Dirichlet character \(\chi_{1156}(43,\cdot)\)

• Label: 1156.43
• Modulus: $1156$
• Conductor: $1156$
• Order: $136$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(1156\)
Conductor:	\(1156\)
Order:	\(136\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1156.r

\(\chi_{1156}(15,\cdot)\) \(\chi_{1156}(19,\cdot)\) \(\chi_{1156}(43,\cdot)\) \(\chi_{1156}(59,\cdot)\) \(\chi_{1156}(83,\cdot)\) \(\chi_{1156}(87,\cdot)\) \(\chi_{1156}(111,\cdot)\) \(\chi_{1156}(127,\cdot)\) \(\chi_{1156}(151,\cdot)\) \(\chi_{1156}(195,\cdot)\) \(\chi_{1156}(219,\cdot)\) \(\chi_{1156}(223,\cdot)\) \(\chi_{1156}(247,\cdot)\) \(\chi_{1156}(263,\cdot)\) \(\chi_{1156}(287,\cdot)\) \(\chi_{1156}(291,\cdot)\) \(\chi_{1156}(315,\cdot)\) \(\chi_{1156}(331,\cdot)\) \(\chi_{1156}(355,\cdot)\) \(\chi_{1156}(359,\cdot)\) \(\chi_{1156}(383,\cdot)\) \(\chi_{1156}(427,\cdot)\) \(\chi_{1156}(451,\cdot)\) \(\chi_{1156}(467,\cdot)\) \(\chi_{1156}(491,\cdot)\) \(\chi_{1156}(495,\cdot)\) \(\chi_{1156}(519,\cdot)\) \(\chi_{1156}(535,\cdot)\) \(\chi_{1156}(559,\cdot)\) \(\chi_{1156}(563,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{136})$
Fixed field:	Number field defined by a degree 136 polynomial (not computed)

Values on generators

\((579,581)\) → \((-1,e\left(\frac{113}{136}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(19\)	\(21\)	\(23\)
\( \chi_{ 1156 }(43, a) \)	\(-1\)	\(1\)	\(e\left(\frac{45}{136}\right)\)	\(e\left(\frac{37}{136}\right)\)	\(e\left(\frac{39}{136}\right)\)	\(e\left(\frac{45}{68}\right)\)	\(e\left(\frac{83}{136}\right)\)	\(e\left(\frac{29}{34}\right)\)	\(e\left(\frac{41}{68}\right)\)	\(e\left(\frac{9}{68}\right)\)	\(e\left(\frac{21}{34}\right)\)	\(e\left(\frac{107}{136}\right)\)