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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
2.44.a.a	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(-4194304\)	\(-12981630984\)	\(-39\!\cdots\!00\)	\(11\!\cdots\!08\)		$+$	$+$	$2^{8}\cdot 3\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{21}q^{2}+(-6490815492-\beta )q^{3}+\cdots\)
2.44.a.b	$2$	$44$	2.a	1.a	$1$	$2$	$2$	$23.422$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(4194304\)	\(-22341634056\)	\(-47\!\cdots\!20\)	\(-22\!\cdots\!28\)		$-$	$-$	$2^{8}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{21}q^{2}+(-11170817028-\beta )q^{3}+\cdots\)