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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2167.1.d.a	$2167$	$1$	2167.d	2167.d	$2$	$1$	$1$	$1.081$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2167}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{8}+q^{9}+q^{11}-q^{13}-q^{16}+\cdots\)
2167.1.d.b	$2167$	$1$	2167.d	2167.d	$2$	$1$	$1$	$1.081$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2167}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{8}+q^{9}-q^{11}+q^{13}-q^{16}+\cdots\)
2167.1.d.c	$2167$	$1$	2167.d	2167.d	$2$	$3$	$3$	$1.081$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2167}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{1})q^{8}+\cdots\)
2167.1.d.d	$2167$	$1$	2167.d	2167.d	$2$	$3$	$3$	$1.081$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2167}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{1})q^{8}+\cdots\)