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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
33.2.e.a	$33$	$2$	33.e	11.c	$5$	$4$	$1$	$0.264$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(-3\)	\(-1\)	\(-1\)	\(-3\)	$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1-\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(\zeta_{10}+\cdots)q^{4}+\cdots\)
33.2.e.b	$33$	$2$	33.e	11.c	$5$	$4$	$1$	$0.264$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(-1\)	\(1\)	\(-3\)	\(1\)	$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+\cdots\)