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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3188.1.i.a	$3188$	$1$	3188.i	3188.i	$398$	$198$	$1$	$1.591$	\(\Q(\zeta_{398})\)	$D_{199}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{398}^{43}q^{2}+\zeta_{398}^{86}q^{4}+(\zeta_{398}^{40}+\cdots)q^{5}+\cdots\)