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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3940.1.ce.a	$3940$	$1$	3940.ce	3940.be	$196$	$84$	$1$	$1.966$	\(\Q(\zeta_{196})\)	$D_{196}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{196}^{33}q^{2}+\zeta_{196}^{66}q^{4}-\zeta_{196}^{68}q^{5}+\cdots\)
3940.1.cf.a	$3940$	$1$	3940.cf	3940.bf	$196$	$84$	$1$	$1.966$	\(\Q(\zeta_{196})\)	$D_{196}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{196}^{66}q^{2}-\zeta_{196}^{34}q^{4}+\zeta_{196}^{97}q^{5}+\cdots\)