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Results (1-50 of 170 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
666.2.a.a	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}-q^{13}+\cdots\)
666.2.a.b	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{7}-q^{8}-q^{11}+q^{13}+\cdots\)
666.2.a.c	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+2q^{5}-3q^{7}-q^{8}-2q^{10}+\cdots\)
666.2.a.d	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-4\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-4q^{5}-q^{7}+q^{8}-4q^{10}+\cdots\)
666.2.a.e	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}-3q^{7}+q^{8}-2q^{10}+\cdots\)
666.2.a.f	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+4q^{11}+\cdots\)
666.2.a.g	$666$	$2$	666.a	1.a	$1$	$1$	$1$	$5.318$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}+3q^{7}+q^{8}+4q^{10}+\cdots\)
666.2.a.h	$666$	$2$	666.a	1.a	$1$	$2$	$2$	$5.318$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-4\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+(1-\beta )q^{7}-q^{8}+\cdots\)
666.2.a.i	$666$	$2$	666.a	1.a	$1$	$2$	$2$	$5.318$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-1\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1-3\beta )q^{5}-2\beta q^{7}-q^{8}+\cdots\)
666.2.a.j	$666$	$2$	666.a	1.a	$1$	$2$	$2$	$5.318$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta q^{5}+(2-2\beta )q^{7}+q^{8}+\cdots\)
666.2.a.k	$666$	$2$	666.a	1.a	$1$	$2$	$2$	$5.318$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+2q^{5}+(1-\beta )q^{7}+q^{8}+\cdots\)
666.2.c.a	$666$	$2$	666.c	37.b	$2$	$2$	$2$	$5.318$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-q^{4}+2iq^{5}+3q^{7}-iq^{8}+\cdots\)
666.2.c.b	$666$	$2$	666.c	37.b	$2$	$4$	$4$	$5.318$	\(\Q(i, \sqrt{21})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-q^{4}+(\beta _{1}-\beta _{2})q^{5}-2q^{7}+\cdots\)
666.2.c.c	$666$	$2$	666.c	37.b	$2$	$4$	$4$	$5.318$	\(\Q(i, \sqrt{65})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-q^{4}+2\beta _{2}q^{5}+(-1+\beta _{3})q^{7}+\cdots\)
666.2.c.d	$666$	$2$	666.c	37.b	$2$	$4$	$4$	$5.318$	\(\Q(i, \sqrt{21})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}-q^{4}+q^{7}+\beta _{1}q^{8}-\beta _{3}q^{11}+\cdots\)
666.2.e.a	$666$	$2$	666.e	9.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(-1\)	\(0\)	\(-2\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
666.2.e.b	$666$	$2$	666.e	9.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(3\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
666.2.e.c	$666$	$2$	666.e	9.c	$3$	$12$	$6$	$5.318$	12.0.\(\cdots\).1	None		$2$	$0$	\(-6\)	\(2\)	\(5\)	\(5\)		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{9}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{11})q^{3}+\cdots\)
666.2.e.d	$666$	$2$	666.e	9.c	$3$	$14$	$7$	$5.318$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	None		$2$	$0$	\(7\)	\(-1\)	\(-3\)	\(3\)		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\beta _{10})q^{2}+\beta _{2}q^{3}+\beta _{10}q^{4}-\beta _{12}q^{5}+\cdots\)
666.2.e.e	$666$	$2$	666.e	9.c	$3$	$20$	$10$	$5.318$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(-10\)	\(2\)	\(-1\)	\(-1\)		$3^{4}$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{11}q^{2}+\beta _{7}q^{3}+(-1+\beta _{11})q^{4}+\cdots\)
666.2.e.f	$666$	$2$	666.e	9.c	$3$	$22$	$11$	$5.318$		None		$2$	$0$	\(11\)	\(-4\)	\(1\)	\(-5\)			$\mathrm{SU}(2)[C_{3}]$
666.2.f.a	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(-1\)	\(0\)	\(-4\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-4\zeta_{6}q^{5}+\cdots\)
666.2.f.b	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+q^{8}+\cdots\)
666.2.f.c	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(0\)	\(1\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-2\zeta_{6}q^{7}+\cdots\)
666.2.f.d	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(0\)	\(3\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots\)
666.2.f.e	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{7}-q^{8}+\cdots\)
666.2.f.f	$666$	$2$	666.f	37.c	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(0\)	\(4\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+4\zeta_{6}q^{5}-3\zeta_{6}q^{7}+\cdots\)
666.2.f.g	$666$	$2$	666.f	37.c	$3$	$4$	$2$	$5.318$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None		$2$	$0$	\(-2\)	\(0\)	\(1\)	\(-3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
666.2.f.h	$666$	$2$	666.f	37.c	$3$	$4$	$2$	$5.318$	\(\Q(\sqrt{-3}, \sqrt{11})\)	None		$2$	$0$	\(-2\)	\(0\)	\(2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
666.2.f.i	$666$	$2$	666.f	37.c	$3$	$4$	$2$	$5.318$	\(\Q(\sqrt{-3}, \sqrt{11})\)	None		$2$	$0$	\(2\)	\(0\)	\(-2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
666.2.f.j	$666$	$2$	666.f	37.c	$3$	$6$	$3$	$5.318$	6.0.4406832.1	None		$2$	$0$	\(3\)	\(0\)	\(1\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\beta _{3})q^{2}+\beta _{3}q^{4}-\beta _{5}q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
666.2.g.a	$666$	$2$	666.g	333.g	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(3\)	\(-2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\zeta_{6}q^{2}+(1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
666.2.g.b	$666$	$2$	666.g	333.g	$3$	$36$	$18$	$5.318$		None		$2$	$0$	\(18\)	\(-2\)	\(4\)	\(-8\)			$\mathrm{SU}(2)[C_{3}]$
666.2.g.c	$666$	$2$	666.g	333.g	$3$	$38$	$19$	$5.318$		None		$2$	$0$	\(-19\)	\(1\)	\(2\)	\(-2\)			$\mathrm{SU}(2)[C_{3}]$
666.2.h.a	$666$	$2$	666.h	333.h	$3$	$2$	$1$	$5.318$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(4\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{2}+(-1+2\zeta_{6})q^{3}+q^{4}+2q^{5}+\cdots\)
666.2.h.b	$666$	$2$	666.h	333.h	$3$	$36$	$18$	$5.318$		None		$2$	$0$	\(-36\)	\(-2\)	\(-8\)	\(4\)			$\mathrm{SU}(2)[C_{3}]$
666.2.h.c	$666$	$2$	666.h	333.h	$3$	$38$	$19$	$5.318$		None		$2$	$0$	\(38\)	\(-2\)	\(-4\)	\(1\)			$\mathrm{SU}(2)[C_{3}]$
666.2.j.a	$666$	$2$	666.j	111.g	$4$	$4$	$2$	$5.318$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-2+2\zeta_{8}^{2})q^{5}+\cdots\)
666.2.j.b	$666$	$2$	666.j	111.g	$4$	$4$	$2$	$5.318$	\(\Q(\zeta_{8})\)	None		$4$	$1$	\(0\)	\(0\)	\(0\)	\(-16\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-4q^{7}-\zeta_{8}^{3}q^{8}+\cdots\)
666.2.j.c	$666$	$2$	666.j	111.g	$4$	$4$	$2$	$5.318$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(2+2\zeta_{8}^{2})q^{5}+\cdots\)
666.2.j.d	$666$	$2$	666.j	111.g	$4$	$8$	$4$	$5.318$	8.0.40960000.1	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{2}+\beta _{3}q^{4}+(1-\beta _{2}+\beta _{7})q^{7}+\cdots\)
666.2.k.a	$666$	$2$	666.k	333.k	$6$	$76$	$38$	$5.318$		None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
666.2.q.a	$666$	$2$	666.q	333.q	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+(-1+2\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
666.2.q.b	$666$	$2$	666.q	333.q	$6$	$72$	$36$	$5.318$		None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{6}]$
666.2.s.a	$666$	$2$	666.s	37.e	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
666.2.s.b	$666$	$2$	666.s	37.e	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{3}q^{8}+\cdots\)
666.2.s.c	$666$	$2$	666.s	37.e	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-3\zeta_{12}+3\zeta_{12}^{3})q^{5}+\cdots\)
666.2.s.d	$666$	$2$	666.s	37.e	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-\zeta_{12}^{3})q^{5}+\cdots\)
666.2.s.e	$666$	$2$	666.s	37.e	$6$	$4$	$2$	$5.318$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}^{2})q^{5}+\cdots\)
666.2.s.f	$666$	$2$	666.s	37.e	$6$	$8$	$4$	$5.318$	8.0.303595776.1	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{5}q^{2}+(1+\beta _{4})q^{4}+(-2\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots\)