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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2712.1.h.e	$2712$	$1$	2712.h	2712.h	$2$	$8$	$8$	$1.353$	\(\Q(\zeta_{16})\)	$D_{8}$	None	\(\Q(\sqrt{226}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{16}^{4}q^{2}-\zeta_{16}q^{3}-q^{4}+(-\zeta_{16}^{3}+\cdots)q^{5}+\cdots\)