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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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13
169.8.a.d	$169$	$8$	169.a	1.a	$1$	$6$	$6$	$52.793$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				13.8.b.a	$2$	$1$	\(0\)	\(-56\)	\(0\)	\(0\)		$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-9-\beta _{2})q^{3}+(22+\beta _{4}+\cdots)q^{4}+\cdots\)
169.8.a.g	$169$	$8$	169.a	1.a	$1$	$14$	$14$	$52.793$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓				13.8.e.a	$2$	$1$	\(0\)	\(-52\)	\(0\)	\(0\)		$-$	$-$	$2^{13}\cdot 3^{3}\cdot 13^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-4-\beta _{5})q^{3}+(55+\beta _{4}+\cdots)q^{4}+\cdots\)
169.8.a.h	$169$	$8$	169.a	1.a	$1$	$21$	$21$	$52.793$		None	✓	✓	✓		169.8.a.h	$1$	$1$	\(-31\)	\(-26\)	\(-680\)	\(-2929\)		$-$	$-$		$\mathrm{SU}(2)$

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