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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
932.1.d.a	$932$	$1$	932.d	932.d	$2$	$1$	$1$	$0.465$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-233}) \)	\(\Q(\sqrt{233}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}-q^{9}+2q^{13}+q^{16}+\cdots\)
932.1.d.b	$932$	$1$	932.d	932.d	$2$	$1$	$1$	$0.465$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-233}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+2q^{11}+\cdots\)
932.1.d.c	$932$	$1$	932.d	932.d	$2$	$1$	$1$	$0.465$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-233}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{11}+\cdots\)
932.1.d.d	$932$	$1$	932.d	932.d	$2$	$2$	$2$	$0.465$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-233}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-q^{8}+2q^{9}+\cdots\)
3728.1.g.a	$3728$	$1$	3728.g	932.d	$2$	$2$	$2$	$1.861$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-233}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{3}+q^{9}-\beta q^{11}-2q^{13}+q^{25}+\cdots\)
3728.1.g.b	$3728$	$1$	3728.g	932.d	$2$	$4$	$4$	$1.861$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-233}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(\beta _{1}+\beta _{3})q^{11}+\cdots\)