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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
691.1.b.a	$691$	$1$	691.b	691.b	$2$	$2$	$2$	$0.345$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-691}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+q^{9}+q^{16}+\cdots\)
2764.1.c.a	$2764$	$1$	2764.c	691.b	$2$	$1$	$1$	$1.379$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-691}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(-1\)	$1$		\(q+2q^{5}-q^{7}+q^{9}+3q^{25}-q^{29}+\cdots\)
2764.1.c.c	$2764$	$1$	2764.c	691.b	$2$	$4$	$4$	$1.379$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-691}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)	$1$		\(q+\beta _{3}q^{5}+\beta _{1}q^{7}+q^{9}-\beta _{3}q^{25}+(1+\cdots)q^{29}+\cdots\)
3455.1.d.a	$3455$	$1$	3455.d	3455.d	$2$	$1$	$1$	$1.724$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-691}) \), \(\Q(\sqrt{-3455}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}+q^{16}+q^{20}+q^{25}+\cdots\)
3455.1.d.b	$3455$	$1$	3455.d	3455.d	$2$	$4$	$4$	$1.724$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-691}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+\zeta_{10}q^{5}+(\zeta_{10}^{2}+\zeta_{10}^{3})q^{7}+\cdots\)