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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3
9.4.a.a	$9$	$4$	9.a	1.a	$1$	$1$	$1$	$0.531$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(20\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}+20q^{7}-70q^{13}+2^{6}q^{16}+\cdots\)