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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3352.1.be.a	$3352$	$1$	3352.be	3352.ae	$418$	$180$	$1$	$1.673$	\(\Q(\zeta_{209})\)	$D_{209}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\zeta_{418}^{25}q^{2}+(\zeta_{418}^{36}-\zeta_{418}^{157})q^{3}+\cdots\)