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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3364.1.t.a	$3364$	$1$	3364.t	3364.t	$406$	$168$	$1$	$1.679$	\(\Q(\zeta_{203})\)	$D_{203}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{406}^{47}q^{2}+\zeta_{406}^{94}q^{4}+(-\zeta_{406}^{41}+\cdots)q^{5}+\cdots\)