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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1272.1.h.e	$1272$	$1$	1272.h	1272.h	$2$	$2$	$2$	$0.635$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-159}) \)	\(\Q(\sqrt{106}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-iq^{2}+iq^{3}-q^{4}-iq^{5}+q^{6}+q^{7}+\cdots\)
2120.1.z.a	$2120$	$1$	2120.z	2120.z	$4$	$4$	$2$	$1.058$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{106}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots\)
2968.1.c.a	$2968$	$1$	2968.c	2968.c	$2$	$1$	$1$	$1.481$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-742}) \)	\(\Q(\sqrt{106}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{9}+q^{14}+\cdots\)
2968.1.c.b	$2968$	$1$	2968.c	2968.c	$2$	$1$	$1$	$1.481$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-742}) \)	\(\Q(\sqrt{106}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{9}-q^{14}+\cdots\)
3816.1.bh.a	$3816$	$1$	3816.bh	3816.ah	$6$	$4$	$2$	$1.904$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{106}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)