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Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
696.1.n.a	$696$	$1$	696.n	696.n	$2$	$1$	$1$	$0.347$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
696.1.n.b	$696$	$1$	696.n	696.n	$2$	$1$	$1$	$0.347$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(-1\)	$1$		\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
696.1.n.c	$696$	$1$	696.n	696.n	$2$	$1$	$1$	$0.347$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
696.1.n.d	$696$	$1$	696.n	696.n	$2$	$1$	$1$	$0.347$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2784.1.n.a	$2784$	$1$	2784.n	696.n	$2$	$1$	$1$	$1.389$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}-q^{5}+q^{7}+q^{9}+q^{15}-q^{17}+\cdots\)
2784.1.n.b	$2784$	$1$	2784.n	696.n	$2$	$1$	$1$	$1.389$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(1\)	$1$		\(q-q^{3}+q^{5}+q^{7}+q^{9}-q^{15}+q^{17}+\cdots\)
2784.1.n.c	$2784$	$1$	2784.n	696.n	$2$	$1$	$1$	$1.389$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{3}-q^{5}+q^{7}+q^{9}-q^{15}+q^{17}+\cdots\)
2784.1.n.d	$2784$	$1$	2784.n	696.n	$2$	$1$	$1$	$1.389$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-174}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{5}+q^{7}+q^{9}+q^{15}-q^{17}+\cdots\)
3480.1.g.e	$3480$	$1$	3480.g	3480.g	$2$	$2$	$2$	$1.737$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots\)
3480.1.g.f	$3480$	$1$	3480.g	3480.g	$2$	$2$	$2$	$1.737$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)
3480.1.g.g	$3480$	$1$	3480.g	3480.g	$2$	$4$	$4$	$1.737$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-174}) \)	None		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{3}q^{3}-q^{4}+\zeta_{12}^{4}q^{5}+\cdots\)
3480.1.g.h	$3480$	$1$	3480.g	3480.g	$2$	$4$	$4$	$1.737$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-174}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{12}^{3}q^{2}-\zeta_{12}^{3}q^{3}-q^{4}-\zeta_{12}^{4}q^{5}+\cdots\)