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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
3.6.a.a	$3$	$6$	3.a	1.a	$1$	$1$	$1$	$0.481$	\(\Q\)	None	✓	$1$	$0$	\(-6\)	\(9\)	\(6\)	\(-40\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{2}+9q^{3}+4q^{4}+6q^{5}-54q^{6}+\cdots\)