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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
727.1.b.a	$727$	$1$	727.b	727.b	$2$	$6$	$6$	$0.363$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-727}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\beta _{3}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5})q^{4}+\cdots\)