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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	113
8475.2.a.bl	$8475$	$2$	8475.a	1.a	$1$	$21$	$21$	$67.673$		None	✓	$1$	$1$	\(-2\)	\(21\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
8475.2.a.bm	$8475$	$2$	8475.a	1.a	$1$	$21$	$21$	$67.673$		None	✓	$1$	$1$	\(2\)	\(-21\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$