Dirichlet character \(\chi_{11552}(1811,\cdot)\)

• Label: 11552.1811
• Modulus: $11552$
• Conductor: $11552$
• Order: $1368$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(11552\)
Conductor:	\(11552\)
Order:	\(1368\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 11552.dp

\(\chi_{11552}(35,\cdot)\) \(\chi_{11552}(43,\cdot)\) \(\chi_{11552}(123,\cdot)\) \(\chi_{11552}(131,\cdot)\) \(\chi_{11552}(139,\cdot)\) \(\chi_{11552}(187,\cdot)\) \(\chi_{11552}(195,\cdot)\) \(\chi_{11552}(251,\cdot)\) \(\chi_{11552}(275,\cdot)\) \(\chi_{11552}(283,\cdot)\) \(\chi_{11552}(291,\cdot)\) \(\chi_{11552}(339,\cdot)\) \(\chi_{11552}(347,\cdot)\) \(\chi_{11552}(403,\cdot)\) \(\chi_{11552}(427,\cdot)\) \(\chi_{11552}(435,\cdot)\) \(\chi_{11552}(443,\cdot)\) \(\chi_{11552}(491,\cdot)\) \(\chi_{11552}(499,\cdot)\) \(\chi_{11552}(555,\cdot)\) \(\chi_{11552}(579,\cdot)\) \(\chi_{11552}(587,\cdot)\) \(\chi_{11552}(643,\cdot)\) \(\chi_{11552}(651,\cdot)\) \(\chi_{11552}(707,\cdot)\) \(\chi_{11552}(731,\cdot)\) \(\chi_{11552}(739,\cdot)\) \(\chi_{11552}(747,\cdot)\) \(\chi_{11552}(795,\cdot)\) \(\chi_{11552}(803,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1368})$
Fixed field:	Number field defined by a degree 1368 polynomial (not computed)

Values on generators

\((5055,1445,2529)\) → \((-1,e\left(\frac{7}{8}\right),e\left(\frac{70}{171}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 11552 }(1811, a) \)	\(-1\)	\(1\)	\(e\left(\frac{35}{1368}\right)\)	\(e\left(\frac{1157}{1368}\right)\)	\(e\left(\frac{149}{228}\right)\)	\(e\left(\frac{35}{684}\right)\)	\(e\left(\frac{287}{456}\right)\)	\(e\left(\frac{1099}{1368}\right)\)	\(e\left(\frac{149}{171}\right)\)	\(e\left(\frac{5}{342}\right)\)	\(e\left(\frac{929}{1368}\right)\)	\(e\left(\frac{353}{684}\right)\)