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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1016.1.h.a	$1016$	$1$	1016.h	1016.h	$2$	$1$	$1$	$0.507$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-127}) \), \(\Q(\sqrt{-254}) \)	\(\Q(\sqrt{2}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}+2q^{17}+\cdots\)
1016.1.h.b	$1016$	$1$	1016.h	1016.h	$2$	$2$	$2$	$0.507$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-254}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}+\beta q^{5}-\beta q^{6}+q^{8}+\cdots\)
1016.1.h.c	$1016$	$1$	1016.h	1016.h	$2$	$4$	$4$	$0.507$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-254}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)