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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	5
15.12.a.a	$15$	$12$	15.a	1.a	$1$	$1$	$1$	$11.525$	\(\Q\)	None	✓	$1$	$1$	\(-56\)	\(-243\)	\(3125\)	\(27984\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-56q^{2}-3^{5}q^{3}+1088q^{4}+5^{5}q^{5}+\cdots\)