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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		19
19.6.a.a	$19$	$6$	19.a	1.a	$1$	$1$	$1$	$3.047$	\(\Q\)	None	✓	$1$	$0$	\(-6\)	\(4\)	\(54\)	\(248\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{2}+4q^{3}+4q^{4}+54q^{5}-24q^{6}+\cdots\)
19.6.a.b	$19$	$6$	19.a	1.a	$1$	$1$	$1$	$3.047$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-24\)	\(-167\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}-28q^{4}-24q^{5}+2q^{6}+\cdots\)