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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2001.1.i.c	$2001$	$1$	2001.i	2001.i	$4$	$4$	$2$	$0.999$	\(\Q(\zeta_{12})\)	$D_{12}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{12}^{4}+\zeta_{12}^{5})q^{2}-\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)
2001.1.i.d	$2001$	$1$	2001.i	2001.i	$4$	$4$	$2$	$0.999$	\(\Q(\zeta_{12})\)	$D_{12}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}-\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}+\cdots)q^{4}+\cdots\)