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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.k.g	$4032$	$2$	4032.k	21.c	$2$	$16$	$16$	$32.196$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{25}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{5}+\beta _{6}q^{7}-\beta _{3}q^{11}+\beta _{13}q^{13}+\cdots\)
4032.2.k.h	$4032$	$2$	4032.k	21.c	$2$	$16$	$16$	$32.196$	16.0.\(\cdots\).7	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{26}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{5}+\beta _{3}q^{7}+\beta _{4}q^{11}+\beta _{9}q^{13}+\cdots\)