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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
964.1.c.a	$964$	$1$	964.c	964.c	$2$	$1$	$1$	$0.481$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-241}) \)	\(\Q(\sqrt{241}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}+q^{9}+2q^{10}+\cdots\)
964.1.c.b	$964$	$1$	964.c	964.c	$2$	$1$	$1$	$0.481$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-241}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
964.1.c.c	$964$	$1$	964.c	964.c	$2$	$1$	$1$	$0.481$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-241}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(1\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}+q^{9}+\cdots\)
964.1.c.d	$964$	$1$	964.c	964.c	$2$	$2$	$2$	$0.481$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-241}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-\beta q^{7}-q^{8}+q^{9}+\cdots\)
3856.1.e.a	$3856$	$1$	3856.e	964.c	$2$	$2$	$2$	$1.924$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-241}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{7}+q^{9}+\beta q^{11}-\beta q^{19}+\beta q^{23}+\cdots\)
3856.1.e.b	$3856$	$1$	3856.e	964.c	$2$	$4$	$4$	$1.924$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-241}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{2}q^{5}-\beta _{1}q^{7}+q^{9}+(-\beta _{1}-\beta _{3})q^{11}+\cdots\)