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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
664.1.e.a	$664$	$1$	664.e	664.e	$2$	$2$	$2$	$0.331$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-166}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(1\)	\(-1\)	$1$		\(q-q^{2}+q^{4}+(1-\beta )q^{5}-\beta q^{7}-q^{8}+\cdots\)
664.1.e.b	$664$	$1$	664.e	664.e	$2$	$2$	$2$	$0.331$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-166}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+q^{8}+\cdots\)
2656.1.e.a	$2656$	$1$	2656.e	664.e	$2$	$2$	$2$	$1.326$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-166}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(1\)	$1$		\(q-\beta q^{5}+(1-\beta )q^{7}+q^{9}+(-1+\beta )q^{13}+\cdots\)
2656.1.e.b	$2656$	$1$	2656.e	664.e	$2$	$2$	$2$	$1.326$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-166}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(1\)	$1$		\(q+\beta q^{5}+(1-\beta )q^{7}+q^{9}+(1-\beta )q^{13}+\cdots\)
3320.1.j.c	$3320$	$1$	3320.j	3320.j	$2$	$2$	$2$	$1.657$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-415}) \), \(\Q(\sqrt{-166}) \)	\(\Q(\sqrt{10}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+iq^{2}-q^{4}-iq^{5}-iq^{8}-q^{9}+q^{10}+\cdots\)
3320.1.j.h	$3320$	$1$	3320.j	3320.j	$2$	$8$	$8$	$1.657$	\(\Q(\zeta_{20})\)	$D_{10}$	\(\Q(\sqrt{-166}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{20}^{5}q^{2}-q^{4}-\zeta_{20}q^{5}+(-\zeta_{20}^{2}+\cdots)q^{7}+\cdots\)