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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2996.1.h.a	$2996$	$1$	2996.h	2996.h	$2$	$1$	$1$	$1.495$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-749}) \)	\(\Q(\sqrt{107}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\)
2996.1.h.b	$2996$	$1$	2996.h	2996.h	$2$	$1$	$1$	$1.495$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-749}) \)	\(\Q(\sqrt{107}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}+q^{14}+\cdots\)
2996.1.h.c	$2996$	$1$	2996.h	2996.h	$2$	$2$	$2$	$1.495$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-749}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}-q^{7}+\cdots\)
2996.1.h.d	$2996$	$1$	2996.h	2996.h	$2$	$2$	$2$	$1.495$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-749}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(2\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}+\beta q^{5}-\beta q^{6}+q^{7}+\cdots\)
2996.1.h.e	$2996$	$1$	2996.h	2996.h	$2$	$4$	$4$	$1.495$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-749}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(4\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
2996.1.h.f	$2996$	$1$	2996.h	2996.h	$2$	$4$	$4$	$1.495$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-749}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(-4\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)