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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
19.4.a.a	$19$	$4$	19.a	1.a	$1$	$1$	$1$	$1.121$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(-5\)	\(-12\)	\(11\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-5q^{3}+q^{4}-12q^{5}+15q^{6}+\cdots\)