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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1673.1.z.a	$1673$	$1$	1673.z	1673.z	$238$	$96$	$1$	$0.835$	\(\Q(\zeta_{119})\)	$D_{119}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-5\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(-\zeta_{238}+\zeta_{238}^{112})q^{2}+(\zeta_{238}^{2}-\zeta_{238}^{105}+\cdots)q^{4}+\cdots\)
3812.1.ba.a	$3812$	$1$	3812.ba	3812.aa	$238$	$96$	$1$	$1.902$	\(\Q(\zeta_{119})\)	$D_{119}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-6\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{238}^{21}q^{2}+\zeta_{238}^{42}q^{4}+(-\zeta_{238}^{13}+\cdots)q^{5}+\cdots\)