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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3032.1.g.a	$3032$	$1$	3032.g	3032.g	$2$	$5$	$5$	$1.513$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-758}) \)	None	✓	$2$	$0$	\(-5\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{3}+\cdots\)
3032.1.g.b	$3032$	$1$	3032.g	3032.g	$2$	$5$	$5$	$1.513$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-758}) \)	None	✓	$2$	$0$	\(5\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+\beta _{4}q^{3}+q^{4}+\beta _{4}q^{6}+q^{8}+\cdots\)