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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3156.1.h.a	$3156$	$1$	3156.h	3156.h	$2$	$1$	$1$	$1.575$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-263}) \), \(\Q(\sqrt{-789}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
3156.1.h.b	$3156$	$1$	3156.h	3156.h	$2$	$1$	$1$	$1.575$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-263}) \), \(\Q(\sqrt{-789}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
3156.1.h.c	$3156$	$1$	3156.h	3156.h	$2$	$2$	$2$	$1.575$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-789}) \)	None	✓	$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}-\beta q^{5}+q^{6}-\beta q^{7}+\cdots\)
3156.1.h.d	$3156$	$1$	3156.h	3156.h	$2$	$2$	$2$	$1.575$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-789}) \)	None	✓	$4$	$0$	\(2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}-\beta q^{5}+q^{6}+\beta q^{7}+\cdots\)
3156.1.h.e	$3156$	$1$	3156.h	3156.h	$2$	$4$	$4$	$1.575$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-789}) \)	None	✓	$4$	$0$	\(-4\)	\(4\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+\beta _{3}q^{7}+\cdots\)
3156.1.h.f	$3156$	$1$	3156.h	3156.h	$2$	$4$	$4$	$1.575$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-789}) \)	None	✓	$4$	$0$	\(4\)	\(-4\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{3}q^{7}+\cdots\)