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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
692.1.d.a	$692$	$1$	692.d	692.d	$2$	$3$	$3$	$0.345$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-173}) \)	None	✓	$2$	$0$	\(-3\)	\(1\)	\(0\)	\(1\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
692.1.d.b	$692$	$1$	692.d	692.d	$2$	$3$	$3$	$0.345$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-173}) \)	None	✓	$2$	$0$	\(3\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
2768.1.g.a	$2768$	$1$	2768.g	692.d	$2$	$1$	$1$	$1.381$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-173}) \)	\(\Q(\sqrt{173}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{9}+2q^{13}+q^{25}-2q^{29}+2q^{37}+\cdots\)
2768.1.g.b	$2768$	$1$	2768.g	692.d	$2$	$6$	$6$	$1.381$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-173}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+\beta _{3}q^{7}+(1+\beta _{2})q^{9}+\beta _{5}q^{11}+\cdots\)