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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
3.10.a.a	$3$	$10$	3.a	1.a	$1$	$1$	$1$	$1.545$	\(\Q\)	None	✓	$1$	$1$	\(-36\)	\(-81\)	\(-1314\)	\(-4480\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6^{2}q^{2}-3^{4}q^{3}+28^{2}q^{4}-1314q^{5}+\cdots\)
3.10.a.b	$3$	$10$	3.a	1.a	$1$	$1$	$1$	$1.545$	\(\Q\)	None	✓	$1$	$0$	\(18\)	\(81\)	\(-1530\)	\(9128\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+18q^{2}+3^{4}q^{3}-188q^{4}-1530q^{5}+\cdots\)