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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
2.54.a.a	$2$	$54$	2.a	1.a	$1$	$2$	$2$	$35.581$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$1$	\(-134217728\)	\(-14\!\cdots\!12\)	\(30\!\cdots\!40\)	\(-26\!\cdots\!44\)		$+$	$+$	$2^{8}\cdot 3^{5}\cdot 5$	$\mathrm{SU}(2)$	\(q-2^{26}q^{2}+(-721907386956-3\beta )q^{3}+\cdots\)
2.54.a.b	$2$	$54$	2.a	1.a	$1$	$2$	$2$	$35.581$	\(\mathbb{Q}[x]/(x^{2} - \cdots)\)	None	✓	$1$	$0$	\(134217728\)	\(-116235744408\)	\(19\!\cdots\!00\)	\(71\!\cdots\!04\)		$-$	$-$	$2^{8}\cdot 3^{2}\cdot 5\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{26}q^{2}+(-58117872204-\beta )q^{3}+\cdots\)