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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1172.1.d.a	$1172$	$1$	1172.d	1172.d	$2$	$1$	$1$	$0.585$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-293}) \)	None	✓	✓			1172.1.d.a	$2$	$0$	\(-1\)	\(1\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
1172.1.d.b	$1172$	$1$	1172.d	1172.d	$2$	$1$	$1$	$0.585$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-293}) \)	None	✓	✓			1172.1.d.a	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1172.1.d.c	$1172$	$1$	1172.d	1172.d	$2$	$3$	$3$	$0.585$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-293}) \)	None	✓	✓			1172.1.d.c	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1172.1.d.d	$1172$	$1$	1172.d	1172.d	$2$	$3$	$3$	$0.585$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-293}) \)	None	✓	✓			1172.1.d.c	$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)