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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3223.1.d.a	$3223$	$1$	3223.d	3223.d	$2$	$1$	$1$	$1.608$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}-q^{7}+q^{8}+q^{9}+q^{11}-q^{13}+\cdots\)
3223.1.d.b	$3223$	$1$	3223.d	3223.d	$2$	$1$	$1$	$1.608$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{7}-q^{8}+q^{9}-q^{11}+q^{13}+\cdots\)
3223.1.d.d	$3223$	$1$	3223.d	3223.d	$2$	$2$	$2$	$1.608$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
3223.1.d.e	$3223$	$1$	3223.d	3223.d	$2$	$2$	$2$	$1.608$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+\beta q^{7}+q^{8}+\cdots\)
3223.1.d.g	$3223$	$1$	3223.d	3223.d	$2$	$4$	$4$	$1.608$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{2}+\beta _{3})q^{7}+\cdots\)
3223.1.d.h	$3223$	$1$	3223.d	3223.d	$2$	$4$	$4$	$1.608$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3223}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{2}-\beta _{3})q^{7}+\cdots\)