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Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2232.1.i.b	$2232$	$1$	2232.i	248.g	$2$	$2$	$2$	$1.114$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-31}) \)	\(\Q(\sqrt{186}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}-q^{7}+iq^{8}-2q^{10}+\cdots\)
3720.1.bn.a	$3720$	$1$	3720.bn	3720.an	$4$	$4$	$2$	$1.857$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{186}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+\cdots\)
3720.1.bn.d	$3720$	$1$	3720.bn	3720.an	$4$	$4$	$2$	$1.857$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{186}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+\cdots\)