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Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
692.1.i.a	$692$	$1$	692.i	692.i	$86$	$42$	$1$	$0.345$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{86}^{11}q^{2}+\zeta_{86}^{22}q^{4}+(-\zeta_{86}^{5}+\cdots)q^{5}+\cdots\)
1847.1.b.a	$1847$	$1$	1847.b	1847.b	$2$	$21$	$21$	$0.922$	\(\Q(\zeta_{86})^+\)	$D_{43}$	\(\Q(\sqrt{-1847}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{7}q^{2}-\beta _{13}q^{3}+(1+\beta _{14})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)
2595.1.x.a	$2595$	$1$	2595.x	2595.x	$86$	$42$	$1$	$1.295$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-\zeta_{86}^{23}+\zeta_{86}^{24})q^{2}-\zeta_{86}^{11}q^{3}+\cdots\)
2595.1.x.b	$2595$	$1$	2595.x	2595.x	$86$	$42$	$1$	$1.295$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(2\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{86}^{23}-\zeta_{86}^{24})q^{2}+\zeta_{86}^{11}q^{3}+\cdots\)
2663.1.b.a	$2663$	$1$	2663.b	2663.b	$2$	$21$	$21$	$1.329$	\(\Q(\zeta_{86})^+\)	$D_{43}$	\(\Q(\sqrt{-2663}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{7}q^{2}+\beta _{20}q^{3}+(1+\beta _{14})q^{4}+(-\beta _{13}+\cdots)q^{6}+\cdots\)
3017.1.t.a	$3017$	$1$	3017.t	3017.t	$86$	$42$	$1$	$1.506$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{86}^{5}+\zeta_{86}^{22})q^{2}+(-\zeta_{86}+\zeta_{86}^{10}+\cdots)q^{4}+\cdots\)
3099.1.t.a	$3099$	$1$	3099.t	3099.t	$86$	$42$	$1$	$1.547$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{86}^{16}q^{3}-\zeta_{86}^{15}q^{4}+(-\zeta_{86}^{9}+\cdots)q^{7}+\cdots\)
3631.1.b.a	$3631$	$1$	3631.b	3631.b	$2$	$21$	$21$	$1.812$	\(\Q(\zeta_{86})^+\)	$D_{43}$	\(\Q(\sqrt{-3631}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{7}q^{2}+(1+\beta _{14})q^{4}-\beta _{9}q^{5}+\beta _{10}q^{7}+\cdots\)
3873.1.t.a	$3873$	$1$	3873.t	3873.t	$86$	$42$	$1$	$1.933$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(41\)	$1$		\(q+\zeta_{86}^{16}q^{3}+\zeta_{86}^{6}q^{4}+(1+\zeta_{86}^{10}+\cdots)q^{7}+\cdots\)
3979.1.n.a	$3979$	$1$	3979.n	3979.n	$86$	$42$	$1$	$1.986$	\(\Q(\zeta_{86})\)	$D_{43}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-2\)	\(41\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{86}^{14}-\zeta_{86}^{41})q^{2}+(1-\zeta_{86}^{23}+\cdots)q^{3}+\cdots\)