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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	3	5	89
8010.2.a.bd	$8010$	$2$	8010.a	1.a	$1$	$4$	$4$	$63.960$	4.4.47032.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(4\)	\(3\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots\)
8010.2.a.be	$8010$	$2$	8010.a	1.a	$1$	$4$	$4$	$63.960$	4.4.31288.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(-4\)	\(3\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+(\beta _{1}-\beta _{3})q^{7}+q^{8}+\cdots\)