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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	7	383
8043.2.a.o	$8043$	$2$	8043.a	1.a	$1$	$41$	$41$	$64.224$		None	✓	$1$	$1$	\(-4\)	\(-41\)	\(5\)	\(41\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$
8043.2.a.p	$8043$	$2$	8043.a	1.a	$1$	$41$	$41$	$64.224$		None	✓	$1$	$0$	\(7\)	\(41\)	\(17\)	\(-41\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$