \(\chi_{2592}(779,\cdot)\) \(\chi_{2592}(803,\cdot)\) \(\chi_{2592}(851,\cdot)\) \(\chi_{2592}(875,\cdot)\) \(\chi_{2592}(923,\cdot)\) \(\chi_{2592}(947,\cdot)\) \(\chi_{2592}(995,\cdot)\) \(\chi_{2592}(1019,\cdot)\) \(\chi_{2592}(1067,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{216})$
Fixed field:	Number field defined by a degree 216 polynomial (not computed)

Values on generators

\((2431,325,1217)\) → \((-1,e\left(\frac{7}{8}\right),e\left(\frac{5}{54}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\( \chi_{ 2592 }(275, a) \)	\(1\)	\(1\)	\(e\left(\frac{1}{216}\right)\)	\(e\left(\frac{79}{108}\right)\)	\(e\left(\frac{17}{216}\right)\)	\(e\left(\frac{187}{216}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{5}{72}\right)\)	\(e\left(\frac{83}{108}\right)\)	\(e\left(\frac{1}{108}\right)\)	\(e\left(\frac{11}{216}\right)\)	\(e\left(\frac{19}{54}\right)\)