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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3143.1.bv.a	$3143$	$1$	3143.bv	3143.av	$224$	$96$	$1$	$1.569$	\(\Q(\zeta_{224})\)	$D_{224}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{224}^{30}-\zeta_{224}^{44})q^{2}+(\zeta_{224}^{60}+\cdots)q^{4}+\cdots\)
3592.1.by.a	$3592$	$1$	3592.by	3592.ay	$224$	$96$	$1$	$1.793$	\(\Q(\zeta_{224})\)	$D_{224}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{224}^{23}q^{2}+(\zeta_{224}^{30}-\zeta_{224}^{91})q^{3}+\cdots\)