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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	7
175.10.a.j	$175$	$10$	175.a	1.a	$1$	$10$	$10$	$90.131$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓			175.10.a.j	$1$	$0$	\(-22\)	\(77\)	\(0\)	\(-24010\)		$-$	$+$	$-$	$2^{7}\cdot 3^{4}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{2}+(8+\beta _{3})q^{3}+(237+\cdots)q^{4}+\cdots\)
175.10.a.m	$175$	$10$	175.a	1.a	$1$	$13$	$13$	$90.131$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓		✓		35.10.b.a	$1$	$0$	\(32\)	\(158\)	\(0\)	\(-31213\)		$-$	$+$	$-$	$2^{9}\cdot 3^{2}\cdot 5^{10}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}+(12-\beta _{3})q^{3}+(208+5\beta _{1}+\cdots)q^{4}+\cdots\)

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