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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3997.1.cz.a	$3997$	$1$	3997.cz	3997.bz	$570$	$144$	$1$	$1.995$	\(\Q(\zeta_{570})\)	$D_{285}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)	$1$		\(q+(-\zeta_{570}^{201}+\zeta_{570}^{244})q^{2}+(-\zeta_{570}^{117}+\cdots)q^{4}+\cdots\)