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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2773.1.j.b	$2773$	$1$	2773.j	2773.j	$58$	$112$	$4$	$1.384$	\(\Q(\zeta_{145})\)	$D_{145}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(2\)	$1$		\(q+(\zeta_{290}^{84}+\zeta_{290}^{106})q^{2}+(-\zeta_{290}^{27}+\cdots)q^{3}+\cdots\)