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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4032.2.v.a	$4032$	$2$	4032.v	48.k	$4$	$4$	$2$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$2$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}-q^{7}+(-\zeta_{8}^{2}+\zeta_{8}^{3})q^{11}+\cdots\)
4032.2.v.b	$4032$	$2$	4032.v	48.k	$4$	$4$	$2$	$32.196$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$2$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}-q^{7}+(2\zeta_{8}^{2}-2\zeta_{8}^{3})q^{11}+\cdots\)