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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3647.1.d.a	$3647$	$1$	3647.d	3647.d	$2$	$1$	$1$	$1.820$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{2}-q^{3}+q^{6}+q^{7}+q^{8}+2q^{11}+\cdots\)
3647.1.d.b	$3647$	$1$	3647.d	3647.d	$2$	$1$	$1$	$1.820$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+2q^{11}+\cdots\)
3647.1.d.c	$3647$	$1$	3647.d	3647.d	$2$	$3$	$3$	$1.820$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{6}+\cdots\)
3647.1.d.d	$3647$	$1$	3647.d	3647.d	$2$	$3$	$3$	$1.820$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
3647.1.d.e	$3647$	$1$	3647.d	3647.d	$2$	$9$	$9$	$1.820$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(9\)	$1$		\(q+\beta _{8}q^{2}-\beta _{1}q^{3}+(1-\beta _{2}+\beta _{7})q^{4}+\cdots\)
3647.1.d.f	$3647$	$1$	3647.d	3647.d	$2$	$9$	$9$	$1.820$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-3647}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-9\)	$1$		\(q+\beta _{8}q^{2}+\beta _{1}q^{3}+(1-\beta _{2}+\beta _{7})q^{4}+\cdots\)