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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2836.1.t.a	$2836$	$1$	2836.t	2836.t	$354$	$116$	$1$	$1.415$	\(\Q(\zeta_{177})\)	$D_{177}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\zeta_{354}^{110}q^{2}-\zeta_{354}^{43}q^{4}+(\zeta_{354}^{90}+\cdots)q^{5}+\cdots\)
3189.1.s.a	$3189$	$1$	3189.s	3189.s	$354$	$116$	$1$	$1.592$	\(\Q(\zeta_{177})\)	$D_{177}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q-\zeta_{354}^{85}q^{3}+\zeta_{354}^{98}q^{4}+(\zeta_{354}^{100}+\cdots)q^{7}+\cdots\)