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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2020.1.bt.a	$2020$	$1$	2020.bt	2020.at	$50$	$20$	$1$	$1.008$	\(\Q(\zeta_{50})\)	$D_{50}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{11}q^{5}+\cdots\)
2020.1.bt.b	$2020$	$1$	2020.bt	2020.at	$50$	$20$	$1$	$1.008$	\(\Q(\zeta_{50})\)	$D_{50}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{23}q^{5}+\cdots\)