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Results (1-50 of 136 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
222.2.a.a	$222$	$2$	222.a	1.a	$1$	$1$	$1$	$1.773$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+3q^{7}+\cdots\)
222.2.a.b	$222$	$2$	222.a	1.a	$1$	$1$	$1$	$1.773$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots\)
222.2.a.c	$222$	$2$	222.a	1.a	$1$	$1$	$1$	$1.773$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(4\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}-q^{7}+\cdots\)
222.2.a.d	$222$	$2$	222.a	1.a	$1$	$1$	$1$	$1.773$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}+3q^{7}+q^{8}+\cdots\)
222.2.a.e	$222$	$2$	222.a	1.a	$1$	$1$	$1$	$1.773$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
222.2.c.a	$222$	$2$	222.c	37.b	$2$	$2$	$2$	$1.773$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+q^{3}-q^{4}+2iq^{5}+iq^{6}+\cdots\)
222.2.c.b	$222$	$2$	222.c	37.b	$2$	$4$	$4$	$1.773$	\(\Q(i, \sqrt{65})\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}-q^{3}-q^{4}-2\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
222.2.e.a	$222$	$2$	222.e	37.c	$3$	$2$	$1$	$1.773$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(1\)	\(0\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+\cdots\)
222.2.e.b	$222$	$2$	222.e	37.c	$3$	$2$	$1$	$1.773$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+\cdots\)
222.2.e.c	$222$	$2$	222.e	37.c	$3$	$4$	$2$	$1.773$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	None		$2$	$0$	\(2\)	\(2\)	\(-1\)	\(-3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\beta _{1})q^{2}+\beta _{1}q^{3}-\beta _{1}q^{4}-\beta _{3}q^{5}+\cdots\)
222.2.g.a	$222$	$2$	222.g	111.g	$4$	$28$	$14$	$1.773$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
222.2.j.a	$222$	$2$	222.j	37.e	$6$	$4$	$2$	$1.773$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}+(\zeta_{12}+\cdots)q^{5}+\cdots\)
222.2.j.b	$222$	$2$	222.j	37.e	$6$	$8$	$4$	$1.773$	8.0.303595776.1	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{3}q^{2}-\beta _{4}q^{3}-\beta _{4}q^{4}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
222.2.k.a	$222$	$2$	222.k	37.f	$9$	$6$	$1$	$1.773$	\(\Q(\zeta_{18})\)	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{9}]$	\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
222.2.k.b	$222$	$2$	222.k	37.f	$9$	$6$	$1$	$1.773$	\(\Q(\zeta_{18})\)	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{9}]$	\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
222.2.k.c	$222$	$2$	222.k	37.f	$9$	$6$	$1$	$1.773$	\(\Q(\zeta_{18})\)	None		$2$	$0$	\(0\)	\(0\)	\(9\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{9}]$	\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
222.2.k.d	$222$	$2$	222.k	37.f	$9$	$6$	$1$	$1.773$	\(\Q(\zeta_{18})\)	None		$2$	$0$	\(0\)	\(0\)	\(9\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{9}]$	\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
222.2.k.e	$222$	$2$	222.k	37.f	$9$	$12$	$2$	$1.773$	12.0.\(\cdots\).1	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(-9\)		$3$	$\mathrm{SU}(2)[C_{9}]$	\(q-\beta _{4}q^{2}-\beta _{2}q^{3}-\beta _{7}q^{4}+(-\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
222.2.m.a	$222$	$2$	222.m	111.m	$12$	$56$	$14$	$1.773$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
222.2.n.a	$222$	$2$	222.n	37.h	$18$	$24$	$4$	$1.773$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{18}]$
222.2.n.b	$222$	$2$	222.n	37.h	$18$	$24$	$4$	$1.773$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{18}]$
222.2.q.a	$222$	$2$	222.q	111.q	$36$	$144$	$12$	$1.773$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
222.3.b.a	$222$	$3$	222.b	3.b	$2$	$24$	$24$	$6.049$		None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
222.3.d.a	$222$	$3$	222.d	111.d	$2$	$24$	$24$	$6.049$		None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{2}]$
222.3.f.a	$222$	$3$	222.f	37.d	$4$	$4$	$2$	$6.049$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(-4\)	\(0\)	\(0\)	\(8\)		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+\zeta_{12})q^{2}-\zeta_{12}^{2}q^{3}-2\zeta_{12}q^{4}+\cdots\)
222.3.f.b	$222$	$3$	222.f	37.d	$4$	$12$	$6$	$6.049$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-12\)	\(0\)	\(0\)	\(8\)		$2^{8}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1-\beta _{4})q^{2}-\beta _{5}q^{3}+2\beta _{4}q^{4}+\cdots\)
222.3.f.c	$222$	$3$	222.f	37.d	$4$	$12$	$6$	$6.049$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(12\)	\(0\)	\(-12\)	\(-16\)		$2^{8}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+\beta _{3})q^{2}+\beta _{2}q^{3}+2\beta _{3}q^{4}+(-1+\cdots)q^{5}+\cdots\)
222.3.h.a	$222$	$3$	222.h	111.h	$6$	$48$	$24$	$6.049$		None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{6}]$
222.3.i.a	$222$	$3$	222.i	111.i	$6$	$4$	$2$	$6.049$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(14\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{1}q^{2}+(2\beta _{1}+\beta _{2}-2\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots\)
222.3.i.b	$222$	$3$	222.i	111.i	$6$	$44$	$22$	$6.049$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{6}]$
222.3.l.a	$222$	$3$	222.l	37.g	$12$	$12$	$3$	$6.049$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-6\)	\(-18\)	\(6\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1-\beta _{2}+\beta _{7})q^{2}+(-2+\beta _{7})q^{3}+\cdots\)
222.3.l.b	$222$	$3$	222.l	37.g	$12$	$12$	$3$	$6.049$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(-6\)	\(18\)	\(-6\)	\(14\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\beta _{4}-\beta _{5})q^{2}+(1+\beta _{4})q^{3}+2\beta _{6}q^{4}+\cdots\)
222.3.l.c	$222$	$3$	222.l	37.g	$12$	$16$	$4$	$6.049$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(8\)	\(-24\)	\(-6\)	\(-2\)		$3^{4}$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{1})q^{3}+2\beta _{4}q^{4}+\cdots\)
222.3.l.d	$222$	$3$	222.l	37.g	$12$	$16$	$4$	$6.049$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$2$	$0$	\(8\)	\(24\)	\(6\)	\(-14\)		$3^{2}$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\beta _{8}-\beta _{9})q^{2}+(1-\beta _{9})q^{3}+(2\beta _{5}+\cdots)q^{4}+\cdots\)
222.3.o.a	$222$	$3$	222.o	111.n	$18$	$156$	$26$	$6.049$		None		$4$	$0$	\(0\)	\(6\)	\(0\)	\(30\)			$\mathrm{SU}(2)[C_{18}]$
222.3.p.a	$222$	$3$	222.p	111.p	$18$	$156$	$26$	$6.049$		None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(-30\)			$\mathrm{SU}(2)[C_{18}]$
222.3.r.a	$222$	$3$	222.r	37.i	$36$	$24$	$2$	$6.049$		None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
222.3.r.b	$222$	$3$	222.r	37.i	$36$	$36$	$3$	$6.049$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
222.3.r.c	$222$	$3$	222.r	37.i	$36$	$36$	$3$	$6.049$		None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
222.3.r.d	$222$	$3$	222.r	37.i	$36$	$48$	$4$	$6.049$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
222.4.a.a	$222$	$4$	222.a	1.a	$1$	$1$	$1$	$13.098$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-2q^{5}+6q^{6}+\cdots\)
222.4.a.b	$222$	$4$	222.a	1.a	$1$	$1$	$1$	$13.098$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(0\)	\(-16\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-6q^{6}-2^{4}q^{7}+\cdots\)
222.4.a.c	$222$	$4$	222.a	1.a	$1$	$1$	$1$	$13.098$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-16\)	\(-24\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-2^{4}q^{5}+6q^{6}+\cdots\)
222.4.a.d	$222$	$4$	222.a	1.a	$1$	$2$	$2$	$13.098$	\(\Q(\sqrt{11}) \)	None	✓	$1$	$1$	\(-4\)	\(6\)	\(-14\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-7+3\beta )q^{5}+\cdots\)
222.4.a.e	$222$	$4$	222.a	1.a	$1$	$2$	$2$	$13.098$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(4\)	\(-6\)	\(-4\)	\(-20\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-2+3\beta )q^{5}+\cdots\)
222.4.a.f	$222$	$4$	222.a	1.a	$1$	$2$	$2$	$13.098$	\(\Q(\sqrt{97}) \)	None	✓	$1$	$0$	\(4\)	\(-6\)	\(-4\)	\(17\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-4\beta q^{5}-6q^{6}+\cdots\)
222.4.a.g	$222$	$4$	222.a	1.a	$1$	$3$	$3$	$13.098$	3.3.51992.1	None	✓	$1$	$0$	\(-6\)	\(-9\)	\(-12\)	\(21\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-4+3\beta _{1}+\cdots)q^{5}+\cdots\)
222.4.a.h	$222$	$4$	222.a	1.a	$1$	$3$	$3$	$13.098$	3.3.14013.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(6\)	\(-3\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(2-\beta _{1})q^{5}+\cdots\)
222.4.a.i	$222$	$4$	222.a	1.a	$1$	$3$	$3$	$13.098$	3.3.576860.1	None	✓	$1$	$0$	\(6\)	\(9\)	\(14\)	\(25\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(5-\beta _{1})q^{5}+\cdots\)
222.4.c.a	$222$	$4$	222.c	37.b	$2$	$4$	$4$	$13.098$	\(\Q(i, \sqrt{21})\)	None		$2$	$0$	\(0\)	\(-12\)	\(0\)	\(16\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-3q^{3}-4q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)