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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2513.1.l.a	$2513$	$1$	2513.l	2513.l	$358$	$178$	$1$	$1.254$	\(\Q(\zeta_{358})\)	$D_{179}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{358}^{35}-\zeta_{358}^{149})q^{2}+(-\zeta_{358}^{5}+\cdots)q^{4}+\cdots\)