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Results (33 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
862.2.a.a	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}+q^{4}-q^{5}+3q^{6}-2q^{7}+\cdots\)
862.2.a.b	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots\)
862.2.a.c	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+2q^{7}+\cdots\)
862.2.a.d	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
862.2.a.e	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}+4q^{7}+q^{8}-3q^{9}+\cdots\)
862.2.a.f	$862$	$2$	862.a	1.a	$1$	$1$	$1$	$6.883$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+2q^{7}+\cdots\)
862.2.a.g	$862$	$2$	862.a	1.a	$1$	$2$	$2$	$6.883$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+(1+\cdots)q^{7}+\cdots\)
862.2.a.h	$862$	$2$	862.a	1.a	$1$	$5$	$5$	$6.883$	5.5.181057.1	None	✓	$1$	$0$	\(5\)	\(5\)	\(3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{2})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots\)
862.2.a.i	$862$	$2$	862.a	1.a	$1$	$6$	$6$	$6.883$	6.6.11017801.1	None	✓	$1$	$1$	\(-6\)	\(-2\)	\(-2\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{2}+\beta _{4}-\beta _{5})q^{5}+\cdots\)
862.2.a.j	$862$	$2$	862.a	1.a	$1$	$6$	$6$	$6.883$	6.6.9783113.1	None	✓	$1$	$1$	\(6\)	\(-8\)	\(-8\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{2}+\beta _{4})q^{3}+q^{4}+(-2+\cdots)q^{5}+\cdots\)
862.2.a.k	$862$	$2$	862.a	1.a	$1$	$10$	$10$	$6.883$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(4\)	\(4\)	\(-3\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{5}q^{3}+q^{4}+(-\beta _{7}-\beta _{9})q^{5}+\cdots\)
862.2.c.a	$862$	$2$	862.c	431.c	$5$	$4$	$1$	$6.883$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(4\)	\(0\)	\(-1\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(-1-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{3}+\cdots\)
862.2.c.b	$862$	$2$	862.c	431.c	$5$	$4$	$1$	$6.883$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(4\)	\(0\)	\(-1\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(1+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{3}+q^{4}+\cdots\)
862.2.c.c	$862$	$2$	862.c	431.c	$5$	$4$	$1$	$6.883$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(4\)	\(0\)	\(3\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(-1-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{3}+\cdots\)
862.2.c.d	$862$	$2$	862.c	431.c	$5$	$4$	$1$	$6.883$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(4\)	\(4\)	\(3\)	\(-7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(2+2\zeta_{10}^{2}-2\zeta_{10}^{3})q^{3}+q^{4}+\cdots\)
862.2.c.e	$862$	$2$	862.c	431.c	$5$	$8$	$2$	$6.883$	8.0.13140625.1	None		$2$	$1$	\(8\)	\(-10\)	\(-11\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(-1-\beta _{5})q^{3}+q^{4}+(-3-\beta _{2}+\cdots)q^{5}+\cdots\)
862.2.c.f	$862$	$2$	862.c	431.c	$5$	$12$	$3$	$6.883$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(12\)	\(18\)	\(-2\)	\(14\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+q^{2}+(1+\beta _{5}-\beta _{6})q^{3}+q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots\)
862.2.c.g	$862$	$2$	862.c	431.c	$5$	$36$	$9$	$6.883$		None		$2$	$0$	\(36\)	\(-12\)	\(9\)	\(-5\)			$\mathrm{SU}(2)[C_{5}]$
862.2.c.h	$862$	$2$	862.c	431.c	$5$	$72$	$18$	$6.883$		None		$2$	$0$	\(-72\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{5}]$
862.2.e.a	$862$	$2$	862.e	431.e	$43$	$756$	$18$	$6.883$		None		$2$	$0$	\(-18\)	\(0\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{43}]$
862.2.e.b	$862$	$2$	862.e	431.e	$43$	$756$	$18$	$6.883$		None		$2$	$0$	\(18\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{43}]$
862.2.g.a	$862$	$2$	862.g	431.g	$215$	$3024$	$18$	$6.883$		None		$2$	$0$	\(-72\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{215}]$
862.2.g.b	$862$	$2$	862.g	431.g	$215$	$3024$	$18$	$6.883$		None		$2$	$0$	\(72\)	\(0\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{215}]$
862.3.b.a	$862$	$3$	862.b	431.b	$2$	$72$	$72$	$23.488$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
862.4.a.a	$862$	$4$	862.a	1.a	$1$	$2$	$2$	$50.860$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(4\)	\(4\)	\(-2\)	\(-12\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+(2+3\beta )q^{3}+4q^{4}+(-1-6\beta )q^{5}+\cdots\)
862.4.a.b	$862$	$4$	862.a	1.a	$1$	$24$	$24$	$50.860$		None	✓	$1$	$1$	\(48\)	\(-34\)	\(-48\)	\(-77\)	$-$		$\mathrm{SU}(2)$
862.4.a.c	$862$	$4$	862.a	1.a	$1$	$26$	$26$	$50.860$		None	✓	$1$	$1$	\(-52\)	\(-12\)	\(-20\)	\(19\)	$-$		$\mathrm{SU}(2)$
862.4.a.d	$862$	$4$	862.a	1.a	$1$	$28$	$28$	$50.860$		None	✓	$1$	$0$	\(-56\)	\(12\)	\(20\)	\(5\)	$+$		$\mathrm{SU}(2)$
862.4.a.e	$862$	$4$	862.a	1.a	$1$	$28$	$28$	$50.860$		None	✓	$1$	$0$	\(56\)	\(30\)	\(50\)	\(65\)	$+$		$\mathrm{SU}(2)$
862.6.a.a	$862$	$6$	862.a	1.a	$1$	$44$	$44$	$138.251$		None	✓	$1$	$1$	\(-176\)	\(-36\)	\(-100\)	\(-11\)	$+$		$\mathrm{SU}(2)$
862.6.a.b	$862$	$6$	862.a	1.a	$1$	$44$	$44$	$138.251$		None	✓	$1$	$1$	\(176\)	\(-90\)	\(-250\)	\(-479\)	$+$		$\mathrm{SU}(2)$
862.6.a.c	$862$	$6$	862.a	1.a	$1$	$46$	$46$	$138.251$		None	✓	$1$	$0$	\(-184\)	\(36\)	\(100\)	\(-109\)	$-$		$\mathrm{SU}(2)$
862.6.a.d	$862$	$6$	862.a	1.a	$1$	$46$	$46$	$138.251$		None	✓	$1$	$0$	\(184\)	\(90\)	\(250\)	\(599\)	$-$		$\mathrm{SU}(2)$