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Results (1-50 of 265 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
208.1.c.a	$208$	$1$	208.c	52.b	$2$	$1$	$1$	$0.104$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-13}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{9}-q^{13}-2q^{17}+q^{25}-2q^{29}+\cdots\)
208.1.y.a	$208$	$1$	208.y	52.i	$6$	$2$	$1$	$0.104$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
208.2.a.a	$208$	$2$	208.a	1.a	$1$	$1$	$1$	$1.661$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{7}-2q^{9}-6q^{11}+\cdots\)
208.2.a.b	$208$	$2$	208.a	1.a	$1$	$1$	$1$	$1.661$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-5q^{7}-2q^{9}+2q^{11}+\cdots\)
208.2.a.c	$208$	$2$	208.a	1.a	$1$	$1$	$1$	$1.661$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots\)
208.2.a.d	$208$	$2$	208.a	1.a	$1$	$1$	$1$	$1.661$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}-q^{7}+6q^{9}+2q^{11}+\cdots\)
208.2.a.e	$208$	$2$	208.a	1.a	$1$	$2$	$2$	$1.661$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(2-\beta )q^{5}+\beta q^{7}+(1+\beta )q^{9}+\cdots\)
208.2.f.a	$208$	$2$	208.f	13.b	$2$	$2$	$2$	$1.661$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$3$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{3}+iq^{5}+iq^{7}-2q^{9}+(2-i)q^{13}+\cdots\)
208.2.f.b	$208$	$2$	208.f	13.b	$2$	$4$	$4$	$1.661$	\(\Q(i, \sqrt{17})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-\beta _{3})q^{3}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
208.2.i.a	$208$	$2$	208.i	13.c	$3$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(0\)	\(-2\)	\(-6\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{3}-3q^{5}-4\zeta_{6}q^{7}+\cdots\)
208.2.i.b	$208$	$2$	208.i	13.c	$3$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{5}+4\zeta_{6}q^{7}+3\zeta_{6}q^{9}+(4-4\zeta_{6})q^{11}+\cdots\)
208.2.i.c	$208$	$2$	208.i	13.c	$3$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(4\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{3}+2q^{5}-\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots\)
208.2.i.d	$208$	$2$	208.i	13.c	$3$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(4\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(3-3\zeta_{6})q^{3}+2q^{5}+\zeta_{6}q^{7}-6\zeta_{6}q^{9}+\cdots\)
208.2.i.e	$208$	$2$	208.i	13.c	$3$	$4$	$2$	$1.661$	\(\Q(\sqrt{-3}, \sqrt{17})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(-6\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(\beta _{1}+\beta _{3})q^{7}+\cdots\)
208.2.k.a	$208$	$2$	208.k	52.f	$4$	$2$	$1$	$1.661$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(1+i)q^{5}+3q^{9}+(2+3i)q^{13}-2iq^{17}+\cdots\)
208.2.k.b	$208$	$2$	208.k	52.f	$4$	$12$	$6$	$1.661$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$2^{7}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{2}q^{3}-\beta _{6}q^{5}-\beta _{11}q^{7}+(-2-\beta _{1}+\cdots)q^{9}+\cdots\)
208.2.l.a	$208$	$2$	208.l	208.l	$4$	$2$	$1$	$1.661$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(2\)	\(2\)	\(0\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+i)q^{2}+(1+i)q^{3}+2iq^{4}+2iq^{6}+\cdots\)
208.2.l.b	$208$	$2$	208.l	208.l	$4$	$50$	$25$	$1.661$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-6\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{4}]$
208.2.n.a	$208$	$2$	208.n	16.e	$4$	$48$	$24$	$1.661$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.2.p.a	$208$	$2$	208.p	208.p	$4$	$8$	$4$	$1.661$	8.0.959512576.1	$_{}$	None	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\beta _{1}+\beta _{4})q^{2}-\beta _{3}q^{3}-2q^{4}-\beta _{4}q^{5}+\cdots\)
208.2.p.b	$208$	$2$	208.p	208.p	$4$	$44$	$22$	$1.661$		$_{}$	None	None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.2.s.a	$208$	$2$	208.s	208.s	$4$	$2$	$1$	$1.661$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(2\)	\(2\)	\(0\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+i)q^{2}+(1-i)q^{3}+2iq^{4}+2q^{6}+\cdots\)
208.2.s.b	$208$	$2$	208.s	208.s	$4$	$50$	$25$	$1.661$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-6\)	\(-4\)	\(-6\)			$\mathrm{SU}(2)[C_{4}]$
208.2.w.a	$208$	$2$	208.w	13.e	$6$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(-1\)	\(0\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+\zeta_{6})q^{3}+(2-\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots\)
208.2.w.b	$208$	$2$	208.w	13.e	$6$	$2$	$1$	$1.661$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(2-2\zeta_{6})q^{3}+(1-2\zeta_{6})q^{5}-\zeta_{6}q^{9}+\cdots\)
208.2.w.c	$208$	$2$	208.w	13.e	$6$	$8$	$4$	$1.661$	8.0.195105024.2	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(6\)		$2^{4}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(\beta _{2}-\beta _{4}+\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots\)
208.2.bf.a	$208$	$2$	208.bf	208.af	$12$	$104$	$26$	$1.661$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-2\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{12}]$
208.2.bh.a	$208$	$2$	208.bh	208.ah	$12$	$104$	$26$	$1.661$		$_{}$	None	None		$4$	$0$	\(-6\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
208.2.bj.a	$208$	$2$	208.bj	208.aj	$12$	$104$	$26$	$1.661$		$_{}$	None	None		$4$	$0$	\(-2\)	\(-2\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
208.2.bk.a	$208$	$2$	208.bk	208.ak	$12$	$104$	$26$	$1.661$		$_{}$	None	None		$2$	$0$	\(-4\)	\(-2\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{12}]$
208.2.bm.a	$208$	$2$	208.bm	52.l	$12$	$4$	$1$	$1.661$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$1$	\(0\)	\(-6\)	\(-6\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-2-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots\)
208.2.bm.b	$208$	$2$	208.bm	52.l	$12$	$4$	$1$	$1.661$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-2+\zeta_{12}^{2})q^{3}+(1-\zeta_{12}^{3})q^{5}+\cdots\)
208.2.bm.c	$208$	$2$	208.bm	52.l	$12$	$4$	$1$	$1.661$	\(\Q(\zeta_{12})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{U}(1)[D_{12}]$	\(q+(-2-3\zeta_{12}+3\zeta_{12}^{2}+2\zeta_{12}^{3})q^{5}+\cdots\)
208.2.bm.d	$208$	$2$	208.bm	52.l	$12$	$4$	$1$	$1.661$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(6\)	\(-6\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(2+\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+(-1+\cdots)q^{5}+\cdots\)
208.2.bm.e	$208$	$2$	208.bm	52.l	$12$	$4$	$1$	$1.661$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(6\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(2-\zeta_{12}^{2})q^{3}+(1-\zeta_{12}^{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
208.2.bm.f	$208$	$2$	208.bm	52.l	$12$	$8$	$2$	$1.661$	8.0.454201344.7	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{12}]$	\(q+\beta _{1}q^{3}+(1-\beta _{2}+\beta _{3}+2\beta _{4})q^{5}+\cdots\)
208.3.c.a	$208$	$3$	208.c	52.b	$2$	$2$	$2$	$5.668$	\(\Q(\sqrt{13}) \)	$_{}$	\(\Q(\sqrt{-13}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta q^{7}+9q^{9}+3\beta q^{11}+13q^{13}+\cdots\)
208.3.c.b	$208$	$3$	208.c	52.b	$2$	$4$	$4$	$5.668$	\(\Q(\sqrt{3}, \sqrt{-23})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{3}-\beta _{2}q^{5}+5\beta _{1}q^{7}-14q^{9}+\cdots\)
208.3.c.c	$208$	$3$	208.c	52.b	$2$	$8$	$8$	$5.668$	8.0.\(\cdots\).37	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{9}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{3}+\beta _{2}q^{5}+(\beta _{4}+\beta _{7})q^{7}-\beta _{1}q^{9}+\cdots\)
208.3.d.a	$208$	$3$	208.d	4.b	$2$	$4$	$4$	$5.668$	4.0.2873.1	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$2^{4}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+(2+\beta _{2})q^{5}+(\beta _{1}+\beta _{3})q^{7}+\cdots\)
208.3.d.b	$208$	$3$	208.d	4.b	$2$	$8$	$8$	$5.668$	8.0.\(\cdots\).2	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)		$2^{10}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{3}+(-1+\beta _{2})q^{5}+(\beta _{5}+\beta _{7})q^{7}+\cdots\)
208.3.m.a	$208$	$3$	208.m	208.m	$4$	$108$	$54$	$5.668$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.3.o.a	$208$	$3$	208.o	208.o	$4$	$108$	$54$	$5.668$		$_{}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.3.q.a	$208$	$3$	208.q	16.f	$4$	$96$	$48$	$5.668$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.3.r.a	$208$	$3$	208.r	208.r	$4$	$108$	$54$	$5.668$		$_{}$	None	None		$2$	$0$	\(-2\)	\(-4\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
208.3.t.a	$208$	$3$	208.t	13.d	$4$	$2$	$1$	$5.668$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(10\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-2q^{3}+(5+5i)q^{5}+(3-3i)q^{7}-5q^{9}+\cdots\)
208.3.t.b	$208$	$3$	208.t	13.d	$4$	$2$	$1$	$5.668$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-3-3i)q^{5}+(-2+2i)q^{7}-9q^{9}+\cdots\)
208.3.t.c	$208$	$3$	208.t	13.d	$4$	$4$	$2$	$5.668$	\(\Q(i, \sqrt{10})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(8\)	\(12\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-\beta _{1}+\beta _{3})q^{3}+(2-2\beta _{2}+\beta _{3})q^{5}+\cdots\)
208.3.t.d	$208$	$3$	208.t	13.d	$4$	$6$	$3$	$5.668$	6.0.\(\cdots\).3	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{3}q^{3}+(-1+\beta _{2}-\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots\)
208.3.t.e	$208$	$3$	208.t	13.d	$4$	$6$	$3$	$5.668$	6.0.195552256.1	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{3}q^{3}-\beta _{4}q^{5}+(-2-\beta _{1}+2\beta _{2}+\cdots)q^{7}+\cdots\)