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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	13	17
5525.2.a.bh	$5525$	$2$	5525.a	1.a	$1$	$13$	$13$	$44.117$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	✓			5525.2.a.bh	$1$	$1$	\(-1\)	\(-7\)	\(0\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
5525.2.a.bi	$5525$	$2$	5525.a	1.a	$1$	$13$	$13$	$44.117$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	✓	✓		5525.2.a.bh	$1$	$0$	\(1\)	\(7\)	\(0\)	\(9\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)