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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5
5.12.a.a	$5$	$12$	5.a	1.a	$1$	$1$	$1$	$3.842$	\(\Q\)	None	✓	$1$	$1$	\(34\)	\(-792\)	\(3125\)	\(-17556\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+34q^{2}-792q^{3}-892q^{4}+5^{5}q^{5}+\cdots\)