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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
7.9.b.a	$7$	$9$	7.b	7.b	$2$	$1$	$1$	$2.852$	\(\Q\)	\(\Q(\sqrt{-7}) \)	✓	$2$	$0$	\(-31\)	\(0\)	\(0\)	\(2401\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-31q^{2}+705q^{4}+7^{4}q^{7}-13919q^{8}+\cdots\)