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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3288.1.i.e	$3288$	$1$	3288.i	3288.i	$2$	$4$	$4$	$1.641$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{274}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)	$1$		\(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots\)