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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
3.8.a.a	$3$	$8$	3.a	1.a	$1$	$1$	$1$	$0.937$	\(\Q\)	None	✓	$1$	$0$	\(6\)	\(-27\)	\(390\)	\(-64\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6q^{2}-3^{3}q^{3}-92q^{4}+390q^{5}+\cdots\)