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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
788.1.d.a	$788$	$1$	788.d	788.d	$2$	$2$	$2$	$0.393$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-197}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
788.1.d.b	$788$	$1$	788.d	788.d	$2$	$2$	$2$	$0.393$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-197}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
3152.1.f.a	$3152$	$1$	3152.f	788.d	$2$	$1$	$1$	$1.573$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-197}) \)	\(\Q(\sqrt{197}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+q^{25}+2q^{29}+2q^{37}+2q^{41}+\cdots\)
3152.1.f.c	$3152$	$1$	3152.f	788.d	$2$	$4$	$4$	$1.573$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-197}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+(2+\beta _{2})q^{9}+\beta _{3}q^{11}+q^{25}+\cdots\)