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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3317.1.r.b	$3317$	$1$	3317.r	3317.r	$106$	$104$	$2$	$1.655$	\(\Q(\zeta_{159})\)	$D_{159}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(2\)	$1$		\(q+(-\zeta_{318}^{83}-\zeta_{318}^{133})q^{2}+(-\zeta_{318}^{7}+\cdots)q^{4}+\cdots\)