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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.j.e	$4032$	$2$	4032.j	24.f	$2$	$16$	$16$	$32.196$	16.0.\(\cdots\).1	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{18}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{13}q^{5}+\beta _{1}q^{7}+\beta _{9}q^{11}-\beta _{5}q^{13}+\cdots\)
4032.2.j.f	$4032$	$2$	4032.j	24.f	$2$	$16$	$16$	$32.196$	16.0.\(\cdots\).1	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{18}\cdot 3^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{12}q^{5}+\beta _{8}q^{7}+(-\beta _{11}-\beta _{13}+\cdots)q^{11}+\cdots\)