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Results (3 matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	167
8016.2.a.x	$8016$	$2$	8016.a	1.a	$1$	$8$	$8$	$64.008$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(7\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{2})q^{5}+(1-\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{7}+\cdots\)
8016.2.a.y	$8016$	$2$	8016.a	1.a	$1$	$8$	$8$	$64.008$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}-\beta _{3}q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
8016.2.a.z	$8016$	$2$	8016.a	1.a	$1$	$8$	$8$	$64.008$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{1}+\beta _{2}-\beta _{5})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)