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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
2.36.a.a	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$0$	\(-131072\)	\(36494748\)	\(389070858750\)	\(-12\!\cdots\!56\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{17}q^{2}+36494748q^{3}+2^{34}q^{4}+\cdots\)
2.36.a.b	$2$	$36$	2.a	1.a	$1$	$1$	$1$	$15.519$	\(\Q\)	None	✓	$1$	$1$	\(131072\)	\(159933852\)	\(-28\!\cdots\!90\)	\(-78\!\cdots\!44\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{17}q^{2}+159933852q^{3}+2^{34}q^{4}+\cdots\)