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Results (20 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
617.2.a.a	$617$	$2$	617.a	1.a	$1$	$23$	$23$	$4.927$		None	✓	✓	✓	✓	617.2.a.a	$1$	$1$	\(-6\)	\(-13\)	\(-6\)	\(-37\)	$+$		$\mathrm{SU}(2)$
617.2.a.b	$617$	$2$	617.a	1.a	$1$	$28$	$28$	$4.927$		None	✓	✓	✓	✓	617.2.a.b	$1$	$0$	\(3\)	\(11\)	\(2\)	\(39\)	$-$		$\mathrm{SU}(2)$
617.2.b.a	$617$	$2$	617.b	617.b	$2$	$50$	$50$	$4.927$		None		✓	✓	✓	617.2.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{2}]$
617.2.c.a	$617$	$2$	617.c	617.c	$4$	$2$	$1$	$4.927$	\(\Q(\sqrt{-1}) \)	None		✓			617.2.c.a	$2$	$0$	\(2\)	\(-2\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+(-1-i)q^{3}-q^{4}+(1+i)q^{5}+\cdots\)
617.2.c.b	$617$	$2$	617.c	617.c	$4$	$100$	$50$	$4.927$		None		✓	✓		617.2.c.b	$2$	$0$	\(-8\)	\(4\)	\(2\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
617.2.d.a	$617$	$2$	617.d	617.d	$7$	$300$	$50$	$4.927$		None		✓	✓	✓	617.2.d.a	$2$	$0$	\(-1\)	\(-1\)	\(-18\)	\(-1\)			$\mathrm{SU}(2)[C_{7}]$
617.2.f.a	$617$	$2$	617.f	617.f	$11$	$500$	$50$	$4.927$		None		✓	✓	✓	617.2.f.a	$2$	$0$	\(-5\)	\(-5\)	\(-1\)	\(-5\)			$\mathrm{SU}(2)[C_{11}]$
617.2.g.a	$617$	$2$	617.g	617.g	$14$	$300$	$50$	$4.927$		None		✓	✓	✓	617.2.g.a	$2$	$0$	\(-7\)	\(-7\)	\(14\)	\(-9\)			$\mathrm{SU}(2)[C_{14}]$
617.2.h.a	$617$	$2$	617.h	617.h	$22$	$500$	$50$	$4.927$		None		✓	✓	✓	617.2.h.a	$2$	$0$	\(-11\)	\(-11\)	\(-11\)	\(-13\)			$\mathrm{SU}(2)[C_{22}]$
617.2.i.a	$617$	$2$	617.i	617.i	$28$	$612$	$51$	$4.927$		None		✓	✓	✓	617.2.i.a	$2$	$0$	\(-8\)	\(-16\)	\(-18\)	\(-14\)			$\mathrm{SU}(2)[C_{28}]$
617.2.j.a	$617$	$2$	617.j	617.j	$44$	$1020$	$51$	$4.927$		None		✓	✓	✓	617.2.j.a	$2$	$0$	\(-16\)	\(-24\)	\(-26\)	\(-22\)			$\mathrm{SU}(2)[C_{44}]$
617.2.l.a	$617$	$2$	617.l	617.l	$77$	$3000$	$50$	$4.927$		None		✓	✓	✓	617.2.l.a	$2$	$0$	\(-65\)	\(-65\)	\(-48\)	\(-65\)			$\mathrm{SU}(2)[C_{77}]$
617.2.n.a	$617$	$2$	617.n	617.n	$154$	$3000$	$50$	$4.927$		None		✓	✓	✓	617.2.n.a	$2$	$0$	\(-59\)	\(-59\)	\(-80\)	\(-57\)			$\mathrm{SU}(2)[C_{154}]$
617.2.o.a	$617$	$2$	617.o	617.o	$308$	$6120$	$51$	$4.927$		None		✓	✓	✓	617.2.o.a	$2$	$0$	\(-124\)	\(-116\)	\(-114\)	\(-118\)			$\mathrm{SU}(2)[C_{308}]$
617.4.a.a	$617$	$4$	617.a	1.a	$1$	$74$	$74$	$36.404$		None	✓	✓	✓	✓	617.4.a.a	$1$	$1$	\(-12\)	\(-42\)	\(-40\)	\(-290\)	$-$		$\mathrm{SU}(2)$
617.4.a.b	$617$	$4$	617.a	1.a	$1$	$80$	$80$	$36.404$		None	✓	✓	✓	✓	617.4.a.b	$1$	$0$	\(12\)	\(42\)	\(30\)	\(298\)	$+$		$\mathrm{SU}(2)$
617.6.a.a	$617$	$6$	617.a	1.a	$1$	$125$	$125$	$98.957$		None	✓	✓	✓	✓	617.6.a.a	$1$	$1$	\(-24\)	\(-117\)	\(-150\)	\(-2049\)	$+$		$\mathrm{SU}(2)$
617.6.a.b	$617$	$6$	617.a	1.a	$1$	$131$	$131$	$98.957$		None	✓	✓	✓	✓	617.6.a.b	$1$	$0$	\(24\)	\(135\)	\(200\)	\(2067\)	$-$		$\mathrm{SU}(2)$
617.8.a.a	$617$	$8$	617.a	1.a	$1$	$177$	$177$	$192.742$		None	✓	✓	✓	✓	617.8.a.a	$1$	$1$	\(-48\)	\(-405\)	\(-1000\)	\(-14261\)	$-$		$\mathrm{SU}(2)$
617.8.a.b	$617$	$8$	617.a	1.a	$1$	$183$	$183$	$192.742$		None	✓	✓	✓	✓	617.8.a.b	$1$	$0$	\(48\)	\(351\)	\(750\)	\(14551\)	$+$		$\mathrm{SU}(2)$