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Results (5 matches)

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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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7
98.6.a.a	$98$	$6$	98.a	1.a	$1$	$1$	$1$	$15.718$	\(\Q\)	None	✓				14.6.a.a	$1$	$0$	\(-4\)	\(-10\)	\(-84\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-10q^{3}+2^{4}q^{4}-84q^{5}+40q^{6}+\cdots\)
98.6.a.e	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{46}) \)	None	✓	✓			98.6.a.e	$2$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+\beta q^{3}+2^{4}q^{4}-7\beta q^{5}-4\beta q^{6}+\cdots\)
98.6.a.f	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{130}) \)	None	✓				14.6.c.b	$1$	$0$	\(-8\)	\(14\)	\(42\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(7+\beta )q^{3}+2^{4}q^{4}+21q^{5}+\cdots\)
98.6.a.h	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{79}) \)	None	✓				14.6.c.a	$1$	$0$	\(8\)	\(14\)	\(70\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(7+\beta )q^{3}+2^{4}q^{4}+(35-4\beta )q^{5}+\cdots\)
98.6.a.i	$98$	$6$	98.a	1.a	$1$	$4$	$4$	$15.718$	\(\Q(\sqrt{2}, \sqrt{793})\)	None	✓	✓	✓		98.6.a.i	$2$	$0$	\(16\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+4q^{2}+(\beta _{1}+\beta _{3})q^{3}+2^{4}q^{4}+(4\beta _{1}+\cdots)q^{5}+\cdots\)

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