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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	223
8028.2.a.g	$8028$	$2$	8028.a	1.a	$1$	$2$	$2$	$64.104$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-4q^{7}-2\beta q^{11}+2q^{13}+2q^{19}+\cdots\)
8028.2.a.h	$8028$	$2$	8028.a	1.a	$1$	$2$	$2$	$64.104$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{5}+2\beta q^{7}+(4+\beta )q^{11}+\cdots\)