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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.k	$8028$	$2$	8028.a	1.a	$1$	$8$	$8$	$64.104$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}+\beta _{3}+\beta _{6}+\beta _{7})q^{5}+(-\beta _{3}+\cdots)q^{7}+\cdots\)
8028.2.a.l	$8028$	$2$	8028.a	1.a	$1$	$8$	$8$	$64.104$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-13\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{4}-\beta _{5})q^{5}+(-2+\beta _{2})q^{7}+(\beta _{2}+\cdots)q^{11}+\cdots\)