Dirichlet character \(\chi_{23104}(731,\cdot)\)

• Label: 23104.731
• Modulus: $23104$
• Conductor: $23104$
• Order: $2736$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(23104\)
Conductor:	\(23104\)
Order:	\(2736\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 23104.ep

\(\chi_{23104}(35,\cdot)\) \(\chi_{23104}(43,\cdot)\) \(\chi_{23104}(123,\cdot)\) \(\chi_{23104}(131,\cdot)\) \(\chi_{23104}(139,\cdot)\) \(\chi_{23104}(187,\cdot)\) \(\chi_{23104}(195,\cdot)\) \(\chi_{23104}(251,\cdot)\) \(\chi_{23104}(275,\cdot)\) \(\chi_{23104}(283,\cdot)\) \(\chi_{23104}(291,\cdot)\) \(\chi_{23104}(339,\cdot)\) \(\chi_{23104}(347,\cdot)\) \(\chi_{23104}(403,\cdot)\) \(\chi_{23104}(427,\cdot)\) \(\chi_{23104}(435,\cdot)\) \(\chi_{23104}(443,\cdot)\) \(\chi_{23104}(491,\cdot)\) \(\chi_{23104}(499,\cdot)\) \(\chi_{23104}(555,\cdot)\) \(\chi_{23104}(579,\cdot)\) \(\chi_{23104}(587,\cdot)\) \(\chi_{23104}(643,\cdot)\) \(\chi_{23104}(651,\cdot)\) \(\chi_{23104}(707,\cdot)\) \(\chi_{23104}(731,\cdot)\) \(\chi_{23104}(739,\cdot)\) \(\chi_{23104}(747,\cdot)\) \(\chi_{23104}(795,\cdot)\) \(\chi_{23104}(803,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{2736})$
Fixed field:	Number field defined by a degree 2736 polynomial (not computed)

Values on generators

\((5055,12997,14081)\) → \((-1,e\left(\frac{9}{16}\right),e\left(\frac{139}{171}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\( \chi_{ 23104 }(731, a) \)	\(-1\)	\(1\)	\(e\left(\frac{481}{2736}\right)\)	\(e\left(\frac{403}{2736}\right)\)	\(e\left(\frac{25}{456}\right)\)	\(e\left(\frac{481}{1368}\right)\)	\(e\left(\frac{205}{912}\right)\)	\(e\left(\frac{2381}{2736}\right)\)	\(e\left(\frac{221}{684}\right)\)	\(e\left(\frac{313}{684}\right)\)	\(e\left(\frac{631}{2736}\right)\)	\(e\left(\frac{73}{1368}\right)\)