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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2564.1.bb.a	$2564$	$1$	2564.bb	2564.ab	$160$	$64$	$1$	$1.280$	\(\Q(\zeta_{160})\)	$D_{160}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{160}^{35}q^{2}+\zeta_{160}^{70}q^{4}+(-\zeta_{160}+\cdots)q^{5}+\cdots\)