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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
849.1.l.a	$849$	$1$	849.l	849.l	$94$	$46$	$1$	$0.424$	\(\Q(\zeta_{94})\)	$D_{47}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{94}^{45}q^{3}+\zeta_{94}^{22}q^{4}+(-\zeta_{94}^{29}+\cdots)q^{7}+\cdots\)
2264.1.s.a	$2264$	$1$	2264.s	2264.s	$94$	$46$	$1$	$1.130$	\(\Q(\zeta_{94})\)	$D_{47}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{94}^{16}q^{2}+(\zeta_{94}^{18}+\zeta_{94}^{36})q^{3}+\cdots\)
3023.1.b.a	$3023$	$1$	3023.b	3023.b	$2$	$23$	$23$	$1.509$	\(\Q(\zeta_{94})^+\)	$D_{47}$	\(\Q(\sqrt{-3023}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{7}+\cdots)q^{6}+\cdots\)
3387.1.t.a	$3387$	$1$	3387.t	3387.t	$94$	$46$	$1$	$1.690$	\(\Q(\zeta_{94})\)	$D_{47}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{94}^{44}q^{3}-\zeta_{94}^{27}q^{4}+(\zeta_{94}^{28}+\cdots)q^{7}+\cdots\)
3764.1.o.a	$3764$	$1$	3764.o	3764.o	$94$	$46$	$1$	$1.878$	\(\Q(\zeta_{94})\)	$D_{47}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{94}^{34}q^{2}-\zeta_{94}^{21}q^{4}+(\zeta_{94}^{2}-\zeta_{94}^{35}+\cdots)q^{5}+\cdots\)