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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3481.1.d.a	$3481$	$1$	3481.d	59.d	$58$	$28$	$1$	$1.737$	\(\Q(\zeta_{58})\)	$D_{3}$	\(\Q(\sqrt{-59}) \)	None		$56$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+\zeta_{58}^{17}q^{3}-\zeta_{58}^{3}q^{4}+\zeta_{58}^{9}q^{5}+\cdots\)
3481.1.d.b	$3481$	$1$	3481.d	59.d	$58$	$56$	$2$	$1.737$	\(\mathbb{Q}[x]/(x^{56} - \cdots)\)	$S_{4}$	None	None		$56$	$0$	\(0\)	\(-2\)	\(2\)	\(2\)	$1$		\(q-\beta _{31}q^{2}-\beta _{42}q^{3}-\beta _{4}q^{4}-\beta _{12}q^{5}+\cdots\)