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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	11	17
4675.2.a.bd	$4675$	$2$	4675.a	1.a	$1$	$4$	$4$	$37.330$	4.4.33844.1	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
4675.2.a.be	$4675$	$2$	4675.a	1.a	$1$	$4$	$4$	$37.330$	4.4.2777.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1-\beta _{3})q^{4}+(-1+\cdots)q^{6}+\cdots\)