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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1604.1.y.a	$1604$	$1$	1604.y	1604.y	$100$	$40$	$1$	$0.801$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)	$1$		\(q+\zeta_{100}^{49}q^{2}-\zeta_{100}^{48}q^{4}+(-\zeta_{100}^{10}+\cdots)q^{5}+\cdots\)
1803.1.bk.a	$1803$	$1$	1803.bk	1803.ak	$100$	$40$	$1$	$0.900$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{100}^{48}q^{3}-\zeta_{100}^{18}q^{4}+(\zeta_{100}^{11}+\cdots)q^{7}+\cdots\)
2020.1.ca.a	$2020$	$1$	2020.ca	2020.ba	$100$	$40$	$1$	$1.008$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{100}^{22}q^{2}+\zeta_{100}^{44}q^{4}-\zeta_{100}^{49}q^{5}+\cdots\)
2020.1.cd.a	$2020$	$1$	2020.cd	2020.bd	$100$	$40$	$1$	$1.008$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{100}^{41}q^{2}-\zeta_{100}^{32}q^{4}-\zeta_{100}^{21}q^{5}+\cdots\)
2807.1.bp.a	$2807$	$1$	2807.bp	2807.ap	$100$	$40$	$1$	$1.401$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{100}^{21}+\zeta_{100}^{35})q^{2}+(\zeta_{100}^{6}-\zeta_{100}^{20}+\cdots)q^{4}+\cdots\)
3208.1.bz.a	$3208$	$1$	3208.bz	3208.az	$100$	$40$	$1$	$1.601$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{100}^{23}q^{2}+(\zeta_{100}^{26}-\zeta_{100}^{45})q^{3}+\cdots\)
3232.1.ct.a	$3232$	$1$	3232.ct	101.i	$100$	$40$	$1$	$1.613$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{100}^{24}+\zeta_{100}^{32})q^{5}-\zeta_{100}^{11}q^{9}+\cdots\)
3603.1.bq.a	$3603$	$1$	3603.bq	3603.aq	$100$	$40$	$1$	$1.798$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{100}^{8}q^{3}+\zeta_{100}^{24}q^{4}+(-\zeta_{100}^{23}+\cdots)q^{7}+\cdots\)
3636.1.cf.a	$3636$	$1$	3636.cf	1212.ag	$100$	$80$	$2$	$1.815$	\(\Q(\zeta_{200})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{200}q^{2}+\zeta_{200}^{2}q^{4}+(\zeta_{200}^{67}+\zeta_{200}^{81}+\cdots)q^{5}+\cdots\)
4000.1.cq.a	$4000$	$1$	4000.cq	125.i	$100$	$40$	$1$	$1.996$	\(\Q(\zeta_{100})\)	$D_{100}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{100}^{13}q^{5}-\zeta_{100}^{49}q^{9}+(\zeta_{100}^{2}-\zeta_{100}^{21}+\cdots)q^{13}+\cdots\)